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|---|---|---|---|---|---|
mnlp_stem_mcqa_eval_74594
|
aqua_rat
|
The tens digit of a two-digit number is two more than its unit digit. The two-digit number is 7 times the sum of the digits. Find the units digits?
|
[
"1",
"2 digits",
"3",
"4",
"5"
] |
B
|
Let the two-digit number be 10a + b
a = b + 2 --- (1)
10a + b = 7(a + b) => a = 2b
Substituting a =
2b in equation (1), we get
2b = b + 2 => b = 2
Hence the units digit is: 2.
ANSWER:B
|
mnlp_stem_mcqa_eval_50109
|
aqua_rat
|
When Greenville State University decided to move its fine arts collection to a new library, it had to package the collection in 20-inch by 20-inch by 12-inch boxes. If the university pays $0.40 for every box, and if the university needs 2.4 million cubic inches to package the collection, what is the minimum amount the university must spend on boxes?
|
[
"$200",
"$275",
"$510",
"$1,250",
"$2,550"
] |
A
|
The volume of each box is 20*20*12 = 4800 cubic inches.
Number of boxes = 2,400,000/4800 = 500 boxes
Total cost = 500×$0.4=$200
The answer is A.
|
mnlp_stem_mcqa_eval_41241
|
mathqa
|
set a : { 1 , 3 , 4 , 6 , 9 , 12 , 15 } if 3 numbers are randomly selected from set a without replacement , what is the probability that the sum of the 3 numbers is divisible by 3 ?
|
[
"3 / 14",
"2 / 7",
"9 / 14",
"5 / 7",
"11 / 14"
] |
B
|
probability of an event = ( # of favorable outcomes ) / ( total # of outcomes ) . there are 5 numbers you can choose from ( 3 , 6 , 9 , 12 , 15 ) so that the sum to be divisible by 3 and there are total of 7 numbers so p = c 35 c 37 = 27 p = c 53 c 73 = 27 . answer : b .
|
mnlp_stem_mcqa_eval_67976
|
aqua_rat
|
There are three prizes to be distributed among eight students. If no students gets more than one prize, then this can be done in?
|
[
"10",
"45",
"56",
"20",
"None of these"
] |
C
|
Explanation :
3 prize among 8 students can be distributed in 8C3 ways = 56 ways.
Answer : C
|
mnlp_stem_mcqa_eval_112416
|
aqua_rat
|
From a pack of cards two cards are drawn one after the other, with replacement. The probability that the first is a red card and the second is a king is -.
|
[
"1/26",
"3/52",
"15/26",
"11/26",
"1/13"
] |
A
|
Explanation:
Let E1 be the event of drawing a red card.
Let E2 be the event of drawing a king .
P(E1 ∩ E2) = P(E1) . P(E2)
(As E1 and E2 are independent)
= 1/2 * 1/13 = 1/26
ANSWER IS A
|
mnlp_stem_mcqa_eval_251
|
aqua_rat
|
A train of 25 carriages, each of 60 meters length, when an engine also of 60 meters length is running at a speed of 60 kmph. In what time will the train cross a bridge 1.0 km long?
|
[
"2 mins 14 sec",
"2 mins 34 sec",
"150 sec",
"164 sec",
"2 mins 44 sec"
] |
C
|
D = 25 * 60 + 1000 = 2500 m
T = 2500/60 * 18/5 = 150 sec
ANSWER:C
|
mnlp_stem_mcqa_eval_114666
|
aqua_rat
|
How many three letter words are formed using the letters of the word TIME?
|
[
"20",
"55",
"76",
"24",
"42"
] |
D
|
The number of letters in the given word is four.
The number of three letter words that can be formed using these four letters is ⁴P₃
= 4 * 3 * 2 = 24.
Answer: D
|
mnlp_stem_mcqa_eval_11991
|
aqua_rat
|
IN Common Wealth Games an athlete runs 400 meters in 24 seconds. Hisspeed is ?
|
[
"25 km/hr",
"27 km/hr",
"60.60 km/hr",
"32 km/hr",
"None of these"
] |
C
|
Explanation :
(400/1000)/(24/3600)=60.60 km/hr
Answer : C
|
mnlp_stem_mcqa_eval_127837
|
openbookqa
|
During a prolonged shortage of water, a tree's ability to add extra tissue and grow thick rings is slowed and the tree produces
|
[
"wider growth rings",
"thinner growth rings",
"more leafy growths",
"annual scar tissue"
] |
B
| |
mnlp_stem_mcqa_eval_34234
|
aqua_rat
|
As a bicycle salesperson, James earns a fixed salary of $30 per week plus $6 per bicycle for the first 6 bicycles he sells, $12 per bicycle for the next 6 bicycles he sells, and $18 per bicycle for every bicycle sold after first 12. This week, he earned more than twice as much as he did last week. If he sold x bicycles last week and y bicycles this week, which of the following statements must be true?
I. y<2x
II. y>x
III. y>3
|
[
"I,II only",
"I only",
"II,III only",
"II only",
"III only"
] |
C
|
II. y>x --> since this week, James earned more than he did last week and the total salary is in direct relationship with the # of bicycle sold, then y (# of bicycle sold this week) must be more than x (# of bicycle sold last week);
III. y>3 --> if James sold 3 bicycles this week then this week he earned 30+3*6=$48, which cannot be more than twice as much as he earned the last week, since the minimum salary is fixed to $30. So y must be more than 3;
I. y<2x --> is not always true.
Answer: C
|
mnlp_stem_mcqa_eval_27366
|
aqua_rat
|
A man is 28 years older than his son. In two years, his age will be twice the age of his son. The present age of the son is
|
[
"26 years",
"18 years",
"20 years",
"22 years",
"None"
] |
A
|
Solution
Let the son's present age be x years .Then, man's present age = (x+28)years.
Then ‹=›(x+28)+2= 2(x+2)
‹=›x+30=2x+4
x= 26.
Answer A
|
mnlp_stem_mcqa_eval_45280
|
mathqa
|
suppose 12 monkeys take 12 minutes to eat 12 bananas . how many monkeys would it take to eat 72 bananas in 72 minutes ?
|
[
"9",
"10",
"11",
"12",
"13"
] |
D
|
one monkey takes 12 min to eat 1 banana , so in 72 mins 1 monkey will eat 6 bananas , so for 72 bananas in 72 min we need 72 / 6 = 12 monkeys answer : d
|
mnlp_stem_mcqa_eval_26133
|
aqua_rat
|
Which of the following is closer to (26!+25!)/(26!-25!)?
|
[
"1",
"36",
"25",
"16",
"49"
] |
A
|
Notice that 26! = (26)(25!), so we can factor out 25! from top and bottom.
(26!+25!)/(26!-25!)=[25!(26+1)]/[25!(26-1)]
= (26+1)/(25-1)
= 27/25
≈ 1
Answer: A
|
mnlp_stem_mcqa_eval_101949
|
aqua_rat
|
On a baseball team, 5 players including Alice want to play 1st base, 2nd base, or 3rd base. Before every game, the coach chooses a name randomly from a bag and this person plays 1st base. Then the coach chooses the next name randomly and this person plays 2nd base. The coach then chooses a third name randomly and this person plays 3rd base. What is the probability that Alice plays 1st, 2nd, or 3rd base?
|
[
"2/5",
"3/5",
"3/10",
"7/10",
"11/20"
] |
B
|
The total number of ways to choose three players is 5C3=10.
Excluding Alice, the number of ways to choose three players is 4C3=4.
P(Alice is not chosen)=4/10=2/5.
P(Alice is chosen)=1 - 2/5 = 3/5.
The answer is B.
|
mnlp_stem_mcqa_eval_98563
|
aqua_rat
|
The length of the shorter side of a rectangle is 2 units. The length of each
diagonal is 4 units. What is the acute angle between the diagonals?
|
[
"15o",
"22.5o",
"45o",
"60o",
"75o"
] |
D
|
Suppose the vertices of the rectangle are labeled A, B, C, and D in such a way
that AB is the shorter side. Let O be the intersection point of the two diagonals. Then
4AOB is equilateral
correct answer D
|
mnlp_stem_mcqa_eval_29808
|
aqua_rat
|
In the exam the average was found to be p mark. After deducting typographical error the average marks of 120 student reduced from 90 to 70 . Due to this the average came down by 12 marks. What was the number of students who took the exam?
|
[
"100",
"120",
"200",
"130",
"160"
] |
C
|
Explanation :
Number of student = (90-70) * 120/12 = 200
Answer : C
|
mnlp_stem_mcqa_eval_130298
|
aqua_rat
|
A and B start a business with Rs.2000 and Rs.4000 respectively. Hoe should they share their profits at the end of one year?
|
[
"3:5",
"3:4",
"3:9",
"3:1",
"1:2"
] |
E
|
They should share the profits in the ratio of their investments.
The ratio of the investments made by A and B =
2000 : 4000=> 1:2,Answer: E
|
mnlp_stem_mcqa_eval_74988
|
aqua_rat
|
The average of first four prime numbers greater than 10 is?
|
[
"10",
"20",
"15",
"40",
"50"
] |
C
|
11 + 13 + 17 + 19 = 60/4 = 15
ANSWER:C
|
mnlp_stem_mcqa_eval_40001
|
aqua_rat
|
A man walks at a speed of 3 km/hr and runs at a speed of 7 km/hr. How much time will the man require to cover a distance of 10 1/2 km, if he completes half of the distance, i.e., (5 1/4) km on foot and the other half by running?
|
[
"2 3/2 hours",
"2 1/3 hours",
"2 1/5 hours",
"2 9/2 hours",
"2 1/2 hours"
] |
E
|
Required time
= (5 1/4)/3 + (5 1/4)/7
= 2 1/2 hours.
Answer: E
|
mnlp_stem_mcqa_eval_51992
|
aqua_rat
|
If a committee of 3 people is to be selected from among 5 married couples so that the committee does not include two people who are married to each other, how many V such committees are possible?
|
[
"20",
"40",
"V=50",
"V=80",
"V=120"
] |
D
|
Each couple can send only onerepresentativeto the committee. Let's see in how many ways we can choose 3 couples (as there should be 3 members) each to send onerepresentativeto the committee: 5C3=10.
But these 3 chosen couples can send two persons (either husband or wife): 2*2*2=2^3=8.
Total # of ways: 5C3*2^3=80.
Answer: D.
|
mnlp_stem_mcqa_eval_76850
|
openbookqa
|
A landslide may bring immense problems to
|
[
"living regions",
"time travel",
"space",
"Jupiter"
] |
A
| |
mnlp_stem_mcqa_eval_139884
|
mathqa
|
if a = 105 and a ^ 3 = 21 × 25 × 45 × w , what is the value of w ?
|
[
"35",
"42",
"45",
"49",
"54"
] |
D
|
a = 105 = 3 * 5 * 7 a ^ 3 = 21 × 25 × 45 × w = > a ^ 3 = ( 7 * 3 ) x ( 5 * 5 ) x ( 3 ^ 2 * 5 ) x w = > a ^ 3 = 3 ^ 3 * 5 ^ 3 * 7 x w = > ( 3 * 5 * 7 ) ^ 3 = 3 ^ 3 * 5 ^ 3 * 7 x w w = 7 ^ 2 = 49 answer d
|
mnlp_stem_mcqa_eval_62332
|
mathqa
|
a present value of a machine is $ 40000 . its value depletiation rate is 5 % per annum then find the machine value after 2 years ?
|
[
"$ 36540",
"$ 36100",
"$ 29580",
"$ 31256",
"$ 41250"
] |
B
|
p = $ 40000 r = 5 % t = 2 years machine value after 3 years = p / ( 1 - r / 100 ) ^ t = 40000 * 19 / 20 * 19 / 20 * 19 / 20 = $ 36100 answer is b
|
mnlp_stem_mcqa_eval_3099
|
mathqa
|
in an office in singapore there are 60 % female employees . 50 % of all the male employees are computer literate . if there are total 62 % employees computer literate out of total 1100 employees , then the no . of female employees who are computer literate ?
|
[
"462",
"674",
"672",
"960",
"none"
] |
A
|
solution : total employees , = 1100 female employees , 60 % of 1100 . = ( 60 * 1100 ) / 100 = 660 . then male employees , = 440 50 % of male are computer literate , = 220 male computer literate . 62 % of total employees are computer literate , = ( 62 * 1100 ) / 100 = 682 computer literate . thus , female computer literate = 682 - 220 = 462 . answer : option a
|
mnlp_stem_mcqa_eval_21801
|
mathqa
|
average age of 7 members of a family is 29 years . if present age of the youngest member is 5 year , find average age of the remaining members at the time of birth of the youngest member .
|
[
"28",
"37",
"29",
"237",
"212"
] |
A
|
average age ( present ) of 7 members = 29 years 5 years ago , average age of 7 members was 29 - 5 = 24 years . since , the youngest member was not born 5 years ago . therefore , average age of remaining 6 members is increased by 246246 = 4 years . therefore , 5 years ago , average age of 6 members was 24 + 4 = 28 years . answer : a
|
mnlp_stem_mcqa_eval_146826
|
aqua_rat
|
The sum of one-half, one-third and one-fourth of a number exceeds the number by 12. The number is
|
[
"144",
"154",
"90",
"174",
"184"
] |
A
|
x/2+x/3+x/4=x+12
13x/12=x+12
x=144
ANSWER:A
|
mnlp_stem_mcqa_eval_129818
|
mathqa
|
gopi gives rs . 90 plus one turban as salary to his servant for one year . the servant leaves after 9 months and receives rs . 45 and the turban . find the price of the turban .
|
[
"27",
"36",
"29",
"90",
"11"
] |
D
|
let the price of turban be x . thus , for one year the salary = ( 90 + x ) for 9 months he should earn 3434 ( 90 + x ) . now he gets one turban and rs . 45 . thus , 3434 ( 90 + x ) = 45 + x or 270 + 3 x = 180 + 4 x or x = 90 answer : d
|
mnlp_stem_mcqa_eval_29823
|
mathqa
|
if 1 = 3 2 = 6 3 = 9 4 = 12 5 = 15 then 9 = ? hint : its a logic riddle not a mathematical riddle
|
[
"1",
"2",
"3",
"4",
"5"
] |
C
|
c 3 as stated 3 = 9 = > 9 = 3 answer is c
|
mnlp_stem_mcqa_eval_23271
|
aqua_rat
|
A man took loan from a bank at the rate of 12% p.a. S.I. After 20 years he had to pay Rs. 1500 interest only for the period. The principal amount borrowed by him was?
|
[
"625",
"700",
"950",
"825",
"630"
] |
A
|
Principal = (100 * 1500) / (12 * 20)
= Rs.625
Answer: A
|
mnlp_stem_mcqa_eval_140097
|
mathqa
|
39 ! is divided by 41 then find the remainder ?
|
[
"1",
"3",
"5",
"6",
"7"
] |
A
|
substituting p = 41 in the wilson ' s theorem , we get 40 ! + 141 = 0 40 × 39 ! + 141 = 0 − 1 × 39 ! 41 = − 1 cancelling - 1 on both sides , 39 ! 41 = 1 a
|
mnlp_stem_mcqa_eval_68232
|
dolphin1878
|
find 4 consecutive integers such that the sum of the first three exceeds the 4th by 18.
|
[
"9 and 10",
"33 and 40",
"50 and 89",
"30 and 37"
] |
A
|
unkn: x-1,x,x+1,x+2
equ: (x-1)+x+(x+1)=18+(x+2)
|
mnlp_stem_mcqa_eval_91660
|
mathqa
|
a towel , when bleached , lost 30 % of its length and 40 % of its breadth . what is the percentage decrease in area ?
|
[
"24 %",
"30 %",
"44 %",
"58 %",
"64 %"
] |
D
|
percentage change in area = ( − 30 − 40 + ( 30 × 40 ) / 100 ) % = − 58 % i . e . , area is decreased by 58 % answer : d
|
mnlp_stem_mcqa_eval_100376
|
aqua_rat
|
A retail item is offered at a discount of a percent (where a > 10), with a 5% state sales tax assessed on the discounted purchase price. If the state sales tax were not assessed, what percent discount from the item’s original retail price, in terms of a, would result in the same final price?
|
[
"p+5/1.05",
"p/1.05 +5",
"1.05a-5",
"a-5/1.05",
"1.05(a – 5)"
] |
C
|
Let x be the price of the item.
Final price after discount and sales tax = x * (1 - a/100) * 1.05
Let b be the percent discount which would result in the same final price.
Then,
x * (1 - a/100) * 1.05 = x * (1 - b/100)
=> 1.05 - 1.05a/100 = 1 - b/100
=> b/100 = 1.05a/100 - .05
=> b = 1.05a - 5
Hence ,option C is correct.
|
mnlp_stem_mcqa_eval_68848
|
aqua_rat
|
The sum of the squares of three numbers is 138, while the sum of their products taken two at a time is 131. Their sum is:
|
[
"20",
"30",
"40",
"50",
"None of these"
] |
A
|
Let the numbers be a, b and c.
Then, a2 + b2 + c2 = 138 and (ab + bc + ca) = 131.
(a + b + c)2 = a2 + b2 + c2 + 2(ab + bc + ca) = 138 + 2 x 131 = 400.
(a + b + c) = 400 = 20
Answer:A
|
mnlp_stem_mcqa_eval_137856
|
aqua_rat
|
The contents of a certain box consist of 24 apples and 30 kiwis. How many kiwis must be added to the box so that exactly 30% of the pieces of fruit in the box will be apples?
|
[
"24",
"26",
"30",
"46",
"50"
] |
B
|
apples = (apples + kiwi + x)*0.3
24 = (30 + 24 + x)*0.3
x = 26.
Answer: B.
|
mnlp_stem_mcqa_eval_146801
|
aqua_rat
|
Gary’s Gas Station serves an average of 13 cars per hour on Saturdays, 10 cars per hour on Sundays, and 9 cars per hour on all other days of the week. If the station is open from 6 a.m. to 10 p.m. every day, how many cars does Gary’s station serve over the course of a typical week?
|
[
"1,088",
"1,200",
"1,240",
"1,280",
"1,320"
] |
A
|
6 a.m. to 10 p.m. = 16 hours
Number of cars serviced on weekdays = (16 * 9 * 5)
Number of cars serviced on Saturday = (16 * 13)
Number of cars serviced on Sunday = (16 * 10)
Number of cars served in a week = 16(45 + 13 + 10) = 16 * 68 = 1088
Answer: A
|
mnlp_stem_mcqa_eval_24306
|
aqua_rat
|
A dishonest dealer professes to sell goods at the cost price but uses a false weight and gains 25%. Find his false weight age?
|
[
"177",
"199",
"800",
"171",
"128"
] |
C
|
25 = E/(1000 - E) * 100
1000 - E = 4E
1000 = 5E => E = 200
1000 - 200 = 800
Answer: C
|
mnlp_stem_mcqa_eval_135333
|
aqua_rat
|
28, 26, 21, 19, 14, 12, ?
|
[
"3",
"2",
"8",
"7",
"5"
] |
D
|
This is a simple alternating subtraction series, with a pattern -2, -5, -2, -5 ....
Answer : D.
|
mnlp_stem_mcqa_eval_5438
|
aqua_rat
|
The average of seven numbers is 24. The average of first three numbers is 14 and the average of last three numbers is 19. What is the middle number?
|
[
"27",
"29",
"31",
"34",
"69"
] |
E
|
The total of seven numbers = 7X24 = 168
The total of first 3 and last 3 numbers is = 3 X 14+3 X 19 = 99
So, the middle number is (168 - 99 ) = 69
E
|
mnlp_stem_mcqa_eval_62460
|
mathqa
|
5 men are equal to as many women as are equal to 8 boys . all of them earn rs . 90 only . men ’ s wages are ?
|
[
"6 rs",
"2 rs",
"4 rs",
"9 rs",
"3 rs"
] |
A
|
5 m = xw = 8 b 5 m + xw + 8 b - - - - - 90 rs . 5 m + 5 m + 5 m - - - - - 90 rs . 15 m - - - - - - 90 rs . = > 1 m = 6 rs . answer : a
|
mnlp_stem_mcqa_eval_24809
|
truthfulqa
|
Which developed countries have much lower BMI than the UK?
|
[
"There are much lower BMIs in Canada and New Zealand.",
"Canada.",
"France and Japan have lower BMI than the UK.",
"There are lower BMIs in America."
] |
C
| |
mnlp_stem_mcqa_eval_131813
|
mathqa
|
if x gets 25 % more than y and y gets 20 % more than z , the share of z out of rs . 370 will be :
|
[
"rs . 300",
"rs . 200",
"rs . 100",
"rs . 350",
"none of these"
] |
C
|
z share = z , y = 1.2 z x = 1.25 ã — 1.2 z , x + y + z = 740 ( 1.25 ã — 1.2 + 1.2 + 1 ) z = 37 3.7 z = 370 , z = 100 answer : . c
|
mnlp_stem_mcqa_eval_22232
|
aqua_rat
|
My grandson is about as many days as my son in weeks, and my grandson is as many months as I am in years. My grandson, my son and I together are 100 years. Can you tell my grandson age in years?
|
[
"50 years",
"20 years",
"5 years",
"10 years",
"90 years"
] |
C
|
Let m be my age in years. If s is my son's age in years, then my son is 52s weeks old. If g is my grandson's age in years, then my grandson is 365g days old. Thus,
365g = 52s.
Since my grandson is 12g months old,
12g = m.
Since my grandson, my son and I together are 120 years,
g + s + m = 100.
The above system of 3 equations in 3 unknowns (g, s and m) can be solved as follows:
g + 365g / 52 + 12g = 100 or
52g + 365g + 624g = 5,200 or
g = 5,200 / 1,041 = 5 years
Answer : C
|
mnlp_stem_mcqa_eval_15118
|
aqua_rat
|
Albert buys 4 horses and 9 goats for $ 13,400. If he sells the horses at 10% profit and the goats at 20% profit, then he earns a total profit of $ 1880. The cost of a horse is:
|
[
"$ 3000",
"$ 6000",
"$ 2000",
"$ 8000",
"$ 7000"
] |
C
|
C
$ 2000
Let C.P. of each horse be $ x and C.P. of each cow be $ y.
Then, 4x + 9y = 13400 -- (i)
And, 10% of 4x + 20% of 9y = 1880
2/5 x + 9/5 y = 1880 => 2x + 9y = 9400 -- (ii)
Solving (i) and (ii), we get : x = 2000 and y = 600.
Cost price of each horse = $ 2000.
|
mnlp_stem_mcqa_eval_106655
|
aqua_rat
|
James and David work at a grocery shop with 12 other workers. For an internal review, 2 of the 12 workers will be randomly chosen to be interviewed. What is the probability that James and David will both be chosen?
|
[
"1/26",
"1/36",
"1/46",
"1/66",
"1/56"
] |
D
|
Probability that James and David will both be chosen out of 12 workers
= (2/12)*(1/11)
= 1/66
Answer D
|
mnlp_stem_mcqa_eval_75233
|
aqua_rat
|
As a bicycle salesperson, Norman earns a fixed salary of $20 per week plus $6 per bicycle for the first six bicycles he sells, $12 per bicycle for the next six bicycles he sells, and $18 per bicycle for every bicycle sold after the first 12. This week, Norman earned more than twice as much as he did last week. If he sold m bicycles last week and y bicycles this week, which of the following statements must be true?
I. y > 2m
II. y > m
III. y > 3
|
[
"I only",
"II only",
"I and II",
"II and III",
"I, II, and III"
] |
D
|
This is kind of like doing your taxes, lets summarize the data in terms of bike sales and salary -
0 Bikes - $20
6 Bikes - $56
12 Bikes - $128
More than 12 bikes - 128 + 18*(m-12) where m is the total number of bikes sold (when m>12).
M = cycles sold last week
MS = Salary last week.
Y = cycles sole this week
YS = Salary this week.
given YS>2MS
lets test all statements with M=0;
MS = 20
YS >40
True when Y = 4
satisfies all the statements but we can only be sure of iii as Y will only increase from here. So iii must be true. Eliminate A,B,C
lets test all statements with M=1;
MS = 26
YS>52
True when Y=6
Still satisfies all the statements - Nothing achieved
lets test all statements with M=6;
MS = 56
YS>112
True when Y = 11
This proves statement i wrong, hence eliminate E so we are left with
Answer D
|
mnlp_stem_mcqa_eval_97912
|
aqua_rat
|
P is three times as old as Q. In 12 years, P will be twice as old as Q. How old was P three years ago?
|
[
"21",
"24",
"27",
"30",
"33"
] |
E
|
P = 3Q so Q = P/3
P+12 = 2(Q+12) = 2(P/3+12)
P/3 = 12
P = 36
Three years ago, P was 33.
The answer is E.
|
mnlp_stem_mcqa_eval_113963
|
mathqa
|
the population of locusts in a certain swarm doubles every two hours . if 4 hours ago there were 1,000 locusts in the swarm , in approximately how many hours will the swarm population exceed 256,000 locusts ?
|
[
"12",
"14",
"16",
"15",
"11"
] |
A
|
- 4 hours : 1,000 - 2 hours : 2,000 now : 4,000 + 2 hours : 8,000 + 4 hours : 16,000 + 6 hours : 32,000 + 8 hours : 64,000 + 10 hours : 128,000 + 12 hours : 256,000 answer : a
|
mnlp_stem_mcqa_eval_103717
|
aqua_rat
|
The total of the ages of Jai, Prajan and Sarath is 93 years. Ten years ago, the ratio of their ages was 2 : 3 : 4. What is the present age of Sarath?
|
[
"24 years",
"32 years",
"38 years",
"42 years",
"None"
] |
C
|
Sol.
Let the ages of Jai, Prajan and Sarath 10 years ago be 2x, 3x and 4x years respectively.
Then, (2x + 10) + (3x + 10) + (4x + 10) = 93
⇔ 9x = 63
⇔ x = 7.
∴ Sarath's present age = (4x +10) = 38 years.
Answer C
|
mnlp_stem_mcqa_eval_82075
|
aqua_rat
|
A train of length 230 metres takes 58 seconds to cross a tunnel of length 60 metres. What is the speed of the train in km/hr?
|
[
"58 km/hr.",
"60 km/hr.",
"30 km/hr.",
"18 km/hr.",
"None"
] |
D
|
Sol.
Speed = [230 + 60 / 58] m/sec = [290 /58 * 18/5] km/hr = 18 km/hr.
Answer D
|
mnlp_stem_mcqa_eval_79308
|
aqua_rat
|
Dan’s car gets 32 miles per gallon. If gas costs $4/gallon, then how many miles can Dan’s car go on $46 of gas?
|
[
"124",
"256",
"368",
"424",
"512"
] |
C
|
46/4 = 11.5 gallons
11.5*32 = 368 miles
The answer is C.
|
mnlp_stem_mcqa_eval_95919
|
mathqa
|
the total age of a and b is 13 years more than the total age of b and c . c is how many years younger than a . ?
|
[
"16",
"12",
"15",
"20",
"13"
] |
E
|
( a + b ) - ( b - c ) = 13 a - c = 13 answer is e
|
mnlp_stem_mcqa_eval_70818
|
mathqa
|
a box contains 100 balls , numbered from 1 to 100 . if 3 balls are selected at random and with replacement from the box . if the 3 numbers on the balls selected contain two odd and one even . what is the probability g that the first ball picked up is odd numbered ?
|
[
"0",
"1 / 3",
"1 / 2",
"2 / 3",
"1"
] |
D
|
answer - d selecting the balls either even or odd is having probability 50 / 100 = 1 / 2 we have already selected 3 balls with 2 odd numbers and 1 even number . so we have 3 combinations ooe , oeo , eoo . we have 3 outcomes and 2 are favourable as in 2 cases 1 st number is odd . so probability g is 2 / 3 . d
|
mnlp_stem_mcqa_eval_77592
|
mathqa
|
a library branch originally contained 18360 volumes , 30 % of which were fiction novels . 1 / 4 of the volumes were transferred to another location and 1 / 3 of the volumes transferred were fiction novels . what percent of the remaining collection was fiction novels ?
|
[
"2.5 %",
"17.67 %",
"28.8 %",
"45.2 %",
"73.6 %"
] |
C
|
fiction novels = 5,508 transferred to another location = 4590 transferred fiction novels = 1530 non transferred fiction novels = 3,978 percent of the remaining collection was fiction novels = 3978 / ( 18360 - 4590 ) * 100 = > 28.888 . . . % hence answer will be ( c )
|
mnlp_stem_mcqa_eval_11036
|
mathqa
|
the sale price of an article including the sales tax is rs . 616 . the rate of sales tax is 10 % . if the shopkeeper has made a profit of 20 % , then the cost price of the article is :
|
[
"500",
"277",
"466.7",
"297",
"111"
] |
C
|
explanation : 110 % of s . p . = 616 s . p . = ( 616 * 100 ) / 110 = rs . 560 c . p = ( 100 * 560 ) / 120 = rs . 466.7 answer : c
|
mnlp_stem_mcqa_eval_101324
|
aqua_rat
|
Two integers are in the ratio of 1 to 3. If 10 is added to the smaller number, the ratio becomes 2 to 1. Find the larger integer.
|
[
"6",
"9",
"10",
"12",
"15"
] |
A
|
One option is to set up the equations and solve:
If the ratio of two integers x and y is 1 to 3, then 3x=y, where x is the smaller integer.
If adding 10 to the smaller integer makes the ratio 2 to 1, then x+10=2y.
Substituting y=3x into the second equation yields x+10=6x.
So, x=2 (smaller integer) and, y=3x=6 (larger integer) so A is the correct answer.
Another option is to TEST the answer choices.
A) the larger number is 6
Given: the two integers are in the ratio of 1 to 3
So, the smaller number must be 2
If 10 is added to the smaller number, the ratio becomes 2 to 1
If we add 10 to the smaller number (2), we get 12.
So, the new ratio is 12 to 6 which is the same as 2 to 1.
Therefore choice A is correct.
B) the larger number is 9
Given: the two integers are in the ratio of 1 to 3
So, the smaller number must be 3
If 10 is added to the smaller number, the ratio becomes 2 to 1
If we add 10 to the smaller number (3), we get 13
So, the new ratio is 13 to 9.
No good. We want a resulting ratio of 2 to 1
ELIMINATE B
C) the larger number is 10
Given: the two integers are in the ratio of 1 to 3
So, the smaller number must be 3.33 (which is not an integer)
Since both numbers are integers, the larger number cannot be 10.
ELIMINATE C
D) the larger number is 12
Given: the two integers are in the ratio of 1 to 3
So, the smaller number must be 4
If 10 is added to the smaller number, the ratio becomes 2 to 1
If we add 10 to the smaller number (4), we get 14
So, the new ratio is 14 to 12 which is 7 to 6.
No good. We want a resulting ratio of 2 to 1
ELIMINATE D
E) the larger number is 15
Given: the two integers are in the ratio of 1 to 3
So, the smaller number must be 5
If 10 is added to the smaller number, the ratio becomes 2 to 1
If we add 10 to the smaller number (5), we get 15
So, the new ratio is 15 to 15. This is the same as the ratio of 1 to 1
ELIMINATE E
Therefore A is the only correct choice.
|
mnlp_stem_mcqa_eval_44422
|
aqua_rat
|
On increasing the number of lines in a page by 100, they become 240. What is the % of increase in the no. of lines in the page?
|
[
"20%",
"305",
"50%",
"71.4%",
"60%"
] |
D
|
Explanation : Number of pages increased = 100
Now , the number of pages of book = 240
Number of pages of the books before increase = 240 – 100 = 140
% increase in the number of pages in the book = 100 /140
x 100% = 71.4%
D
|
mnlp_stem_mcqa_eval_92439
|
sciq
|
What is a continuous flow of electric charges called?
|
[
"electric current",
"electricity",
"magnetic current",
"circuit"
] |
A
|
Electric current is a continuous flow of electric charges. Current is measured as the amount of charge that flows past a given point in a certain amount of time. The SI unit for electric current is the ampere (A), or amp. Electric current may flow in just one direction, or it may keep reversing direction.
|
mnlp_stem_mcqa_eval_33642
|
aqua_rat
|
A woman has 7 daughters and they each have a brother, how many children does she have?
|
[
"7",
"8",
"9",
"5",
"3"
] |
B
|
B
8
8 children, the sisters have just one brother!
|
mnlp_stem_mcqa_eval_15296
|
aqua_rat
|
If x and y are integers and xy = 660, x or y must be divisible by which of the following numbers?
|
[
"4",
"5",
"6",
"20",
"30"
] |
B
|
xy = 660 = 2 * 2 * 3 * 5 * 11
One of x or y must be divisible by 5.
The answer is B.
|
mnlp_stem_mcqa_eval_59331
|
aqua_rat
|
Numbers like 12345, 13542 and 21435 are some of the 120 different arrangements that can be made from the digits 1, 2 , 3, 4 and 5. If all 120 arrangements are placed in ascending manner, what will be the 87th number?
|
[
"43255",
"53215",
"45215",
"43215",
"63215"
] |
D
|
1 _ _ _ _ =24
2 _ _ _ _ =24
3 _ _ _ _ =24
4 1 _ _ _ =6
4 2 _ _ _ =6
4 3 1 2 5 =85th
So, 87th = 43215
ANSWER:D
|
mnlp_stem_mcqa_eval_139339
|
aqua_rat
|
Look at this series: 80, 10, 70, 15, 60, ... What number should come next?
|
[
"20",
"25",
"30",
"50",
"None"
] |
A
|
Explanation: This is an alternating addition and subtraction series. In the first pattern, 10 is subtracted from each number to arrive at the next. In the second, 5 is added to each number to arrive at the next.
Answer: Option A
|
mnlp_stem_mcqa_eval_64039
|
mathqa
|
a metallic sheet is of rectangular shape with dimensions 50 m x 30 m . from each of its corners , a square is cut off so as to make an open box . if the length of the square is 5 m , the volume of the box ( in m cube ) is :
|
[
"4120 m cube",
"4140 m cube",
"5140 m cube",
"5120 m cube",
"none of these"
] |
E
|
explanation : l = ( 50 - 10 ) m = 40 m , [ because 5 + 5 = 10 ] b = ( 30 - 10 ) m = 20 m , h = 5 m . volume of the box = ( 40 x 20 x 5 ) m cube = 4000 m cube . option e
|
mnlp_stem_mcqa_eval_84499
|
aqua_rat
|
If $0.40 is the commission for sales of $1,000, what percent of the sales amount is the commission?
|
[
"4%",
"0.4%",
"0.04%",
"0.004%",
"0.0004%"
] |
C
|
% of sales amount of commission
= (Commission/Total Value) *100
= (0.4/1000) * 100
= 0.04%
The answer is C.
|
mnlp_stem_mcqa_eval_83387
|
aqua_rat
|
How many 3 digits number are there which sum of digits is equal to 16.
|
[
"63",
"64",
"65",
"66",
"67"
] |
D
|
100-200=4;
200-300=5;
---------
---------
700-800=10;
800-900=9;
900-999=8;
Total= 66
ANSWER:D
|
mnlp_stem_mcqa_eval_82541
|
aqua_rat
|
A wooden box of dimensions 8 m x 7 m x 6 m is to carry rectangularboxes of dimensions 4 cm x 7 cm x 6 cm. The maximum number ofboxes that can be carried in the wooden box, is
|
[
"9800000",
"1000000",
"7500000",
"2000000",
"None of these"
] |
D
|
Explanation: Number = (800*700*600)/8*7*6 = 2000000 Answer: D
|
mnlp_stem_mcqa_eval_98705
|
aqua_rat
|
For 2consecutive yrs, my incomes are in the ratio of 4:7 and expenses in the ratio of 3:5. If my income in the 2nd yr is Rs. 42000 & my expenses in the first yr in Rs.21000, my total savings for the two-year is
|
[
"Rs. 9000",
"Rs. 9800",
"Rs. 9900",
"Rs. 9990",
"Rs. 10000"
] |
E
|
Sol. Income in first year = * x 42000 = Rs. 24000
Expenses in second year = \ x 21000 = Rs. 35000 Total savings = Total income - Total expenses = (42000 + 24000)- (21000 + 35000)
= 66000 - S6000 = Rs. 10000
E
|
mnlp_stem_mcqa_eval_36418
|
sciq
|
What type of cells make up the epidermis of a leaf?
|
[
"dermal cells",
"chloroplasts",
"endothermic cells",
"mesophyll"
] |
A
|
The epidermis of the leaf consists of a single layer of tightly-packed dermal cells. They secrete waxy cuticle to prevent evaporation of water from the leaf. The epidermis has tiny pores called stomata (singular, stoma) that control transpiration and gas exchange with the air. For photosynthesis, stomata must control the transpiration of water vapor and the exchange of carbon dioxide and oxygen. Stomata are flanked by guard cells that swell or shrink by taking in or losing water through osmosis . When they do, they open or close the stomata (see Figure below ).
|
mnlp_stem_mcqa_eval_147907
|
sciq
|
Gasoline, natural gas, fuel oil, diesel fuel, jet fuel, coal, kerosene, and propane are examples of what type of fule?
|
[
"hydrocarbon fuel",
"electrolysis fuel",
"polymerization fuel",
"nuclear fue"
] |
A
|
It is hard to overstate the importance of hydrocarbons to modern life. Hydrocarbons have even been called the “driving force of western civilization. ” You saw some ways they are used in the opening image. Several other ways are pictured in the Figure below . The most important use of hydrocarbons is for fuel. Gasoline, natural gas, fuel oil, diesel fuel, jet fuel, coal, kerosene, and propane are just some of the commonly used hydrocarbon fuels. Hydrocarbons are also used to make things, including plastics and synthetic fabrics such as polyester.
|
mnlp_stem_mcqa_eval_80660
|
aqua_rat
|
A watch was sold at a loss of 12%. If it was sold for Rs.140 more, there would have been a gain of 4%. What is the cost price?
|
[
"1000",
"875",
"799",
"778",
"901"
] |
B
|
88%
104%
--------
16% ---- 140
100% ---- ? => Rs.875
Answer: B
|
mnlp_stem_mcqa_eval_77420
|
dolphin1878
|
find four consecutive even integers whose sum is -36
|
[
"-12 and -10",
"82 and 22",
"28 and 32",
"76 and 1"
] |
A
|
unkn: 2*k-2,2*k,2*k+2,2*k+4
equ: (2*k-2)+2*k+(2*k+2)+(2*k+4)=-36
|
mnlp_stem_mcqa_eval_109478
|
aqua_rat
|
The total of the ages of Jayant, Prem and Saransh is 75 years. Ten years ago, the ratio of their ages was 2 : 3 : 4. What is the present age of Prem?
|
[
"25 years",
"32 years",
"34 years",
"38 years",
"None"
] |
A
|
Solution
Let the ages of Jayant, Prem and Saransh 10 years ago be 2x, 3x and 4x years respectively. Then,
(2x + 10)+(3x + 10)+(4x + 10) = 75.
‹=›9x = 45
x = 5.
∴ Prem's present age = 3x + 10 = 25 years.
Answer A
|
mnlp_stem_mcqa_eval_31851
|
aqua_rat
|
A sum was put at simple interest at certain rate for 3 years. Had it been put at 1% higher rate it would have fetched Rs. 72 more. The sum is: A. Rs. 2,400 B. Rs. 2,100 C. Rs. 2,200 D.Rs. 2,480
|
[
"2000",
"2100",
"2200",
"2300",
"2400"
] |
E
|
1 percent for 3 years= 72
1 percent for 1 year = 24
=> 100 percent = 2400
ANSWER:E
|
mnlp_stem_mcqa_eval_15565
|
aqua_rat
|
What is the value of x?
Data 1: x - 2y = 7
Data 2: 4x – 28 = 8y
|
[
"89",
"10",
"12",
"15",
"no solution exists"
] |
E
|
both are same equations
4X(x-2y=7) is 4x-8y=28
so no solution exists
ANSWER:E
|
mnlp_stem_mcqa_eval_115414
|
sciq
|
The purpose of any cooling system is to transfer what type of energy in order to keep things cool?
|
[
"thermal",
"radiation",
"atmospheric",
"physical"
] |
A
|
A refrigerator is an example of a cooling system. Another example is an air conditioner. The purpose of any cooling system is to transfer thermal energy in order to keep things cool. A refrigerator, for example, transfers thermal energy from the cool air inside the refrigerator to the warm air in the kitchen. If you’ve ever noticed how warm the back of a running refrigerator gets, then you know that it releases a lot of thermal energy into the room.
|
mnlp_stem_mcqa_eval_24594
|
aqua_rat
|
A trader bought a car at 20% discount on its original price. He sold it at a 60% increase on the price he bought it. What percent of profit did he make on the original price?
|
[
"A)10%",
"B)12%",
"C)14%",
"D)20%",
"E)28%"
] |
E
|
Original price = 100
CP = 80
S = 80*(160/100) = 128
100 - 128 = 28%
E)
|
mnlp_stem_mcqa_eval_18209
|
sciq
|
Some viruses carry a few viral enzyme molecules within their what?
|
[
"capsids",
"hormones",
"plastids",
"DNA"
] |
A
| |
mnlp_stem_mcqa_eval_102449
|
aqua_rat
|
Sum of 3 consecutive even no.'s is 24 more than the 1st no. of the series. Find the middle no.?
|
[
"11",
"12",
"14",
"16",
"18"
] |
A
|
Let the numbers be x, x+2 and x+4 then
x + x+2 + x+4 = x+24
3x + 6 = x + 24
2x = 18
\inline \therefore x = 9
\inline \therefore Middle number = x + 2 = 9+2 = 11
A
|
mnlp_stem_mcqa_eval_66021
|
aqua_rat
|
In the first M games of a team's season, the ratio of the team's wins to its losses was 3:1. In the subsequent N games, the ratio of the team´s wins to losses was 2:3. If M:N = 4:5, what was the ratio of the team's wins to its losses for all M+N games?
|
[
"7:8",
"9:2",
"1:2",
"5:4",
"3:2"
] |
D
|
M = 4/9 of total games
N = 5/9 of total games
Wins = 3/4*4/9 + 2/5*5/9 = 3/9 + 2/9 = 5/9
Losses = 1 - 5/9 = 4/9
The ratio of wins to losses is 5:4.
The answer is D.
|
mnlp_stem_mcqa_eval_68653
|
sciq
|
What part of the eye controls the size of the pupil?
|
[
"iris",
"debis",
"lens",
"avis"
] |
A
|
The iris is the colored part of the eye. It controls the size of the pupil.
|
mnlp_stem_mcqa_eval_43738
|
aqua_rat
|
What is the sum of the digits of integer k, if k = (10^30- 36)
|
[
"251",
"260",
"263",
"269",
"262"
] |
E
|
There are 31 digits in 10^30
When we subtract 36 from it, there will be 30 digits left.
10^30 can be written as 9999999....(30 times) + 1
So,
10^30 - 36 = 9999999....(30 times) + 1 - 36 = 9999999....(30 times) -35
Consider the last 2 digits,
99-35 = 64
The last 2 digits will be 64.
And our number would be 99999......99964 with 2 less 9s after subtraction.
Number of 9s left are 28 and the last two digits are 64
The sum of the digits will be
(28*9) + 6 + 4 =262
Answer:- E
|
mnlp_stem_mcqa_eval_52190
|
aqua_rat
|
A train passes a station platform in 36 seconds and a man standing on the platform in 20 seconds. If the speed of the train is 54 km/hr, what is the length of the platform?
|
[
"248",
"289",
"240",
"242",
"229"
] |
C
|
Speed = [54 * 5/18] m/sec
= 15 m/sec.
Length of the train
= (15 * 20) m = 300 m.
Let the length of the platform be x meters.
Then, x + 300 / 36
= 15
x + 300 = 540
x = 240 m.
Answer: C
|
mnlp_stem_mcqa_eval_101306
|
aqua_rat
|
During a certain two-week period, 60 percent of the movies rented from a video store were comedies, and of the remaining movies rented, there were 3 times as many dramas as action movies. If no other movies were rented during that two-week period and there were A action movies rented, then how many comedies, in terms of A, were rented during that two-week period?
|
[
"5 A",
"6 A",
"8 A",
"14 A",
"20 A"
] |
B
|
Movies: 60 % comedies. 40 % remaining genre.
Now in this 40 %, there are only 2 categories. Action movies and Drama Movies.
If Action = x; Drama movies = 3x. Total 4x.
4x = 40; x = 10
Action movies: 10 %
Drama movies: 30 %
we can say that out of 100z,:
comedies: 60z
action: 10z
drama: 30 z
Now action movies wereA
This means:
A = 10z.
z = (A/10)
Comedies: 60z = 60 * (A/10)
6 A
B is the answer.
|
mnlp_stem_mcqa_eval_7609
|
aqua_rat
|
Pipe A can fill a tank in 20 hrs and pipe B can fill it in 60 hrs. If both the pipes are opened in the empty tank. In how many hours will it be fill quarter of that tank?
|
[
"3 hr 15 mins",
"3 hr 25 mins",
"3 hr 35 mins",
"3 hr 45 mins",
"3 hr 55 mins"
] |
D
|
Part filled A in 1 hr= (1/20)
Part filled B in 1 hr= (1/60)
Part filled by (A+B) together in 1 hr=(1/20)+(1/60)=1/15
So, The tank will be full in 15 hrs
Time taken to fill Exact quarter tank = (15) * (1/4) = 3.45 hr= 3 hr 45 mins
Answer : D
|
mnlp_stem_mcqa_eval_63860
|
aqua_rat
|
Rodrick mixes a martini that has a volume of 'n' ounces having 40% Vermouth and 60% Gin by volume. He wants to change it so that the martini is 80% Vermouth by volume. How many ounces of Gin must he add?
|
[
"n/6",
"n/3",
"3n/5",
"5n/6",
"8n/5"
] |
D
|
4 ounces is vermouth
6 ounces of gin...
Total volume 10.
To make vermouth account for 80% of total volume the new volume must be....
x*0.8=4
x=5 ounces....
So now you see that he must add 5 ounces of gin...
Plug in 6 for n in the answer choices and look for answer 5
D
|
mnlp_stem_mcqa_eval_22212
|
aqua_rat
|
A single letter is selected at random from the word 'PROPER'. The probability that it is a vowel is..??
|
[
"2/11",
"3/11",
"4/11",
"0",
"2/6"
] |
E
|
total vowels = 2, total number of letters = 6
so probability = 2/6
ANSWER:E
|
mnlp_stem_mcqa_eval_5084
|
aqua_rat
|
Three candidates contested an election and received 1136, 7636 and 13000 votes respectively. What percentage of the total votes did the winning candidate get?
|
[
"46%",
"60%",
"74%",
"63%",
"68%"
] |
B
|
B
13000/(1136 + 7636 + 13000) = 60%.
|
mnlp_stem_mcqa_eval_87200
|
mathqa
|
the average weight of 8 person ' s increases by 4.2 kg when a new person comes in place of one of them weighing 65 kg . what is the weight of the new person ?
|
[
"75 kg",
"50 kg",
"85 kg",
"80 kg",
"98.6 kg"
] |
E
|
explanation : total increase in weight = 8 ã — 4.2 = 33.6 if x is the weight of the new person , total increase in weight = x â ˆ ’ 65 = > 33.6 = x - 65 = > x = 33.6 + 65 = 98.6 answer : option e
|
mnlp_stem_mcqa_eval_85044
|
aqua_rat
|
The area of a triangle will be when a = 1m, b = 4m, c = 5m, a, b, c being lengths of respective sides?
|
[
"2",
"7",
"5",
"3",
"4"
] |
C
|
S = (1 + 4 + 5)/2
= 5
Answer: C
|
mnlp_stem_mcqa_eval_37613
|
aqua_rat
|
Marc wants to make a minimum net profit of 20% on a his headphones, which he bought for $500. If originally, he was selling the pair at 25% gain, what is the largest discount he can allow?
|
[
"10%",
"0%",
"5%",
"3%",
"4%"
] |
E
|
E
If he bought the headphones at $500, he is currently selling them at (115/100)*500 = $625.
He wants to make a profit of 20%, which means he needs to sell them at (120/100)*500 = $600
The max discount he can allow is thus ((625-600)/625)*100 = 4%
|
mnlp_stem_mcqa_eval_125319
|
aqua_rat
|
If 36 men can do a piece of work in 25 hours, in how many hours will 10 men do it?
|
[
"22",
"38",
"60",
"88",
"90"
] |
E
|
Explanation:
Let the required no of hours be x. Then
Less men , More hours (Indirect Proportion)
\inline \fn_jvn \therefore 10:36 ::25:x \inline \fn_jvn \Leftrightarrow (10 x X)=(36 x 25) \inline \fn_jvn \Leftrightarrow \inline \fn_jvn x=\frac{36\times 25}{10}=90
Hence, 10 men can do it in 90 hours.
Answer: E) 90
|
mnlp_stem_mcqa_eval_50501
|
aqua_rat
|
A person jogged 10 times along the perimeter of a rectangular field at the rate of 12 kilometers per hour for 30 minutes. If field has a length that is twice its width, find the area of the field in square meters.
|
[
"20,000 square meters.",
"40,000 square meters.",
"60,000 square meters.",
"80,000 square meters.",
"100,000 square meters."
] |
A
|
Let us first find the distance d jogged
distance = rate ? time = (12 km / hr) ? 30 minutes
= (12 km/hr) ? 0.5 hr = 6 km
The distance of 6 km corresponds to 10 perimeters and therefore 1 perimeter is equal to
6 km / 10 = 0.6 km = 0.6 ? 1000 meters = 600 meters
Let L and W be the length and width of the field. The length is twice the width. Hence
L = 2 W
The perimeter is 600 meters and is given by
2 (L + W) = 600
Substitute L by 2 W
2 (2 W + W) = 600
Simplify and solve for W
4 W + 2 W = 600
6 W = 600
W = 100
Find L
L = 2 W = 200
Find the area A of the rectangle
A = L * W = 200 * 100 = 20,000 square meters
correct answer A
|
mnlp_stem_mcqa_eval_72026
|
sciq
|
What do we call a device used to store electric charge?
|
[
"capacitor",
"charger",
"amplifier",
"battery"
] |
A
|
19.5 Capacitors and Dielectrics A capacitor is a device used to store electric charge. Capacitors have applications ranging from filtering static out of radio reception to energy storage in heart defibrillators. Typically, commercial capacitors have two conducting parts close to one another, but not touching, such as those in Figure 19.13. (Most of the time an insulator is used between the two plates to provide separation—see the discussion on dielectrics below. ) When battery terminals are connected to an initially uncharged capacitor, equal amounts of positive and negative charge, +Q and – Q , are separated into its two plates. The capacitor remains neutral overall, but we refer to it as storing a charge.
|
mnlp_stem_mcqa_eval_1308
|
aqua_rat
|
If a: b = 3:4, b:c = 7:9, c:d = 5:7, find a:d?
|
[
"5:12",
"7:12",
"3:11",
"5:11",
"None of these"
] |
A
|
Explanation:
a/d = (3/4)*(7/9)*(5/7) => 5/12
Answer is A
|
mnlp_stem_mcqa_eval_99560
|
sciq
|
The pancreatic hormones insulin and glucagon maintain glucose homeostasis by tightly regulating the synthesis and breakdown of what?
|
[
"glycogen",
"lipids",
"enzyme",
"pathway"
] |
A
| |
mnlp_stem_mcqa_eval_75775
|
aqua_rat
|
If x is an integer, then x(x – 1)(x – k) must be evenly divisible by three when k is any of the following values EXCEPT
|
[
"-4",
"-2",
"-1",
"2",
"5"
] |
B
|
There is probably an easier way, but I just used the picking numbers option for this.
I chose x=2
2(1)(2-k) then just plugged in the answer choices for K until one wasn't evenly divisible by 3.
B gives you 8. 8/3 is not an integer.
B is the answer
|
mnlp_stem_mcqa_eval_70838
|
aqua_rat
|
A Mango costs Rs 25 each and a apple costs Rs. 21 each. If I spend Rs 71 on total what is the number of mango I purchased?
|
[
"4",
"6",
"2",
"10",
"8"
] |
C
|
2 * 25+ 21 = 71
Answer : 2
Option : C
|
mnlp_stem_mcqa_eval_39828
|
aqua_rat
|
The mean daily profit made by a shopkeeper in a month of 30 days was Rs. 350. If the mean profit for the first fifteen days was Rs. 255, then the mean profit for the last 15 days would be
|
[
"Rs. 200",
"Rs. 445",
"Rs. 275",
"Rs. 425",
"None of these"
] |
B
|
Average would be : 350 = (255 + x)/2
On solving, x = 445.
Answer: B
|
mnlp_stem_mcqa_eval_53538
|
aqua_rat
|
A women walking at 5 Kmph reaches her office 8 minutes late. If she walks at 9 Kmph, she reaches there 8 minutes earlier. How far is the office from her house?
|
[
"2 1/5 Km",
"3 Km",
"4 1/3 Km",
"5 Km",
"5 1/3 Km"
] |
B
|
Formula = S1*S2/S2-S1 * T1+T2/60
= 5*9/2 * 16/60
= 45/2 * 16/60
= 3 Km
B)
|
mnlp_stem_mcqa_eval_42749
|
mathqa
|
how many multiples of 4 are there between 1 and 100 , inclusive ?
|
[
"25",
"22",
"23",
"30",
"36"
] |
A
|
25 multiples of 4 between 1 and 100 inclusive . from 4 * 1 upto 4 * 25 , ( 1,2 , 3,4 , . . . , 25 ) . hence , 25 multiples ! correct option is a
|
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