RikoteMaster/aqua-rat-mcqa huggingface dataset:
Question: On rainy mornings, Mo drinks exactly N cups of hot chocolate (assume that N is an integer). On mornings that are not rainy, Mo drinks exactly 6 cups of tea. Last week Mo drank a total of 22 cups of tea and hot chocolate together. If during that week Mo drank 14 more tea cups than hot chocolate cups, then how many rainy days were there last week?
A.0
B.1
C.4
D.5
Answer: C.4
Explanation: T= the number of cups of tea
C= the number of cups of hot chocolate
T+C = 22 T-C=14 -> T= 18. C=2.
Mo drinks 6 cups of tea a day then number of days that are not rainy = 18/6 = 3
So number of rainy days = 7-3 = 4
C is the answer.
Question: Each week, Harry is paid x dollars per hour for the first 15 hours and 1.5x dollars for each additional hour worked that week. Each week, James is paid x dollars per per hour for the first 40 hours and 2x dollars for each additional hour worked that week. Last week James worked a total of 41 hours If Harry and James were paid the same amount last week, how many hours did Harry work last week ?
A.33
B.36
C.37
D.38
Answer: A.33
Explanation: 42x=15x+1.5x(H-15)
==> 42=15+1.5(H-15)
==> H-15 = 27/1.5=18 ==> H = 33
Answer is A
Question: The average runs of a cricket player of 5 innings was 20. How many runs must he make in his next innings so as to increase his average of runs by 3?
A.12
B.42
C.44
D.76
Answer: C.44
Explanation: Explanation:
Average after 6 innings = 23
Required number of runs = (24 * 6) – (20 * 5)
= 144 – 100 = 44
ANSWER C
Question: Raj invested an amount of Rs.17400 for two years. Find the rate of compound interest that will fetch him an amount of Rs.1783.50 at the end of two years?
A.1
B.2
C.6
D.5
Answer: D.5
Explanation: Explanation:
Let the rate of interest be R% p.a.
17400[1 + R/100]2 = 17400 + 1783.50
[1 + R/100]2 = (17400 + 1783.50)/17400
= 1 + 1025/10000 = 1 + 41/400
= 441/400 = [21/20]2
[1 + R/100] = 21/20
R/100 = 1/20
Therefore R = 5
Answer:D
Question: In a certain town, 80 percent of the registered voters are x and the rest are y. In a mayoral race, if 75 percent of the registered voters who are x and 20 percent of the registered voters who are y are expected to vote for Candidate A, what percent of the registered voters are expected to vote for Candidate A ?
A. 64%
B. 53%
C. 54%
D. 55%
Answer: A. 64%
Explanation: Say there are total of 100 registered voters in that city. Thus 60 are Democrats and 40 are Republicans.
80*0.75=60 Democrats are expected to vote for Candidate A;
20*0.20=4 Republicans are expected to vote for Candidate A.
Thus total of 60+4=64 registered voters are expected to vote for Candidate A, which is 64% of the total number of registered voters.
Answer: A.
Question: Zn = 2Zn-1 + 4 and Qn = 4Qn-1 + 8 for all n > 1. If Z5 = Q4 and Z7 = 316, what is the first value of n for which Qn is an integer?
A. 1
B. 2
C. 3
D. 4
Answer: C. 3
Explanation: Assuming I have understood the symbols used correctly answer is C- 3
Z7 = 2S6 +4 = 316
Z6 = 312/2 = 156 = 2Z5 + 4
Z5 = 152/2 = 76 = Q4
Q4 = 4Q3 + 8 = 76
Q3 = 68/4 = 17
Q3 = 4Q2 + 8 = 17
Q2 = 9/4 = 2.25
Q2 = 4Q1 + 8
Q1 will not be integer
Question: If a and b are different positive integers and a + b+2 = a(a + b), then which of the following must be true?
I. a = 1
II. b = 1
III. a < b
A.I only
B.II only
C.III only
D.I and II
Answer: B.II only
Explanation: Number picking might not be the best way to solve MUST BE TRUE questions.
The question asks which of the followingMUSTbe true, or which of the following isALWAYStrue no matter what set of numbers you choose. For such kind of questionsif you can prove that a statement is NOT truefor one particular set of numbers, it will mean that this statement is not always true and hence not a correct answer.
So the set you chose just proves that II is not always true and hence it's not a part of a correct choice. As for I and III: they might be true for this particular set of numbers but not true for another set, so you can not say that I and III are always true just based on one set of numbers (it just happens to be that I and III are always true).
As forCOULD BE TRUEquestions:
The questions asking which of the followingCOULDbe true are different:if you can prove that a statement is truefor one particular set of numbers, it will mean that this statement could be true and hence is a correct answer.
B
Question: An order was placed for the supply of a carper whose length and breadth were in the ratio of 3 : 2. Subsequently, the dimensions of the carpet were altered such that its length and breadth were in the ratio 7 : 3 but were was no change in its parameter. Find the ratio of the areas of the carpets in both the cases.
A.8 : 2
B.8 : 7
C.8 : 3
D.8 : 5
Answer: B.8 : 7
Explanation: Let the length and breadth of the carpet in the first case be 3x units and 2x units respectively.
Let the dimensions of the carpet in the second case be 7y, 3y units respectively.
From the data,.
2(3x + 2x) = 2(7y + 3y)
=> 5x = 10y
=> x = 2y
Required ratio of the areas of the carpet in both the cases
= 3x * 2x : 7y : 3y
= 6x2 : 21y2
= 6 * (2y)2 : 21y2
= 6 * 4y2 : 21y2
= 8 : 7
Answer: Option B
Question: A shopkeeper sold an article offering a discount of 4% and earned a profit of 26%. What would have been the percentage of profit earned if no discount was offered?
A.24
B.28
C.31
D.32
Answer: C.31
Explanation: Let C.P. be Rs. 100.
Then, S.P. = Rs. 126
Let marked price be Rs. x. Then, 96/100 x = 126
x = 12600/96 = Rs. 131.25
Now, S.P. = Rs. 131.25, C.P. = Rs. 100
Profit % = 31%.
ANSWER:C
Question: A car gets 40 kilometers per gallon of gasoline. How many gallons of gasoline would the car need to travel 160 kilometers?
A.8 gallons
B.4 gallons
C.6 gallons
D.5.5 gallons
Answer: B.4 gallons
Explanation: Each 40 kilometers, 1 gallon is needed. We need to know how many 40 kilometers are there in 160 kilometers?
160 / 40 = 4 * 1 gallon = 4 gallons correct answer B
Question: If 240 is divided into four parts proportional to 5, 7, 4, 8 then the smallest part is :
A.16
B.40
C.20
D.18
Answer: B.40
Explanation: Given ratio = 5 : 7 : 4 : 8 , sum of ratio = 24
:. The smallest part = (240 *4/24) = 40
ANSWER:B
Question: If x = 1- 3t and y = 2t - 3, then for what value of t does x = y?
A. 5/2
B. 3/2
C. 2/3
D. 4/5
Answer: D. 4/5
Explanation: We are given x = 1 – 3t and y = 2t – 3, and we need to determine the value for t when x = y. We should notice that both x and y are already in terms of t. Thus, we can substitute 1 – 3t for x and 2t – 3 for y in the equation x = y. This gives us:
1 – 3t = 2t – 3
4 = 5t
4/5 = t
The answer is D.
Question: Each of six different locks has a matching key. The keys are randomly reassigned to the locks. What is the probability that exactly two of the keys fit the locks to which they are reassigned?
A.1/8
B.1/36
C.1/4
D.3/8
Answer: B.1/36
Explanation: I was just going over probability questions.
can some one explain me what's wrong in my approach here.
Probability of choosing one right key out of 6 is 1/6.
Probability of choosing another right key is 1/6.
since the question is asking for 2 right keys , probability is multiplication of both = 1/6 * 1/6 = 1/36.
Ans B
Question: Simplify
16−[5−(6+2(7−8−5¯¯¯¯¯¯¯¯¯¯¯))]
A.23
B.25
C.28
D.30
Answer: B.25
Explanation: Explanation:
=16−[5−(6+2(7−8+5))]
(Please check due to overline, sign has been changed)
=16−[5−(6+2×4))]
=16−[−9]=16+9=25
Option B
Question: A sum of 14,400 amounts to 16,600 in 3 years at the rate of simple interest. What is the rate of interest?
A.2%
B.1%
C.6%
D.5%
Answer: D.5%
Explanation: D
5%
S.I. = (16600 - 14400) = 2200.
Rate = (100 x 2200)/(14400x3)% = 5%
Question: Jake took a bus from home to market, that travels at 10 kmph. While walking back at 2 kmph,
halfway through, he suddenly realized he was getting late and he cycled back the remaining distance in 50 kmph. Find the average speed.
A.1.17 kmph
B.1.67 kmph
C.0.69 kmph
D.1.45 kmph
Answer: B.1.67 kmph
Explanation: Let the distance be 2x(one way)
Time taken by bus = 2x/10, by walking =x/2, by cycling = x/50 hours
:. Average speed = Total Distance/Total time
= 2x / x/5 + x/2 + x/50
= 2 *60 / 12+30+1.2
= 1.67
ANSWER:B
Question: Lexy walks 5 miles from point A to point M in one hour, then bicycles back to point A along the same route at 15 miles per hour. Ben makes the same round trip, but does so at half of Lexy’s average speed. How many minutes does Ben spend on his round trip?
A.40
B.80
C.120
D.160
Answer: D.160
Explanation: Lexy walks 5 miles from point A to point M in one hour, then bicycles back to point A along the same route at 15 miles per hour. Ben makes the same round trip, but does so at half of Lexy’s average speed. How many minutes does Ben spend on his round trip?
Average speed = total distance/total time
We know the total distance is 5+5 (going from A to M then from M to A)
Time = distance/speed
Time = 5/15
Time = 1/3 hour
Average speed = (10)/(1hr + 1/3hr)
Average speed (lexi) = 10 / 1.33
Therefore, if Ben's average speed is 1/2 of lexi's then his speed = 10/2.66.
This means it took him 2.66 hours to cover the same 10 miles Lexi did. 2.66 hours = roughly 160 minutes.
Answer: D). 160
Question: Which of the following MUST yield an integer when divided by 7?
A.The sum of Seven consecutive positive integers.
B.The square of a prime number.
C.The sum of two odd integers.
D.The product of three consecutive odd numbers.
Answer: A.The sum of Seven consecutive positive integers.
Explanation: For option A: Let the numbers be (x-3), (x-2), (x-1), (x), (x+1), (x+2), (x+3).
Now, (x-3)+(x-2)+(x-1) + (x) + (x+1) + (x+2)+(x+3) = 7(x). Hence A is true. No need to check other answers since there can only be one correct answer.
So, Ans(A).
Question: When 2/3 of the garments in the shipment were inspected, 18 of the garments passed inspection and the remaining 2 garments failed. How many of the un inspected garments must pass inspection in order that 80 percent of the garments in the shipment pass?
A.6
B.9
C.8
D.7
Answer: A.6
Explanation: B = 9
2/3x= 20
x=30
for 80% approval we need 24 garments approved.
already approved = 18
we need 6 more.
Answer : A
Question: In order to obtain an income of Rs. 650 from 10% stock at Rs. 96, one must make an investment of
A.5363
B.6240
C.2368
D.1987
Answer: B.6240
Explanation: To obtain Rs. 10, investment
= Rs. 96.
To obtain Rs. 650, investment =
= Rs. 6240.
Answer: B
Question: When four fair dice are rolled simultaneously, in how many outcomes will at least one of the dice show 3?
A.671
B.661
C.673
D.681
Answer: A.671
Explanation: When 4 dice are rolled simultaneously, there will be a total of 6 x 6 x 6 x 6 = 1296 outcomes.
The number of outcomes in which none of the 4 dice show 3 will be 5 x 5 x 5 x 5 = 625 outcomes.
Therefore, the number of outcomes in which at least one die will show 3 = 1296 – 625 = 671
ANSWER:A
Question: George went to a fruit market with certain amount of money. With this money he can buy either 50 oranges or 40 mangoes. He retains 8% of the money for taxi fare and buys 20 mangoes. How many oranges can he buy?
A.21
B.30
C.20
D.16
Answer: A.21
Explanation: Let the amount of money be 200
Let cost of 1 Orange be 4
Let cost of 1 mango be 5
He decides to retain 8% of 200 = 16 for taxi fare, so he is left with 184
He buys 20 mangoes ( @ 5) so he spends 100
Money left is 84 (184 - 100)
No of oranges he can buy = 84/4 =>21
So, George can buy 21 Oranges.
A
Question: Two stations A and B are 110 km apart on a straight line. One train starts from A at 7 a.m. and travels towards B at 20 kmph. Another train starts from B at 8 a.m. and travels towards A at a speed of 25 kmph. At what time will they meet?
A.9 a.m.
B.10 a.m.
C.10.30 a.m.
D.11 a.m.
Answer: B.10 a.m.
Explanation: Explanation:
Suppose they meet x hours after 7 a.m.
Distance covered by A in x hours = 20x km.
Distance covered by B in (x - 1) hours = 25(x - 1) km.
Therefore 20x + 25(x - 1) = 110
=> 45x = 135
=> x = 3.
So, they meet at 10 a.m.
ANSWER IS B
Question: John want to buy a $100 Trouser at the store, but he think itâ€™s too expensive. Finally, it goes on sale for $50. What is the percent decrease?
A.20%
B.30%
C.40%
D.50%
Answer: D.50%
Explanation: The is always the difference between our starting and ending points. In this case, itâ€™s 100 â€“ 50 = 40. The â€œoriginalâ€ is our starting point; in this case, itâ€™s 100. (50/100)*100 = (0.5)*100 = 50%.
D
Question: If x/y =2/5, then (x-y)/x?
A.-1/2
B.-1/3
C.1/3
D.-3/2
Answer: D.-3/2
Explanation: we have this law of fraction:
a/b=c/d= (a-c)/(b-d)
x/y=2/5 ---> x/2=y/5= (x-y)/(2-5)=(x-y)/(-3) ---> (x-y)/x= -3/2
Answer: D
Question: A composer’s guild is planning its spring concert, and nine pieces have been submitted for consideration. The director of the guild knows that they will only have time to present two of them. If the pieces can be played in any order, how many combinations of pieces are possible?
A.40
B.21
C.36
D.54
Answer: C.36
Explanation: Combination question..
9C2 = 36..
IMO option C is correct..
Question: A train running at the speed of 50 km/hr crosses a pole in 9 sec. What is the length of the train?
A.125 m
B.150 m
C.187 m
D.167 m
Answer: A.125 m
Explanation: Speed = 50 * 5/18 = 125/9 m/sec
Length of the train = speed * time = 125/9 * 9
= 125 m
Answer: A
Question: A shopkeeper sold an article for 600 after giving 20% discount on the labelled price and made 20% profit on the cost price. What would have been the percentage profit,had he not given the discount’?
A.25%
B.30%
C.23%
D.50%
Answer: D.50%
Explanation: Cost price =600×100/120= 500
S.P. at no discount = 600×100/80 = 750
∴ % profit = 250×100/500 = 50 %
Answer D
Question: If the range of the set of numbers {140, 80, 135, 110, 175, 145, x, 123, 136} is 105, which of the following could be x?
A.40
B.50
C.60
D.70
Answer: D.70
Explanation: The range of the other 8 numbers is 175-80 = 95, so x must be either the smallest number or the largest number in the set.
Then x = 175-105 = 70 or x = 80+105 = 185
The answer is D.
Question: The cost of 3 pens and 5 pencils is Rs.260. Also the cost of one pen and one pencil is in the ratio of 5:1 respectively. What is the cost of one dozen pens?
A.Rs.200
B.Rs.250
C.Rs.300
D.Rs.780
Answer: D.Rs.780
Explanation: Explanation:
Let the cost of one pen is ‘5x’ and pencil is ‘x’
3 X 5x + 5x = Rs.260
15x + 5x = Rs.260
X = 260/20 = 13
:. Cost of 1 pen = 5x = 5 x 13 = 65
:. Cost of 12 pens, i.e. (one dozen) = 65 x 12 = Rs.780
Answer: Option D
Question: In 10 years, P will be as old as Q is now. Fifteen years ago, Q was twice as old as P was then. How old is P now?
A.17
B.18
C.21
D.25
Answer: D.25
Explanation: Q = P+10
Q-15 = 2(P-15)
P-5 = 2P-30
P = 25
The answer is D.
Question: A man can row downstream at the rate of 16 Km/hr and upstream at 8 Km/hr. Find man's rate in still water and the rate of current?
A.12,4
B.6,3
C.9,3
D.6,6
Answer: A.12,4
Explanation: Explanation:
Rate of still water = 1/2 (16 + 8) = 12 Km/hr
Rate of current = 1/2 (16-8) = 4 Km/hr
Answer: Option A
Question: Harkamal purchased 8kg of grapes at the rate of 70 per kg and 9 kg of mangoes at the rate of 55 per kg. How much amount did he pay to the shopkeeper?
A.1055
B.1065
C.1070
D.1075
Answer: A.1055
Explanation: Cost of 8 kg grapes = 70 × 8 = 560.
Cost of 9 kg of mangoes = 55 × 9 = 490.
Total cost he has to pay = 560 + 490 = 1055
A
Question: A train running at the speed of 60 km/hr crosses a pole in 12 sec. What is the length of the train?
A.200 m
B.178 m
C.186 m
D.168 m
Answer: A.200 m
Explanation: Speed = 60 * 5/18
= 50/3 m/sec
Length of the train
= speed * time
= 50/3 * 12
= 200 m
Answer:A
Question: Pipe A can fill a tank in 60 min . There is a second pipe in the bottom of the cistern to empty it. If all the two pipes are simultaneously opened, then the cistern is full in 180 min. In how much time, the second pipe alone can empty the cistern?
A.60 min
B.45 min
C.90 min
D.70 min
Answer: B.45 min
Explanation: Work done by the third pipe in 1 min = 1/180 - (1/60) = - 1/45.
[-ve sign means emptying]
The third pipe alone can empty the cistern in 45 min.
ANSWER:B
Question: What is the dividend. divisor 15, the quotient is 9 and the remainder is 5?
A.A)140
B.B)134
C.C)148
D.D)158
Answer: A.A)140
Explanation: D = d * Q + R
D = 15 * 9 + 5
D = 135 + 5
D = 140
Answer A
Question: What is the Mode of the following data set M- {5,4,5,5,6,6,5,7,8,9}
A.5
B.4
C.6
D.7
Answer: A.5
Explanation: Mode of a set is the data point that is repeated the most number of times. In the set given,5 is repeated
Answer: A
Question: A train running at the speed of 60 km/hr crosses a pole in 21 sec. What is the length of the train?
A.350 m
B.490 m
C.115 m
D.210 m
Answer: A.350 m
Explanation: Speed = 60 * 5/18 = 50/3 m/sec
Length of the train = speed * time = 50/3 * 21 = 350 m
Answer: A
Question: ABCE is an isosceles trapezoid and ACDE is a rectangle.AB=10 and EC=20.What is the length of AE.
A.5
B.10
C.12
D.15
Answer: B.10
Explanation: As ABCE is an isosceles trapezoid and EC is twice times AB, we can consider the given trapezoid as half of a regular hexagon(as length of diagonal in regular hexagon is always double the side).
Thus, sides AB=AE=BC. => AE = 10.
ANSWER:B
Question: The length of the bridge, which a train 160 metres long and travelling at 45 km/hr can cross in 30 seconds, is?
A.876 m
B.157 m
C.215 m
D.156 m
Answer: C.215 m
Explanation: Speed = [45 X 5/18] m/sec
= [25/2] m/sec Time = 30 sec Let the length of bridge be x metres. Then, (160 + x)/30 = 25/2
=> 2(160 + x) = 750 => x
= 215 m.
Answer: C
Question: What is the dividend. divisor 17, the quotient is 9 and the remainder is 5
A.134
B.136
C.140
D.158
Answer: D.158
Explanation: D = d * Q + R
D = 17 * 9 + 5
D = 153 + 5
D = 158
Question: A company bought for its 7 offices 2 computers of brand N and 3 computers of brand M. In how many ways could computers be distributed among the offices if each office can have only 1 computer.
A.196
B.210
C.256
D.292
Answer: B.210
Explanation: I solved it in a slightly different way. I would love feedback on the logic.
Again, this is a comb problem. So I though of it as follows.
From the seven offices, there will be 5 'winners' (of PCs) and 2'losers'. The number of ways they could be winners and losers is 7!/(5!2!) = 21
For the five winners, the 5 computers can be distributed in 5!/(2!3!) ways = 10.
If you have trouble seeing this, think of anagrams NNMMM (so 5! ways of ordering them but divide by 2! because 2 Ns are similar and 3! because 3 'M's are similar.)
The number of different combinations is then 21*10 = 210 -> B.
Question: In how many ways can the letters in mmmnnnppqq can be arranged with two n's together?
A.15120 ways
B.16120 ways
C.14120 ways
D.13120 ways
Answer: A.15120 ways
Explanation: MMMN(NN)PPQQ so taking two N's together we can get =9!/(3!*2!*2!) arrangements
bow this NN can be arranged in =2!/2!=1 ways
so total arrangements=9!/(3!*2!*2!)=15120 ways
ANSWER:A
Question: The product of two numbers is 168 and the sum of these two numbers is 26. What is the largest of these two numbers?
A.22
B.77
C.88
D.12
Answer: D.12
Explanation: Let the numbers be x and (26 – x).
Therefore, x (26 – x) = 168
x2 – 26x + 168 = 0
(x – 14) (x – 12) = 0
x = 14 or x = 12
So, the numbers are 14 and 12.
ANSWER: D
Question: A rectangular grass field is 70 m * 55 m, it has a path of 2.5 m wide all round it on the outside. Find the area of the path and the cost of constructing it at Rs.2 per sq m?
A.1350
B.1971
C.9676
D.1300
Answer: D.1300
Explanation: Area = (l + b +2d) 2d
= (70 + 55 +2.5 * 2) 2*2.5 => 650
650 * 2 = Rs.1300
Answer:D
Question: A man wears socks of two colours - Black and brown. He has altogether 20 black socks and 20 brown socks in a drawer. Supposing he has to take out the socks in the dark, how many must he take out to be sure that he has a matching pair ?
A.3
B.10
C.20
D.39
Answer: A.3
Explanation: 3 socks must be taken out to be sure that he has a matching pair .
ANSWER:A
Question: For any number Z, Z* is defined as the greatest positive even integer less than or equal to y. What is the value of 6.15 – 6.15*?
A.1.5
B.0.15
C.6.25
D.0.25
Answer: B.0.15
Explanation: Since Z* is defined as the greatest positive even integer less than or equal to Z, then 6.15* =6 (the greatest positive even integer less than or equal to 6.15 is 6).
Hence, 6.15 – 6.15* = 6.15 - 6 = 0.15
Answer: B.
Question: The first doughnut is priced at $1 and then if you purchase additional doughnuts as dozens then the price is $6/dozen. What is the total number of doughnuts purchased if you paid $26?
A.50
B.52
C.54
D.56
Answer: A.50
Explanation: $26 = 4 * $6 + $2
The number of doughnuts is 4*12 + 2 = 50
The answer is A.
Question: A rectangular wall is covered entirely with two kinds of decorative tiles: regular and jumbo. 1/3 of the tiles are jumbo tiles, which have a length three times that of regular tiles and have the same ratio of length to width as the regular tiles. If regular tiles cover 50 square feet of the wall, and no tiles overlap, what is the area of the entire wall?
A.160
B.275
C.360
D.440
Answer: B.275
Explanation: The number of jumbo tiles = x.
The number of regular tiles = 2x.
Assume the ratio of the dimensions of a regular tile is a:a --> area = a^2.
The dimensions of a jumbo tile is 3a:3a --> area = 9a^2.
The area of regular tiles = 2x*a^2 = 50.
The area of jumbo tiles = x*9a^2 = 4.5(2x*a^2 ) = 4.5*50 = 225.
Total area = 50 + 225 = 275.
Answer: B.
Question: The ratio of the present ages of a man and his wife is 4 : 3. Which of the following can't be a possible ratio of their ages 30 years ago?
A.2: 4
B.3: 4
C.4:4
D.5: 4
Answer: D.5: 4
Explanation: 4x-30/3x-30 = 5/4
Therefore x=-30
Age cannot be negative.
Answer: D
Question: A can do a piece of work in 5 hours; B and C together can do it in 4 hours, while A and C together can do it in 3 hours. How long will B alone take to do it?
A.60/7 hours
B.70/6 hours
C.35/2 hours
D.90.8 hours
Answer: A.60/7 hours
Explanation: A's 1 hour's work = 1/5 ;
(B + C)'s 1 hour's work = 1/4 ;
(B + C)'s 1 hour's work = 1/3
(A + B + C)'s 1 hour's work = (1/5 + 1/4) = 9/20
B's 1 hour's work = (9/20 - 1/3) = 7/60
B alone will take 60/7 hours to do the work.
Answer = A
Question: A contractor undertakes to built a walls in 50 days. He employs 70 peoples for the same. However after 25 days he finds that only 40% of the work is complete. How many more man need to be employed to complete the work in time?
A.105
B.30
C.35
D.20
Answer: A.105
Explanation: 70 men complete 0.4 work in 25 days.
Applying the work rule, m1 × d1 × w2 = m2 × d2 × w1
we have,
70 × 25 × 0.6 = m2 × 25 × 0.4
or m2 = 70×25×0.6/25×0.4 = 105 men
AnswerA
Question: 8 x 2.4 - 5 x 1.4/1.5 = ?
A.9.46
B.2.03
C.50.4
D.14.65
Answer: A.9.46
Explanation: Given Expression
= (19.2- 5 X 1.4)/1.5
= 14.2/1.5
= 14.2/1.5
= 9.46
Answer is A
Question: A certain kind of necklace is made from 9 blue, 6 red, and 3 pink beads. What is the maximum number of these necklaces that can be made from 54 beads of each color ?
A.5
B.6
C.7
D.8
Answer: B.6
Explanation: Atleast 9 blue breads are needed to make a necklace, so irrespective of the combinations of red and pink beads, the number of necklaces that can be formed will be
54/9 =6
Answer:- B
Question: A bag contains 3 red, 5 yellow and 4 green balls. 3 balls are drawn randomly. What is the probability that balls drawn contain exactly two green balls?
A.9/16
B.7/18
C.12/55
D.14/67
Answer: C.12/55
Explanation: Total number of balls = 3+5+4 = 12
n(S) = 12C3 = 12*11*10 / 3*2 = 220
n(E) = 4C2* 8C1 = 6*8 = 48
Probability = 48/220 = 12/55
Answer is C
Question: George can do a piece of work in 8 hours. Paul can do the same work in 10 hours, Hari can do the same work in 12 hours. George, paul and hari start the same work at 9 am, while george stops at 11 am, the remaining two complete the work. What time will the work complete?
A.12:00 Pm
B.1:00 Pm
C.2:00 Pm
D.3:00 Pm
Answer: B.1:00 Pm
Explanation: ((1/8)+(1/10)+(1/12))2+((1/10)+(1/12))(x-2)=1
x=4 hrs
work started at 9 am..
takes 4 hrs to complete 9am + 4hrs =1:00 Pm
ANSWER:B
Question: A 270 metres long train running at the speed of 120 kmph crosses another train running in opposite direction at the speed of 80 kmph in 9 seconds. What is the length of the other train?
A.230 m
B.240 m
C.260 m
D.320 m
Answer: A.230 m
Explanation: Relative speed = (120 + 80) km/hr
=	(200 x(5/18))m/sec
=	(500/9)m/sec.
Let the length of the other train be x metres.
Then,	(x + 270)/9 = 500/9
x + 270 = 500
x = 230.
A