MU-NLPC/Calc-aqua_rat huggingface dataset:
12 men work 8 hours per day to complete the work in 10 days. To complete the same work in 10 days, working 12 hours a day, the number of men required? Select the correct option.
A) 10 days B) 9 days C) 6 days D) 8 days E) 7 days

Solution: That is, 1 work done = 12 × 8 × 10   Then, 12 8 × 10 = ? × 12 × 10   ? (i.e. No. of men required) = 12 × 8 × 10/12× 10 = 8 days   8 days)
Answer: D
If A's height is 30% less than that of B, how much percent B's height is more than that of A?  Choose one:
A) 42.85%
B) 66.68%
C) 66.766%
D) 86.66%
E) 66.65%

Solution: Excess of B's height over 42.85%'s = [(30/(100 - 30)] x 100%   = 42.85%   42.85%nswer: 42.85%)
Answer: A
There are 8 magazines lying on a table; 4 are movie magazines and the other 4 are education magzines. If 3 magazines are to be selected at random from the 8 magazines, what is the probability that at least one of the movie magazine will be selected? Choose the correct choice from the following answers:
A) 9/14
B) 11/14
C) 13/14
D) 1/14
E) 3/14

Solution: 1- (4c3/8c3) = 13/14   Answer : 13/14
Answer: C
A is thrice as efficient as B and is, therefore, able to finish a piece of work 10 days earlier than B. In how many days A and B will finish it together?
Choose one:  A) 87 days  B) 77 days  C) 8 days  D) 5 days  E) 6 days

Solution: WC = 3:1   WT = 1:3   x 3x   1/x – 1/3x = 1/10   x = 20/3   3/20 + 1/20 = 1/5 => 5 days   Answer: 5 days
Answer: D
5n + 2 > 12 and 7n - 12 < 44; n must be between which numbers?  Choose the most appropriate option.
A) 2 and 8  B) 2 and 6  C) 0 and 9  D) 2 and 7  E) 2 and 9

Solution: 5n+2 > 12   5n > 10   n > 2   7n-12 < 44   7n < 56   n < 8   So n must be between 2 and 8   2 < n < 8   correct answer 2 and 8
Answer: A
A cistern is filled by pipe A in 8 hours and the full cistern can be leaked out by an exhaust pipe B in 12 hours. If both the pipes are opened, in what time the cistern is full?
Choose the correct answer:
A) 24hrs
B) 60hrs
C) 70hrs
D) 80hrs
E) 90hrs

Solution: time taken to full the cistern=(1/8-1/12)hrs   =1/24   =24hrs   24hrsNSWER:24hrs
Answer: A
When sold at a 60% discount, a sweater nets the merchant a 20% profit on the wholesale cost at which he initially purchased the item. By what % is the sweater marked up from wholesale at its normal retail price?  Choose the correct choice from the following answers:	A) 20%	B) 40%	C) 66.67%	D) 80%	E) 100%

Solution: we should be careful about what are we measuring % on/what is the base..   let the Marked up price =100..   Selling price= 100-60%of 100=40..   profit= 20%..   therefore the wholesale purchase cost= x.... 1.2x=40   or x=33.33...   marked price was 100 so ...   so answer is 66.67%..   66.67%
Answer: C
A bag contains 2 red, 3 green and 2 blue balls. Two balls are drawn at random. What is the probability that none of the balls drawn is blue?  Choose the most appropriate option
A) 10/21 B) 10/29 C) 10/20 D) 10/22 E) 10/24

Solution: Explanation:   Total number of balls = (2 + 3 + 2)= 
(2 + 3 + 2) = 7
7.   Let S be the sample space.   Then, n(S)= Number of ways of drawing 2 balls out of 7 = = 21   Let E = Event of drawing 2 balls, none of which is blue.   n(E) = Number of ways of drawing 2 balls out of (2 + 3) balls = = 10   Therefore, P(E) = n(E)/n(S) = 10/ 21.   10/21nswer: 10/21) 10/21
Answer: A
Exactly 36% of the numbers in set Q are even multiples of 3. If 40% of the even integers in set Q are not multiples of 3, what percent of the numbers in set Q are not even integers?
Choose the correct choice.
A) 76%  B) 60%  C) 50%  D) 40%  E) 24%

Solution: Everything is correct except the red part with a typo: it should be N=0.6Q --> even numbers are 60% of Q --> 40% of Q are not even integers.   Answer: 40%.
Answer: D
The areas, in kilometers squared, of some countries are given below. USA: 9,629,091, Russia: 17,098,242, China: 9,598,094, Canada: 9,984,670, the UK: 242,400 and India: 3,287,263.
What is the difference between the areas of Russia and China?  Choose the most appropriate option:
A) 8,500,148 kilometers squared  B) 9,500,148 kilometers squared  C) 7,500,148 kilometers squared  D) 4,500,148 kilometers squared  E) 1,500,148 kilometers squared

Solution: the difference between the areas of Russia and 7,500,148 kilometers squaredhina is given by   17,098,242 - 9,598,094 = 7,500,148 kilometers squared   correct answer 7,500,148 kilometers squared
Answer: C
A, B and C invested Rs.6300, Rs.4200 and Rs.10500 respectively, in a partnership business. Find the share of A in profit of Rs.12100 after a year?
Choose the correct choice
A) 3630 B) 8289 C) 356E3 D) 3778 E) 838

Solution: 6300:4200:10500   3:2:5   3/10 * 12100= 
3/10 * 12100 = 3_630
3630   3630nswer3630
Answer: A
Insert the missing number
121, 112, ..., 97, 91, 86  Choices
A) 102	B) 108	C) 99	D) 104	E) 114

Solution: first and second number difference is starting from 9, and further decresed by 1 by each iteration.   121, 112, ..., 97, 91, 86....   Dfference between two numbers Will be as 9, 8, 7, 6, 5,...   ANSWER:104
Answer: D
The distance between two stars is 2.5 × 10^5 light years. What is the distance between the two stars in parsecs? (1 parsec = 3.26 light years)  Choose the correct choice from the following choices
A) 5.5 × 10^3  B) 3.3 × 10^4  C) 7.7 × 10^4  D) 9.9 × 10^5  E) 1.1 × 10^6

Solution: 2.5 × 10^5 ly / (3.26 ly/parsec) = (2.5/3.26) x 10^5 = 0.77 x 10^5 = 7.7 x 10^4 parsec   The answer is 7.7 × 10^4.
Answer: C
A can complete a work in 12days and B can do the same work in 6days. If A after doing 3days, leaves the work, find in how many days B will do the remaining work?  Choose the correct choice from the following.
A) 2 1/2days B) 4 1/2days C) 6 1/2days D) 7 1/2days E) 10 1/2days

Solution: The required answer = (12-3)*6 / 12 = 54/12 = 4 1/2days   Answer is 4 1/2days
Answer: B
Two numbers are respectively 20% and 25% more than a third number. The percentage that is first of the second is?  Choose the correct choice
A) 76%	B) 86%	C) 96%	D) 56%	E) 92%

Solution: I II III   120 125 100   125----------120   100-----------? => 96%   Answer:96%
Answer: C
After decreasing 24% in the price of an article costs Rs.912. Find the actual cost of an article?	Pick:
A) 1288 B) 1238 C) 1200 D) 1233 E) 1234

Solution: 1200P* (76/100) = 912   1200P1200 * (76/100)= 
1200 * (76/100) = 912
912   1200P= 12 * 100= 
12 * 100 = 1_200
> 1200P= 1200   Answer:1200
Answer: C
Paul earns $12000 an year from his job. His income increased and now makes $13500 an year. What is the percent increase?
Pick one:
A) 25%	B) 20%	C) 15.5%	D) 12.5%	E) 10.5%

Solution: Increase = (1500/12000)*100 = (1/8)*100= 
(1/8)*100 = 25/2 = around 12.5
12.5%.   12.5%
Answer: D
A tank is filled in eight hours by three pipes A, B and C. Pipe A is twice as fast as pipe B, and B is twice as fast as C. How much time will pipe B alone take to fill the tank?
Options: A) 56 hours B) 28 hours C) 55 hours D) 66 hours E) 47 hours

Solution: 1/A + 1/B + 1/C = 1/8 (Given)   Also given that A = 2B and B = 2C   => 1/2B + 1/B + 2/B = 1/8   => (1 + 2 + 4)/2B = 1/8   => 2B/7 = 8   => B = 28 hours.   Answer: 28 hours
Answer: B
(9568422 x 558) = ?
Choose the correct option.
A) 5846381256 B) 5339179476 C) 5346381356 D) 5846381406 E) 5346381456

Solution: 9568422 x 558=5339179476Ans 5339179476
Answer: B
A number is missing from the number series below.
Can you find it ?
84, ?, 258, 399 , 584, 819.  Choices:
A) 155
B) 350
C) 399
D) 421
E) 449

Solution: A   The missing number is 155.   84 = 4^3 + 3^2 + 4   258 = 6^3 + 6^2 + 6   399 = 7^3 + 7^2 + 7   584 = 8^3 + 8^2 + 8   819 = 9^3 + 9^2 + 9   Thus,   155 = 5^3 + 5^2 + 5
Answer: A
5 men are equal to as many women as are equal to 8 boys. All of them earn Rs.75 only. Menâ€™s wages are?	Choose the correct choice from the following choices:
A) 6Rs
B) 7Rs
C) 8Rs
D) 5Rs
E) 1Rs

Solution: 5M = xW = 8B   5M + xW + 8B ----- 75 Rs.   5M + 5M + 5M ----- 75 Rs.   15M ------ 75 Rs. => 1M = 5Rs.   Answer:5Rs
Answer: D
If in a certain sequence of consecutive multiples of 100, the median is 750, and the greatest term is 1200, how many terms that are smaller than 650 are there in the sequence?  Choose the correct choice from the following answers.
A) 6  B) 7  C) 8  D) 12  E) 13

Solution: Since the median is 750 we know there must be a even number of integers   So the list around 750 must go. 700 (750) 800 900 1000 1100 ,1200   Since we know there are 5 numbers greater than 750 then there must be 5 numbers less then 750   8
Answer: C
Pipe A fills a tank in 56 minutes. Pipe B can fill the same tank 7 times as fast as pipe A. If both the pipes are kept open when the tank is empty, how many minutes will it take to fill the tank?  Options: A) 4 B) 5 C) 6 D) 7 E) 8

Solution: A's rate is 1/56 and B's rate is 1/8.   The combined rate is 1/56 + 1/8 = 1/7   The pipes will fill the tank in 7 minutes.   The answer is 7.
Answer: D
If x and y are distinct prime numbers less than ten, what must be true about the product of x and y?	Answers:
A) xy is even
B) xy is odd
C) xy < 0
D) xy < 36
E) xy > 6

Solution: Prime numbers less than 10 = 2, 3, 5, 7. x and y can take any oth the values   On checking the options   A. xy is even   xy can be even or odd both   B. xy is odd   xy can be even or odd both   C. xy < 0   Product of two prime numbers can never be < 0   Prime numbers are always positive   D. xy < 36   The maximum value of multiplication can be  5*7= 
 5*7 = 35
35.   Hence this is true always   E. xy > 6   x= 2, y = 3   In this case, xy = 6. FALSE   Correct Option: xy < 36
Answer: D
One side of a rectangle is 3 cm shorter than the other side. If we increase the length of each side by 1 cm, then the area of the rectangle will increase by 24 cm2. Find the lengths of all sides. Choose the correct option:
A) 10 and 3  B) 7 and 10  C) 10 and 7  D) 3 and 10  E) 13 and 10

Solution: Let x be the length of the longer side x>3, then the other side's length is x−3 cm. Then the area is S1 = x(x - 3) cm2. After we increase the lengths of the sides they will become (x+1) and (x−3+1)=(x−2) cm long. Hence the area of the new rectangle will be A2=(x+1)⋅(x−2) cm2, which is 24 cm2 more than the first area. Therefore   A1+24=A2   x(x−3)+24=(x+1)(x−2)   x2−3x+24=x2+x−2x−2   2x=26   x=13. So, the sides of the rectangle are 13 cm and (13−3)=10 cm long.   So answer is 13 and 10.
Answer: E
The angles of a triangle are in the ratio 1:3:8. Find the measurement of the three angles of triangle.
Pick.
A) 90° B) 100° C) 120° D) 140° E) 160°

Solution: If the ratio of the three angles is 1:3:8, then the measures of these angles can be written as x, 3x and 8x. Also the sum of the three interior angles of a triangle is equal to 180°. Hence   x + 3x + 8x = 180   Solve for x   12x = 180   x = 15   The measures of the three angles are   x = 15°   3x = 3 × 15 = 45°   8x = 8 × 15 = 120°   120°
Answer: C
A sun is divided among X, Y and Z in such a way that for each rupee X gets, Y gets 45 paisa and Z gets 30 paisa. If the share of Y is RS. 27, what is the total amount?
Choose the correct choice from the following options
A) 228
B) 105
C) 288
D) 267
E) 168

Solution: x:y:z = 100:45:30   20:9:6   9 --- 27   35 --- ? => 105   Answer:105
Answer: B
Cost of 16 mirror and 8 comb is Rs.360 and the cost of 4 mirror and 4 comb is Rs.96. Find the cost of each mirror?	Choices.
A) 10  B) 12  C) 20  D) 21  E) 22

Solution: Let the cost of each pen and pencil be 'p' and 'q' respectively.   16m + 8c = 360 --- (1)   4m + 4c = 96   8m + 8c = 192 --- (2)   (1) - (2) => 8p = 168   => m = 21   21
Answer: D
A 90-liter solution of cool-drink is made from 5% jasmine water. If 6.5 liters of jasmine and 13.5 liters of water were added to the solution, what percent of the solution is jasmine?	Pick.
A) 8%	B) 8.5%	C) 9%	D) 9.5%	E) 10%

Solution: The percent of jasmine in the resulting solution is: (amount of jasmine) / (total volume)   (0.05(90) + 6.5) / 110 = 11/110 = 10%   The answer is 10%.
Answer: E
In a market, a dozen eggs cost as much as a pound of rice, and a half-liter of kerosene costs as much as 6 eggs. If the cost of each pound of rice is $0.24, then how many cents does a liter of kerosene cost? [One dollar has 100 cents.]
Choose the correct choice.
A) 0.20 B) 0.24 C) 20 D) 24 E) 55

Solution: A dozen eggs cost as much as a pound of rice --> 12 eggs = 1 pound of rice = 24 cents;   A half-liter of kerosene costs as much as 6 eggs --> 6 eggs = 1/2 liters of kerosene.   How many cents does a liter of kerosene cost --> 1 liter of kerosene = 12 eggs = 12/12*24= 
12/12*24 = 24
24 cents.   Answer: 24.
Answer: D
A jogger running at 9 km/hr along side a railway track is 240 m ahead of the engine of a 120 m long train running at 45 km/hr in the same direction. In how much time will the train pass the jogger? Select the correct option:
A) 22	B) 88	C) 36	D) 88	E) 27

Solution: Speed of train relative to jogger = 45 - 9= 
45 - 9 = 36
36 km/hr.= 36 * 5/18= 
36 * 5/18 = 10
10 m/sec.   Distance to be covered= 240 + 120= 
240 + 120 = 360
360 m.   Time taken= 360/10= 
360/10 = 36
36 sec.   Answer: 36
Answer: C
How many months are in 3 years?
Choose the correct answer.
A) 48  B) 12  C) 30  D) 36  E) 30

Solution: D. 36 months
Answer: D
What will be the fraction of 10%  Select.
A) 1/4	B) 1/5	C) 1/10	D) 1/11	E) None of above

Solution: Explanation:   It will 10*1/100 = 1/10   Option 1/10
Answer: C
The number of arrangements that can be made with the letters of the word COPY so that the vowels occupy the even places?
Choose one:
A) 6
B) 144
C) 777
D) 992
E) 221

Solution: The word MEADOWS has 7 letters of which 3 are vowels.   -V-V-V-   As the vowels have to occupy even places, they can be arranged in the 1 even places in 1! i.e., 1 ways. While the consonants can be arranged among themselves in the remaining 3 places in 3! i.e., 6 ways.   Hence the total ways are  1 * 6= 
 1 * 6 = 6
6.   6nswer:6
Answer: A
A bowl has only 6 apples and 6 bananas. If one piece of fruit is selected from the bowl at random, and a second piece is selected from the bowl without replacing the first, what is the probability that both pieces of fruit chosen are apples? Options.
A) 1/10	B) 1/5	C) 2/9	D) 30/131	E) 1/2

Solution: 6/12 * 5/11   =30/131   D. 30/131
Answer: D
If n ≠ 0, which of the following must be greater than n?
I. 4n
II. n^2
III. 2 - n	Choose the correct choice from the following answers:
A) II only B) I only C) I and II only D) II and III only E) None

Solution: n ≠ 0 => n = negative or n = positive   if n = negative:   2n < n (n = -1 then 2n = -2 => -2 < -1)   n^2 > n (n =-1 then n^2 = 1 => n^2 > n)   2 - n > n (n = -1 then 2--1 = 2+1= 
2+1 = 3
3=> 2-n > n)   but if n = positive:   n^2 > n (n = 2 then n^2 = 4 => n^2 > n) => II   2 - n < n(n =2 then 2-2= 
2-2 = 0
0)=> only II   =>answer is II only
Answer: A
A train 250 m long running at 72 kmph crosses a platform in 30 sec. What is the length of the platform?	Choose the correct option.
A) 350m B) 200m C) 250m D) 270m E) 300 m

Solution: D = 72 * 5/18 = 30 = 600 â€“ 250 = 350m   350mNSWER:350m
Answer: A
A train 300 m long passed a pole in 22 sec. How long will it take to pass a platform 725 m long?  Choose the correct choice from the following:
A) 12 sec
B) 59 sec
C) 73 sec
D) 67 sec
E) 76 sec

Solution: Speed = 300/22   = 14 m/sec.   Required time = (300 + 725)/14   = 73 sec.   Answer: 73 sec
Answer: C
From 5 positive numbers and 6 negative numbers, how many groups of 4 numbers, yielding a positive product, can be formed? Choices
A) 170	B) 625	C) 30	D) 960	E) 255

Solution: The number of ways to choose 4 positive numbers is 5C4 = 5.   The number of ways to choose 4 negative numbers is 6C4 = 15.   The number of ways to choose 2 positive and 2 negative numbers is 5C2*6C2 = 10*15= 
10*15 = 150
150.   The total number of groups is 5+15+150= 
5+15+150 = 170
170.   The answer is 170.
Answer: A
A man can row a boat at 14 kmph in still water. If the speed of the stream is 5 kmph, what is the time taken to row a distance of 80 km downstream? Choose the correct answer
A) 85/19
B) 90/18
C) 80/19
D) 70/19
E) 60/19

Solution: Speed downstream = 14 + 5= 
14 + 5 = 19
19 kmph.   Time required to cover 80 km downstream= d/s = 80/19   = 80/19 hours.   Answer: 80/19
Answer: C
Working simultaneously at their respective constant rates, Machines A and B produce 800 nails in x hours. Working alone at its constant rate, Machine A produces 800 nails in q hours. In terms of x and q, how many hours does it take Machine B, working alone at its constant rate, to produce 800 nails?  Choices:  A) x/(x+y)  B) y/(x+y)  C) xy/(x+y)  D) xy/(x-y)  E) xq/(q-x)

Solution: Pick some smart numbers for x and q.   Say x=1 hour and q=2 hours (notice that q must be greater than x, since the time for machine A to do the job, which is q hours, must be more than the time for machines A and B working together to do the same job, which is x hours).   In this case, the time needed for machine B to do the job must also be 2 hours:   1/2+1/2= 
  1/2+1/2 = 1
1.   Now, plug x=1 and q=2 in the options to see which one yields 2. Only option E fits.   Answer: xq/(q-x).
Answer: E
2 men and 3 boys can do a piece of work in 10 days while 3 men and 2 boys can do the same work in 8 days.In how many days can 2 men and 1 boy do the work? Choose the correct choice from the following options:
A) 29/2
B) 21/2
C) 27/2
D) 23/2
E) 25/2

Solution: Let 1 man’s 1 day’s work = x and 1 boy’s 1 day’s work = y.   Then, 2x+3y = 1/10 and 3x+2y = 1/8   Solving,we get: x = 7/200 and y = 1/100   (2 men + 1 boy)’s 1 day’s work = (2 x 7/200 + 1 x 1/100 ) = 16/200 = 2/25   So, 2 men and 1 boy together can finish the work in 25/2 days   Answer is 25/2.
Answer: E
The ratio of the incomes of A and B is 5:4 and the ratio of their expenditure is 3:2. If at the end of the year, each saves $1600 then the income of A is? Choose the correct choice from the following answers
A) $1500 B) $4000 C) $2000 D) $2500 E) $3200

Solution: Let the income of A and $4000 be $5x and $4x   Let their expenditures be $3y and $2y   5x-3y = 1600-------1)   4x-2y = 1600-------2)   From 1) and 2)   x = 800   A's income = 5x = 5*800= 
5*800 = 4_000
$4000   Answer is $4000
Answer: B
A salesman’s terms were changed from a flat commission of 5% on all his sales to a fixed salary of Rs.1000 plus 2.5% commission on all sales exceeding Rs. 4,000. If his remuneration as per new scheme was Rs. 600 more than that by the previous schema, his sales were worth?	Choose the correct choice from the following options.
A) 18997
B) 12000
C) 28992
D) 13009
E) 28811

Solution: [1000 + (X-4000) * (2.5/100)] - X * (5/100)   = 600   X = 12000   Answer: 12000
Answer: B
Mr Shivkumar started a business, investing 25000 in 1996. In 1997 he invested an additional amount of 10000 and Mr Rakesh joined him with an amount of 35000. In 1998, Mr Shivkumar invested another additional amount of 10000 and Mr Suresh joined them with an amount of 35000. What will be Rakesh’s share in the profit of 150000 earned at the end of three years from the start of the business in 1996?  Choose the correct choice from the following answers: A) 70000 B) 50000 C) 45000 D) 75000 E) None of these

Solution: Ratio of their investments = 25,000 × 1 + 35000 × 1 + 45000 × 1 : 35000 × 2 : 35000 × 1 = 3 : 2 : 1.   ∴ Rakesh’s share = 2⁄6 × 150000 = 50000   Answer 50000
Answer: B
There are 250 scraps. For each 11 cutting one extra can be obtained. How much maximum is possible, if one cut by one unit?  Pick one:
A) 271  B) 272  C) 273  D) 274  E) 275

Solution: 242 is divisible by 11.s0,22 extra will come.and another 8 remained.so,242+8+22=272   ANSWER:272
Answer: B
a man have 800kg mango.he found 8% of its mango are rotten.then how much mango is rotten? Select the correct option
A) 64 B) 72 C) 68 D) 65 E) 82

Solution: 8% of 800kg =(800*8)/100.= 
(800*8)/100. = 64
64 mangoes   answer 64
Answer: A
In a graduating class, 40 percent of the students are male. In this class, 50 percent of the male students and 40 percent of the female students are 25 years old or older. If one student in the class is randomly selected, approximately what is the probability that he or she will be less than 25 years old?	Pick one:
A) 0.44
B) 0.5
C) 0.56
D) 0.62
E) 0.68

Solution: Let x be the total number of students.   The number students who are younger than 25 is 0.5*0.4x+0.6*0.6x = 0.56x   The answer is 0.56. 0.5*0.4 +0.6*0.6= 
 0.5*0.4 +0.6*0.6 = 0.56
0.56x   The answer is 0.56.
Answer: C
If 2x=y=6z, what is x-z, in terms of y?
Choose the most appropriate option:
A) y B) 2y C) y/2 D) y/3 E) y/4

Solution: 2x=y=6z   x = y/2   and z = y/6   x-z = y/2 - y/6 = y/3   Answer is y/3
Answer: D
which of the following could be the greatest common factor of positive integers 4 and 6 ? I) 8 II) 4 III) 2	Choose the correct choice from the following.
A) I only  B) II only  C) II,III only  D) I, II only  E) III only

Solution: 4=2*2   6=2*3   GCF =2   Answer : III only
Answer: E
Ajay pays Rs 8.0 per litre of spirit. He adds water and sells the mixture at Rs 9 per litre, thereby making 40 % profit. The proportion of water to spirit received by the customers is Choose the correct choice from the following answers:
A) 45:11
B) 11:45
C) 2:45
D) 45:2
E) None of these

Solution: Suppose the quantity of spirit purchased = X lites   Suppose quantity of water mixed = Y litres   Required ratio of the water and the spirit in the mixture = Y:X   C.P. of x litres of spirit = Rs 8.0X   S.P of x litres of spirit = 9(X + Y)   Thus,C.P = S.P x 100/(100 + gain% )   => 64 = (9X+9Y) x 100/100 + 40   => 1120X =900X +900Y   => 220X= 900Y   => Y/X = 220/900 = 11/45   ANSWER:11:45
Answer: B
Cole drove from home to work at an average speed of 80 kmh. He then returned home at an average speed of 120 kmh. If the round trip took a total of 2 hours, how many minutes did it take Cole to drive to work?
Options
A) 66
B) 70
C) 72
D) 75
E) 78

Solution: First round distance travelled (say) = d   Speed = 80 k/h   Time taken, T2 = d/80 hr   Second round distance traveled = d (same distance)   Speed = 120 k/h   Time taken, T2 = d/120 hr   Total time taken = 2 hrs   Therefore , 2 = d/80 + d/120   LCM of 80 and 120 = 240   2= d/80 + d/120   => 2 = 3d/240 + 2d/240   => d = 240 * 2/ 5 Km   Therefore, T1= d/80   => T1 = (240 *2) / (5 x 80)   => T1 = (6 x 60) / 5 -- in minutes   => T1 = 72 minutes.   72
Answer: C
Cereal A is 10% sugar by weight, whereas healthier but less delicious Cereal B is 2% sugar by weight. To make a delicious and healthy mixture that is 5% sugar, what should be the ratio of Cereal A to Cereal B, by weight? Answers:
A) 2:5 B) 3:5 C) 4:7 D) 2:6 E) 1:4

Solution: 2% is 3%-points below 5% and 10% is 5%-points above 5%.   The ratio of A:B should be 3:5.   The answer is 3:5.
Answer: B
What will be the cost of building a fence around a square plot with area equal to 36 sq ft, if the price per foot of building the fence is Rs. 58?	Select the correct option:
A) 3944  B) 2287  C) 2977  D) 2668  E) 1392

Solution: Let the side of the square plot be a ft.   a2 = 36=> a = 6   Length of the fence = Perimeter of the plot = 4a = 24 ft.   Cost of building the fence = 24 * 58 = Rs. 1392.   Answer:1392
Answer: E
2 dice are tossed. What is the probability that the total score is a prime no. is? Answers.
A) 3/13	B) 5/12	C) 6/13	D) 7/15	E) 8/21

Solution: 5/12   5/12
Answer: B
A and B entered into a partnership investing Rs.25000 and Rs.30000 respectively. After 4 months C also joined the business with an investment of Rs.35000. What is the share of C in an annual profit of Rs.47000?
Choose the correct choice:
A) Rs.18000
B) Rs.15000
C) s.17000
D) Rs.14000
E) Rs.19000

Solution: Explanation:   25*12: 30*12: 35*8   15:18:14   14/47 * 47000= 
14/47 * 47000 = 14_000
14000   Answer: Option Rs.14000
Answer: D
9 men are equal to as many women as are equal to 7 boys. All of them earn Rs.216 only. Men’s wages are?	Options: A) 6 B) 5 C) 2 D) 8 E) 2

Solution: 9M = xW = 7B   9M + xW + 7B ----- 216 Rs.   9M + 9M + 9M ----- 216 Rs.   27M ------ 216 Rs. => 1M = 8Rs. Answer: 8
Answer: D
The average age of 3 girls is 24 years and their ages are in the proportion 1:2:3. The age of the youngest girl is?  Choose the correct answer
A) 10 years
B) 11 years
C) 12 years
D) 13 years
E) 14 years

Solution: Total age of 3 boys = 24*3= 
24*3 = 72
72   ratio of their ages= 1:2:3   Age of the youngest = 72*1/6= 
72*1/6 = 12
12 years   Answer is 12 years
Answer: C