MU-NLPC/Calc-aqua_rat huggingface dataset:
A certain country had a total annual expenditure of $7.2 x 10^11 last year. If the population of the country was 240 million last year, what was the per capita expenditure?
Choose the correct choice from the following answers
A) $ 500	B) $1,000	C) $2,000	D) $3,000	E) $5,000

Solution: Total expenditure / Population = per capita expenditure   Hence, (7,2 x 10^11) / 240 000 000 = (7,2 x 10^11) / (2,4 x 10^8) = 3 x 10^(11-8) =   3 x 10^3 = 3000.   Answer is $3,000.
Answer: D
Two employees M and N are paid a total of $583 per week by their employer. If M is paid 120 percent of the salary paid to N, how much is N paid per week?  Choose the correct choice from the following answers.
A) $245 B) $255 C) $265 D) $275 E) $285

Solution: 1.2N + N = 583   2.2N = 583   N = 265   The answer is $265.
Answer: C
Product of two co-prime numbers is 117. Their L.C.M should be:  Choose the correct choice from the following options.
A) 1 B) 117 C) 116 D) equal to their H.C.F E) Cannot be calculated

Solution: H.C.F of co-prime numbers is 1.   So, L.C.M = 117/1= 
117/1 = 117
117.   ANSWER:117
Answer: B
Brand A coffee costs twice as much as brand B coffee. If a certain blend is 1/2 brand A and 1/2 brand B. what fraction of the cost of the blend is Brand A?
Choose the correct choice from the following answers.
A) a. 1/3 B) b. 2/5 C) 3. 1/2 D) 4. 2/3 E) 5. 3/4

Solution: Assume Cost of A= Ca = 200 , Cost of B = Cb=100   The blend contains 0.5 A and 0.55 B ---> Cost of the blend = Cbl = 0.5*200+0.5*100= 
0.5*200+0.5*100 = 150
150   Thus fraction of A in the blend= 0.5*200/150 = 2/3.   Answer : 4. 2/3
Answer: D
A motorboat, whose speed in 15 km/hr in still water goes 30 km downstream and comes back in a total of 4 hours 30 minutes. The speed of the stream (in km/hr) is:
Choose the most appropriate option.
A) 5
B) 6
C) 7
D) 8
E) 9

Solution: Let the speed of the stream be x km/hr. Then,   Speed downstream = (15 + x) km/hr,   Speed upstream = (15 - x) km/hr.   =5   5nswer:5
Answer: A
Set A = {1, 2, 3, 4, 5, 6, d}
Which of the following possible values for d would cause Set A to have the smallest standard deviation?
Pick one: A) 1 B) 2.5 C) 3 D) 3.5 E) 7

Solution: I agree. The mean of the set d=1,2,3,4,5,6 is 3.5 . Now if we add one extra number to the set, in order for the standard deviation to be minimum, that number must be as close as possible to the original set (1,2,3,4,5,6). Therefore we have to choose the number closest to 3,5 from the options we have, leaving D as the best choice.   Answer 3.5.
Answer: D
A take twice as much time as B or thrice as much time to finish a piece of work. Working together, they can finish the work in 3 days. B can do the work alone in? Choose the correct choice from the following
A) 18	B) 12	C) 11	D) 19	E) 114

Solution: Suppose A, B and C take x, x/2 and x/3 respectively to finish the work.   Then, (1/x + 2/x + 3/x) = 1/3   6/x = 1/3 => x = 18   So, B takes 9 hours to finish the work.   18nswer: 18
Answer: A
Three friends Alice, Bond and Charlie divide $1105 amongs them in such a way that if $10, $20 and $15 are removed from the sums that Alice, Bond and Charlie received respectively, then the share of the sums that they got will be in the ratio of 11 : 18 : 24. How much did Charlie receive?
Select
A) $495
B) $510
C) $480
D) $375
E) $360

Solution: Explanatory Answer   Let the sums of money received by A, B and C be x, y and z respectively.   Then x - 10 : y - 20 : z -15 is 11a : 18a : 24a   When $10, $20 and $15 are removed, we are removing a total of $45 from $1105.   Therefore, 11a + 18a + 24a = 1105 - 45= 
1105 - 45 = 1_060
1060   i.e., 53a= 1060   or a = 20.   We know that z - 15 = 24a = 24 * 20= 
24 * 20 = 480
480   Therefore, z= 480 + 15= 
480 + 15 = 495
$495   correct choice is ($495)
Answer: A
A man is 30 years older than his son. In two years, his age will be twice the age of his son. The present age of this son is	Choose one:  A) 28 years  B) 22 years  C) 23 years  D) 24 years  E) 26 years

Solution: Explanation:   Let's Son age is x, then Father age is x+30.   => 2(x+2) = (x+30+2)   => 2x+4 = x+32   => x = 28 years   Option 28 years
Answer: A
The average weight of A, B and C is 42 kg. If the average weight of A and B be 40 kg and that of B and C be 43 kg, then the weight of B is:	Choose the correct choice from the following
A) 33 kg
B) 31 kg
C) 32 kg
D) 40 kg
E) 37 kg

Solution: Let A, B, C represent their respective weights.   Then, we have: A + B + C = (42 x 3) = 126 .... (i)   A + B = (40 x 2) = 80 .... (ii)   B + C = (43 x 2) = 86 ....(iii)   Adding (ii) and (iii), we get: A + 2B + C = 166 .... (iv)   Subtracting (i) from (iv), we get : B = 40.   B's weight = 40 kg.   40 kg
Answer: D
A and B can do a piece of work in 8 days. With the help of C they finish the work in 5 days. C alone can do that piece of work in?
Pick:
A) 13 1/3 B) 878 C) 30 D) 88 E) 11

Solution: C = 1/5 â€“ 1/8 = 3/40 => 40/3 = 13 1/3 days   13 1/3nswer: 13 1/3
Answer: A
The difference between the squares of two consecutive odd integers
is a square<1000 whose root equals the combined sum of the digits
of the two integers. What is the sum of the digits Q of the larger integer?
Choose the correct option.
A) Q=2 B) Q=5 C) Q=8 D) Q=10 E) 11

Solution: Really hard. But let's start with few concepts:   1. Square of an odd integer will be odd.   2. Difference of odd and odd will be even.   3. Any odd integer can be expressed as difference of two squares.   4. An even integer can be expressed as difference of two squares only if that even integer is a multiple of 4.   Assume two odd integers to be (2x-1) and (2x+1).   Difference of their squares = (2x+1)^2 - (2x-1)^2   = 4x^2 + 1 + 4x - (4x^2 + 1 - 4x)   = 4x^2 + 1 + 4x - 4x^2 - 1 + 4x   = 8x   Now root of 8x needs to be an integer such that it is equal to the sum of the digits of the two odd integers.   8 = 2^3, so x needs to be such that itcompletesa perfect square.   If we find x, we can find the value of 2x+1 (larger integer) and then sum of its digits.   Let's check the options, starting with c.   For sum to be 8, few possibilities are: 17, 35, 53, 71   If we take 17, the pair is 15 and 17, meaning x = 8.   8x = 64   root of 64 = 4 but 4 is not equal to 1+5+1+7.   Reject.   If we take 35, the pair is 33 and 35, meaning x = 17.   8x = 8*17   Reject since perfect square is not possible.   If we take 53, the pair is 51 and 53, meaning x = 26.   8x = 8*26   Reject since perfect square is not possible.   If we take 71, the pair is 69 and 71, meaning x = 35.   8x = 8*35   Reject since perfect square is not possible.   I tried each option and the possibilities and then got lost.   Then, it occurred to me that I was only checking 2-digit integers. What about 3-digits?   Starting with option a, only 2-digit odd integer whose sum is 2 is 101.   If we take 101, the pair is 99 and 101, meaning x = 50.   8x = 8*50= 
8*50 = 400
400   root of 400= 20 which is indeed equal to 9+9+1+1.   Q=2nswer (Q=2).
Answer: A
Each customer of a networking company subscribes to one of two plans: Plan A or Plan B. Plan A costs $25 per month and Plan B costs $75 per month per customer. If the company’s average revenue per customer per month is $100, then what percent of the company's revenue comes from customers with Plan A? Select the correct option.
A) 25%
B) 30%
C) 37.5%
D) 56.25%
E) 50%

Solution: If there are A customers with plan A, and B customers with plan B, then the total revenue is $25A + $75B.   Since the average customer pays $100, we know that   $100 = ($25A + $75B) / (A + B)   $100(A + B) = ($25A + $75B)   $100A + $100B = $25A + $75B   $75A = -$25B   A = 3B.   Since there are 3 times as many $75 clients as $75 clients, for every $75 received from Plan B customers, 3($25) = $75 is received from Plan A customers, and the percent of revenue from customers with Plan A is:   $75/($75 + $75) = $75/$150 = 50%.   The correct answer is choice (50%).
Answer: E
A batch of cookies was divided among three tins: 2/3 of all the cookies were placed in either the blue tin or the green tin, and the rest were placed in the red tin. If 1/4 of all the cookies were placed in the blue tin, what fraction Q of the cookies that were placed in the other tins were placed in the green tin?
Choose one.
A) 15/2
B) 9/4
C) 5/9
D) 7/5
E) 9/7

Solution: Blue tin or red tin: 2/3 (N)   Red tin: (1/3)N   Blue tin: (1/4)N   What the last statment meant, is it wants this fraction: (# of cookies in green tin)/(# of cookies in red and green tin)   # of cookies in green tin = 2N/3 - N/4 = 8N- 3N/12 = 5N/12   # of cookies in red and green tin = N/3 + 5N/12 = 9N/12   Fraction Q= 5N/12 * 12/9N = 5/9 (5/9)
Answer: C
If M and N are positive integers that have remainders of 1 and 3, respectively, when divided by 5, which of the following could NOT be a possible value of M+N?  Choose the correct choice from the following answers.
A) 84  B) 52  C) 34  D) 29  E) 14

Solution: M=5p+1   N=5q+3   We need M+N=5p+1+5q+3=5(p+q)+4   Pick numbers for pq   Since it is an addition of pq and the answer to this expression should be an integer (because all the numbers being added are integers),   we just need to choose values so that we get integer multiples of 5 so   p+q=0 ; M+n = 4   p+q=1 ; M+N = 9   P+q=2 ; M+N = 14   and so on, so basically you get something like - 4,9,14,19,24,29,34,..... all the other options were turning up.   Then I directly tried p+q=10 because it was closer to 52 for the first option, i got 54, .   So Answer 52.
Answer: B
A water tank is three-fifths full. Pipe A can fill a tank in 10 minutes and pipe B can empty it in 6 minutes. If both the pipes are open, how long will it take to empty or fill the tank completely?
Choose the correct choice from the following options
A) 6 min  B) 8 min  C) 7 min  D) 9 min  E) 1 min

Solution: The combined rate of filling/emptying the tank = 1/10 - 1/6 = -1/15   Since the rate is negative, the tank will be emptied.   A full tank would take 15 minutes to empty.   Since the tank is only three-fifths full, the time is  (3/5) * 15= 
 (3/5) * 15 = 9
9 minutes   The answer is 9 min.
Answer: D
The length of a rectangular landscape is 4times its breadth. There is a playground in it whose area is 1200 square mtr & which is 1/3rd of the total landscape. What is the length of the landscape?	Choose one:
A) 90 B) 100 C) 120 D) 130 E) 140

Solution: Sol. x * 4x = 3 * 1200   x = 30   Length = 4 * 30= 
4 * 30 = 120
120   120
Answer: C
If n and y are positive integers and 450y = n^3, which of the following must be an integer? Options:
A) y/(3*2^2*5) B) y/(3^2*2*5) C) y/(3*2*5^2) D) y/(5^3*2^2) E) y/(5*3*2)

Solution: Solution:   As y and n are both integers so y is of the form of 3*5*2*2*K   where K= an integer.   to make n as an integer and 450y to be a cube of a number.   Now checking with the answers we get only 1 as K.   So the answer is (1).
Answer: A
If x and y are prime numbers such that x > y > 2, then x^2 − y^2 must be divisible by which one of the following numbers?  Choose one:	A) 3	B) 4	C) 5	D) 9	E) 12

Solution: If x=5 and y=3, then x^2-y^2=16 and 16 is divisible only by 4 from the options, thus it must be correct.   Answer: 4.
Answer: B
How many positive integers between 1 and 300 are there such that they are multiples of 9? Choose the correct choice from the following:
A) 31
B) 33
C) 35
D) 36
E) 23

Solution: Multiples of 9 = 9,18,27,-----297   Number of multiples of 15 => 9*33= 
9*33 = 297
297   Answer is 33
Answer: B
A can work three times as fast as B. Together they can finish a job in 18 days. In how many days can A complete the job alone?
Select.
A) 20  B) 24  C) 28  D) 32  E) 36

Solution: B's rate is x and A's rate is 3x.   x + 3x = 1/18   x = 1/72   A's rate is 3x = 1/24   A can complete the job in 24 days.   The answer is 24.
Answer: B
A shopkeeper sells his goods at cost price but uses a faulty meter that weighs 850 grams. Find the profit percent.
Answers:  A) 300/17%  B) 100/23%  C) 100/19%  D) 100/13%  E) None of these

Solution: Explanation:   (100 + g) / (100 + x) = True measure / Faulty measure   x = 0   true measure = 1000   faulty measure = 850   100 + g / 100 + 0 = 1000 / 850   100+g = 20/17*100   g = 300/17 %   300/17%NSWER: 300/17%
Answer: A
Three workers have a productivity ratio of 2 to 3 to 4. All three workers are working on a job for 4 hours. At the beginning of the 5th hour, the slowest worker takes a break. The slowest worker comes back to work at the beginning of the 9th hour and begins working again. The job is done in ten hours. What was the ratio of the work performed by the fastest worker as compared to the slowest?	Answers:
A) 12 to 1
B) 6 to 1
C) 5 to 1
D) 1 to 6
E) 10 to 3

Solution: The fastest worker who does 4 units of job worked for all 10 hours, so he did   4*10= 
  4*10 = 40
40 units of job;   The slowest worker who does 2 unit of job worked for only   4+2= 
  4+2 = 6
6 hours (first 4 hours and last 2 hours), so he did   2*6= 
  2*6 = 12
12 units of job;   The ratio thus is 40 to 12, or 10 to 3.   Answer: 10 to 3
Answer: E
John makes $60 a week from his job. He earns a raise andnow makes $80 a week. What is the % increase?	Choose the correct choice from the following:
A) 15%
B) 33.33%
C) 17.8%
D) 19%
E) 21%

Solution: Increase = (20/60)*100 = (1/3)*100 = 33.33%.   33.33%
Answer: B
pipes P and Q would fill a cistern 18 and 24 minutes respectively. Both pipes being opened, find when the first pipe must be turned off so that the cistern may be just filled in 12 minutes?
Answers:
A) 2
B) 9
C) 8
D) 7
E) 1

Solution: x/18 + 12/24 = 1   x = 9.Answer: 9
Answer: B
What is log3(4) log4(5)...log80(81)?  Pick one:  A) 1  B) 4  C) 81  D) log80 243  E) e81

Solution: Recall the change of base formula   logb(a) =   ln(a)   ln(b)   :   (Alternatively, we can substitute logc for ln on the right, as long as the base is the same on   the top and on the bottom.) Using this, we can rewrite the entire expression using natural   logarithms, as   ln(4)   ln(3)   ln(5)   ln(4)   ln(81)   ln(80)   =   ln(81)   ln(3)   = log3(81) = log3(34) = 4:   correct answer 4
Answer: B
How many integers between 6000 and 7000 that have distinct digits and increase from left to right ?  Choose the correct answer:
A) 10	B) 20	C) 60	D) 80	E) 600

Solution: Since the numbers must be distinct and increasing from left to right,   The only arrangements we could come-up with are:   645_ --> 4   646_ --> 3   647_ --> 2   648_ --> 1   656_ --> 3   657_ --> 2   658_ --> 1   667_ --> 2   668_ --> 1   678_ --> 1   Number of integers =20   20
Answer: B
Calculate the different number of ways 3 girls and 2 boys can sit on a bench? Choose the correct choice from the following answers:
A) 180
B) 150
C) 120
D) 122
E) 130

Solution: npn = n!   5p5 = 5 × 4 × 3 × 2 × 1 = 120   120
Answer: C
A seven-digit phone number is divisible by 3. After adding the two digits of the area code the number is not divisible by 3, which of the following cannot be the area code?	Choose one:
A) 07  B) 06  C) 05  D) 04  E) 02

Solution: Given that 7 digit number is divisible by 3   we know any number will not be divisible by 3 if the sum of all digits of the number is not the multiple of 3.   Hence looking at the option we can say that the number that should be added to the seven digit number must be 06 as adding it will make it divisible by 3... hence answer is 06
Answer: B
A reduction of 40% in the price of bananas would enable a man to obtain 67 more for Rs.40, what is reduced price per dozen?  Options:
A) 1.86
B) 2.86
C) 4.86
D) 3.86
E) 5.86

Solution: 40*(40/100)= 
40*(40/100) = 16
16 --- 67   ? --- 12=> Rs.2.86   Answer: 2.86
Answer: B
If M is the mean of x,y,z ; then what is the mean of z,y and x	Choose the correct choice from the following answers:	A) 2M	B) 3M	C) 10M	D) M	E) M-10

Solution: order only changed   So new mean is M .   Answer (M)
Answer: D
Five years ago, the average age of A and B was 15 years. Average age of A, B and C today is 20 years. How old will C be after 15 years? Choose the correct option.
A) 30	B) 35	C) 40	D) 50	E) 60

Solution: Explanation :   (A + B), five years ago = (15 * 2)= 
(15 * 2) = 30
30 years.   (A+B), now= (30+5*2)= 
(30+5*2) = 40
40 years.   (A + B + C), now= (20 x 3) years =60 years.   C, now = (60 - 40)= 
(60 - 40) = 20
20 years.   C, after 15 years= (20 + 15)= 
(20 + 15) = 35
35 years.   Answer : 35
Answer: B
A guy was asked to specify his age in years. He said, “Take my age 5 years hence, multiply it by five and subtract five times of my age 5 years ago and you will know my age.” What was the age of that guy?	Pick:
A) 18  B) 15  C) 33  D) 39  E) 50

Solution: Current age of the guy = A years.   Then, 5 (A + 5) – 5 (A – 5) = A   (5A + 25) – (5A – 25) = A   A = 50   50
Answer: E
If 3/a + 4/a + 5/a is an integer, which of the following must also be an integer?  Choose the correct option.
A) 12/a  B) 3/a  C) 6/a  D) 9/a  E) 15/a

Solution: 3/a + 4/a + 5/a   =12/a   12/answer 12/a
Answer: A
The largest natural number by which the product of three consecutive even natural numbers is always divisible, is	Choose the most appropriate option
A) 16
B) 24
C) 48
D) 96
E) 78

Solution: Solution   Required number	= (2×4×6)   = 48.   Answer 48
Answer: C
X can finish a work in 18 days. Y can finish the same work in 15 days. Yworked for 10 days and left the job. how many days does X alone need to finish the remaining work? Pick.
A) 5	B) 4	C) 6	D) 7	E) 8

Solution: Work done by X in 1 day = 1/18   Work done by Y in 1 day = 1/15   Work done by Y in 10 days = 10/15 = 2/3   Remaining work = 1 – 2/3 = 1/3   Number of days in which X can finish the remaining work = (1/3) / (1/18)= 
(1/3) / (1/18) = 6
6   6
Answer: C
An alchemist discovered that the formula expressing the correct proportions needed to turn ordinary metal into gold is G = 1/2M + 15, where G is the number of gold bars and M is the number of metal bars. If a metal bar weighs twice as much as a gold bar, how many metal bars will yield an equal weight of gold?  Select the correct option:
A) a.	A - 10	B) b.	B - 15	C) c.	C – 22.5	D) d.	D – 30	E) e.	E – 67.5

Solution: A --- 10/2 + 15 = 20 --- CORRECT   B --- 15/2 + 15 = not an integer --- wrong   C --- 22.5(1/2) + 15 = not an integer --- wrong   D --- 30/2+15 =30 --- wrong   This is one of those problems that will probably be easiest to solve by plugging in numbers. The algebra is do-able, but it's not worth the effort (in my opinion). I was able to solve it in under 30 seconds total with this method.   a.	A - 10
Answer: A
On Sunday, Bill ran 4 more miles than he ran on Saturday. Julia did not run on Saturday, but she ran twice the number of miles on Sunday that Bill ran on Sunday. If Bill and Julia ran a total of 16 miles on Saturday and Sunday, how many miles did Bill run on Sunday? Choose the most appropriate option.
A) 5  B) 6  C) 7  D) 8  E) 9

Solution: Let Bill run x on saturday, so he will run x+4 on sunday..   Julia will run 2*(x+4) on sunday..   totai= x+x+4+2x+8=16..   4x+12=16..   x=1..   ans =x+4=1+4= 
1+4 = 5
5   5nswer 5
Answer: A
In assembling a Bluetooth device, a factory uses one of two kinds of modules. One module costs $10 and the other one, that is cheaper, costs $3.5. The factory holds a $45 worth stock of 11 modules. How many of the modules in the stock are of the cheaper kind?
Choose the correct answer:
A) 30 B) 28 C) 25 D) 20 E) 10

Solution: So the number of $3.50 modules must be 10 so that the leftover 1 modules are of $10 which will give a total value $45. 10*3.50+1*10 = 35+10= 
35+10 = 45
45   Answer : 10
Answer: E
A dishonest dealer professes to sell goods at the cost price but uses a weight of 850 grams per kg, what is his percent? Pick one:
A) 25%
B) 17%
C) 29%
D) 55%
E) 45%

Solution: 850 --- 150   100 --- ? => 17.64%   Answer: 17%
Answer: B
In how many ways the letters of the word TIME be arranged?  Choose the correct choice from the following answers.
A) 25  B) 4  C) 24  D) 89  E) 120

Solution: Total ways of arranging the letters = 4! = 24 ways.   24)
Answer: C
Sue's trail mix is 30% nuts and 70% dried fruit. Jane's trail mix is 60% nuts and 40% chocolate chips. If the combined mixture of Sue and Jane's trails mix contains 48% nuts, what percent of the combined mixture is dried fruit? Choose the most appropriate option:
A) 20%  B) 24%  C) 28%  D) 32%  E) 36%

Solution: 48% is 18%-points above 30% and 12%-points below 60%.   So the ratio of Sue's mix to Jane's mix is 2:3.   2/5*70= 
2/5*70 = 28
28%   The answer is 28%.
Answer: C
Resident of town X participated in a survey to determine the number of hours per week each resident spent watching television. The distribution of the results of the survey had a mean of 21 hours and std deviation of 2 hrs. The number of hours that pat, a resident of town X, watched television last week was between 1 and 2 standard deviation below the mean. Which of the following could be the number of hours that Pat watched television last week?
Choose the correct choice
A) 30	B) 20	C) 18	D) 22	E) 6

Solution: 21-12 < no of hrs < 21-2   9< no of hrs < 19.   18
Answer: C
If 3 tic equals 6 tacs and 2 tacs equal 7 tocs, what is the ratio of one tic to one toc? Pick:
A) 7/1
B) 6/5
C) 5/6
D) 3/10
E) 1/15

Solution: 3Tic=6*Tac and 2*Tac=7*Toc;   6*Tic=12*Tac and 12*Tac=42*Toc --> 6*Tic=42*Toc --> Tic/Toc=42/6= 
42/6 = 7
7/1.   7/1nswer: 7/1.
Answer: A
The total marks obtained by a student in Mathematics and Physics is 80 and his score in Chemistry is 20 marks more than that in Physics. Find the average marks scored in Mathamatics and Chemistry together.
Choose one:
A) 40 B) 30 C) 25 D) 50 E) None of these.

Solution: Let the marks obtained by the student in Mathematics, Physics and Chemistry be M, P and C respectively.   Given , M + C = 80 and C - P = 20 M + C / 2 = [(M + P) + (C - P)] / 2 = (80 + 20) / 2= 
(80 + 20) / 2 = 50
50.   ANSWER:50
Answer: D
A woman can do a piece of work in 40 days. Man is 25% more efficient than Woman. In how many days a man can do the same piece of work? Choose the correct choice from the following options
A) 32 days	B) 36 days	C) 38 days	D) 40 days	E) 53 days

Solution: The ratio of the efficiencies of a woman and man = 100 : 125   = 4 : 5   The ratio of the days taken by woman and man to finish the work = 5 :4   Woman takes 32 days to finish the work.=> 5 parts = 40   The number of days taken by man to finish the work = 4 parts = 40/5x 4 = 32 days   32 days
Answer: A
The sum of the ages of 5 children born at the intervals of 3 years each is 50 years. What is the age of the youngest child?
Choices:
A) 4 years
B) 8 years
C) 10 years
D) 12 years
E) None of these

Solution: Let the ages of the children be x, (x + 3), (x + 6), (x + 9) and (x +12) years.   Then, x + (x + 3) + (x + 6) + (x + 9) + (x + 12) = 50   5x = 20 => x = 4.   Age of youngest child = x = 4 years.   4 yearsNSWER:4 years
Answer: A
How long will a boy take to run round a square field of side 60 meters, if he runs at the rate of 9km/hr?
Choose the correct choice from the following answers
A) 96sec B) 45sec C) 1min D) 32sec E) 25sec

Solution: Speed = 9 km/hr = 9*5/18 = 5/2 m/sec   Distance = 60*4= 
60*4 = 240
240m   Time taken= 240*2/5= 
240*2/5 = 96
96sec   96secnswer is 96sec
Answer: A
Peter invested an amount of Rs. 12,000 at the rate of 10% p.a simple interest and another amount at the rate of 20% p.a. simple interest. The total interest earned at the end of one year on the total amount invested became 14% p.a. Find the total amount invested? Pick one
A) 20,000
B) 20,007
C) 20,005
D) 20,002
E) 20,001

Solution: Let the second amount be Rs. x. Then,   (12000 * 10 * 1)/100 + (x * 20 * 1)/100 = [(12000 + x) * 14 * 1] / 100   120000 + 20x = 16800 + 14x   x = 8000   Total investment = 12000 + 8000 = Rs. 20,000.20,000nswer: 20,000
Answer: A
How many cubes of 10 cm edge can be put in a cubical box of 1 m edge.  Select
A) 10000 cubes  B) 1000 cubes  C) 100 cubes  D) 50 cubes  E) None of these

Solution: Explanation:   Number of cubes =100∗100∗100 /10∗10∗10=1000   Note: 1 m = 100 cm   Option 1000 cubes
Answer: B
15.03 Ã— 0.01 = ?
Select the correct option.
A) 0.1503	B) 0.001503	C) 1.503	D) 0.001503	E) None of these

Solution: 15.03 Ã— 0.01 = ?   or,? = 0.1503   0.1503nswer 0.1503
Answer: A