MU-NLPC/Calc-aqua_rat huggingface dataset:
A shopkeeper sells his goods at cost price but uses a faulty meter that weighs 750 grams. Find the profit percent.  Pick one: A) 100/17% B) 100/23% C) 100/19% D) 100/3% E) None of these

Solution: Explanation:   (100 + g) / (100 + x) = True measure / Faulty measure   x = 0   true measure = 1000   faulty measure = 750   100 + g / 100 + 0 = 1000 / 750   100+g = 4/3*100   g = 100/3 %   ANSWER: 100/3%
Answer: D
A student answered 86 problems on a test correctly and
received a grade 98%. How many problems were on the test,
if all the problems were worth the same number of points?
(Round to the nearest whole number)	Pick:
A) 48 problems B) 28 problems C) 68 problems D) 58 problems E) 88 problems

Solution: 98/100=86/x   Multiply the opposites:   100 x 86 = 8600   Divide by the remaining number:   87.7/8600 .0   98   88 problems (rounded to nearest whole)   correct answer 88 problems
Answer: E
A can work three times as fast as B. Together they can finish a job in 24 days. In how many days can A complete the job alone?	Choose the most appropriate option:
A) 28 B) 30 C) 32 D) 34 E) 36

Solution: B's rate is x and A's rate is 3x.   x + 3x = 1/24   x = 1/96   A's rate is 3x = 1/32   A can complete the job in 32 days.   The answer is 32.
Answer: C
If two numbers are in the ratio 2:3. If 5 is added to both of the numbers then the ratio becomes 3:4 then find the smallest number?
Answers: A) A)10 B) B)18 C) C)20 D) D)24 E) E)26

Solution: 2:3   2x + 5 : 3x + 5 = 3 : 4   4[2x + 5] = 3[3x + 5]   8x + 20 = 9x + 15   9x - 8x = 20 - 15= 
20 - 15 = 5
5   Then smallest number is= 2   2x = 10   Correct Option 10
Answer: A
6.513/10.02 =  Options:
A) 0.35
B) 0.3505
C) 0.3509
D) 0.65
E) 0.3527

Solution: 6.513 / 10.02   6.513 / 1002 = 6.5   move the comma two places to the left as we have 2 decimal places from the divisor: 0.65. Answer: 0.65
Answer: D
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 2.16 million cubic inches to package the collection, what is the minimum amount the university must spend on boxes?	Choose the correct option.
A) $120  B) $180  C) $310  D) $450  E) $640

Solution: The volume of each box is 20*20*12= 
20*20*12 = 4_800
4800 cubic inches.   Number of boxes= 2,160,000/4800 = 450 boxes   Total cost = 450×$0.4=$180   The answer is $180.
Answer: B
A sum fetched a total simple interest of Rs. 4016.25 at the rate of 3% p.a. in 5 years. What is the sum?	Choose the correct choice.
A) 26775
B) 28772
C) 28821
D) 89255
E) 28871

Solution: Principal = (100 * 4016.25) / (3 * 5)   = Rs.26775.   26775nswer:26775
Answer: A
A company uses 5 pizza machines to produce 500 pizzas in a day. They buy 2 more new machines that can produce 20% more. How many pizzas in all can be produced for 5 days?
Choose the most appropriate option.
A) 1,100 B) 4,000 C) 3,000 D) 5,500 E) 2,500

Solution: Old machines produce 500*5= 2,500   New machines produce 1.20*2,500= 3,000   In all 2,500 + 3,000 = 5,500 pizzas an be produced.   Answer 5,500.
Answer: D
If x and y are prime numbers, which of the following CANNOT be the sum of x and y?	Select:  A) 5  B) 9  C) 13  D) 16  E) 23

Solution: All answer choices but D are odd. In order odd number to be the sum of two prime numbers one must be even, so 2, and another odd.   Now, 23=2+21. Since 21 is not a prime then 23 cannot be written as the sum of two prime numbers.   Answer: 23.
Answer: E
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?
Choices.
A) 23772
B) 14988
C) 12778
D) 14000
E) 27191

Solution: Explanation:   25*12: 30*12: 35*8   15:18:14   14/47 * 47000= 
14/47 * 47000 = 14_000
14000   Answer: 14000
Answer: D
What is the area of square field whose side of length 5 m?  Choose the correct choice from the following:
A) 80 sq m	B) 26 sq m	C) 25 sq m	D) 45 sq m	E) 96 sq m

Solution: 5 * 5= 
5 * 5 = 25
25 sq m   Answer: 25 sq m
Answer: C
What is the smallest positive integer K such that the product of 1575 x K is a perfect square? Select the correct option:	A) 7	B) 9	C) 15	D) 25	E) 63

Solution: perfect square, is just an integer that can be written as the square of some other integer. For example 16=4^2, is a perfect square.   Now, 1575 = 3^2 * 5^2 * 7, so if k=7 then 1575 k = (3 * 5 * 7)^2, which is a perfect square (basically the least positive value of k must complete only the power of 7 to even power as powers of other primes are already even).   7nswer: 7.
Answer: A
What will come in place of the x in the following Number series? 5,28,57,88,125,166,209	Choose the most appropriate option.
A) 156 B) 159 C) 166 D) 170 E) 256

Solution: 28=23+5   57=29+28   88=31+57   125=37+88   166=41+125   209=43+166   256=47+ 209= 
47+ 209 = 256
256   256
Answer: E
Twenty four men can do a work in 35 days. How many men are required to complete the work in 21 days?
Choices:	A) 22	B) 40	C) 277	D) 26	E) 12

Solution: We have M1 D1 = M2 D2   So, 24 * 35 = M2 * 21 => M2 = 40.   Answer:40
Answer: B
A train 125 m long passes a man, running at 8 km/hr in the same direction in which the train is going, in 10 seconds. The speed of the train is?  Select.
A) 11 B) 50 C) 88 D) 53 E) 22

Solution: Speed of the train relative to man = (125/10) m/sec = (25/2) m/sec. [(25/2) * (18/5)] km/hr   = 45 km/hr. Let the speed of the train be x km/hr. Then, relative speed = (x - 8) km/hr. x - 8 = 45 ==> x   = 53 km/hr.   Answer:53
Answer: D
Convert 100 inches into centimeter?
Choose the correct choice from the following.
A) 112cm	B) 120cm	C) 150cm	D) 210cm	E) 254cm

Solution: 1 inch = 2.54cm   100 inches = 100*2.54= 
100*2.54 = 254
254cm   Answer is 254cm
Answer: E
Two trains are moving in the same direction at 50 km/hr and 30 km/hr. The faster train crosses a man in the slower train in 18 seconds. Find the length of faster train.
Select
A) 1777 meter B) 100 meter C) 1787 meter D) 1768 meter E) 8167 meter

Solution: ANSWER: 100 meter
Answer: B
How many seconds will a train 100 meters long take to cross a bridge 150 meters long if the speed of the train is 36 kmph?  Choose the correct choice from the following answers:  A) 65 sec  B) 88 sec  C) 25 sec  D) 88 sec  E) 55 sec

Solution: D = 100 + 150= 
100 + 150 = 250
250   S= 36 * 5/18= 
36 * 5/18 = 10
10 mps   T= 250/10= 
250/10 = 25
25 sec   Answer: 25 sec
Answer: C
Working individually, Julie can peel potatoes in 10 hours and Ted can peel potatoes in 8 hours. If Julie and Ted work together but independently at the task for 4 hours, at which point Ted leaves, how many remaining hours will it take Julie to complete the task alone? Choose the correct choice from the following options
A) 3/15	B) 2/11	C) 1/4	D) 1/3	E) 1

Solution: In first 4 hrs Ted will finish 4/8 = 1/2 of work and Julie will finish 4/10 work so total 1/2 + 2/5 = 9/10 work is finished and   1-9/10 = 1/10 work remaining. Now Julie will take (1/10)*10= 
(1/10)*10 = 1
1 hrs to finish it.   So answer is 1.
Answer: E
In a School, 93 percent of students like vegetarian, 95 percent of students like Non-veg, 89 percent likes fast food and 91 percent likes Chines food.
Can you find out the percentage of students who like all 4 food variety?  Choose the correct choice.
A) 50% B) 65% C) 75% D) 88% E) 68%

Solution: 68%   68% of student study all four subjects.
Answer: E
By selling 150 mangoes, a fruit-seller gains the selling price of 25 mangoes. Find the gain percent?
Options
A) 27%  B) 25%  C) 21%  D) 20%  E) 24%

Solution: SP = CP + g   150 SP = 150 CP + 25 SP   125 SP = 150 CP   125 --- 25 CP   100 --- ? => 20%   Answer:20%
Answer: D
On a certain farm the ratio of horses to cows is 5:1. If the farm were to sell 15 horses and buy 15 cows, the ratio of horses to cows would then be 17:7. After the transaction, how many more horses than cows would the farm own?  Choose the correct choice from the following choices
A) 30	B) 40	C) 50	D) 60	E) 70

Solution: Originally, there were 5k horses and k cows.   7(5k-15) = 17(k+15)   35k-17k = 255+105   18k = 360   k = 20   The difference between horses and cows is (5k-15)-(k+15) = 4k-30 = 50   The answer is 50.
Answer: C
If a number is formed by writing integers 1 to 150 one after another, like 12345...150. How many W digits does this integer consists of?
Answers
A) 150
B) 339
C) 342
D) 359
E) 362

Solution: Number of single digit integers = 9   Number of 2 digit integers = 99 - 10 + 1= 
99 - 10 + 1 = 90
90   Number of 3 digit integers= 150 - 100 + 1= 
150 - 100 + 1 = 51
51   Number of digits in the integer W= 1*9 + 2*90 + 3*51 = 9 + 180 + 153= 
9 + 180 + 153 = 342
342   Answer: 342
Answer: C
Ashok secured average of 70 marks in 6 subjects. If the average of marks in 5 subjects is 74, how many marks did he secure in the 6th subject?
Pick:
A) 50	B) 74	C) 78	D) 80	E) None of these

Solution: Explanation:   Number of subjects = 6   Average of marks in 6 subjects = 70   Therefore total marks in 6 subjects = 70 * 6= 
70 * 6 = 420
420   Now, No. of subjects= 5   Total marks in 5 subjects = 74 * 5= 
74 * 5 = 370
370   Therefore marks in 6th subject= 420 – 370 = 50   50NSWER 50
Answer: A
If the sides of a triangle are 28 cm, 26 cm and 10 cm, what is its area?
Pick
A) 120  B) 130  C) 288  D) 266  E) 2848

Solution: The triangle with sides 28 cm, 26 cm and 10 cm is right angled, where the hypotenuse is 28 cm.   Area of the triangle = 1/2 * 26 * 10= 
1/2 * 26 * 10 = 130
130 cm2   Answer: 130
Answer: B
How many four digit numbers have no repeat digits, do not contain zero, and have a sum of digits D equal to 28? Choose the correct choice
A) 14 B) 24 C) 28 D) 48 E) 96

Solution: First, look for all 4 digits without repeat that add up to 28. To avoid repetition, start with the highest numbers first.   Start from the largest number possible 9874.   Then the next largest number possible is 9865.   After this, you'll realize no other solution. Clearly the solution needs to start with a 9 (cuz otherwise 8765 is the largest possible, but only equals 26). With a 9, you also need an 8 (cuz otherwise 9765 is the largest possible, but only equals 27). With 98__ only 74 and 65 work.   So you have two solutions. Each can be rearranged in 4!=24 ways. So 48=24+24=48.48
Answer: D
A watch was sold at a loss of 10%. If it was sold for Rs.140 more, there would have been a gain of 4%. What is the cost price? Choose the correct choice from the following.
A) Rs.1000	B) Rs.1087	C) Rs.1028	D) Rs.1029	E) Rs.1023

Solution: 90%   104%   --------   14% ---- 140   100% ---- ? => Rs.1000   Rs.1000nswer: Rs.1000
Answer: A
A lady has fine gloves and hats in her closet - 18 blue, 32 red, and 25 yellow. The lights are out and it is totally dark. In spite of darkness, she can make out the difference between a hat and a glove. She takes out an item out of the closet only if she is sure that it is a glove. How many gloves must she take out to make sure she has a pair of each color?  Choose the correct choice:
A) 60  B) 65  C) 70  D) 75  E) 80

Solution: 32r+24y+1y+1b+2b=60   60NSWER:6032 +24 +1 +1 +2= 
32 +24 +1 +1 +2 = 60
60   60NSWER:60
Answer: A
A tourist does not have to pay tax on the first $600 of goods he purchases in Country B, but does have to pay a 8 percent tax on the portion of the total value that is in excess of $600. What tax must be paid by a tourist if he buys goods with a total value of $1720? Choose the correct option.
A) $54.00
B) $89.60
C) $90.00
D) $100.80
E) $154.80

Solution: Correct Answer: B   The tourist must pay tax on $1720 - $600 = $1120. Thus, the amount of tax he has to pay is 0.08 ($1120) 1720 -  600= 
1720 -  600 = 1_120
$1120. Thus, the amount of tax he has to pay is 0.08 ($1120)= $89.60. The correct answer is $89.60.
Answer: B
The sum of the digits of a two digit number is 10. When the digits are reversed, the number decreases by 54. Find the changed Number. Choose the correct choice from the following answers:
A) 28 B) 19 C) 37 D) 46 E) 50

Solution: a+b = 10   10a + b - 10b - a = 54   a-b = 6   a= 8, b = 2.   Reversed number is 28.   28ns 28
Answer: A
If n + 14 is a positive odd integer, which of the following must be true about the sum of the next four integers? Choose the most appropriate option
A) It is a multiple of 3
B) It is a multiple of 4
C) It is a multiple of 2
D) It is a multiple of 5
E) It is a prime number

Solution: n+14 is a positive odd integer. This means n will be an odd integer   The next 4 integers would be: n + 14, n + 15, n + 16, n + 17   Sum = 4n + 62   This sum will always be even.   Option It is a multiple of 2
Answer: C
16 boys or 24 girls can construct the wall in 6 days. the number of days that 8 boys and 24 girls Will take to construct?	Choose the correct choice from the following choices.
A) 4 days B) 14 days C) 6 days D) 8 days E) 9 days

Solution: Explanation:   16 boys =24 girls, 1 boy = 24/16 girls   1 boy = 6/4 girls   8 boys + 24 girls = 8 Ã— 6/4 + 12 = 12 + 24= 
12 + 24 = 36
36 girls   4 days to complete the work   4 daysnswer: Option 4 days
Answer: A
A dishonest dealer uses a scale of 92 cm instead of a metre scale and claims to sell at cost price. His profit is Pick one:
A) 9% B) 10% C) 12% D) None of these E) 8.7%

Solution: Solution   Gain%	= (8 / 92 x 100)%   = 8.7%   Answer 8.7%
Answer: E
A man is 28 years older than his son. In four years, his age will be twice the age of his son. The present age of this son is  Choose the correct choice:
A) 21 years	B) 22 years	C) 23 years	D) 24 years	E) 25 years

Solution: Explanation:   Let's Son age is x, then Father age is x+28.   => 2(x+4) = (x+28+4)   => 2x+8 = x+32   => x = 24 years   Answer: Option 24 years
Answer: D
Reduce
368/736
to the lowest terms	Choose one.
A) 3/5  B) 2/9  C) 2/8  D) 1/2  E) None of these

Solution: Explanation:   We can do it easily by in two steps   Step1: We get the HCF of 368 and 736 which is 368   Step2: 1/2ivide both by 368, we will get the answer 1/2   Answer: Option 1/2
Answer: D
From a group of 5 boys and 5 girls, 6 children are to be randomly selected. What is the probability that 3 boys and 3 girls will be selected? Choices
A) 4/15	B) 6/17	C) 8/19	D) 10/21	E) 12/23

Solution: The total number of ways to choose 6 children from 10 is 10C6 = 210   The number of ways to choose 3 boys and 3 girls is 5C3*5C3 = 10*10= 
10*10 = 100
100   P(3 boys and 3 girls)= 100/210 = 10/21   The answer is 10/21.
Answer: D
If x and y are integers and x divided by y is 17.15, then which of the following integers is a possible value for the remainder when x is divided by y? I. 15 II. 5 III. 3  Choose the correct choice from the following options:  A) II only  B) I only  C) II,III only  D) III only  E) I,III only

Solution: x=17.15y from which x = 17y + 15y/100 or x = 17y + 3y/20.   Since x and y are integers, 3y/20 must also be an integer. 3 is not divisible by 20, then y must be divisible by 20, and therefore, y/20 is an integer and 3y/20 is an integer which is a multiple of 3. From the given answers, only 15 and 3 are divisible by 3.   Answer I,III only
Answer: E
If each side of a rectangle is increased by 50% with the length being double the width, find the percentage change in its area?
Answers.
A) 284%	B) 276%	C) 265.25%	D) 284.5%	E) 275%

Solution: area = 2a x a   New length = 250a / 100 = 5a /2   New width = 150a / 100 = 3a /2   New area =(5a x 3a) / (2 x 2) = (15a²/4)   increased area== (15a²/4) - a²   Increase %= [(11a²/4 ) x (1/a² ) x 100]% = 275%   answer :275%
Answer: E
Having received his weekly allowance, John spent 3/5 of his allowance at the arcade. The next day he spent one third of his remaining allowance at the toy store, and then spent his last $0.75 at the candy store. What is John’s weekly allowance? Choose the correct option
A) $2.40
B) $2.80
C) $3.20
D) $3.60
E) $4.80

Solution: Total allowance=X   Amount spent at the arcade=3/5X   Amount Remaining=2/5X   Amount Spent at the toy store=2/5*1/3X=2/15X   Amount Remaining=2/5X-2/15X=4/15X   Now, 4/15X=$0.8   Therefore, X=$2.80. Answer $2.80
Answer: B
By approximately what percent is x greater than 2/5 if (3/5)(x) = 1?  Select the correct option:
A) 723%  B) 156%  C) 316%  D) 37%  E) 29%

Solution: what percent is x greater than 2/5 if (3/5)(x) = 1?   => x = 5/3   % change =[(5/3 -2/5) /(2/5) ] * 100   = 316.5%   = 316% approx   Ans ,316%
Answer: C
How many positive integer solutions does the equation 2x+3y = 100 have? Choose one
A) 50	B) 33	C) 16	D) 35	E) 14

Solution: formula: (constant)/(lcm of two nos)   =100/(2*3)=15.5   ANSWER:16
Answer: C
A diner is having lunch at a salad bar. There are two types of lettuce to choose from, as well as three types of tomatoes, and five types of olives. If the diner picks one type of lettuce, one type of tomato, and one type of olive for the salad, how many total options does the diner have for the salad?	Choose the most appropriate option
A) 25 B) 30 C) 35 D) 40 E) 45

Solution: 2*3*5= 
2*3*5 = 30
30   The answer is 30.
Answer: B
The ratio of two numbers is 3 : 4 and their H.C.F. is 4. Their L.C.M. is  Answers
A) 48  B) 22  C) 56  D) 27  E) 67

Solution: Explanation:   Let the numbers be 3x and 4x. Then, their H.C.F. = x. So, x = 4.   So, the numbers 12 and 16.   L.C.M. of 12 and 16 = 48.   Option 48
Answer: A
A, B, C subscribe Rs. 50,000 for a business. If A subscribes Rs. 4000 more than B and B Rs. 5000 more than C, out of a total profit of Rs. 35,000, what will be the amount A receives?	Choose the correct choice from the following choices.
A) 14700
B) 14500
C) 14000
D) 15000
E) 15200

Solution: Total amount invested = 50000   Assume that investment of C =x.   Then investment of B =5000+x,   Investment of 14700 =4000+5000+x=9000+x   x+5000+x+9000+x=50000   ⇒3x+14000=50000   ⇒3x=50000–14000=36000   ⇒x=36000/3= 
36000/3 = 12_000
12000   Investment of C=x=12000   Investment of B =5000+x=17000   Investment of 14700 =9000+x=21000   Ratio of the investment of 14700, B and C   =21000:17000:12000=21:17:12   Share of 14700 = Total profit ×21/50   =35000×2150=700×21=14700   14700nswer is 14700.
Answer: A
A box contains 3 blue marbles, 4 red, 6 green marbles and 2 yellow marbles. If two marbles are picked at random, what is the probability that they are either blue or yellow?  Select the correct option
A) 2/26  B) 2/20  C) 2/21  D) 2/22  E) 6/21

Solution: Given that there are three blue marbles, four red marbles, six green marbles and two yellow marbles. Probability that both marbles are blue = = (3 * 2)/(15 * 14) = 1/35   Probability that both are yellow = = (2 * 1)/(15 * 14) = 1/105   Probability that one blue and other is yellow = = (2 * 3 * 2)/(15 * 14) = 2/35   Required probability = 1/35 + 1/105 + 2/35   = 3/35 + 1/105 = 1/35(3 + 1/3)   = 10/(3 * 35) = 2/21.Answer:2/21
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 answer:	A) Rs.500	B) Rs.1000	C) Rs. 3630	D) Rs.2500	E) Rs.6000

Solution: Explanation:   6300:4200:10500   3:2:5   3/10 * 12100 =Rs. 3630   ANSWER:Rs. 3630
Answer: C
How long does a train 120 m long traveling at 60 kmph takes to cross a bridge of 170 m in length? Choose the correct answer.
A) sec	B) sec	C) sec	D) sec	E) sec

Solution: sec = 120+ 170= 
120+ 170 = 290
290 m   S= 60 * 5/18 = 50/3   T = 290 * 3/50= 
290 * 3/50 = 87/5 = around 17.4
17.4 sec   Answer: sec
Answer: D
|x+3| – |4-x| = |8+x| How many solutions Zwill this equation have? Choose the correct choice from the following choices.
A) 0 B) 1 C) 2 D) 3 E) 4

Solution: Z=|x| = x when x >= 0 (x is either positive or 0)   |x| = -x when x < 0 (note here that you can put the equal to sign here as well x <= 0 because if x = 0,   |0| = 0 = -0 (all are the same)   So the '=' sign can be put with x > 0 or with x < 0. We usually put it with 'x > 0' for consistency.0
Answer: A
A does a work in 30 days and B does the same work in 15 days. In how many days they together will do the same work ?	Select
A) 7 days
B) 8 days
C) 9 days
D) 10 days
E) None of these

Solution: Explanation:   Firstly we will find 1 day work of both A and B, then by adding we can get collective days for them,   So,   A's 1 day work = 1/30   B's 1 day work = 1/15   (A+B)'s 1 day work =   (1/30+1/15)=1/10   So together they can complete work in 10 days.   Answer: 10 days
Answer: D
A man cycling along the road noticed that every 6 minutes a bus overtakes him and every 2 minutes he meets an oncoming bus. If all buses and the cyclist move at a constant speed, what is the time interval between consecutive buses? Choose the correct option:	A) 3 minutes	B) 6 minutes	C) 8 minutes	D) 9 minutes	E) 10 minutes

Solution: Let's say the distance between the buses is d. We want to determine Interval=\frac{d}{b}, where b is the speed of bus.   Let the speed of cyclist be c.   Every 6 minutes a bus overtakes cyclist: \frac{d}{b-c}=6, d=6b-6c;   Every 2 minutes cyclist meets an oncoming bus: \frac{d}{b+c}=2, d=2b+2c;   d=6b-6c=2b+2c, --> b=2c, --> d=6b-3b=3b.   Interval6 -3= 
6 -3 = 3
3b.   Interval=\frac{d}{b}=\frac{3b}{b}=3   3 minutesnswer: 3 minutes (3 minutes).
Answer: A
A certain Maroon paint contains 50 percent blue pigment and 50 percent red pigment by weight. A certain green paint contains 30 percent blue pigment and 70 percent yellow pigment. When these paints are mixed to produce a brown paint, the brown paint contains 40 percent blue pigment. If the brown paint weighs 10 grams, then the red pigment contributes how many grams of that weight?	Choose the correct choice from the following answers:  A) 3  B) 3.5  C) 2.5  D) 4  E) 4.5

Solution: 10 Grams of combined mixture and 40% blue pigment means that the mixtures were mixed 50% each. Thus 5 grams a piece. Out of the 5 grams of the Dark Blue paint, 60% is red. Therefore, 5*.5 = 2.5 Grams of red pigment
Answer: C
A sum of money is to be distributed among A, B, C, D in the proportion of 5 : 2 : 4 : 3. If C gets $500 more than D, what is B's share?	Choose the correct option.
A) $500 B) $1000 C) $1500 D) $2000 E) $2500

Solution: Let the shares of A, B, C and D be 5x, 2x, 4x and 3x respectively.   Then, 4x - 3x = 500   x = $500   $1000's share = 2x = 2*$500 = $1000   The answer is $1000.2* 500= 
2* 500 = 1_000
$1000   The answer is $1000.
Answer: B
In what time a sum of money double itself at 4% per annum simple interest?
Choose the most appropriate option
A) 33 1/8% B) 33 1/3% C) 33 7/3% D) 32 1/3% E) 25 %

Solution: P = (P*4*R)/100   R = 25%   Answer: 25 %
Answer: E
In a throw of a coin find the probability of getting a head?	Pick one:
A) 1/2 B) 1/3 C) 1/4 D) 2/3 E) 2/5

Solution: S = {H,T}   E = {H}   P(E) = 1/2   1/2nswer is 1/2
Answer: A
A and B can do a piece of work in 12 days and 16 days respectively. Both work for 3 days and then A goes away. Find how long will B take to complete the remaining work?
Select the correct option: A) 2 days B) 6 days C) 8 days D) 9 days E) 5 days

Solution: Explanation:   3/12 + (3 + x)/16 = 1   x = 9 days   Answer:9 days
Answer: D
23, 18, 16, 11, 9, 4 ? Choose one:
A) 3
B) 2
C) 7
D) 5
E) 1

Solution: This is a simple alternating subtraction series, with a pattern -2, -5, -2, -5 ....   Answer : 2.
Answer: B
is two years older than B who is twice as old as C. If the total of the ages of A, B and C be 22, then how old is B? Pick one.
A) 7  B) 8  C) 9  D) 10  E) 11

Solution: Let C's age be x years.   Then, B's age = 2x years.   A's age = (2x + 2) years.   (2x + 2) + 2x + x = 22   5x = 20 => x = 4   Hence, B's age = 2x = 8 years.   ANSWER:8
Answer: B
16 men can complete a piece of work in 25 days. In how many days can 15 men complete that piece of work?
Choose the most appropriate option:
A) 26.7 days  B) 77 days  C) 20 days  D) 88 days  E) 44 days

Solution: 16 * 25 = 15 * x => x   = 26.7 days   26.7 daysnswer: 26.7 days
Answer: A