MU-NLPC/Calc-aqua_rat huggingface dataset:
Ten years ago A was half of B in age. If the ratio of their present ages is 3 : 4, what will be the total of their present ages
Pick.
A) 30	B) 35	C) 37	D) 41	E) 43

Solution: Explanation:   Let A's age 10 years ago = x years.   Then, B's age 10 years ago = 2x years.   (x + 10) / (2x+ lO) = 3/4   => x = 5.   So, the total of their present ages =(x + 10 + 2x + 10)   = (3x + 20) = 35 years.   Answer: Option 35
Answer: B
You have three pills with you which you are required to take one after every thirty minutes.
How long can the pills run for you? Choose one
A) 1 hour  B) 2 hour  C) 3 hour  D) 4 hour  E) None

Solution: Solution:   The pills can run for an hour.   Explanation:   If you had ninety minutes in mind, then you are wrong. You took the first pill at the zero minute. Then you took the second pill after 30 minutes and the third pill after 30 + 30 i.e. 60 minutes or an hour   1 hournswer 1 hour
Answer: A
Solve this logic number sequence puzzle by the correct digit
8080 = 6
1357 = 0
2022 = 1
1999 = 3
6666 = ?  Select:
A) 5  B) 3  C) 7  D) 2  E) 4

Solution: 4
Answer: E
When Sally went to the candy store, she bought 25 licorice sticks. As she was walking home, she ate 1 licorice stick for each block that she walked. She walked 5 blocks. How many licorice sticks did she have left when she arrived at home?	Pick one
A) 30	B) 25	C) 20	D) 19	E) 21

Solution: To determine the number of licorice sticks that she ate, you have to multiply the number of blocks that she walked by the number that she ate per block (5*1=5)To determine the number of licorice sticks remaining when she arrived home, you have to subtract the number of licorice sticks that she ate from the total that she bought. (25-5=20)   The correct answer is 20
Answer: C
Kiran had 85 currency notes in all , some of which were of Rs.100 denomination and the remaining of Rs.50 denomination the total amount of all these currency note was Rs.5000.how much amount did she have in the denomination of Rs.50?  Choose the correct option:
A) 1500  B) 5500  C) 3500  D) 6500  E) 2500

Solution: Let the no of fifty rupee notes be x   Then, no of 100 rupee notes =(85-x)   50x+100(85-x)=5000   x+2(85-x)=100   x=70   so, required amount=Rs.(50*70)= Rs.3500   Answer is 3500
Answer: C
If a tire rotates at 400 revolutions per minute when the car is traveling 48km/h, what is the circumference of the tire? Choose the correct choice from the following choices
A) 2  B) 1  C) 4  D) 3  E) 5

Solution: 400 rev / minute = 400 * 60 rev / 60 minutes   = 24,000 rev / hour   24,000 * C = 48,000 m : C is the circumference   C = 2 meters   correct answer 2
Answer: A
A committee of 6 is chosen from 7 men and 5 women so as to contain at least 2 men and 3 women. How many different committees could be formed?
Pick one.
A) 455 B) 700 C) 1404 D) 2620 E) 3510

Solution: The only cases possible are :   1. 2 men and 4 women : 7C2 * 5C4 = 105   2. 3 men and 3 women: 7C3*5C3 = 350   Rest of the cases will either have 1 or 0 men (not allowed) or will have 1 or 2 or 0 women (not allowed)   Total possible combinations = 105+350= 
105+350 = 455
455. Thus 455 is the correct answer.
Answer: A
3 pumps, working 8 hours a day, can empty a tank in 2 days. How many hours a day must 4 pumps work to empty the tank in 1 day?	Choose the correct choice from the following answers:
A) 33
B) 77
C) 26
D) 12
E) 99

Solution: Let the required number of working hours per day be x.   More pumps, Less working hours per day (Indirect Proportion)   Less days, More working hours per day (Indirect Proportion)   Pumps	4	:	3 :: 8 : x   Days	1	:	2   4 x 1 x x = 3 x 2 x 8   x =	(3 x 2 x 8)   (4)   x = 12.   Answer:12
Answer: D
Aarti can do a piece of work in 3 days. In how many days will she complete 10 time of work of same type?
Choose the correct choice from the following options:
A) 6 days  B) 18 days  C) 21 days  D) 30 days  E) 13 days

Solution: We have the important relation, More work, More time (days)   A piece of work can be done in 3 days.   10 times of work of same type can be done in 3 x 10   = 30 days   Answer 30 days
Answer: D
The least number which should be added to 2400 so that the sum is exactly divisible by 5,6,4 and 3 is : Choose the correct answer:
A) 3
B) 13
C) 20
D) 33
E) 43

Solution: Solution   L.C.M. of 5,6,4 and 3 = 60. on dividing 2400 by 60, the remainder is 40.   ∴ Number to be added = (60-40)= 
(60-40) = 20
20. Answer 20
Answer: C
In a series of six consecutive odd numbers, the third number is 31. What is the fifth number? Select the correct option:
A) 35 B) 33 C) 45 D) 31 E) 29

Solution: Let the numbers be x, x + 1, x + 3, x + 5 and x + 7.   Given (x + 3) = 31   => x = 28   The fifth number = x + 7 = 28 + 7= 
28 + 7 = 35
35.   35nswer: 35
Answer: A
Sixteen machines, each working at the same constant rate, together can complete a certain job in 12 days. How many additional machines, each working at the same constant rate, will be needed to complete the Job in 8 days?	Answers:	A) 2	B) 3	C) 4	D) 6	E) 8

Solution: Another solution which is faster is Since each machine works at a constant rate. The time needs to bought down from 12 to 8. So the new time is 2/3 of the original time. Thus to achieve this we need the rate to be 3/2 of original.   So 3/2* 16= 
3/2* 16 = 24
24   So we need   24-16= 
  24-16 = 8
8 more machines.   Answer : 8
Answer: E
Billy read 2 books. He read the first one in one week with 25 pages everyday. He read the second book in 12 days with 23 pages everyday. What is the total number of pages that Billy read?
Choices:  A) 887pages  B) 656 pages  C) 435 pages  D) 451 pages  E) 232pages

Solution: Pages read in the first book in one week which is 7 days with 25 pages everyday.   25 *7= 
25 *7 = 175
175 pages   Pages read in the second book in 12 days with 23 pages everyday.   23 *12= 
23 *12 = 276
276 pages   Total number of pages read     175 + 276= 
  175 + 276 = 451
451 pages   correct answer 451 pages
Answer: D
If 0.5 of a number is equal to 0.09 of another number, the ratio of the numbers i Choose the correct choice from the following answers
A) 2 : 3
B) 3 : 4
C) 3 : 20
D) 3 : 7
E) 9 : 50

Solution: Sol.   0.5A = 0.09 B â‡” A / B = 0.09 / 0.50 = 9/50   âˆ´ A : B = 9 : 50.   Answer 9 : 50
Answer: E
Marketing executives for a certain chewing gum company projected a 20 percent increase in revenue this year over that of last year, but revenue this year actually decreased by 10%. What percent of the projected revenue was the actual revenue ?
Pick
A) 53% B) 58% C) 62.5% D) 64% E) 75%

Solution: Last year revenue = 100 (assume);   This year revenue = 90;   Projected revenue = 120.   Actual/Projected*100=90/120*100= 
90/120*100 = 75
75%.   Answer: 75%.
Answer: E
A construction company wants to number new houses using digit plates only. If the company puts an order for 612 plates, how many houses are to be given numbers? (The numbers of houses are consecutive and the number of the first house is 1).
Choose the correct option.
A) 170  B) 179  C) 196  D) 240  E) 200

Solution: You know that the answer is going to be three digits, and it's easy to figure out how many 1 and 2 digit numbers (9 and 90), so the real question is how many 3 digit number are there?   99+(612-9-90*2)/3= 
99+(612-9-90*2)/3 = 240
240   Answer : 240
Answer: D
Jerry’s average (arithmetic mean) score on the first 3 of 4 tests is 85. If Jerry wants to raise his average by 3 points, what score must he earn on the fourth test? Pick one
A) 97  B) 89  C) 90  D) 93  E) 95

Solution: Total score on 3 tests = 85*3= 
85*3 = 255
255   Jerry wants the average to be= 88   Hence total score on 4 tests should be = 88*4= 
88*4 = 352
352   Score required on the fourth test= 352 - 255= 
352 - 255 = 97
97   Option 97
Answer: A
Sum of ages of two friends is 32 while difference is 2 then their ages are  Options:  A) 15 years, 17 years  B) 17 years, 15 years  C) 16 years, 18 years  D) 18 years, 16 years  E) None

Solution: 17,15   ANSWER:17 years, 15 years
Answer: B
There are three foam generators in the factory, each of the first two can generate 14 liters of foam in one hour and the third can generate 20 liters in an hour. The three generators start working together at the same time and after one hour and a half one of the first generators stops working and two hours after that the third generator stops working and only one generator is left. If 5 hours after they all started to work the last generator stops working, how many liters of foam were generated?  Choose the most appropriate option.
A) 120. B) 132. C) 146. D) 161. E) 166.

Solution: Let the foam generators capacity be -   A = 14 lit/hr   B = 14 lit/hr   C = 20 lit/hr   Total foam generation in 1 hour will be 48 lit ( 14 + 14 + 20 ) ; since in 1 and 1/2 hr they will generate   48 + 24= 
  48 + 24 = 72
> 72 litres...   Now one of the first generators stops working ( Say A stops working ) , so we have -   B= 14 lit/hr   C = 20 lit/hr   Total foam generation in 2 hour will be 68 litres {2 (14+20)}   The third generator stops working and now only B works for the remaining time 1 and 1/2 ( 5 - 1 and 1/2 - 2 )...   Foam generated by B will be  3/2 * 14= 
 3/2 * 14 = 21
> 21 litres   So, total foam generated will be 161 Litres ( 72 + 68 + 21 ) ; hence answer will be (161.)
Answer: D
For how many integers n is 1^n+4 = (n+4)^1?	Choose the correct choice from the following choices
A) 1  B) 2  C) 3  D) None of these  E) 4

Solution: If n=0   1^0+4= (0+4)^1   1^4 = 1 ; 4^1 =4 not ok   If n=1   1^1+4 =1 ; (1+4)^1=5^1=5 not OK   So, Answer : None of these
Answer: D
An investment of d dollars at k percent simple annual interest yields $400 over a 2 year period. In terms of d, what dollar amount invested at the same rate will yield $1,600 over a 5 year period?  Choose the most appropriate option.
A) (2d)/3 B) (3d)/4 C) (4d)/3 D) (3d)/2 E) (8d)/5

Solution: 400 dollars in 2 years means 200 dollars in 1 year.   To get 1600 dollars' it will take 8 years.   To get 1600 in 5 years, we need 8/5 times money. Answer is (8d)/5.
Answer: E
Kiran travels from A to B by car and returns from B to A by cycle in 7 hours. If he travels both ways by car he saves 3 hours. What is the time taken to cover both ways by cycle?  Choose the correct choice from the following
A) 10 hours  B) 17 hours  C) 12 hours  D) 50 hours  E) 16 hours

Solution: Let the time taken to cover from A to B in car and cycle be x hours and y hours respectively.   x + y = 7 --- (1) ; 2x = 4 --- (2)   solving both the equations, we get y = 5   So, time taken to cover both ways by cycle = 2y hours = 10 hours.   10 hoursnswer:10 hours
Answer: A
The arithmetic mean of the 5 consecutive integers starting with 's' is 'a'. What is the arithmetic mean of 9 consecutive integers that start with s + 2?  Choose the correct choice from the following answers.
A) 2 + s + a  B) 22 + a  C) 2s  D) 2a + 2  E) 4 + a

Solution: Here for The series   s,s+1...s+4 => mean = median = s+2 =a   hence for the next 9 consecutives => a,a+1,a+2...   => Mean = Median = a+a+8/2 = a+4   ANSW4 + aR:4 + a
Answer: E
A certain sum of money at simple interest amounted Rs.840 in 10 years at 3% per annum, find the sum?  Choose the correct choice from the following options
A) 337
B) 299
C) 277
D) 646
E) 271

Solution: 840 = P [1 + (10*3)/100]   P = 646   Answer: 646
Answer: D
A dress on sale in a shop is marked at $D. During the discount sale its price is reduced by 45%. Staff are allowed a further 40% reduction on the discounted price. If a staff member buys the dress what will she have to pay in terms of D ?  Answers.
A) 0.35D
B) 0.76D
C) 0.65D
D) 0.77D
E) 0.33D

Solution: 0.33Dffective discount = a + b + ab/100 = - 45 - 40 + (-45)(-40)/100 = -67   Sale price = D * ( 1 - 67/100)   Sale price = .33 * D   Answer (0.33D)
Answer: E
June 25, 1982, fell on a Friday. On which day of the week did December 25, 1983, fall?
Answers
A) Sunday  B) Monday  C) Tuesday  D) Wednesday  E) Thursday

Solution: 6/25/82 - 12/25/83   The date range contains one full year of 365 days plus a partial year. The number of days in the partial year is:   June - 5, July - 31, August - 31, September - 30, October - 31, November - 30, and December - 25.   5 + 31 + 31 + 30 + 31 + 30 + 25= 
5 + 31 + 31 + 30 + 31 + 30 + 25 = 183
183.   183 + 365= 
183 + 365 = 548
548 total days in the date range.   Divide by 7 to determine how much the day of the week advances: 548 / 7= 78 remainder 2.   Since the first date was a Friday, advance the day of the week by 2; the second date fell on a Sunday. The answer is Sunday.
Answer: A
A train crosses a platform of 120 m in 15 sec, same train crosses another platform of length 180 m in 18 sec. then find the length of the train? Select the correct option:
A) 167m  B) 180m  C) 187m  D) 287m  E) 276m

Solution: Length of the train be ‘X’   X + 120/15 = X + 180/18   6X + 720 = 5X + 900   X = 180m   Answer:180m
Answer: B
Two trains travelling in the same direction at 40 and 22 kmph completely pass off another in 1 minute. If the length of the first train is 125 m, what is the length of the second train?	Pick one
A) 387 m B) 287 m C) 175 m D) 187 m E) 167 m

Solution: RS = 40 – 22 = 18 * 5/18= 
18 * 5/18 = 5
5 mps   T= 60 sec   D = 5 * 60= 
5 * 60 = 300
300 m   125   --------   175 m   Answer: 175 m
Answer: C
One fourth of a solution that was 10 percent gram flour by weight was replaced by a second solution resulting in a solution that was 16 percent gram flour by weight. The second solution was what percent gram flour by weight ? Select:
A) 34% B) 24% C) 22% D) 18% E) 8.5%

Solution: EQ can be written as ...   let sol be s... so (3/4)s*(.1)+(1/4)s*t=s*(.16).... we get t(% of gram flour in 2nd sol)=34%=34%
Answer: A
How many numbers between 101 and 250, exclusive are divisible by three?  Choices:
A) 34 B) 41 C) 50 D) 83 E) 148

Solution: Numbers upto 250 divisible by 3 is 250/3 = 83   Numbers upto 101 divisible by 3 is 101/3 = 33   Total number of numbers between 101 and 250 that are divisible by 3 is  83 - 33= 
 83 - 33 = 50
50   ANSWER:50
Answer: C
Solve:-
111 x 111 x 111 + 555 x 555 x 555 = ?(111 x 111 - 111 x 555 + 555 x 555)
Choose one:
A) 888
B) 666
C) 555
D) 988
E) 889

Solution: Given Exp. = (a3 + b3) = (a + b) = (111 + 555)= 
(111 + 555) = 666
666 (a2 - ab + b2)   Answer 666
Answer: B
Each of the dogs in a certain kennel is a single color. Each of the dogs in the kennel either has long fur or does not. Of the 45 dogs in the kennel, 28 have long fur, 17 are brown, and 8 are neither long-furred nor brown. How many long-furred dogs are brown?  Options.
A) 26  B) 19  C) 11  D) 8  E) 6

Solution: No of dogs=45   Long fur=28   Brown=17   Neither long fur nor brown=8   Therefore, either long fur or brown=45-8= 
45-8 = 37
37   37=28+17-Both   Both=8   Answer 8
Answer: D
If K is the sum of reciprocals of the consecutive integers from 3 to 8, inclusive, then K is closest in value to which of the following? Pick.
A) 1.2
B) 1/10
C) 1/8
D) 1/6
E) 1/4

Solution: 1/3 + 1/4 + 1/5 + 1/6 + 1/7 + 1/8   =0.33+0.25+0.20+0.16+ 0.14+0.12= 
0.33+0.25+0.20+0.16+ 0.14+0.12 = 1.2
1.2   1.2
Answer: A
A student got twice as many sums wrong as he got right. If he attempted 36 sums in all, how many did he solve correctly ?  Choose the correct choice from the following choices
A) 12
B) 16
C) 18
D) 24
E) 26

Solution: Explanation:   Suppose the boy got x sums right and 2x sums wrong.   Then, x + 2x = 36 3x = 36 x = 12.   12nswer:12
Answer: A
A gang of 8 boys goes on an tour in 2cars, of which 1can seat 5 & the other only 4. In how many ways can they travel?
Choices
A) 100
B) 121
C) 126
D) 128
E) 130

Solution: There are 8 students and the maximum capacity of the cars together is 9.   We may divide the 8 students as follows   Case I: 5 students in the first car and 3 in the second   Or Case II: 4 students in the first car and 4 in the second   Hence, in Case I: 8 students are divided into groups of 5 and 3 in8C3 ways.   Similarly, in Case II: 8 students are divided into two groups of 4 and 4 in 8C4ways.   Therefore, the total number of ways in which 8 students can travel is:   \inline {\color{Blue}8126_{3}+8126_{4}}=56 + 70= 
56 + 70 = 126
126   126
Answer: C
If P is a prime number greater than 3, find the remainder when p^2 + 17 is divided by 12.
Select the correct option: A) 6 B) 1 C) 0 D) 8 E) 7

Solution: Take any prime number greater than 3 and check -   Say p = 5   So, p^2 + 17 = 25+17= 
25+17 = 42
> 42   42/12 will have remainder as 6   Say p= 7   So, p^2 + 17 = 49+17= 
49+17 = 66
> 66   66/12 will have remainder as 6   So answer will be (6) 6
Answer: A
If the numerator of a fraction be increased by 12% and its denominator decreased by 2% the value of the fraction becomes 6/7. Thus, the original fraction is:
Select: A) 1/4 B) 2/4 C) 3/4 D) 2/3 E) 1/3

Solution: If original fraction is x/y , then   1.12x/0.98y = 6/7   (8/7)*(x/y)=6/7   x/y =6/8=3/4   ANSWER:3/4
Answer: C
In a 100 m race, A runs at 8km per hour. If A gives B a start of 9 m and still him by 15 seconds, what is the speed of B ? Select:
A) 5.46 km/hr.	B) 5.56 km/hr.	C) 5.76 km/hr.	D) 6.76 km/hr.	E) 5.72 km/hr.

Solution: Time taken by A to cover 100 m =(60 X 60 / 8000)	x 100 sec = 45 sec.   B covers (100 - 9)= 
(100 - 9) = 91
91 m in (45 + 15)= 
(45 + 15) = 60
60 sec.   B's speed= (91 x 60 x 60)/(60 x 1000)km/hr = 5.46 km/hr.   5.46 km/hr.nswer is 5.46 km/hr.
Answer: A
Difference between two numbers is 5, six times of the smaller lacks by 4 from the four times of the greater. Find the numbers?
Options:
A) 5,3
B) 7,5
C) 9,7
D) 11,9
E) 13,8

Solution: 13,8xplanation:   x – y = 5   4x – 6y = 4   x = 13 y = 8   13,8)
Answer: E
Jamshid and Irwin decided to make up their own version of basketball. In addition to being able to score 2-point baskets, they created ways to score 5-, 11-, and 13-point baskets. If at halftime the product of the point values of Irwin’s baskets was 2,420, how many 11-point baskets T did Irwin score? Choose the correct answer:
A) 0 B) 1 C) 2 D) 3 E) 4

Solution: First thing I noticed was that all these numbers are prime...   Prime factorization gives the following   Step 1:2*1210   Step 2:2*11*110   Step 4:2*11*11*10   Step 5:2*11*11*2*5   So he scored T=2 11-point baskets in my opinion.   Answer 2
Answer: C
X can do a piece of work in 8hours. Y and Z together can do it in 6 hours, while X and Z together can do it in 4 hours. How long will Y alone take to do it?	Choose the correct choice from the following answers
A) 24 HOURS	B) 20 HOURS	C) 34 HOURS	D) 12 HOURS	E) 10 HOURS

Solution: X's 1 hour work= 1/8   (Y+Z)'s 1 hour work= 1/6   (X+Z)'s 1 hour work= 1/4   (X+Y+Z)'s 1 hour work= (1/8+1/6)=7/24   Y's 1hour's work= (7/24-1/4)= 1/24   Y alone will take 24 hours to do the work.   correct option is 24 HOURS
Answer: A
What approximate value should come in place of (x) in the following question?
139.25 + 223.94 / 4.002 = x	Choose the most appropriate option
A) 250
B) 203
C) 200
D) 195
E) None of these

Solution: Explanation:   Given: 139.25 + 223.94 / 4.002 = x   Approximate 139.25 as 140, 223.94 as 224, 4.002 as 4,   we get, x = 140 + 224 / 4 = 140 + 56= 
140 + 56 = 196
196=>195   ANSWER: 195
Answer: D
A man's speed with the current is 20 kmph and speed of the current is 5 kmph. The Man's speed
against the current will be Select the correct option:
A) 11 kmph	B) 10 kmph	C) 14 kmph	D) 17 kmph	E) None of these

Solution: Explanation:   Speed with current is 20,   speed of the man + It is speed of the current   Speed in sƟll water = 20 - 5= 
20 - 5 = 15
15   Now speed against the current will be   speed of the man - speed of the current= 15 - 5= 
15 - 5 = 10
10 kmph   Answer: 10 kmph
Answer: B
Three pipes A, B and C can fill a tank from empty to full in 20 minutes, 20 minutes and 30 minutes respectively. When the tank is empty, all the three pipes are opened. A, B and C discharge chemical solutions P, Q and R respectively. What is the proportion of solution Q in the liquid in the tank after 3 minutes? Choose the correct answer:
A) 5/8
B) 6/8
C) 4/8
D) 2/8
E) 3/8

Solution: Part filled by (A + B + C) in 3 minutes = 3(1/20 + 1/20 + 1/30) = 6/15   Part filled by B in 3 minutes = 3/20   Required ratio = 3/20 * 15/6 =3/8   Answer:3/8
Answer: E
Two trains 180 m and 160 m long run at the speed of 60 km/hr and 40 km/hr respectively in opposite directions on parallel tracks. The time which they take to cross each other is?  Choose the correct choice from the following answers:
A) 10.9  B) 10.7  C) 10.3  D) 10.8  E) 12.24

Solution: Relative speed = 60 + 40= 
60 + 40 = 100
100 km/hr.= 100 * 5/18 = 250/9 m/sec.   Distance covered in crossing each other = 180 + 160= 
180 + 160 = 340
340 m.   Required time= 340 * 9/250 = 306/25= 
306/25 = 306/25 = around 12.24
12.24sec.   'Answer: 12.24
Answer: E
Number S is obtained by squaring the sum of digits of a two digit number D. If difference between S and D is 27, then the two digit number D is:	Select.
A) 24
B) 54
C) 34
D) 45
E) 25

Solution: D = 10x + y   S = 10x^2 + y^2   S-D --> (10x^2 + y^2) - (10x + y) = 27 --> 10x (x-1) + y (y+1) = 27   ANSWER:54
Answer: B
If 17m − n = p, then which of the following represents the average (arithmetic mean) of m, n, and p, in terms of m?  Choose the correct choice from the following answers:	A) 2m −1	B) 4m	C) 6m	D) m/5	E) 6m/5

Solution: 17m - n = p   Add n to both sides:   17m = n + p   Add m to both sides:   18m = n + p + m   Now, divide both sides by 3   6m = (n + p + m)/3 = the average of n, p, and m   6m
Answer: C
When positive integer n is divided by 4, the remainder is 1. When n is divided by 7, the remainder is 5. What is the smallest positive integer p, such that (n + p) is a multiple of 35?	Pick one:
A) 1
B) 2
C) 5
D) 19
E) 20

Solution: When positive integer n is divided by 4, the remainder is 1 i.e., n=4x+1   values of n can be one of {1, 5, 9, 13, 17, ...........29, 33, 37..................}   Similarly,   When n is divided by 7, the remainder is 5..i.e., n=7y+5   values of n can be one of {5, 12, 19, 26, 33, 40,........}   combining both the sets we get   n={5,33, ...........}   What is the smallest positive integer p, such that (n + p) is a multiple of 35 or 35x   in case of n=33 p=2   so for min value of p, we take min value of n.   2 is the answer.
Answer: B
The radius of a wheel is 22.4 cm. What is the distance covered by the wheel in making 500 resolutions?	Choose the most appropriate option
A) 277 m  B) 704 m  C) 278 m  D) 288 m  E) 378V

Solution: In one resolution, the distance covered by the wheel is its own circumference. Distance covered in 500 resolutions.   = 500 * 2 * 22/7 * 22.4= 
500 * 2 * 22/7 * 22.4 = 70_400
70400 cm= 704 m   Answer: 704 m
Answer: B
The average age of husband, wife and their child 3 years ago was 24 years and that of wife and the child 5 years ago was 20 years. The present age of the husband is Choose the correct choice from the following
A) 31 years	B) 40 years	C) 50 years	D) 55 years	E) None

Solution: Solution   Sum of the present ages of husband, wife and child	= (24x3+3x3) years   = 81 years.   Sum of the present ages of wife and child	= (20x2+5x2) years   = 50 years.   âˆ´ Husband's present age	= (81 - 50)= 
(81 - 50) = 31
31 years.   31 yearsnswer 31 years
Answer: A
In a store there is a number of people, out of which 1/30 are children, 1/6 are women and the remaining 120 are men. How many children are in the store? Choose the correct choice from the following answers
A) 50  B) 120  C) 150  D) 5  E) 25

Solution: Let x be the number of people in the store.   x/30+x/6=6x/30=x/5 is the number of children and women   The number of men is x-x/5=4x/5, that is 4x/5=120. Thus, x=150.   The number of children is   1/30*150= 
  1/30*150 = 5
5.   Answer 5 5.
Answer: D
An article is bought for Rs.1450 and sold for Rs.1420, find the loss percent?	Choose the correct answer.
A) 2%  B) 4%  C) 6%  D) 8%  E) 12%

Solution: 1450 ---- 30   100 ---- ? => 2%   2%nswer:2%
Answer: A
If the LCM of 9, 7, 2, and q is 504, which of the following could be q? Options.
A) 7  B) 8  C) 6  D) 9  E) 5

Solution: Using elimination method, eliminate the option to arrive at 8   if x is replaced by 8 and the LCM is calculated you arrive at 504   8
Answer: B