MU-NLPC/Calc-aqua_rat huggingface dataset:
Sum of the consequent 7 integers equals 1617. Find the no. of prime numbers in that sequence.	Choices
A) 1	B) 2	C) 3	D) 4	E) 5

Solution: Let the numbers be x, x+1, x+2, x+3, x+4, x+5, x+6   Since their sum equals 1617, we have-   x+(x+1)+(x+2)+(x+3)+(x+4)+(x+5)+(x+6)=1617   7x+21=1617   7x=1596   x=228   Hence the numbers are: 228,229,230,231,234,235,236   Prime Numbers: 229, 231   ANSWER:2
Answer: B
To gain profit, a milkman adds 1.5 litre of water to a certain amount of milk. He sells the adulterated milk at Rs.28 per litre and pure milk costs Rs.36 per litre. Find the amount of milk.
Choose the most appropriate option:
A) 5.25 B) 5.27 C) 5.22 D) 5.21 E) 5.29

Solution: Explanation:   Let the amount of milk be x.   36x = 28(x + 1.5)   36x = 28x + 42   8x = 42   x = 5.25 litres   5.25NSWER:5.25
Answer: A
How many pieces of 85 cm length can be cut from a rod of 25.5 meters long?	Choices.
A) 50  B) 40  C) 30  D) 20  E) 10

Solution: Number of pieces = 2550/85= 
2550/85 = 30
30   The answer is 30.
Answer: C
Matt and Peter can do together a piece of work in 24 days. After they have worked together for 12 days Matt stops and Peter completes the remaining work in 10 days. In how many days Peter complete the work separately.
Choices.
A) 24  B) 25  C) 26  D) 27  E) 28

Solution: Together they complete the job in 24 days means they complete 12/24 of the job after 12 days.   Peter completes the remaining (12/24) of the job in 10 days which means that the whole job(1) can be completed in X days.   X=12/(12/24)= 
12/(12/24) = 24
24   24
Answer: A
The tank contains 16 Fishes. 5 of the fishes are shark, 6 are jelly fishes, and 5 are gold fishes. If two fishes are randomly selected from the tank, one after the other, what is the probability that both will be jelly fishes?  Select the correct option.
A) 2/8  B) 1/8  C) 1/6  D) 2/7  E) 8/7

Solution: Probability of getting the first Jelly Fish - 6/16   Probability of getting the second Jelly Fish - 5/15   total probability = 6/16*5/15 = 1/8   correct option 1/8
Answer: B
P can do a work in 15days and Q cando the same work in 20 days. If they can work together for 4 days, what is the fraction of work left?	Choose the correct choice from the following answers
A) 6/15  B) 7/13  C) 8/15  D) 9/17  E) 2/13

Solution: Amount of work P can do in 1 day = 1/15   Amount of work Q can do in 1 day = 1/20   Amount of work P and Q can do in 1 day = 1/15 + 1/20 = 7/60   Amount of work P and Q can together do in 4 days = 4 × (7/60) = 7/15   Fraction of work left = 1 – 7/15= 8/15   8/15
Answer: C
A can do a piece of work in 4 days. B can do it in 5 days. With the assistance of C they completed the work in 2 days. Find in how many days can C alone do it?  Choose the correct option.
A) 22
B) 20
C) 288
D) 277
E) 12

Solution: C = 1/2 - 1/4 - 1/5 = 1/20 => 20 days   Answer: 20
Answer: B
If f(a)=2a+6, what is the value of (f(2a)+f(a)) ? Choose the correct choice from the following:  A) 2a-4  B) 8a-7  C) 9a+5  D) 6a+12  E) 3a+5

Solution: f(a)=2a+6   f(2a)= 4a+6   (f(2a)+f(a)) = 4a+6+2a+6 = 6a+12   Answer is 6a+12
Answer: D
Two dishonest shop-owners mix water to milk before selling it in the market. The first shop-owner mixes
water to milk in the ratio 2 : 1 and second shop-owner mixes water to milk in the ratio 3 : 1. Now if both
of them sell the milk at their cost price of $.60 and $.80 respectively, then from which shop-owner should the customer purchase the milk to get the maximum quantity of pure milk per $ paid? Answers:
A) 1st milkman
B) 2nd milkman
C) Any one
D) Data Inadequate
E) none of above

Solution: Milkman 1 ratio of W:M = 2:1   hence milk = 1/3*0.6= 
1/3*0.6 = 0.2
0.2= 33.33%   Milkman 2 W:M = 3:1   milk = 1/4*0.8= 
1/4*0.8 = 0.2
0.2= 16.666%   Hence 1st milkman.
Answer: A
Two trains 140 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:
A) 10.6 sec B) 18.8 sec C) 14.8 sec D) 10.8 sec E) 11.8 sec

Solution: Relative speed = 60 + 40= 
60 + 40 = 100
100 km/hr.= 100 * 5/18 = 250/9 m/sec.   Distance covered in crossing each other = 140 + 160= 
140 + 160 = 300
300 m.   Required time= 300 * 9/250 = 54/5= 
54/5 = 54/5 = around 10.8
10.8 sec.   Answer: 10.8 sec
Answer: D
21 goats eat as much as 15 cows. How many goats eat as much as 35 cows?
Choose the correct choice from the following options:
A) 49
B) 32
C) 36
D) 41
E) 45

Solution: Explanation:   15 cows ≡ 21 goats   1 cow ≡ 21/15 goats   35 cows ≡ 21×35/15 goats   ≡ 21×7/3 goats   ≡ 7 × 7 goats   ≡ 49 goats   49nswer: Option 49
Answer: A
A money lender finds that due to a fall in the annual rate of interest from 8% to 7 2/5 % his yearly income diminishes by Rs.61.50. his capital is  Choices:	A) 223.78	B) 37.78	C) 246.0	D) 278.88	E) 102.5

Solution: 102.5xplanation:   Capital = Rs.x , then   3/5x =61.5   x = 102.50   Answer: 102.5) Rs.102.50
Answer: E
How many words can be formed by using all letters of the word ‘RIO’ ?	Choose the correct choice from the following: A) 6 B) 7 C) 8 D) 9 E) 10

Solution: Solution   The word RIO contains 3 different letters.   Required number of words = 3P3 = 3 ! = (3 x 2 x 1) = 6   6nswer 6
Answer: A
What is the twenty-third decimal to the right in the fraction 23/24?	Choose the correct choice from the following options:
A) 1 B) 2 C) 3 D) 4 E) 5

Solution: Multiply the numerator with 10, which gives   => 230/24 = 115/12 = 9.58333..   This shows that the number 3 is repeating and hence the 23rd decimal.   You may divide the result with 10, yielding 0.983333.., which is the correct result for 23/24.   1NSWER:1
Answer: A
What will be the ratio of simple interest earned by certain amount at the same rate of interest for 3 years and that for 9 years?  Choose the correct option
A) 1 : 3
B) 2 : 3
C) 1 : 2
D) 3 : 2
E) 1 : 4

Solution: Let the principal be P and rate of interest be R%.   Required ratio =   (P x R x 3)/100 DIVIDED BY	(P x R x 9)/100   =	3PR/9PR	=	3/9	= 1 : 3.   1 : 3NSWER : 1 : 3
Answer: A
for which value of n, 4^85+2^3373+4^n will be the perfect square ??  Choose the correct option.
A) 1878	B) 1978	C) 1578	D) 2578	E) 3287

Solution: given expression is in the form of a^2+2ab+b^2   4^85=2^2(85)   4^n=2^2n   2^3373=2*2^85*2^n   3373=85+1+n   n=3373-86= 
3373-86 = 3_287
3287   ANSW3287R:3287
Answer: E
A driver goes on a trip of 60 kilometers, the first 30 kilometers at 48 kilometers per hour and the remaining distance at 24 kilometers per hour. What is the average speed of the entire trip in kilometers per hour?
Choose the correct choice:  A) 30  B) 32  C) 36  D) 40  E) 42

Solution: The time for the first part of the trip was 30/48 = 5/8 hours.   The time for the second part of the trip was 30/24 = 5/4 hours.   The total time fro the trip was 5/8 + 5/4 = 15/8 hours.   The average speed for the trip was   60 / (15/8)= 
  60 / (15/8) = 32
32 kph   The answer is 32.
Answer: B
Eight cards numbered from 1 to 8 are placed in an empty bowl. First one card is drawn and then put back into the bowl, and then a second card is drawn. If the cards are drawn at random and if the sum of the numbers on the cards is 10, what is the probability that one of the two cards drawn is numbered 4?  Choose the correct choice from the following answers.
A) 1/5 B) 2/5 C) 1/7 D) 2/7 E) 3/7

Solution: There are 7 ways to get a total sum of 10.   2 of these ways include the number 4.   The probability that one of the cards is a 4 is 2/7   The answer is 2/7.
Answer: D
A train passes a station platform in 32 seconds and a man standing on the platform in 20 seconds. If the speed of the train is 54 km/hr, what is the length of the platform? Choose the correct choice from the following answers:
A) 123  B) 166  C) 240  D) 157  E) 180

Solution: Speed = [54 * 5/18] m/sec = 15 m/sec.   Length of the train = (15 * 20)= 
(15 * 20) = 300
300 m.   Let the length of the platform be x meters.   Then, (x + 300) / 32= 15   x + 300 = 480   x = 180 m.   Answer: 180
Answer: E
8k8
+ k88
--------
1,6e6
If k and e represent non-zero digits within the integers above, what is e?
Choose the correct choice from the following choices:
A) 6  B) 7  C) 8  D) 9  E) 17

Solution: 8k8   k88   --------   16e6   Trial and error or just plug-in method might be the shortest way to solve this problem. Though you can narrow down the possible values of k to just two: 7 and 8 --> 8**+7**=16** or 8**+8**=16** (k can not be less than 7 or 9, as the result won't be 16**). After that it's easy to get that k=7 and e=6.   6nswer: 6.
Answer: A
in a bus left side are 15 seats available,3 few seats in right side because in rear exit door .Each seat hold 3 people.In addition ,there is a seat back can sit 7 people all together .how many people can sit in a bus? Choose one:
A) 52	B) 49	C) 95	D) 88	E) 66

Solution: Right Side =15 seat   Left Side =15-3 (3 few seat in right side)= 12 seat   Total= 15+12= 
15+12 = 27
27   People can seat in 27 seat= 27*3= 
27*3 = 81
81   People can seat in Last Seat= 7   Total People can seat= 81+7= 
81+7 = 88
88   ANSWER:88
Answer: D
Two taps can separately fill a cistern 10 minutes and 15 minutes respectively and when the waste pipe is open, they can together fill it in 24 minutes. The waste pipe can empty the full cistern in?	Choices.
A) 8 min
B) 7 min
C) 6 min
D) 9 min
E) 4 min

Solution: 1/10 + 1/15 - 1/x   = 1/24   x = 8   Answer: 6 min
Answer: C
How many seconds will a 500 m long train take to cross a man walking with a speed of 3 km/hr in the direction of the moving train if the speed of the train is 63 km/hr?  Pick one: A) 30 B) 77 C) 25 D) 27 E) 12

Solution: Speed of train relative to man = 63 - 3= 
63 - 3 = 60
60 km/hr.= 60 * 5/18 = 50/3 m/sec.   Time taken to pass the man = 500 * 3/50= 
500 * 3/50 = 30
30 sec.   30nswer: 30
Answer: A
The current of a stream runs at the rate of 4 kmph. A boat goes 6 km and back to the starting point in 2 hours, then find the speed of the boat in still water?	Options.
A) 6
B) 5
C) 8
D) 9
E) 4

Solution: S = 4   M = x   DS = x + 4   US = x - 4   6/(x + 4) + 6/(x - 4) = 2   x = 8.Answer: 8
Answer: C
If p is even and q is odd, which of the following is odd? Choose the most appropriate option:
A) pq  B) 5pq  C) 6(p^2)q  D) 5p + 6q  E) 6p + 5q

Solution: Just checking options (In case you have difficulty then choose values of r=2 and t=1)   p = even   q= Odd   A. pq = Even*Odd = EvenINCORRECT   B. 5pq = Odd*Even*Odd = EvenINCORRECT   C. 6(pr^2)q = 6*(Even^2)*Odd = EvenINCORRECT   D. 5p + 6q = 5*Even + 6*Odd = Even+Even = EvenINCORRECT   E. 6p + 5q = 6*6p + 5qven + 5*Odd = 6p + 5qven+Odd = OddCORR6p + 5qCT   Answer: option 6p + 5q
Answer: E
If x and y are positive integers and 20x=10y what is the least possible value of xy?
Choose the correct choice from the following choices.
A) 14 B) 28 C) 63 D) 84 E) 100

Solution: 20x=10y   => x/y = 1/2   => 2x=y   2(3)=1(3) => x*y=9 But it is not given   2(10)=1(10) => x*y=100   100
Answer: E
A hat vendor bought hats at Rs 5 per 3 hats. He sold them at Rs 10 per 4 hats. What was his profit percentage? Choose the correct choice from the following choices:
A) 50	B) 88	C) 77	D) 88	E) 11

Solution: Selling price per hat = 10/4   Profit percentage = (S.P – C.P / C.P) x 100   Substituting the above SP and CP we get 50%.   50nswer:50
Answer: A
A man is 32 years older than his son. In six years, his age will be twice the age of his son. The present age of this son is
Choose the correct choice from the following options:
A) 26 years  B) 27 years  C) 28 years  D) 29 years  E) 30 years

Solution: Explanation:   Let's Son age is x, then Father age is x+32.   => 2(x+6) = (x+32+6)   => 2x+12 = x+38   => x = 26 years   26 yearsnswer: Option 26 years
Answer: A
A reduction of 15% in the price of oil enables a house wife to obtain 4kgs more for Rs.1200, what is the reduced price for kg?	Answers.
A) 43
B) 55
C) 35
D) 45
E) 40

Solution: 1200*(15/100)= 
1200*(15/100) = 180
180 ---- 4   ? ---- 1=> Rs.45   Answer:45
Answer: D
How many positive integers less than 255 are multiple of 4 but NOT multiples of 6?
Choose the correct choice from the following answers:  A) 20  B) 31  C) 42  D) 43  E) 64

Solution: From here, it might be easier to go up in bounds of 60, so we know that 61-120 gives 10 more numbers. 121-180 and 181-240 as well. This brings us up to 240 with 40 numbers. A cursory glance at the answer choices should confirm that it must be 42, as all the other choices are very far away. The numbers 244 and 248 will come and complete the list that’s (naughty or nice) under 250. Answer choice 43 is correct here.
Answer: D
Rice weighing 3power3/4 pounds was divided equally and placed in 4 containers. how many ounces of rice were in each?
Pick:
A) 15 ounces
B) 25 ounces
C) 12 ounces
D) 22 ounces
E) 35 ounces

Solution: 3power3/4 / 4 pounds, = (4x3+3)/4 ponds. = (15/4) /4 ponds. = (15/4) / (1/4) ponds. = 15/16 pounds. 1 pound = 16 ounces. therefore, 15/16 pounds = 15/16*16= 
15/16*16 = 15
15 ounces. Correct answer : (15 ounces)
Answer: A
Without stoppages a train travels a certain distance with an average speed of 80 kmph and with stoppages it covers the same distance with an average speed of 40 kmph. What is the time in minutes per hour for which train stops? Choose one:
A) 26 min/hr
B) 30 min/hr
C) 32 min/hr
D) 45 min/hr
E) 12 min/hr

Solution: Pick a smart number for the distance. lets say LCM 80   Without = 80/80= 
80/80 = 1
1 hours   With= 80/40= 
80/40 = 2
2 hours   So in a trip of 2 hours, 1 hour is spent in stoppages   Hence, 60/2= 30 min/hr on stoppages   Answer : 30 min/hr
Answer: B
One half of a two digit number exceeds its one third by 6. What is the sum of the digits of the number?
Pick one
A) 4
B) 6
C) 0
D) 9
E) 19

Solution: Answer: Option 9   x/2 â€“ x/3 = 6 => x =6   3 + 6= 
3 + 6 = 9
9
Answer: D
A father was as old as his son's present at the time of your birth. If the father's age is 38 years now, the son's age one years back was?  Options:
A) 10 years
B) 12 years
C) 14 years
D) 16 years
E) 18 years

Solution: Let the son's present age be x years. Then, (38 - x) = x   2x = 38.   x = 19.   Son's age 1 years back (19 - 1)= 
(19 - 1) = 18
18 years.   18 years
Answer: E
A river boat leaves Silver Town and travels upstream to Gold Town at an average speed of 6 kilometers per hour. It returns by the same route at an average speed of 5 kilometers per hour. What is the average speed for the round-trip in kilometers per hour?  Choose the correct choice from the following choices.
A) 5.5  B) 7.1  C) 7.2  D) 7.0  E) 8.0

Solution: Pick a number which is LCM of 5 and 6 = 30.   Upstream time = 30/6= 
30/6 = 5
5 hrs   Downstream time= 30/5= 
30/5 = 6
6 hrs   Total time= 11 hrs   Total distance = 60   5.5verage Speed = 60/11 = 5.5 km/hr
Answer: A
Determine a man’s present age if his present age is 125% of his age 10 years ago and 83.333% of his age 10 years from now. Select the correct option:
A) 40 years	B) 50 years	C) 60 years	D) 70 years	E) 80 years

Solution: Explanation:   According to the question current age of the man is:   1.	125% of his age 10 years ago   2.	83.333% of his age 10 years from now   Let the current age of the man be x.   Therefore, equating the two equations generated:   125/100(x-10) = 250/3(x+10)   x = 50   ANSWER 50 years
Answer: B
A boat can travel with a speed of 40km/hr in still water. If the speed of the stream is 5km/hr, find the time taken by the boat to go 45km downstream.	Select:
A) 1 hr  B) 2 hrs  C) 3 hrs  D) 4 hrs  E) 5 hrs

Solution: Speed downstream = (40 + 5) km/hr = 45 km/hr.   Time taken to travel 45 km downstream = 45/45= 
45/45 = 1
1 hrs.   1 hrnswer : 1 hr
Answer: A
The length of the bridge, which a train 130 meters long and travelling at 45 km/hr can cross in 30 seconds, is?  Choose the correct option:
A) 299	B) 278	C) 245	D) 265	E) 123

Solution: Speed = (45 * 5/18) m/sec = (25/2) m/sec. Time = 30 sec. Let the length of bridge be x meters. Then, (130 + X)/30   = 25/2 ==> 2(130 + X)   = 750 ==> X   = 245 m.   Answer:245
Answer: C
Kathy has 34 tokens for the bus. She uses three tokens a week. How
many weeks can Kathy use the bus before she has to buy more tokens? Select the correct option: A) 10 weeks-5 token B) 11 weeks-1 token C) 13 weeks-2 token D) 15 weeks-5 token E) 16 weeks-7 token

Solution: 34/3 =11 R 1 Kathy will use her tokens for 11 weeks and she will have   one token left over.   correct answer 11 weeks-1 token
Answer: B
The average age of 10 members of a committee is the same as it was 4 years ago, because an old member has been replaced by a young member.
Find how much younger is the new member ? Choose the most appropriate option.
A) 35	B) 15	C) 40	D) 52	E) 14

Solution: C   Let the sum of nine member (total) =x   and the age of old one=z   so its average 4 yrs before=(x+z)/10.   after 4 yrs let z be replaced by y.   so now avg=(x+4*10+y)/10   now (x+z)/10=(x+40+y)/10   so after solving it found   z=y+40.   so old person is 40yrs older than young one.
Answer: C
A coin is tossed 4 times. What is the probability z that the number of Heads is equal to the number of Tails?	Pick one.
A) 1/8	B) 1/4	C) 3/8	D) 1/2	E) 9/16

Solution: We have to find the probability that we get 2 heads and 2 tails in 4 tosses of the coin.   Using the binary formula and defining a head as a success,   P(2 heads in 4 tosses) = 43/82* (1/2)^2 * (1/2)^2   = 6/16   z= 3/8   The answer is therefore (3/8)
Answer: C
The captain of a cricket team of 11 members is 26 years old and the wicket keeper is 3 years older. If the ages of these two are excluded, the average age of the remaining players is one year less than the average age of the whole team. What is the average age of the team?
Choose the correct choice:
A) 23 years B) 24 years C) 25 years D) 26 years E) 27 years

Solution: EXPLANATION   Let the average age of the whole team by x years.   11x – (26 + 29) = 9(x -1)   11x – 9x = 46   2x = 46   x = 23.   So, average age of the team is 23 years.   23 yearsnswer 23 years
Answer: A
At what price must an article costing Rs.47.50 be marked in order that after deducting 5% from the list price. It may be sold at a profit of 25% on the cost price?  Choose the correct choice from the following answers:  A) 62.5  B) 62.9  C) 62.8  D) 62.1  E) 62.2

Solution: CP = 47.50   SP = 47.50*(125/100)= 
47.50*(125/100) = 59.375
59.375   MP*(95/100)= 59.375   MP = 62.5   62.5nswer: 62.5
Answer: A
Convert 300 inches into centimeter?  Choose the correct option:
A) 762cm B) 750cm C) 650cm D) 710cm E) 754cm

Solution: 1 inch = 2.54cm   300 inches = 300*2.54= 
300*2.54 = 762
762cm   Answer is 754cm
Answer: E
On a certain Monday, Carlos drove to work at an average speed of 50 miles per hour and home from work along exactly the same route at an average speed of 60 miles per hour. Which of the following is closest to his average speed for both trips combined?	Pick.
A) 54.54	B) 52	C) 53	D) 55	E) 56

Solution: To solve the average speed questions, we need to know the total distance and the total time.   Let us assume that the distance from work = D   This will also be the distance from work to home   Hence total distance travelled = 2D   Time in going to work = D/50,   Time in coming back from work = D/60   Hence average speed of both the trips = 2D/ (D/50 + D/60)   = 2*300/11 = 54.54   54.54
Answer: A
nd the area of trapezium whose parallel sides are 20 cm and 18 cm long, and the distance between them is 15 cm?
Choose the correct answer
A) 766 cm2
B) 535 cm2
C) 285 cm2
D) 324 cm2
E) 235 cm2

Solution: Area of a trapezium = 1/2 (sum of parallel sides) * (perpendicular distance between them)   = 1/2 (20 + 18) * (15)   = 285 cm2   Answer:285 cm2
Answer: C
What could be the range of a set consisting of odd multiples of 11?	Choose one:
A) 21
B) 24
C) 44
D) 62
E) 70

Solution: Range = the difference between the greatest and the smallest numbers in the sequence. Our sequence is odd and is a multiple of 7. Every number in that sequence can be represented like this: 11*(2n+1) where n is any positive integer.   Range = 11*(2m + 1) - 11*(2n + 1) = 11*2*(m-n) = 22 * (m-n).   m, n - any positive integers   The answer must be divisible by 22, which is only 44.   The correct answer is 44
Answer: C
A, B and C started a shop by investing Rs. 2,000, Rs. 6,000 and Rs. 2,000 respectively. At the end of the year, the profits were distributed among them. If Câ€™s share of profit be Rs. 300, then the total profit was :	Select: A) 30,000 B) 60,000 C) 80,000 D) 1500 E) None

Solution: Sol.   A : B : C = 2000 : 6000 : 2000 = 2: 6 : 2. so, Câ€™s share : Total Profit = 2 : 10.   Let the total profit be Rs. x. Then, 2/10 = 36000/x or x   = 300 * 10 / 2= 
300 * 10 / 2 = 1_500
1500   Answer 1500
Answer: D
Ross has 40 shirts, 3/4 of the shirts are green and 1/10 is without buttons. Therefore Ross has between ___ and ___ shirts with buttons that are not green. Choose the correct choice from the following options:
A) 6 ; 10.  B) 4 ; 25.  C) 4 ; 10.  D) 5 ; 25.  E) 3 ; 10.

Solution: Total shirts = 40   Green shirts = 3/4*40= 
3/4*40 = 30
30, Non green shirts= 10   Shirts without button = 1/10*40= 
1/10*40 = 4
4, shirts with button= 36   Required: Range of shirts with buttons that are not green.   Maximum non green shirts with buttons = number of non green shirts = 10   Minimum non green shirts with buttons (6 ; 10.ll without button shirts are non green) = Non green shirts - shirts without button = 10 - 4= 
10 - 4 = 6
6   Hence the range would be (6, 10)   Correct Option: 6 ; 10.
Answer: A
There were two candidates in an election. Winner candidate received 62% of votes and won the election by 312 votes. Find the number of votes casted to the winning candidate?
Choose the most appropriate option: A) 288 B) 744 C) 788 D) 298 E) 806

Solution: W = 62% L = 38%   62% - 38% = 24%   24% -------- 312   62% -------- ?  62  - 38= 
 62  - 38 = 24
24%   24% -------- 312   62% -------- ?=> 806   Answer: 806
Answer: E
Ten women can do a work in six days. Six men can complete the same work in five days. What is the ratio between the capacity of a man and a woman?
Choose the correct choice
A) 1:2 B) 2:1 C) 2:3 D) 3:2 E) None of these

Solution: Explanation:   (10 × 6) women can complete the work in 1 day.   ∴ 1 woman's 1 day's work = 1/60   (6 × 5) men can complete the work in 1 day.   ∴ 1 man's 1 day's work = 1/30   so, required ratio =1/30 : 1/60= 2:1   Answer: 2:1
Answer: B
What is the sum of the different positive prime factors of 320?
Choose the correct answer.
A) 7  B) 10  C) 15  D) 17  E) 21

Solution: Prime factorization of 320   =32 * 10   =8*4 * 10   =2*4 * 2*2 * 2*5   =2* 2*2 * 2*2 * 2*5   =2^6 * 5   Sum of the different positive prime factors of 320 = 2+5= 
2+5 = 7
7   7nswer 7
Answer: A
There are some pigeons and hares in a zoo. If heads are counted, there are 100. If legs are counted, there are 580. The number of hares in the zoo is?
Choose the correct option
A) 210
B) 182
C) 190
D) 137
E) 371

Solution: 100*2= 
100*2 = 200
200   580   -----   380   1----2   ?----380= 190   Answer:190
Answer: C
What annual installment will discharge a debt of Rs. 1176 due in 3 years at 12% simple interest? Pick.
A) 315
B) 350
C) 325
D) 335
E) None of them

Solution: Let each Installment be Rs. x   Then, ( x+ ((x*12*1)/100)) + (x+ ((x*12*2)/100) ) + x = 1176   =((28x/25) + (31x/25) + x) = 1176 ïƒ› (28x+31x+25x)=(1176*25)   x= (1176*25)/84 = Rs.350.   Therefore,	Each installment = Rs. 350.   Answer is 350.
Answer: B
A man has Rs. 480 in the denominations of one-rupee notes, five-rupee notes and ten rupee notes. The number of notes of each denomination is equal. What is the total number of notes that he has?	Options:
A) 45
B) 60
C) 75
D) 90
E) 95

Solution: Let number of notes of each denomination be x.   Then x + 5x + 10x = 480   16x = 480   x = 30.   Hence, total number of notes = 3x = 90   Answer: Option 90
Answer: D
A is three years older than B who is thrice as old as C. If the total of the ages of A, B and C be 27, the how old is B?
Pick:  A) 10 years  B) 12 years  C) 14 years  D) 15 years  E) 8 years

Solution: Let C's age be x years. Then, B's age = 3x years. A's age = (3x + 3) years.   (3x + 3) + 3x + x = 31   7x = 28   x = 4.   Hence, B's age = 2x = 8 years.   8 years)
Answer: E