MU-NLPC/Calc-aqua_rat huggingface dataset:
A pet groomer has 7 animals to groom for the day (2 cats and 5 dogs). If she randomly selects 4 animals to groom before lunch, what is the probability she will finish all the cats before lunch?
Choose the correct choice from the following options
A) 3/7 B) 2/7 C) 12/13 D) 5/11 E) 4/7

Solution: Combination Probability Formula: nCr = n!/[r!(n-r)!]   Total possible, select 4 animals from 7 animals = 7C4 = 7!/[4!(7 - 4)!] = 35.   To finish all 2 cats there must be 2 dogs, select 2 dogs from 5 = 5C2 = 10.   And, select 2 cats from 2 = 2C2 = 1.   2 cats and 2 dogs = (1)(10) = 10   Probability = (number outcomes favorable)/(total number outcomes) = 10/735 = 2/7   Answer: 2/7
Answer: B
A river 5m deep and 19 m wide is flowing at the rate of 4 kmph the amount of water that runs into the sea per minute is?
Choose the correct choice from the following answers.
A) 4500 B) 6333 C) 6576 D) 6345 E) 2882

Solution: (4000 * 5 * 19)/60   = 6333 M3   Answer:6333
Answer: B
At a certain supplier, a machine of type A costs $20,000 and a machine of type B costs $50,000. Each machine can be purchased by making a 20 percent down payment and repaying the remainder of the cost and the finance charges over a period of time. If the finance charges are equal to 40 percent of the remainder of the cost, how much less would 2 machines of type A cost than 1 machine of type B under this arrangement?  Choose the correct choice from the following options:
A) $10,000	B) $11,200	C) $12,000	D) $12,800	E) $13,200

Solution: 1 machine of type B will cost: 20% down payment of 50,000 = 10,000 plus remaining sum (50,000-10,000=40,000) with 40% of finance charges 40,000*1.4=56,000 --> 10,000+56,000=66,000;   2 machine of type A will cost: 20% down payment of 2*20,000 = 8,000 plus remaining sum (40,000-8,000=32,000) with 40% of finance charges 32,000*1.4=44,800 --> 8,000+44,800=52,800;   Difference = 66,000 - 52,800 = 13,200.   Answer: $13,200.
Answer: E
What is the are of an equilateral triangle of side 10 cm?	Choose the correct option:
A) 25√3
B) 20√3
C) 15√3
D) 30√3
E) 35√3

Solution: 25√3rea of an equilateral triangle = √3/4 S2   If S = 10, 25√3rea of triangle = √3/4 * 10 * 10   = 25√3 cm2;   25√3nswer:25√3
Answer: A
Two trains are traveling from point A to point B such that the speed of first train is 65 kmph and the speed of 2 train is 29 kmph. Where is the distance b/w A and B such that the slower train reached 5 hrs late compared to the faster?
Choices:  A) 3  B) 65  C) 9  D) 5  E) 31

Solution: Answer:65
Answer: B
If m is the average (arithmetic mean) of the first 10 positive multiples of 3 and if M is the median of the first 10 positive multiples of 3, what is the value of M – m ?  Choose the correct choice
A) –5 B) 5 C) 0 D) 25 E) 27.5

Solution: The first 10 positive multiples of 3 is an evenly spaced set. One of the most important properties of evenly spaced set (aka arithmetic progression) is:in any evenly spaced set the arithmetic mean (average) is equal to the median.   Hence M=m --> M-m=0.   Answer: 0.
Answer: C
Two boys starting from the same place walk at a rate of 5kmph and 5.5kmph respectively. What time will they take to be 8.5km apart, if they walk in the same direction?  Select the correct option:
A) 15 hours
B) 16hours
C) 17 hours
D) 18 hours
E) None of these

Solution: Explanation:   In this type of questions we need to get the relative speed between them,   The relative speed of the boys = 5.5kmph – 5kmph   = 0.5 kmph   Distance between them is 8.5 km   Time = Distance/Speed   Time= 8.5km / 0.5 kmph = 17 hrs   Answer: 17 hours
Answer: C
If 625^(-x) + 25^(-2x) + 5^(-4x) = 10, what is the value of x?  Select the correct option
A) -4  B) -1/4  C) 0  D) 1/4  E) 4

Solution: We're told that 625^(-X) + 25^(-2X) + 5^(-4X) = 15. We're asked for the value of X.   Since each of the calculated terms MUST be positive (regardless of what the exponent is), we can use thebasesto our advantage.....   With Answer A, we'd have 625^4, which is MUCH BIGGER than 15 (and we'd be adding to that big number). Eliminate A.   With Answer E, we'd have 625^(-4), which would create a TINY fraction (and we'd add some other fractions to it, so the total would be MUCH TOO SMALL). Eliminate E.   With Answer D, we'd have 625^(-1/4), which will also be a fraction (just not as tiny as the one in answer E), but the total would still be TOO SMALL. Eliminate D.   With Answer C, anything to the '0 power' is 1, so we'd have   1+1+1= 
  1+1+1 = 3
3. This is not 15. Eliminate C.   0
Answer: C
A lemonade stand sold only small and large cups of lemonade on Tuesday. 3/5 of the cups sold were small and the rest were large. If the large cups were sold for 9/8 as much as the small cups, what fraction of Tuesday's total revenue was from the sale of large cups? Pick
A) (a) 7/16	B) (b) 7/15	C) (c) 10/21	D) (d) 17/35	E) (e) 3/7

Solution: A simpler way i guess would be to think that in total 5 cups were sold. Out of which 3 are small and 2 are large. Now let the small ones cost $8. so the large ones would cost $9.   So,   3*8= 
3*8 = 24
24 and   2*9= 
  2*9 = 18
18.   Total revenue was 24+18= 
24+18 = 42
42   and Large cup sales as found above is 18   Therefore answer is 18/42 i.e 3/7   (e) 3/7
Answer: E
If a new town has 200 residents, and the population doubles every 10 years, what will be its population after 75 years?  Choose the correct choice:
A) 6034 residents
B) 9051 residents
C) 12068 residents
D) 36204 residents
E) 18102 residents

Solution: 200*2^(75/10)=100*2^7.5=200*181.02= 
200*181.02 = 36_204
36204   The answer is 36204 residents.
Answer: D
Susan weighs 7 pounds more than Anna does, and together they weigh a total of 127 pounds. Which of the following represents Anna’s weight in pounds?  Choose the correct choice from the following.
A) 55  B) 58  C) 62  D) 63  E) 60

Solution: Total weight = 127   Anna's weight = 127-7 /2 = 60   Answer : 60
Answer: E
Jim drove 923 miles of a 1200 miles journey. How many more miles does he need to drive to finish his journey? Answers.
A) 113 miles B) 277 miles C) 456miles D) 887 miles E) 767 miles

Solution: The number of miles to drive to finish his journey is given by   1200 - 923= 
1200 - 923 = 277
277 miles   correct answer 277 miles
Answer: B
An uneducated retailer marks all his goods at 65% above the cost price and thinking that he will still make 25% profit, offers a discount of 25% on the marked price. What is his actual profit on the sales?	Choose the correct choice from the following
A) 12.50 %	B) 13.50 %	C) 14 %	D) 23.75%	E) None

Solution: Sol.   Let C.P. = Rs. 100. Then, marked price = Rs. 165.   S.P. = 75% of Rs. 165 = Rs. 123.75.   ∴ Gain% = 23.75%.   Answer 23.75%
Answer: D
Sarah operated her lemonade stand Monday through Friday over a two week period and made a total profit of 210 dollars. On hot days she sold cups of lemonade for a price that was 25 percent higher than the regular days. Each cup she sold had a total cost of 75 cents and Sarah did not incur any other costs. If every day she sold exactly 32 cups and 3 of the days were hot, then what was the price of 1 cup on a hot day?	Choose the correct choice
A) $ 1.50
B) $ 1.64
C) $ 2.25
D) $ 2.50
E) $ 3.25

Solution: 7 regular days --> sales = 7*32*x = 224x;   3 hot days --> sales = 3*32*(1.25x) = 120x;   Total sales 3*32*(1.25 )= 
3*32*(1.25 ) = 120
120x;   Total sales= 224x+120x = 344x.   Total cost 224 +120= 
224 +120 = 344
344x.   Total cost= 10*32*0.75= 
10*32*0.75 = 240
240.   Profit= 344x - 240 = 210 --> x=1.308.   1.25x=~1.64.   Answer: $ 1.64.
Answer: B
A man gains 10% by selling an article for a certain price. If he sells it at double the price, the percentage of profit will be. Choose the correct choice from the following answers.
A) 130%  B) 120%  C) 150%  D) 160%  E) 170%

Solution: Explanation:   Let the C.P. = x,   Then S.P. = (110/100)x = 11x/10   New S.P. = 2(11x/10) = 22x/10   Profit = 22x/10 - x = 12x/10   Profit% = (Profit/C.P.) * 100   => (12x/10) * (1/x) * 100 = 120 %   Option 120%
Answer: B
How many odd prime numbers are there less than 150? Choose the correct choice.
A) 24
B) 34
C) 44
D) 54
E) 64

Solution: Odd prime number less than 150:3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97, 101, 103, 107, 109, 113, 127, 131, 137, 139, 149   There is 34 the odd prime number   Answer is 34
Answer: B
A can run 4 times as fast as B and gives B a start of 69 m. How long should the race course be so that A and B might reach in the same time?  Choose the correct choice from the following:
A) 70 m
B) 60 m
C) 80 m
D) 65 m
E) 92 m

Solution: Speed of A:Speed of B=4:1   means in a race of 4m A gains 3m.   then in a race of 69m he gains 69*(4/3)   I.e 92m   ANSW92 mR:92 m
Answer: E
On dividing a number by 5, we get 2 as quotient and 0 as remainder. On dividing the same number by 4, what will be the remainder?  Choose the correct option:  A) 0  B) 1  C) 2  D) 3  E) 4

Solution: Number = 5 * 2 + 0= 
5 * 2 + 0 = 10
10   4) 10(2   8   --------   2   Required number= 2.   ANSWER:2
Answer: C
On 8th Feb,2005 it was Tuesday.What was the day of the week on 8th Feb,2004 ?
Choose the correct answer:
A) Tuesday
B) Monday
C) Sunday
D) Wednesday
E) None of these

Solution: The year 2004 is a leap year. It has 2 odd days.   The day on 8th Feb, 2004 is 2 days before the day on 8th Feb, 2005.   Hence, this day is Sunday. Option Sunday
Answer: C
A person lent a certain sum of money at 4% per annum at simple interest and in 8 years the interest amounted to Rs.340 less than the sum lent. What was the sum lent?  Choose one.
A) 228 B) 279 C) 280 D) 500 E) 288

Solution: P - 340 = (P*4*8)/100   P = 500   Answer: 500
Answer: D
In a certain book club, the members are voting between two books – a mystery novel and a biography – to decide which book the group will read next. There are 2 times as many votes for the mystery novel as there are votes for the biography. The ratio of biography votes to the mystery votes is
Choose the correct option
A) 3 to 2  B) 1 to 3  C) 1 to 4  D) 2 to 3  E) 1 to 2

Solution: IMO : Answer 1 to 2 1 to 4
Answer: E
A certain bridge is 3,124 feet long. Approximately how many minutes does it take to cross this bridge at a constant speed of 5 miles per hour? (1 mile = 5,280 feet)	Select the correct option:
A) 1
B) 2
C) 4
D) 6
E) 7

Solution: Distance: 3124 feet. This is (3124/5280) miles = 0.59 miles   Speed: 5 miles per hour   Time: (Distance / Speed) (0.59/5) {This will come in Hours}. Multiply by 60 to get answer in minutes. It is 7.08 minutes.   Answer to be 7 minutes.   ANS 7
Answer: E
Peter invests a sum of money and gets back an amount of $ 815 in 3 years . David invests an equal amount of money and gets an amount of $854 in 4 years. If both amounts were invested at the same rate (simple interest ) What was the sum of money invested ? Choose one
A) 670	B) 664	C) 698	D) 744	E) 700

Solution: Since both Peter and David invested the same amount of money at the same rate, they would earn same interest per year.   David invested for one year more than Peter and hence he got interest amount for one more year.   Interest earned per year = Amount received by David - Amount received by Peter = 854 - 815= 
854 - 815 = 39
39   Interest earned for 3 years= 39*3= 
39*3 = 117
117   Amount invested= 815 - 117= 
815 - 117 = 698
698   Answer: 698
Answer: C
P is four times as old as Q, and Q is four years older than R. If R is z years old, what is P’s age in terms of z?  Pick one.
A) 4z + 16  B) 4z + 4  C) (z+4) / 4  D) 4z - 4  E) 4z - 16

Solution: P = 4Q   Q = R+4 = z+4= 
+4 = 4
4(z+4)= 4z + 16   The answer is 4z + 16.
Answer: A
Each person who attended a company meeting was either a stockholder in the company, an employee of the company or both. If 62 percent of these who attended the meeting were stockholders and 47 percent were employees. What percent were stockholders, who were not employees?	Choices
A) 52	B) 53	C) 54	D) 55	E) 56

Solution: 100 = 62 + 47 - n(SnE) [where n represents intersection]   => n(SnE) = 9   => Number who were only stockholders = n(S) - n(SnE) = 53 percent   Option (53)
Answer: B
In a phase III clinical trial of Dosaxin, a new drug, patients received a progressively growing dosage of Dosaxin for a few days. On the first day, each patient received 15 milligrams of Dosaxin. On each of the following days, the daily dosage was m milligrams greater than the dosage received the day before, reaching a dosage of 43 milligram on the last day of the trial. For how many days did the trial last, if each patient received a total amount of 145 milligrams of Dosaxin during the whole trial ?  Pick: A) 4 B) 5 C) 6 D) 7 E) 9

Solution: Its an arithmetic sequence where the first term is 15 and the last term is given as 43. We are also given the sum of the series as 145.   Sum of series = n*(a + l)/2   145 = n(15+43)/2   Solving for n, we get n = 5   Option 5
Answer: B
If n is a positive integer, which one of the following numbers must have a remainder of 1 when
divided by any of the numbers 4, 5, and 6?
Choose the most appropriate option.
A) 12n + 1	B) 24n + 1	C) 80n + 1	D) 90n + 1	E) 120n + 1

Solution: The numbers 4, 5, and 6 all divide 120 so they all divide 120n.   When we divide (120n + 1) by 4, 5, or 6, the remainder must be 1.   The answer is 120n + 1.
Answer: E
R-R-G-G-Y-Y-B-R-R-G-G-Y-Y-B… B-R-R
The preceding is a representation of the different colored beads on a string. The beads follow a repeating pattern and the colors Red, Green, Yellow, and Blue are represented by R, G, Y, and B respectively. Which of the following is a possible number of beads in the missing section of the string represented above?	Choose the correct choice from the following answers:
A) 65	B) 66	C) 67	D) 68	E) 69

Solution: The repeated pattern R-R-G-G-Y-Y-B has 7 beads.   But the missing section includes R-R-G-G-Y-Y at the end.   Thus the number of beads in the missing section has the form 7k + 6.   The answer is 69.
Answer: E
David buys 100 shares of par value Rs. 8 each, of a company, which pays an annual dividend of 12% at such a price that he gets 10% on his investment. Find the market value of a share. Choose the correct choice from the following answers
A) 2 B) 4 C) 5 D) 6 E) 9.6

Solution: Face value of each share = Rs.8   Total dividend received by David = 100Ã—8Ã—12/100 = Rs.96   Let market value of 100 shares = Rs.x   xÃ—10/100=96   x = 960   ie, Market value of 100 shares = Rs.960   Hence, Market value of each share = Rs.9.60   Answer is 9.6
Answer: E
A and B enter into partnership with capital as 7:9. At the end of 8 months, A withdraws. If they receive the profits in the ratio of 8:9 find how long B's capital was used? Answers
A) 6 months B) 8 months C) 10 months D) 7 months E) 12 months

Solution: Explanation:   7 * 8 : 9 * x = 8:9 => x= 7   ANSWER IS 7 months
Answer: D
A can finish a work in 4 days and B can do same work in half the time taken by A. then working together, what part of same work they can finish in a day?  Answers
A) 1/4	B) 1/6	C) 1/7	D) 3/4	E) None of these

Solution: Explanation:   Please note in this question, we need to answer part of work for a day rather than complete work. It was worth mentioning here because many do mistake at this point in hurry to solve the question   So lets solve now,   A's 1 day work = 1/4   B's 1 day work = 1/2 [because B take half the time than A]   (A+B)'s one day work =   (1/4+1/2)=3/4   So in one day 3/4 work will be done   Answer: 3/4
Answer: D
There are some pigeons and hares in a zoo. If heads are counted, there are 200. If legs are counted, there are 580. The number of hares in the zoo is?
Choose the correct choice
A) 29
B) 67
C) 90
D) 86
E) 17

Solution: 200*2= 
200*2 = 400
400   580   -----   180   1----2   ?----180= 90   Answer:90
Answer: C
A bag contains 2 red, 3 green and 2 yellow balls. Two balls are drawn at random. What is the probability that none of the balls drawn is yellow? Choose the correct choice from the following answers:  A) 10/15  B) 10  C) 11  D) 10/21  E) 10/23

Solution: Total number of balls = (2 + 3 + 2)= 
(2 + 3 + 2) = 7
7.   Let S be the sample space.   Then, n(S)= Number of ways of drawing 2 balls out of 7   = 7C2 `   = (7 x 6)/(2 x 1)   = 21.   Let E = Event of drawing 2 balls, none of which is yellow.   n(E) = Number of ways of drawing 2 balls out of (2 + 3) balls.   = 5C2   = (5 x 4)/(2 x 1)   = 10.   P(E) = n(E)/n(S) = 10/21   Hence answer is 10/21
Answer: D
Positive integer y is 50 percent of 50 percent of positive integer x, and y percent of x equals 100. What is the value of y?
Choose the correct choice from the following options:	A) 50	B) 100	C) 200	D) 1,000	E) 2,000

Solution: y = 50% of 50% 0f x   = x/4   and   y/100 of x = 100   y /100 *4y =100   y = 50   50nswer - 50
Answer: A
A man walks at a speed of 3 km/hr and runs at a speed of 7 km/hr. How much time will the man require to cover a distance of 10 1/2 km, if he completes half of the distance, i.e., (5 1/4) km on foot and the other half by running?  Select the correct option.
A) 3 1/2 hours
B) 5 1/2 hours
C) 2 1/2 hours
D) 7 1/2 hours
E) 9 1/2 hours

Solution: 2 1/2 hours   Required time = (5 1/4)/3 + (5 1/4)/7 = 2 1/2 hours
Answer: C
the dairy condensed milk has only 20% water while the cow milk has 90% water. How many litres of milkmaid will be obtained from 72 litres of milk?	Choose the correct answer:
A) 7.2l
B) 8.2l
C) 9l
D) 14.4l
E) 15.4l

Solution: milk in 72 liters is7.2l (10%)   now 80% of x=7.2   so answer is 9L   ANSWER:9l
Answer: C
If y ≠ 3 and 2 x/y is a prime integer greater than 2, which of the following must be true?
I. x = y
II. y = 1
III. x and y are prime integers.
Choose the correct answer:	A) None	B) I only	C) II only	D) III only	E) I and II

Solution: Let 2 x/Y = K , Where k is a prime number > 2 ( 3, 5, 7, 11 ...etc)   so 2x = Ky --> ( 3y or 5y or 7y or 11y etc...)   Which implies always X > Y   So answer is (None)
Answer: A
A certain ski shop sells pairs of gloves in 16 different colors. If one pair of each color is dropped in a bag and a store clerk reaches in to draw two individual gloves simultaneously and at random, what is the probability that she draws two gloves of the same color?	Choose the correct choice
A) 1/144	B) 1/31	C) 1/24	D) 1/23	E) 1/12

Solution: there are 16 different colours sothere are 16 pairs of gloves dropped..   first can be any of 32..so 32/32..   second has to be its pair, which will be just one out of remaining 31.. 1/31..   overall prob=32/32*1/31= 1/31..   1/31
Answer: B
Seven years ago the average age of a family of 2 members was 32 years. A child has been born. due to Which the average age of the family is 23 years today. What is the present age of the child?	Choose the correct choice from the following
A) 40years
B) 46years
C) 50years
D) 52years
E) 55years

Solution: Explanation:   Average of the family of two numbers   7 years ago = 32   = (32+ 7) * 2 = 46 years   Average age of the family of three members at present = 23 years   = 23 * 3= 
23 * 3 = 69
69 YEARS   Age of child= 69 - 64= 
69 - 64 = 5
5 years   Answer: Option 46years
Answer: B
You drive to the store at 20 kmph and return by the same route at 30 kmph. Discounting the time spent at the store, what was your average speed ?
Choose the correct choice from the following:
A) 14 kmph	B) 24 kmph	C) 74 kmph	D) 64 kmph	E) 44 kmph

Solution: Explanation:   Average speed=total distance/total time   Let distance to store be K   then, total time =(K/20)+(K/30)=K/12   and, total time =(2K)   so average speed= 2K / (K/12) = 24kmph.   Answer: 24 kmph
Answer: B
cp of 21 articles is equal to sp of 18 articles.find gain or loss %
Choose the correct choice from the following options:
A) 50% B) 25% C) 25/3% D) 3% E) 50/3%

Solution: CP of each article be Rs 1   CP of 18 articles =Rs18 ,sp of 18 articles =Rs 21.   Gain%=[(3/18)*100]%=50/3%   Answer is 50/3%.
Answer: E
A team of 6 cooks is chosen from 8 men and 5 women. The team must have at least 2 men and at least 3 women. How many ways can this team be created? Choose the correct answer
A) 140 B) 320 C) 560 D) 700 E) 840

Solution: Only possible combinations are a team of 2M, 4 W or 3M,3W.   Possible ways to make a team of 2M,4W = 8C2 * 5C4 =28*5= 
28*5 = 140
140   Possible ways to make a team of 3M,3W= 8C3* 5C3 = 56*10= 
56*10 = 560
560   Total possible ways= 140+560= 
140+560 = 700
700   Ans 700
Answer: D
A tradesman by means of his false balance defrauds to the extent of 25%? in buying goods as well as by selling the goods. What percent does he gain on his outlay?  Pick:
A) 44%  B) 48%  C) 56%  D) 45%  E) 34%

Solution: g% = 25 + 25+ (25*25)/100   = 56%   Answer: 56%
Answer: C
How many different arrangements of A, B, C, D, and E are possible ?  Choose the correct choice:
A) 96 B) 48 C) 32 D) 30 E) 120

Solution: So you have A,B,C,D,120   five possible ways to arrange it = 5! = 120   120
Answer: E
Kavin has 8 pairs of shoes; each pair is a different color. If Kavin randomly selects 2 shoes without replacement from the 16 shoes, what is the probability that she will select 2 shoes of the same color?
Choices:
A) 2/5
B) 1/5
C) 1/19
D) 1/15
E) 1/21

Solution: Can be tackled in this way as well: Probability of selecting any 1 out of 16 shoes = 16/16= 
16/16 = 1
1   Probability of selecting the next shoe (out of 15 available) having the same color= 1/15 (as after selecting the 1st one, there is only 1 another shoe left with the same color).   Thus the total probability = 1*1/15=1/15.   1/15 is the correct answer.
Answer: D
Rice weighing 25/4 pounds was divided equally and placed in 4 containers. How many ounces of rice were in each container? (Note that 1 pound = 16 ounces)
Choose the correct choice from the following answers
A) 22 B) 25 C) 28 D) 31 E) 34

Solution: 25/4 ÷ 4 = 25/16 pounds in each container   25/16 pounds * 16 ounces / pound = 25 ounces in each container   The answer is 25.
Answer: B
The diagonals of a rhombus are 16 cm and 20 cm. Find its area?	Choose the correct choice from the following answers
A) 176  B) 186  C) 150  D) 179  E) 160

Solution: 1/2 * 16 * 20= 
1/2 * 16 * 20 = 160
160   Answer:160
Answer: E
If a and b are positive integers and x = 4^a and y = 9^b, which of the following is a possible units digit of xy?  Choices:
A) 1 B) 4 C) 5 D) 7 E) 8

Solution: unit digit of x=4^a will either be 4 or 6 (4 if a is odd and 6 if a is even)   and unit digit of y=9^b will either be 1 or 9 (9 if b is odd and 1 if b is even)   now we have total 4 possible combinations   1) a=odd, b=odd   unit digit=9*4=6   2)a=odd, b=even   unit digit=4*1= 
4*1 = 4
4   3) a=even,b=odd   unit digit=6*9=4   4)a=even, b=even   unit digit=6*1= 
6*1 = 6
6   thus, only two values are possible for the unit digits (4 or 6). out of these values only 4 is mentioned in the given choices. hence answer must be 4.
Answer: B
The average age of husband, wife and their child 3 years ago was 29 years and that of wife and the child 5 years ago was 20 years. The present age of the husband is
Pick
A) 22	B) 46	C) 38	D) 21	E) 11

Solution: Explanation:   Sum of the present ages of husband, wife and child = (29 x 3 + 3 x 3) years = 96 years.   Sum of the present ages of wife and child (20 x 2 + 5 x 2) years = 50 years.   Husband's present age = (96 - 50)= 
(96 - 50) = 46
46 years.   Answer: 46
Answer: B
Reena took a loan of 1300 with simple interest for as many years as the rate of interest. If she paid 325 as interest at the end of the loan period, what was the rate of interest?
Pick one.
A) 3.6 B) 5 C) 25 D) Cannot be determined E) None

Solution: Explanation: Let rate = R% and time = R years.   Then, (1300 x R x R)/100 = 325   13RÂ² = 325   RÂ² = 25   R = 5.   Answer: Option 5
Answer: B
A box contains 3 blue marbles, 4 red, 6 green marbles and 2 yellow marbles. If four marbles are picked at random, what is the probability that none is blue?  Select the correct option.
A) 17/91 B) 33/91 C) 51/91 D) 65/91 E) None of these

Solution: Given that there are three blue marbles, four red marbles, six green marbles and two yellow marbles. When four marbles are picked at random, then the probability that none is blue is = ¹²C₄/¹⁵C₄ = (12 * 11 * 10 * 9)/(15 * 14 * 13 * 12) = 33/91   ANSWER:33/91
Answer: B