MU-NLPC/Calc-aqua_rat huggingface dataset:
Source: Knewton
A cyclist's speed varies, depending on the terrain, between 5.0 miles per hour and 14.0 miles per hour, inclusive. What is the maximum distance, in miles, that the cyclist could travel in 7 hours? Choose the correct choice from the following answers.
A) 42
B) 56
C) 70
D) 98
E) 140

Solution: We are told that:generallya cyclist's speed varies, depending on the terrain, between 5.0 miles per hour and 14.0 miles per hour, inclusive. Is it possible the cyclist to travel with maximum speed for some time? Why not, if there is right terrain for that. So, if there is long enough terrain for the maximum speed of 14 mph then the maximum distance, in miles, that the cyclist could travel in 7 hours would be  7*14= 
 7*14 = 98
98 miles.   Answer: 98.
Answer: D
In an examination, 35% candidates failed in one subject and 43% failed in another subject while 15% failed in both the subjects. If 2500 candidates appeared at the end of the examination how many passed in either subject but not in both?	Pick one:	A) 975	B) 1020	C) 1175	D) 1200	E) 1525

Solution: Failed in 1st subject = 35*2500/100= 
35*2500/100 = 875
875   Failed in 2nd subject= 43*2500/100= 
43*2500/100 = 1_075
1075   Failed in both= 15*2500/100= 
15*2500/100 = 375
375   Failed in 1st subject only= 875-375= 
875-375 = 500
500   Failed in 2nd subject only= 1075-375= 
1075-375 = 700
700   Passed in either subject but not in both= 700+500= 
700+500 = 1_200
1200   Answer is 1200
Answer: D
A and B starts a business with Rs.8000 each, and after 8 months, B withdraws half of his capital . How should they share the profits at the end of the 18 months?
Choose the correct choice
A) 18:11
B) 18:13
C) 23:12
D) 11:9
E) 11:10

Solution: A invests Rs.8000 for 18 months, but B invests Rs.8000 for the first 8 months and then withdraws Rs.4000. So, the investment of B for remaining 10 months is Rs.4000 only.   A : 18:13   8000*18 : (8000*8) + (4000*10)   144000 : 104000   A:18:13 = 18:13   ANSWER:18:13
Answer: B
In a kilometer race, A beats B by 50 meters or 20 seconds. What time does A take to complete the race?	Choose the correct choice from the following options.
A) 380 sec  B) 190 sec  C) 726 sec  D) 127 sec  E) 128 sec

Solution: Time taken by B run 1000 meters   = (1000 * 20)/50= 
(1000 * 20)/50 = 400
400 sec.   Time taken by A= 400 - 20= 
400 - 20 = 380
380 sec.   380 secnswer: 380 sec
Answer: A
A train 240 m long passed a pole in 24 sec. How long will it take to pass a platform 650 m long?  Choose the correct choice from the following choices
A) 76 sec
B) 89 sec
C) 16 sec
D) 14 sec
E) 19 sec

Solution: Speed = 240/24= 
240/24 = 10
10 m/sec.   Required time= (240 + 650)/10= 
(240 + 650)/10 = 89
89 sec.   Answer:89 sec
Answer: B
Three numbers are in the ratio 3:5:7. The largest number value is 42. Find difference between Smallest & largest number is?	Select:
A) 24 B) 26 C) 28 D) 30 E) 32

Solution: == 3:5:7   Total parts = 15   = The largest number value is 42   = The largest number is = 7   = Then 7 parts -----> 42 ( 7 * 6 = 42 )   = smallest number = 3 & Largest number = 7   = Difference between smallest number & largest number is = 7 - 3= 
7 - 3 = 4
4= Then 4 parts -----> 24 (4 * 6 = 24)   24
Answer: A
In the xy-coordinate system, line k passes through points (-8m, 0) and (0, 2m). Which of the following is a possible equation of line k?	Choose the correct answer:
A) y = -4x + 2m
B) y = 1/4*x - 8m
C) y = 4x + 2m
D) y = 1/4*x + 2m
E) y = -1/4*x - 8m

Solution: The slope of the line is 2m/8m=1/4.   The y-intercept is 2m.   the equation of the line is: y = 1/4*x +2m   The answer is y = 1/4*x + 2m.
Answer: D
Find the median and mean of the following test scores:
75, 40, 100, 50, 45, 60, 50, 70, 45, 95
Which score falls in between the two scores?
Select.
A) 40 B) 50 C) 60 D) 70 E) 75

Solution: List in order: 40,45,45,50,50,60,70,75,95,100   The median = (the average of two middle terms) = (50 + 60)/2= 
(50 + 60)/2 = 55
55.   The mean= (the sum)/(# of terms) = 630/10= 
630/10 = 63
63.   The Test Score between 55 and 63 is 60.   Answer: 60.
Answer: C
In a certain pond, 20 fish were caught, tagged, and returned to the pond. A few days later, 20 fish were caught again, of which 2 were found to have been tagged. If the percent of tagged fish in the second catch approximates the percent of tagged fish in the pond, what`s the approximate number of fish in the pond?  Pick.
A) 400
B) 625
C) 1250
D) 2500
E) 500

Solution: If x is total number of fish in the pond :   4 = 20/x * 100   => x = 500   So answer is 500
Answer: E
A man sells a horse for Rs.800 and loses something, if he had sold it for Rs.980, his gain would have been double the former loss. Find the cost price of the horse?	Choices
A) 220  B) 240  C) 290  D) 640  E) 860

Solution: CP = SP + 1CP = SP - g   800 + x = 980 - 2x   3x = 180 => x = 60   CP = 800 + 60= 
800 + 60 = 860
860   Answer:860
Answer: E
A, B and C, each working alone can complete a job in 6, 8 and 12 days respectively. If all three of them work together to complete a job and earn $ 4680, what will be A's share of the earnings?	Choose the correct option:
A) $1100
B) $520
C) $2080
D) $1170
E) $630

Solution: Explanatory Answer   A, B and C will share the amount of $4680 in the ratio of the amounts of work done by them.   As A takes 6 days to complete the job, if A works alone, A will be able to complete 1/6 th of the work in a day.   Similarly, B will complete 1/8th and C will complete 1/12th of the work.   So, the ratio of the work done by A : B : C when they work together will be equal to 1/6 : 1/8 : 1/12   Multiplying the numerator of all 3 fractions by 24, the LCM of 6, 8 and 12 will not change the relative values of the three values.   We get 24/6 : 24/8 : 24/12 = 4 : 3 : 2.   i.e., the ratio in which A : B : C will share $4680 will be 4 : 3 : 2.   Hence, A's share will be  4*4680/9= 
 4*4680/9 = 2_080
2080.   correct choice is ($2080)
Answer: C
d.	What will the number XI represent in the below sequence?
1296, 432, 216, 216, 72, 36, 36, 12, 6, 6, XI	Choose the correct choice from the following
A) 0
B) 1
C) 4
D) 3
E) 2

Solution: The sequence progresses Ã·3, Ã·2, Ã·1 repeated; the number XI is 6 Ã·3 = 2.   Ans 2 = 2
Answer: E
How many terms are there in 2, 4, 8, 16,..., 4096?  Choose the correct choice:
A) 14 B) 11 C) 12 D) 10 E) 8

Solution: 2, 4, 8, 16, ..., 4096 is a G.P with a =2   and r =4/2= 
4/2 = 2
2   Let the number of terms be n. Then   2 x 2 ^n-1= 4096   or 2^n-1 = 2048 = 2^11   Thus n - 1 =11   n= 12   ANSWER:12
Answer: C
If the cost price of 50 articles is equal to the selling price of 35 articles, then the gain or loss percent is? Choose the most appropriate option:  A) 16  B) 127  C) 12  D) 18  E) 43

Solution: Percentage of profit = 15/35 * 100 = 43%   Answer: 43
Answer: E
A and B are two multiples of 14, and Q is the set of consecutive integers between A and B, inclusive. If Q contains 9 multiples of 14, how many multiples of 7 are there in Q? Choose one
A) 20  B) 19  C) 18  D) 17  E) 16

Solution: Lets Q's first number be 14   As per question, Q contains 9 multiples of 14 , so let Q's last number be 126. (14∗9)   We have,   a n = a+(n−1)d   Then   126 = 14 + (n-1)7   Solving for n , we get n = 17   ANSWER:17
Answer: D
The length of a rectangle is 3 times its width. If the width of the rectangle is 5 inches, what is the rectangle's area, in square inches? Choose the correct answer:
A) 30 square inches  B) 75 square inches  C) 68 square inches  D) 89 square inches  E) 92 square inches

Solution: If the width is 5 in and the length is 3 times the width, then the length is    3 * 5= 
 3 * 5 = 15
15 in   The area is given by     5 * 15= 
  5 * 15 = 75
75 square inches   correct answer 75 square inches
Answer: B
A speed of 20 metres per second is the same as :	Choose the correct choice.
A) 72 km/hr  B) 66 km/hr  C) 60 km/hr  D) 77.5 km/hr  E) None

Solution: Sol.   20 m/sec = [20 * 18/5] km/hr = 72 km/hr.   72 km/hrnswer 72 km/hr
Answer: A
A vase has 2 dozens of assorted flowers of daisies and roses. If the daisies are twice more than the roses. How many roses are in it?	Choose the correct choice from the following answers
A) 2  B) 4  C) 6  D) 8  E) 16

Solution: Let the daisies be x   Roses is twice more than roses = 2x   x + 2x = 24   3x = 24   X =24/3= 
24/3 = 8
8   Roses is 2x= 2 * 8= 
2 * 8 = 16
16   ANSW16R: 16
Answer: E
If x^4 + y^4 = 1300, then the greatest possible value of x is between:  Choose the correct option:
A) 1 to 2 B) 2 to 3 C) 3 to 4 D) 4 to 5 E) 6 to 7

Solution: The answers to this question provide a great 'hint' as to how to go about solving it; since they're all essentially 'ranges', you can use them to figure out which solution contains the maximum value of X.   We're told that X^4 + Y^4 = 1300. To maximize the value of X, we need to minimize the value of Y^4. The smallest that Y^4 could be is 0 (when Y = 0), so we'll have....   X^4 = 1300   Looking at the answers, it makes sense to see what 6^4 equals....   6^4 = 1296   Since that is BELOW 1300, and 7^4 will clearly be MORE than 1300, we have the correct answer.   Final Answer:   6 to 7
Answer: E
simplify : 3x - 5 + 23x - 9
Choose the correct option:
A) 2(14x-9)
B) 2(13x-7)
C) (14-5x)
D) 2(10-7x)
E) 2x(14-7)

Solution: 3x -5 +23x-9 , = 3x+23x - 5 - 9   = 26x - 14, = 2(13x - 7). correct answer : (2(13x-7))
Answer: B
A tea expert claims that he can easily find out whether milk or tea leaves were added first to water just by tasting the cup of tea. In order to check this claims 10 cups of tea are prepared, 5 in one way and 5 in other. Find the different possible ways of presenting these 10 cups to the expert.  Select
A) 252  B) 240  C) 300  D) 340  E) None

Solution: Solution:   Since, there are 5 cups of each kind, prepared with milk or tea leaves added first, are identical hence, total number of different people ways of presenting the cups to the expert is,   [10!/(5!�5!)]= 252   252nswer: Option 252
Answer: A
A & B started a partnership business. A's investment was thrice the investment of B and the period of his investment was two times the period of investments of B. If B received Rs 7000 as profit , what is their total profit?
Choose the correct choice.
A) 28000
B) 30000
C) 32000
D) 34000
E) 49000

Solution: Explanation :   Suppose B's investment = x. Then A's investment= 3x   Suppose Bs period of investment = y, then A's period of investment = 2y   A : B = 3x * 2y : xy   = 6 : 1   Total profit * 1/7 3  * 2= 
3  * 2 = 6
6 : 1   Total profit * 1/7= 7000   => Total profit = 7000*7= 
7000*7 = 49_000
49000. Answer : Option 49000
Answer: E
A fort of 5000 soldiers has provisions for 125 days. After 25 days some of them left and the food was now enough for the same period of 125 days as before. How many of them left?
Answers:	A) 900	B) 1000	C) 1100	D) 1200	E) 1300

Solution: 2000 ---- 50   5000 ---- 100   x ----- 125   x*125 = 5000*100   x=4000   5000   -------   1000   Answer: 1000
Answer: B
A, B and C enter into a partnership. They invest Rs. 90,000, Rs. 80,000 and Rs. 1,20,000 respectively. At the end of the first year, B withdraws Rs. 40,000, while at the end of the second year, C withdraws Rs. 80,000. In what ratio will the profit be shared at the end of 3 years?
Choose the correct choice from the following:  A) 12 : 3 : 4  B) 23 : 2 : 4  C) 22: 2 : 1  D) 27: 16 : 28  E) none

Solution: Sol.   A : B : C = (40000 * 36) : (80000 * 12 + 40000 * 24)   : (120000 * 24 + 40000 * 12) =324 : 192 : 336 = 27 : 16 : 28   Answer 27: 16 : 28
Answer: D
A boy has 9 trousers and 12 shirts. In how many different ways can he select a trouser and a shirt?	Choose the correct choice from the following.
A) 100
B) 102
C) 104
D) 108
E) 110

Solution: The boy can select one trouser in nine ways.   The boy can select one shirt in 12 ways.   The number of ways in which he can select one trouser and one shirt is   9 * 12= 
  9 * 12 = 108
108 ways.   108
Answer: D
A certain company charges $15 per package to ship packages weighing less than 3 pounds each. For a package weighing 3 pounds or more, the company charges an initial fee of $15 plus $3 per pound. If the company charged $60 to ship a certain package, which of the following was the weight of the package, in pounds?	Pick one.
A) 12 B) 13 C) 20 D) 25 E) 15

Solution: Let the weight of the package be X. Then the cost is 3*X + 15= 60 ---> 3X=45 ---> X=15   Answer : 15
Answer: E
A man’s speed with the current is 19 km/hr and the speed of the current is 2.5 km/hr. the man’s speed against the current is :	Answers:
A) 8.5 km/hr  B) 9.5 km/hr  C) 10 km/hr  D) 14 km/hr  E) None of these

Solution: Solution   Man's rate in still water = (19-2.5) km/hr = 16.5 km/hr.   Man's rate against the current = (16.5-2.5) km/hr = 14 km/hr Answer 14 km/hr
Answer: D
The least number, which when divided by 8, 15, 20 and 54 leaves in each case a remainder of 8 is: Select the correct option
A) 448 B) 488 C) 542 D) 548 E) 1088

Solution: Required number = (L.C.M. of 8, 15, 20, 54) + 8   = 1080 + 8= 
1080 + 8 = 1_088
1088.   answer :1088
Answer: E
If p and y are positive integers such that p > y > 1, what is the remainder when 92p × 5p+y + 11y × 6py is divided by 10? Choices
A) A.0 B) B.1 C) C.3 D) D.4 E) E.5

Solution: 92p × 5p+y + 11y × 6py--1=B.1
Answer: B
What is the area of a circle with the circumference of 88cms?	Choices:	A) 618sq cms	B) 516sq cms	C) 600sq cms	D) 615sq cms	E) None of these

Solution: circum=2*pi*r   88=2*pi*r   r=44/pi   area of circle= pi * R2   a=pi*(44/pi)2   a=616   ANSWNone of theseR:None of these
Answer: E
In a race of 1000 m, A can beat by 100 m, in a race of 800m, B can beat C by 100m. By how many meters will A beat C in a race of 700 m?
Choose the correct choice
A) 148.75 m	B) 127.5 m.	C) 122.2 m	D) 222.9 m	E) 12289 m

Solution: When A runs 1000 m, B runs 900 m and when B runs 800 m, C runs 700 m.   When B runs 900 m, distance that C runs = (900 * 700)/800   = 6300/8= 
6300/8 = 1_575/2 = around 787.5
787.5 m.   In a race of 1000 m, A beats C by   (1000 - 787.5)= 
  (1000 - 787.5) = 212.5
212.5 m to C.   In a race of 700 m, the number of meters by which A beats C= (700 * 212.5)/1000= 
(700 * 212.5)/1000 = 148.75
148.75 m.   148.75 mnswer:148.75 m
Answer: A
If the ratio of apples to bananas is 4 to 3 and the ratio of bananas to cucumbers is 1 to 5, what is the ratio of apples to cucumbers? Choose the most appropriate option.
A) 4:15
B) 1:3
C) 2:5
D) 4:5
E) 7:6

Solution: 4:15pples : Bananas = 4:3   Bananas : Cucumbers = 1:5 = 3:15   So if I have Bananas, I'd have 4 apples and 15 cucumbers   4:15pples : Cucumbers = 4:15   4:15nswer: 4:15
Answer: A
A 70 kg metal bar made of alloy of tin and silver lost 7 kg of its weight in the water. 10 kg of tin loses 1.375 kg in the water; 5 kg of silver loses 0.375 kg. What is the ratio of tin to silver in the bar?
Choices:
A) 1/4 B) 2/5 C) 1/2 D) 3/5 E) 2/3

Solution: you can simply use this formula to avoid confusion:   w1/w2 = (A2 - Aavg)/(Avg - A1)   Here is how you will find the values of A1 an A2.   We have an overall loss (average loss). The average loss is 7 kg when 70 kg alloy is immersed.   This is a loss of (7/70)*100= 
(7/70)*100 = 10
10%.   This is Aavg   The loss of tin is 1.375 kg for every 10 kg.   This means it loses   (1.375/10)*100= 
  (1.375/10)*100 = 13.75
13.75% of its weight in water.   This is A1.   The loss of silver is .375 kg for every 5 kg.   This means it loses   (.375/5)* 100= 
  (.375/5)* 100 = 7.5
7.5% of its weight in water.   This is A2.   Weight of Tin/Weight of Silver= (Silver's loss - Avg loss)/(Avg loss - Tin's loss)   X/Y = (7.5 - 10)/(10 - 13.75) = 2/3   2/3
Answer: E
The ratio of scores of two football teams is 3 to 4. If each of the team had scores 5 more, what is the ratio of these two new scores ?  Pick one.
A) 3/4  B) 8/9  C) 18/19  D) 23/24  E) It cannot be determined from the information given

Solution: 3/4 = 3x/4x   we need to find out (3x+5)/(4x+5) off course we cannot solve this to arrive at any rational number hence It cannot be determined from the information given.
Answer: E
The average of 11 results is 42, if the average of first five results is 49 and that of the last seven is 52. Find the fifth result?	Answers.
A) 145
B) 146
C) 147
D) 148
E) 149

Solution: 1 to 11 = 11 * 42= 
11 * 42 = 462
462   1 to 5= 5 * 49= 
5 * 49 = 245
245   5 to 11= 7 * 52= 
7 * 52 = 364
364   5th= 245 + 364 – 462 = 147   ANSWER:147
Answer: C
There is a 30 % chance of rain and a 70% chance of shine. If it rains there is a 50% chance that Bob will cancel his picnic but if the sun is shining he will definitely have his picnic. What is the chance that Bob will have his picnic?	Pick: A) 70 % B) 75 % C) 80 % D) 85 % E) 90 %

Solution: Chance of no picnic+chance of picnic= 100% ... (i)   Chance of picnic=100%-Chance of no picnic ... (ii)   Chance of no picnic= 50% of 30%= 15%   Therefore, According to (ii), Chance of picnic= 100%-15%= 85%.   Answer 85 %100 -15= 
100 -15 = 85
85%.   Answer 85 %
Answer: D
CP of 3 buffaloes are $30,000. By selling 1 at a loss of 15% and other at a profit of 19%, he foundthat SP of both buffaloes is the same. Find the CP of each?  Choose the most appropriate option:
A) $10,500
B) $11,500
C) $11,600
D) $12,100
E) $12,500

Solution: Let the C.P of 1st buffalo = x   ∴C.P of 2nd buffalo = 30,000 - x   S.P of 1st buffalo = ( 100 - loss% )   ------------------- x C.P   100   S.P = 100 - 15x   -----------= 85x/ 100   100   S.P of 2nd buffalo = ( 100 - Profit%)   --------------------- x C.P   100   S.P = (100 + 19)(30,000- x) 119(30,000 -x)   -------------------- = ----------------   100 100   S.P of 1st buffalo = S.P of 2nd buffalo   85x/ 100 = 119 ( 30,000 - x)/ 100   ⇒ 85x = 119(30,000 - x)   ⇒ 85x = 3,570,000 - 119x   ⇒ 85x + 119 x = 3,570,000   ⇒ 204x = 3,570,000   ⇒ x = 3,570,000 / 204   ⇒ x = $17,500   C.P of 1st buffalo = $17,500   C.P of 2nd buffalo = 30,000 - 17,500 = $12,500   $12,500
Answer: E
The present ages of Lewis and Brown are in the ratio 1:2. Three years from now, the ages will be in the ratio 3:5. Find the present age of Lewis.	Select the correct option:
A) 3  B) 4  C) 5  D) 6  E) 7

Solution: l:b=1:2 & (l+3):(b+3)=3:5   then 2l=b & 5l+15=3b+9   by solving above we get   l=6   ANSWER:6
Answer: D
Today is John's birthday. Three years from today he will be twice as old as he was 14 years ago. How old is John today ? Choose the most appropriate option.
A) 29 years
B) 26 years
C) 28 years
D) 31 years
E) 34 years

Solution: let John's age=xx+3=2(x-14)x=31ANSWER:31 years
Answer: D
Two trains of length 100 m and 200 m are 100 m apart. They start moving towards each other on parallel tracks, at speeds 54 kmph and 72 kmph. In how much time will the trains cross each other?  Choose the correct choice from the following choices.
A) 80/8 B) 80/7 C) 80/5 D) 80/3 E) 80/1

Solution: Relative speed = (54 + 72)* 5/18 = 7 * 5= 
7 * 5 = 35
35 mps.   The time required= d/s = (100 + 100 + 200)/35   = 400/35 = 80/7 sec.   Answer: 80/7
Answer: B
A 16% stock yielding 14% is quoted at:	Choose one
A) s. 83.33 B) s. 110 C) s. 114 D) s. 120 E) s. 140

Solution: Income of Rs 14 on investment of Rs 100   Income of Rs 16 on investment of ?   = (16*100)/14=114   ANSWER:s. 114
Answer: C
If 15% of a class averages 100% on a test, 50% of the class averages 78% on the test, and the remainder of the class averages 63% on the test, what is the overall class average? (Round final answer to the nearest percent).  Choose the correct answer
A) 76%  B) 77%  C) 78%  D) 79%  E) 80%

Solution: This question is a Weighted Average question with a series of dependent variables.   The remaining portion of the class represents 100% - 15% - 50% = 35% of the class   Converting the portions of the class population to decimal weights, we find:   Class 76%verage  100  - 15  - 50= 
 100  - 15  - 50 = 35
35% of the class   Converting the portions of the class population to decimal weights, we find:   Class 76%verage= 0.15x100 + 0.50x78 + 0.35x63 = 76.05   The class average (rounded) is 76%   Final 76%nswer   76%) 76%
Answer: A
7 carpet-weavers can weave 7 carpets in 7 days. At the same rate, how many carpets would be woven by 14 carpet-weavers in 14 days? Choose the most appropriate option:
A) 14  B) 28  C) 21  D) 35  E) None of these

Solution: Explanation :   Solution: Let the required number of carpets be x.   More weavers, more carpets (Direct proportion)   more days, more carpets (Direct proportion)   weavers 7 :14   } : : 7 : x   days 7 : 14   .'. 7*7*x = 14*14*7 <=> x = 14*14*7/7*7 = 28.   Answer : 28
Answer: B
The average of 35 students in a class is 16 years. The average age of 21 students is 14. What is the average age of remaining 14 students?	Choose one:
A) 16 years
B) 76 years
C) 14 years
D) 19 years
E) 15 years

Solution: Sum of the ages of 14 students   = (16 * 35) - (14 * 21) = 560 - 294= 
560 - 294 = 266
266   Required average= (266/14)= 
(266/14) = 19
19 years.   Answer: 19 years
Answer: D
A train , having a length of 110 meter is running at a speed of 60 kmph. In what time, it will pass a man who is running at 6 kmph in the direction opposite to that of the train Pick
A) 4 sec	B) 2 sec	C) 6 sec	D) 8 sec	E) 7 sec

Solution: Distance = 110 m   Relative speed = 60+6= 
60+6 = 66
66 kmph (Since both the train and the man are in moving in opposite direction)= 66×10/36 mps = 110/6 mps   Time = distance/speed = 110/(110/6)= 
110/(110/6) = 6
6 s   Answer is 6 sec.
Answer: C
In what time a sum of money double itself at 7% per annum simple interest?  Options:
A) 33 1/8%	B) 33 1/3%	C) 14 2/7%	D) 33 4/3%	E) 73 1/3%

Solution: P = (P*7*R)/100   R = 14 2/7%   Answer:14 2/7%
Answer: C
Find the ratio in which rice at Rs.7.20 a kg be mixed with rice at Rs.5.60 a kg to produce a mixture worth Rs.6.30 a kg?  Select the correct option
A) 1 : 3	B) 2 : 3	C) 3 : 4	D) 7 : 9	E) None of these

Solution: Solution   Required ratio = 70 : 90 = 7 : 9   Answer 7 : 9
Answer: D
If x is 20 percent greater than 88, then x = Choose one: A) 68 B) 70.4 C) 86 D) 105.6 E) 108

Solution: X is 20% greater than 88 means X is 1.2 times 88 (in other words 88 + 20/100 * 88 = 1.2 * 88)   Therefore, X = 1.2 * 88= 
1.2 * 88 = 105.6
105.6   ANSWER:105.6
Answer: D
A man is 25 years older than his son. In two years, his age will be twice the age of his son. The present age of his son is Choices:  A) 21  B) 22  C) 20  D) 18  E) 23

Solution: Explanation:   Let the son's present age be x years. Then, man's present age = (x + 25) years   => (x + 25) + 2 = 2(x + 2)   => x + 27 = 2x + 4   So, x = 23. Answer: 23
Answer: E
There are 300 seniors at Morse High School, and 40% of them have cars. Of the remaining grades (freshmen, sophomores, and juniors), only 10% of them have cars. If 20% of all the students at Morse have cars, how many students are in the three lower grades?  Choose the correct choice from the following options:
A) 600  B) 900  C) 1200  D) 1350  E) 1500

Solution: Let x be the number of students in the lower three grades.   0.1x + 120 = 0.2(x+300)   0.1x = 60   x = 600   The answer is 600.
Answer: A
How many questions should I solve the next hour to increase my average to 15 questions, if my average for last 2 hours has been 12 questions per hour.	Choose one:
A) 8
B) 10
C) 12
D) 18
E) 21

Solution: Answer:	Solution   Average of 3 days will be 15   âˆ´ Required questions = (3x15)-(2x12)   = 45-24= 
45-24 = 21
21.   Answer 21
Answer: E
Two digits in brother's age are the same as the digit in the sister's age, but in reverse order. In twenty nine years brother will be twice as old as sister will be then. what is the difference in their current age ?	Choose the correct option
A) 34
B) 50
C) 32
D) 28
E) 45

Solution: brother's age= 10x+y so sister's age= 10y+x..   after 29 years , 10x+y+29=2*(10y+x+29)....   so 29+19y=8x... check for odd values of y, y=1 satisfies the eqn with x=6... so ages are 61 and 16 and ans as found correctly by u is 45..45
Answer: E
In a function they are distributing noble prize. In how many ways can 3 prizes be distributed among 5 boys when a boy gets any no. of prizes?	Choose the correct choice from the following options
A) 55 B) 58 C) 25 D) 65 E) 70

Solution: Ans.(C)   Sol. In this case, repetitions are allowed, so all the three prizes can be given in 4 ways, i.e. (5x5) ways = 52 ways = 25 ways Or nr ways = 52 ways = 25 ways
Answer: C