MU-NLPC/Calc-aqua_rat huggingface dataset:
If 1/a + 1/b + 1/c = 1 / (a + b + c); where a + b + c 1 0; abc 1 0, then what is the value of ( a
+ b ) ( b + c ) ( c + a )?  Choose one
A) Equal to 0 B) Greater than 0 C) Less than 0 D) Less than 1 E) Cannot be determined

Solution: 1/a+1/b+1/c=1/(a+b+c)   or (bc+ac+ab)/(abc)=1/(a+b+c)   or (ab+bc+ac)(a+b+c)=abc   or abc+(a^2)c+(a^2)b+(b^2)c+abc+(b^2)a+(c^2)b+(c^2)a+abc=abc   or 2abc+(a^2)c+(a^2)b+(b^2)c+(b^2)a+(c^2)b+(c^2)a=0   also,   ( a+ b ) ( b + c ) ( c + a )=2abc+(a^2)c+(a^2)b+(b^2)c+(b^2)a+(c^2)b+(c^2)a   or ( a+ b ) ( b + c ) ( c + a )=0   Equal to 0NSWER:Equal to 0
Answer: A
A truck traveled 120 km with a speed of 60 kmh. How much time did it take to reach the destination? Choose one:
A) 3 hours  B) 4 hours  C) 5 hours  D) 2 hours  E) 6 hours

Solution: Time = 2 hoursistance/Speed     120/60= 
  120/60 = 2
2   Answer: 2 hours
Answer: D
A worker makes a toy in every 2h. If he works for 120h, then how many toys will he make ?	Options:
A) 40
B) 60
C) 45
D) 39
E) None

Solution: No. of toys = 120/2= 
120/2 = 60
60   Answer : 60
Answer: B
From the integer n, if n*n is odd, then what is true from below options?  Select the correct option:
A) n is odd	B) n*n*n is even	C) n is even and n*n*n is even	D) n is even	E) All of the above

Solution: n is odd   Option n is odd
Answer: A
If a wholesaler distributes items to several outlets (A, B, C and D) in the ratio of 1/2 : 1/11 : 1/12 : 1/13 then find the total number of items the wholesaler distributes?  Choose the correct answer:
A) 289
B) 1289
C) 1389
D) 1281
E) 128

Solution: Here, A : B : C : D = 1/2 : 1/11 : 1/12 : 1/13   1) L.C.M of 2 : 11 : 12 : 13 is 1716   2) Find the number of books each friend received --------- (To find no. of books each friend has, multiply the ratio with the L.C.M. calculated)   A = (1/2) x 1716 = 858   B = (1/11) x 1716 = 156   C = (1/12) x 1716 = 143   D = (1/13) x 1716 = 132   3) Total number of toys = (858 x + 156 x + 143 x + 132 x) = 1289 x   Minimum number of pens (x) = 1   Therefore, total number of items= 1289 items.   Correct option :1289
Answer: B
Which is better investment 11% stock at 143 or 9 ¾% stock at 117 Pick one.
A) 11% stock at 143 B) 9 3/4 % stock at 117 C) Both D) Cannot be compared E) None of these

Solution: Let the investment in each (143*117)   Income in first case = (11/143*143*117)= 
(11/143*143*117) = 1_287
1287   Income in second case=((39/117*4)*143*117)=1394.25   Clearly, 9 ¾% stock at 117   Option 9 3/4 % stock at 117
Answer: B
If x is less than y by 35% then y exceed x by:	Choose the correct choice from the following answers:
A) 33.33% B) 25% C) 75% D) 53.85% E) None of these

Solution: Using formula (x/(100-x)*100) where x is Percentage decrease (here it is 35%)   => 35/(100-35)*100   =53.85%   ANSWER:53.85%
Answer: D
A is twice as fast as B. If B alone can do a piece of work in 30 days, in what time can A and B together complete the work?
Pick one.
A) 10 days
B) 77 days
C) 66 days
D) 55 days
E) 54 days

Solution: A can do the work in 30/2 i.e., 15 days.   A and B's one day's work = 1/15 + 1/30 = (2 + 1)/30 = 1/10   So A and B together can do the work in 10 days.   10 daysnswer: 10 days
Answer: A
A man deposits $2000 in a bank at 4% per annum and $ 3000 in UTI at 14% per annum. Find the rate of interest for the whole sum.
Select the correct option.
A) 15%
B) 18%
C) 11%
D) 17%
E) 10%

Solution: Following the above formula,we have the rate of interest for the whole sum   =(2000*4)+(3000*14)/2000+3000=50000/5000= 
50000/5000 = 10
10%.   Answer is 17%
Answer: D
The average age of three boys is 25 years and their ages are in proportion 3:5:7. What is the age in years of the eldest boy?
Choose the correct choice from the following options.
A) 6
B) 19
C) 35
D) 45
E) 51

Solution: 3x + 5x + 7x = 75   x =5   7x =35   Answer:35
Answer: C
Water consists of hydrogen and oxygen, and the approximate ratio, by mass, of hydrogen to oxygen is 2:16. Approximately how many grams of oxygen are there in 117 grams of water?
Choices:
A) 100
B) 102
C) 104
D) 106
E) 108

Solution: (16/18)*117= 
(16/18)*117 = 104
104 grams   The answer is 104.
Answer: C
The rate of increase of the price of sugar is observed to be two percent more than the inflation rate expressed in percentage. The price of sugar, on January 1, 1994, is Rs. 42 per kg. The inflation rate for the years 1994 and 1995 are expected to be 16% each. The expected price of sugar on January 1, 1996 would be
Choose the correct choice from the following options:
A) 58.48
B) 56.4
C) 50.6
D) 24.6
E) None of these

Solution: Explanation :   Increase in the price of sugar = (16+2)= 
(16+2) = 18
18%   Hence, price of the sugar on Jan 1, 1996=> (42 * 118 * 118)/( 100 * 100 ) = Rs 58.48.   58.48nswer : 58.48
Answer: A
During a certain week, a seal ate 50% of the first 80 smelt it came across, and 20% of the remaining smelt it came across. If the seal ate 40% of the smelt it came across during the entire week, how many smelt did it eat? Choose the most appropriate option:
A) 48 B) 40 C) 55 D) 64 E) 80

Solution: Total smelt = x.   Then, 0.5*80+0.2(x-80)=0.4*x --> x=120 --> 0.4*x=48.   48nswer: 48.
Answer: A
An urn contains 5 red, 6 blue and 8 green balls. 4 balls are randomly selected from the urn, find the probability that the drawn ball are 1 blue and 1 red and 2 green balls ?
Choose the correct choice.
A) 70/323
B) 50/323
C) 52/969
D) 60/323
E) 25/321

Solution: Sample space = no. of ways 4 balls were drawn from urn = 19C4 = 3876   No. ways 1 blue and 1 red and 2 green balls were drawn from bag = 6C1 * 5C1 * 8C2 = 840   Probability = 840 / 3876 = 70/323   70/323ns - 70/323
Answer: A
100 white and black tiles will be used to form a 20x20 square pattern. If there must be at least one black tile in every row and at least one white tile in every column, what is the maximum difference between the number of black and white tiles that can be used? Choose the correct choice from the following choices:
A) 75  B) 80  C) 85  D) 70  E) 95

Solution: Answer = 70   Please refer diagram below     80 - 10= 
  80 - 10 = 70
70
Answer: D
If y is 25 percent greater than x, then x is what percent less than y?  Options.
A) 12.5%
B) 15%
C) 20%
D) 25%
E) 33%

Solution: y = 1.25x   x = y/1.25 = 4y/5 = y - (1/5)*y   1/5 is 20%.   The answer is 20%.
Answer: C
A wheel rotates 10 times every minute and moves 20 cm during each rotation. How many metres does the wheel move in one hour?  Choose the most appropriate option:
A) 6 metre
B) 12 metre
C) 120 metre
D) 1200 metre
E) 130 metre

Solution: Number of times wheel moves in 1 hour = 10 * 60= 
10 * 60 = 600
600   :. Distance moves= (600 *20)= 
(600 *20) = 12_000
12000 cms   In metres= 120 metre   ANSWER:120 metre
Answer: C
A train passes a station platform in 36 seconds and a man standing on the platform in 22 seconds. If the speed of the train is 54 km/hr, what is the length of the platform?	Pick one:	A) 877 m	B) 210 m	C) 167 m	D) 887 m	E) 265 m

Solution: Speed = (54 * 5/18) m/sec = 15 m/sec. Length of the train   = (15 x 22)m = 330 m. Let the length of the platform be x meters. Then, (x + 330)/36 = 15   ==> x + 330 = 540 ==> x   = 210 m.   Answer: 210 m
Answer: B
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:
A) 177m	B) 180m	C) 167m	D) 197m	E) 287m

Solution: Length of the train be ‘X’   X + 120/15 = X + 180/18   6X + 720 = 5X + 900   X = 180m   Answer: 180m
Answer: B
Sandy bought 65 books for $1080 from one shop and 55 books for $840 from another shop. What is the average price that Sandy paid per book? Choose the correct choice from the following choices:
A) $14
B) $16
C) $18
D) $20
E) $22

Solution: average price per book = (1080 + 840) / (65 + 55) = 1920 / 120= 
1920 / 120 = 16
$16   The answer is $16.
Answer: B
In Goshawk-Eurasian nature reserve 30 percent of the birds are Hawks, and 40 percent of the non-Hawks are Paddyfield-Warblers. If there are 25 percent as many Kingfishers as Paddyfield-Warblers in the reserve, then what percent of the birds b in the nature reserve are not Hawks, Paddyfield-Warblers, or Kingfishers?  Choose the most appropriate option
A) 25%	B) 35%	C) 45%	D) 70%	E) 80%

Solution: 1. We are given the following percentages: 30 (70), 40 (60), 25 (75). There are two threads from here. First starts at 30% and finishes there. Second one starts at 70, then 40, and then 25. We need a value that is divisible by 7, 2, and 5 at least once. lets pick a number now, say 700. So say if Non Hawks are 700 (this is 70% of the total, so total = 1000), then Paddy Warbs are 2/5 x 700 = 1400/5= 
1400/5 = 280
280. Kingfishers, therefore, are   280/4= 
  280/4 = 70
70. Lets add them up. 300 hawks + 280 Peddy Warbs + 70 kingsifhers= 650. So all others are  1000 - 650= 
 1000 - 650 = 350
350 or 35% of total birds.   The main job here to to identify the smart number to start the question with. This can be time consuming, but once identified, this question can be solved fairly quickly.   2. Another method: If X is total --> Non Hawks= 0.7X --> Warbs = 0.4(0.7X) --> KFs = 0.25(0.4(0.7X)).   Our job is to find out b: (0.3X + 0.28X + 0.07X)/ X. OR 0.65X/X = 0.65. We need to find   1-0.65= 
  1-0.65 = 0.35
0.35 or 35%.35%
Answer: B
The sum of the even numbers between 1 and n is 81*82, where n is an odd number, then n=?
Choose the correct choice from the following choices
A) 163 B) 171 C) 177 D) 185 E) 193

Solution: Let n-1 = 2a.   2+4+...+2a = 2*(1+2+...+a) = 2*(a)(a+1)/2 = (a)(a+1) = 81*82   Then a = 81 and n = 163.   The answer is 163.
Answer: A
Which number is the odd one out ?
9654 4832 5945 7642 7963 8216 3659 Answers:
A) 3659
B) 9654
C) 5945
D) 7963
E) 8216

Solution: The product of first two digits in a number equals the last two digits, except in 3659. Hence, it is the odd one.   The answer is 3659.   3659NSWER:3659
Answer: A
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 ?	Choices:
A) 45
B) 60
C) 75
D) 90
E) 86

Solution: Let number of notes of each denomination be x.   Then x + 5x + 10x = 480   16x = 480   x = 30.   Answer: Option 90   Hence, total number of notes = 3x = 90.
Answer: D
John covers a distance of 8km in 50 minutes. If he covers 3km distance in 2/5th of time then, What speed should he maintain to cover the remaining distance in the remaining time?  Choose the correct choice from the following options.
A) 10 Kmph
B) 15 Kmph
C) 17 Kmph
D) 18 Kmph
E) 19 Kmph

Solution: Total distance = 8 Km   Total time = 50 Km   Time taken to cover the distance of 3 Km = 50*2/5= 
50*2/5 = 20
20 min= 1/3 hours   Remaining distance = 8 - 3= 
8 - 3 = 5
5 Km   Required speed= 5/1/3 = 15 Kmph   15 Kmph)
Answer: B
What is the ratio Q of the surface area of a cube to the surface area of a rectangular solid identical to the cube in all ways except that its length has been doubled? Choose the correct choice from the following options:  A) 1/4  B) 3/8  C) 1/2  D) 3/5  E) 2

Solution: Let X be the side of the cube. Therefore X^2*6= surface area.   the rectangle is the same other than length is 2X. The width and height are the same as the cube. 2*W*H+2*W*L+2*H*L= 2X^2+4X^2+4X^2= 10X^2.   6X^2/10X^2 = 3/5.= Q   Answer = 3/5
Answer: D
The number of cars present at a particular time was measured at 2,999 different locations on Tuesday and on Wednesday. The number of locations that had more cars on Wednesday was 15% higher than the number of locations that had more cars on Tuesday. How many of the locations had more cars on Tuesday?  Select the correct option
A) 1,159	B) 1,394	C) 1,860	D) 2,460	E) 2,829

Solution: The question states that all these 2,999 locations were measured twice, once on each day.   It also breaks the 2,999 into two groups, the higher-on-Tuesday locations and the higher-on-Wednesday locations, which we can call T and W.   Therefore, we can write two equations:   For each of the first and second day count of locations, T + W = 2999   But, for the second day count, W = 1.15 T   i.e. for Second day count, T + 1.15T = 2999   i.e. 2.15 T = 2999   i.e. T = 1394   1,394
Answer: B
If p/q = 6/7 , then 2p+q= ? Select the correct option
A) 12  B) 14  C) 13  D) 15  E) 19

Solution: let p=6, q=7 then 2*6+7= 
2*6+7 = 19
19   so 2p+q=19.   ANSW19R:19
Answer: E
The ratio between the speeds of two trains is 7: 8. If the second train runs 400 kms in 4 hours, then the speed of the first train is ?  Pick one:
A) 17.5 km/hr
B) 27.5 km/hr
C) 67.5 km/hr
D) 87.5 km/hr
E) 77.5 km/hr

Solution: Explanation:   Let the speeds of two trains be 7X and 8X km/hr.   8x = {\color{Blue} \frac{400}{4}}   => x= 12.5 km/hrX=4004=>X=12.5Km/hr   So speed of first train is   12.5*7= 
  12.5*7 = 87.5
87.5 km/hr   Answer: 87.5 km/hr
Answer: D
The difference between the squares of two consecutive numbers is 37. Find the numbers.	Choose the correct choice.
A) 38 and 19. B) 28 and 19. C) 18 and 19. D) 18 and 29. E) None

Solution: Solution:   If the difference between the squares of two consecutive numbers is x, then the numbers are (x-1)/2 and (x+1)/2   (37-1)/2 and (37+1)/2   36/2 and 38/2   Therefore the required answer = 18 and 19.   Answer 18 and 19.
Answer: C
If 4 people are selected from a group of 6 married couples, what is the probability that none of them would be married to each other?	Choose the correct option:
A) 1/33 B) 2/33 C) 1/3 D) 16/33 probability E) 11/12

Solution: Each couple can send only one "representative" to the committee. We can choose 4 couples (as there should be 4 members) to send only one "representatives" to the committee in C46C64 # of ways.   But these 4 chosen couples can send two persons (either husband or wife): 2∗2∗2∗2=242∗2∗2∗2=24.   So # of ways to choose 4 people out 6 married couples so that none of them would be married to each other is: C46∗24C64∗24.   Total # of ways to choose 4 people out of 12 is C412C124.   P=C46∗24C412=1633P=C64∗24C124=1633   Answer: 16/33 probability.
Answer: D
If in a race of 70m, A covers the distance in 20 seconds and B in 25 seconds, then A beats B by:  Choose the correct choice from the following answers:
A) 20m B) 16m C) 14m D) 10m E) 15m

Solution: Explanation:   The difference in the timing of A and B is 5 seconds. Hence, A beats B by 5 seconds.   The distance covered by B in 5 seconds = (70 * 5) / 25= 
(70 * 5) / 25 = 14
14m   Hence, A beats B by 14m.   ANSWER 14m
Answer: C
Two pipes A and B can separately fill a tank in 2 minutes and 15 minutes respectively. Both the pipes are opened together but 4 minutes after the start the pipe A is turned off. How much time will it take to fill the tank?
Select the correct option.
A) 10 B) 9 C) 11 D) 12 E) 15

Solution: 4/12 + x/15 = 1   x = 10   10NSWER 10
Answer: A
A family consists of two grandparents, two parents and three grandchildren. The average age of the grandparents is 80 years, that of the parents is 35 years and that of the grandchildren is 6 years. What is the average age of family?
Choose the correct choice.
A) 3/7years	B) B)31	C) C)30	D) D)33	E) E)35

Solution: Required average   = (80 x 2 + 35 x 2 + 6 x 3 )/(2 + 2 + 3)   = (160 + 70 + 18)/7   = 248/7   = 35 3/7years.   3/7yearsnswer is 3/7years
Answer: A
Operation # is defined as: a # b = 4a^2 + 4b^2 + 8ab for all non-negative integers. What is the value of (a + b) + 4, when a # b = 100?	Choose the correct option
A) 5  B) 9  C) 10  D) 13  E) 17

Solution: OFFICIAL SOLUTION:   (B) We know that a # b = 100 and a # b = 4a² + 4b² + 8ab. So   4a² + 4b² + 8ab = 100   We can see that 4a² + 4b² + 8ab is a well-known formula for (2a + 2b)². Therefore   (2a + 2b)² = 100.   (2a + 2b) is non-negative number, since both a and b are non-negative numbers. So we can conclude that 2(a + b) = 10. (a + b) + 4 = 10/2 + 4= 
10/2 + 4 = 9
9.   The correct answer is 9.
Answer: B
A shop sells two variants of chocolates - one that costs $3 and the other that costs $5. If the shop sold $131 chocolates on a given day, how many different combinations of (number of $3 sold, number of $5 sold) exist? Choose the correct choice from the following answers
A) 3	B) 5	C) 7	D) 9	E) 11

Solution: $131 = 25*$5 + 2*$3   We can find other combinations by reducing the $5 chocolates by 3 (which is -$15)and increasing the $3 chocolates by 5 (which is +$15).   The number of $5 chocolates can be 25, 22, 19, 16,...,1 for a total of 9 combinations.   The answer is 9.
Answer: D
The length of the bridge, which a train 135 metres long and travelling at 45 km/hr can cross in 30 seconds, is?  Choose the correct choice from the following answers.
A) 76 m B) 178 m C) 240 m D) 187 m E) 176 m

Solution: Speed = [45 X 5/18] m/sec   = [25/2] m/sec Time = 30 sec Let the length of bridge be x metres. Then, (135 + x)/30 = 25/2   => 2(135 + x)= 750 => x = 240 m.   Answer: 240 m
Answer: C
What is the smallest integer that, when increased by seven, is divisible by 14, 25, 36, and 81?
Choose the correct choice from the following answers.
A) 1020600	B) 1020593	C) 56693	D) 28343	E) 18900

Solution: 14 = 2 * 7   25 = 5 * 5   36 = 2 * 2 * 3 * 3   81 = 3 * 3 * 3 * 3   So our answer is   (2 * 2 * 3 * 3 * 3 * 3 * 5 * 5 * 7) - 7= 
  (2 * 2 * 3 * 3 * 3 * 3 * 5 * 5 * 7) - 7 = 56_693
56693, which is option 56693.
Answer: C
A car traveled the first quarter of a certain distance at one-seventh the speed it traveled the remaining distance. What proportion of the total time traveled, was the time taken to travel the first quarter of the distance?	Choose the correct option.
A) 1/22  B) 1/25  C) 1/26  D) 1/27  E) 1/28

Solution: These problems can be solved through algebra or sly number picking. Being a big fan of solving problems with numbers, let's pick a total distance divisible by 4 (say 40) so we can break it up into quarters, and a speed that can easily be one-seventh, say 10. Each quarter is thus 10 kilometers (or miles or feet or angstroms for all it matters), and the runner's speed is 10 km/h for the first quarter and 1 3/7 km/h for the remaining quarters.   He'll take 1 hour to do the first quarter and then 7 hours for the second quarter, 7 hours for the third and 7 hours for the fourth. On total he will take 22 hours to complete this race, of which 1 hour was spent on the first quarter. So 1/22. 1/22nswer 1/22.
Answer: A
A 300 metre long train crosses a platform in 39 seconds while it crosses a signal pole in 18 seconds. What is the length of the platform?  Choose the correct choice from the following options.
A) 150 m
B) 200 m
C) 350 m
D) 400 m
E) None

Solution: Sol.   Speed = [300 / 18] m/sec = 50/3 m/sec.   Let the length of the platform be x metres.   Then, x + 300 / 39 = 50/3 ⇔ 3(x + 300) = 1950 ⇔ x = 350m.   Answer 350 m
Answer: C
Present ages of Sameer and Anand are in the ratio of 5:4 respectively. Three years hence, the ratio of their ages will become 11:9 respectively. What is Anand's present age in years?  Options:  A) 24 years  B) 66 years  C) 77 years  D) 55 years  E) 16 years

Solution: Let the present ages of Sameer and Anand be 5x and 4x years respectively.   Then, (5x + 3)/(4x + 3) = 11/9   9(5x + 3) = 11(4x + 3) => x = 6   Anand's present age = 4x = 24 years.   24 yearsnswer: 24 years
Answer: A
Paulson spends 75% of his income. His income is increased by 20% and he increased his expenditure by 10%. Find the percentage increase in his savings? Choose the most appropriate option:
A) 20%
B) 25%
C) 50%
D) 75%
E) 60%

Solution: Let original income = $100   expenditure = $75   savings = $25   new income = $120   new expenditure = $110/100 * 75 = $165/2   New savings = 120 - 165/2 = $75/2   Increase in savings = 75/2 - 25 = $25/2   Increase % = 25/2 * 1/25 * 100= 
25/2 * 1/25 * 100 = 50
50%   Answer is 50%
Answer: C
if p/q=3/4
then3p+4q=? Choices
A) 25/4
B) 25/2
C) 20/4
D) 35/4
E) 25/3

Solution: 3p+4q=?   Divided by q,   3(p/q)+4=x   3*(3/4)+4=25/4   25/4NSWER:25/4
Answer: A
If 0.6 : x :: 5 : 8, then x is equal to:
Pick one.
A) A)0.96 B) B)1.2 C) C)1.25 D) D)1.3 E) E)0.8

Solution: (x * 5) = (0.6 * 8)= 
(0.6 * 8) = 4.8
4.8/5= 
4.8/5 = 0.96
0.96   0.96nswer= 0.96
Answer: A
x = y - (40/y), where x and y are both > 0. If the value of y is doubled in the equation above, the value of x will
Choose the correct choice from the following answers.
A) decrease	B) stay the same	C) increase four fold	D) double	E) Triples

Solution: Alternate approach   Plug in some values of y > 0   Let y = 10   So, x = y - (40/y)   Or, x = 10 - (40/10)= 
10 - (40/10) = 6
6   Let y= 20   So, x = y - (40/y)   Or, x = 20 - (40/20)= 
20 - (40/20) = 18
18   So, x increases from 6 to 18   Hence the number increases 3 times, thus the correct answer will be (Triples)
Answer: E
What is the least number should be added to 929, so the sum of the number is completely divisible by 30? Choices:	A) 1	B) 2	C) 5	D) 6	E) 8

Solution: (929 / 30) gives remainder 29   29 + 1= 
29 + 1 = 30
30, So we need to add 1   1nswer : 1
Answer: A
The positive number a is q percent greater than the positive number b, which is l percent less than a itself. If a is increased by l percent, and the result is then decreased by q percent to produce a positive number c, which of the following could be true?
I. c > a
II. c = a
III. c < a	Choose the correct choice:
A) I only	B) II only	C) III only	D) I and II only	E) II and III only

Solution: Let q = 10% then l = 100/11 %   let b = 100 then a = 110   after increasing a by l and decreasing b yq we get c= 108   therefore c<a   III only it is answer
Answer: C
A, B, C subscribe Rs. 50,000 for a business. A subscribes Rs. 4000 more than B and B Rs. 5000 more than C. Out of a total profit of Rs. 30,000, A receives: Choose the correct choice from the following answers:  A) s. 12,000  B) s. 12,200  C) s. 12,400  D) s. 12,600  E) s. 12,800

Solution: Let C = x.   Then, B = x + 5000 and A = x + 5000 + 4000 = x + 9000.   So, x + x + 5000 + x + 9000 = 50000   3x = 36000   x = 12000   A : B : C = 21000 : 17000 : 12000 = 21 : 17 : 12.   A's share = Rs. (30000 x 21/50) = Rs. 12,600.   s. 12,600
Answer: D
A train 110 meters long is running with a speed of 60 kmph. In what time will it pass a man who is running at 6 kmph in the direction opposite to that in which the train is going?  Options.
A) 7 sec B) 6 sec C) 8 sec D) 5 sec E) 4 sec

Solution: Speed of train relative to man = (60 + 6) km/hr = 66 km/hr   [66 * 5/18] m/sec = [55/3] m/sec.   Time taken to pass the man = [110 * 3/55= 
110 * 3/55 = 6
6 sec   Answer: 6 sec
Answer: B
Find the principle on a certain sum of money at 8% per annum for 2 2/5 years if the amount being Rs.1120?	Choose the correct answer.
A) 939.6 B) 928.8 C) 927.78 D) 926.82 E) 902.1

Solution: 1120 = P [1 + (8*12/5)/100]   P=939.60   939.6nswer: 939.6
Answer: A
The average of four positive integers is 69. The highest integer is 93 and the least integer is 39. The difference between the remaining two integers is 28. Which of the following integers is the higher of the remaining two integers? Choose the correct choice:
A) 65 B) 48 C) 37 D) 23 E) 12

Solution: Let the four integers be A, B, C and D where A > B > C > D.   (A + B + C + D)/4 = 69 => A + B + C + D = 276 ---> (1)   A = 93, D = 39 and B - C = 28   (1) => B + C = 276 - (A + D) = 276 - 132= 
276 - 132 = 144
144.   48 + 48 -28= 144   48 = (144 + 28)/2= 
(144 + 28)/2 = 86
86   Answer:48
Answer: B
If the S.P of Rs. 12 results in a 40% discount on the list price, What S.P would result in a 10% discount on the list price?  Select the correct option
A) s. 16
B) s. 17
C) s. 18
D) s. 19
E) s. 20

Solution: Let the list price be Rs. X,   60/100*x = 12, x = 12*100/60= 
12*100/60 = 20
20   Required S.P= 90% of Rs. 20   = 90*20/100= 
90*20/100 = 18
18   ANSWER:s. 18
Answer: C
Find the missing value : 8597 - ? = 7429 - 4358  Select:
A) 5526	B) 5426	C) 5326	D) 5226	E) None of them

Solution: Let 8597 - x = 7429 - 4358.   Then, x = (8597 + 4358) - 7429 = 12955 - 7429= 
12955 - 7429 = 5_526
5526.   5526nswer is 5526.
Answer: A