MU-NLPC/Calc-aqua_rat huggingface dataset:
The value of a scooter depreciates in such a way that its value of the end of each year is 3/4 of its value of the beginning of the same year. If the initial value of the scooter is Rs.40,000, what is the value at the end of 2 years ?
Choose one.
A) 3277 B) 2977 C) 22500 D) 6077 E) 17112

Solution: Explanation: 40,000*(3/4)^2   Answer:22500
Answer: C
a dealer buys 4 varieties of rice costing rs. 40,rs.50,rs.60 and rs.70 per kg in the ratio 4:5:3:2 and mixes all the four varieties and sells at 40% profit. What is the selling price per kg of rice?
Choose the correct choice.
A) 72 B) 73 C) 74 D) 75 E) 76

Solution: CP = 40*4+50*5+60*3+70*2= 
40*4+50*5+60*3+70*2 = 730
730   SP= 1.4*730= 
1.4*730 = 1_022
1022   Total no.of kgs=4+5+3+2= 
4+5+3+2 = 14
14   SP per kg=1022/14= 
1022/14 = 73
73   ANSWER:73
Answer: B
If a quarter kg of carrots costs 60 paise, how many paise will 200 gms cost ?  Choose the correct choice from the following answers:
A) 78 paise  B) 48 paise  C) 54 paise  D) 62 paise  E) 65 paise

Solution: Explanation:   Quarter of Kg means 250 gm   Less weight, less price (Direct Proportion)   So,   250 : 200 :: 60 : x => x = 48   So 200 gm will cost 48 paise.   Answer IS 48 paise
Answer: B
Q is an even integer greater than 300,000 and smaller than 1,000,000. How many numbers can Q be? Choose one
A) 300,000  B) 349,999  C) 350,000  D) 399,999  E) 400,000

Solution: Q 1,000,000-300,000=700,000 integers   700,000/2= 350,000 even integers.   350,000+1 inclusive. But since 1,000,000 and 300,000 are not included.   350,001-2=349,999   349,999
Answer: B
Difference of two numbers is 1660. If 7.5% of the number is 12.5% of the other number , find the number ?	Options.
A) 2660, 1000
B) 3660, 2000
C) 3000, 4160
D) 2490, 4150
E) 4660, 3000

Solution: Let the numbers be x and y. Then, 7.5 % of x =12.5% of y   X = 125*y/75 = 5*y/3.   Now, x-y =1660   5*y/3 –y =1660   2*y/3= 1660   y =[ (1660*3)/2= 
(1660*3)/2 = 2_490
2490.   One number= 2490, Second number =5*y/3 =4150.   Answer 2490, 4150.
Answer: D
The present ages of three persons are in proportions 4:7:9. Six years ago, the sum of their ages was 122. Find their present ages.  Choose the correct choice from the following answers:	A) 20, 28	B) 28, 36	C) 35, 45	D) 35, 55	E) 49,63

Solution: Let their present ages be 4x, 7x and 9x years respectively.   Then, (4x - 6) + (7x - 6) + (9x - 6) = 122   20x = 140 => x = 7   Their present ages are 28, 49 and 63 years respectively.   ANSW49,63R:49,63
Answer: E
A bowl was filled with 10 ounces of milk, and 0.008 ounce of the milk evaporated each day during a 50-day period. What percent of the original amount of milk evaporated during this period?	Choices
A) 0.004%
B) 0.04%
C) 4%
D) 40%
E) 42%

Solution: Total amount of milk evaporated each day during a 50-day period = .008 * 50   =.008 * 100/2   = .8/2= 
.8/2 = 0.4
.4   percent of the original amount of milk evaporated during this period= (.4/10) * 100= 
(.4/10) * 100 = 4
4 %   Answer 4%
Answer: C
The area of a square is equal to five times the area of a rectangle of dimensions 125 cm * 64 cm. What is the perimeter of the square? Choose the correct choice from the following answers:
A) 300	B) 800	C) 500	D) 600	E) 700

Solution: Area of the square = s * s = 5(125 * 64)   => s = 25 * 8= 
25 * 8 = 200
200 cm   Perimeter of the square= 4 * 200= 
4 * 200 = 800
800 cm.   Answer: Option 800
Answer: B
A statue is being carved by a sculptor. The original piece of marble weighed 180 kg. In the first week 28 percent is cut away. In the second week 18 percent of the remainder is cut away. In the third week the statue is completed when 20 percent of the remainder is cut away. What is the weight of the final statue? Choose the correct choice from the following.
A) 105 kg
B) 85 kg
C) 108 kg
D) 125 kg
E) 117 kg

Solution: 85 kg   85 kg   180 Ã— 0.72Ã— 0.82Ã— 0.8 = 85 kg.
Answer: B
A hat company ships its hats, individually wrapped, in 8-inch by 10-inch by 12-inch boxes. Each hat is valued at $5.50. If the company’s latest order required a truck with at least 288,000 cubic inches of storage space in which to ship the hats in their boxes, what was the minimum value of the order? Choose the most appropriate option
A) $960 B) $1,350 C) $1,650 D) $2,050 E) $2,250

Solution: Total Volume is 288000   Given LBH = 8*10*12.   the number of hats inside it = 288000/10 * 8 * 12 = 300.   price of each hat is 5.5 $ then total value is   300 * 5.5= 
  300 * 5.5 = 1_650
1650.   IMO option $1,650 is correct answer..
Answer: C
A man invests Rs.5000 for 3 years at 5% p.a. compound interest reckoned yearly. Income tax at the rate of 20% on the interest earned is deducted at the end of each year. Find the amount at the end of the third year	Choose one
A) 5624.32	B) 5624.39	C) 5654.32	D) 5624.38	E) 5624.35

Solution: Explanation:   5% is the rate of interest. 20% of the interest amount is paid as tax.   i.e 80% of the interest amount stays back.   if we compute the rate of interest as 80% of 5% = 4% p.a., we will get the same value.   The interest accrued for 3 years in compound interest = 3 x simple interest on principal + 3 x interest on simple interest + 1 x interest on interest on interest.   = 3 x (200) + 3 x (8) + 1 x 0.32 =600 + 24 + 0.32= 
600 + 24 + 0.32 = 624.32
624.32   The amount at the end of 3 years= 5000 + 624.32= 
5000 + 624.32 = 5_624.32
5624.32   5624.32nswer: 5624.32) Rs.5624.32
Answer: A
If x is a positive integer with fewer than 3 digits, what is the probability that C x*(x + 1) is a multiple of either 4 or 5? Choose the correct choice from the following answers
A) 4/99 B) 2/25 C) 8/99 D) 49/100 E) 86/99

Solution: Interesting question! Also one that we should be able to answer very quickly be keeping an eye on our best friends, the answer choices.   We know that x belongs to the set {1, 2, 3, ... , 99}. We want to know the probability C that x(x+1) is a multiple of either 4 or 5.   When will this happen? If either x OR (x+1) is a multiple of 4 or 5.   Since 4*5 is 20, let's look at the first 20 numbers to get a rough idea of how often this happens.   Out of the numbers from 1 to 20:   4, 5, 6, 8, 9, 10, 11, 12, 13, 15, 16, 17, 20   So, 14 out of the first 20 numbers match our criteria. Since:   probability = (# of desired outcomes)/(total # of possibilities), we guesstimate the answer to be 14/20. Since (86/99) is the only answer greater than 1/2, we go with (86/99).
Answer: E
In what time will Rs.1000 become Rs.1331 at 10% per annum compounded annually?  Choose the most appropriate option
A) 2 years
B) 3 years
C) 4 years
D) 7 years
E) None

Solution: Solution   Principal	= Rs.1000;   Amount	= Rs.1331;   Rate	= Rs.10%p.a.   Let the time be n years.Then   [1000(1+10/100)Λn;]   = 1331.   = (1331/1000)   = (11/10)³   Therefore n = 3 years.   Answer 3 years
Answer: B
In how many ways can a group of 5 men and women be made out of a total of 7 men and 3 women?  Choose one:
A) 63 B) 90 C) 126 D) 45 E) 135

Solution: Required number of ways=7c5 x 3c2   =7c2 x 3c1   =63   63NSWER 63 63
Answer: A
When the positive integer x is divided by 9,the remainder is 5.What is the remainder when 7x is divided by 9? Choose one
A) 0	B) 1	C) 3	D) 4	E) 8

Solution: i tried plugging in numbers   x = 9q+5   x = 14   7x 9 +5= 
9 +5 = 14
14   7x= 98   7x/9 = 9*10 + 8   remainder is 8   Answer is 8.
Answer: E
Suppose you flip a fair coin three times. What is the probability that, in three flips, you get at least one head?  Choose the correct option
A) 15/8 B) 7/8 C) 13/8 D) 3/8 E) 1/8

Solution: 7/8est way of solving an at least 1 type of question is to compute 1 - probability of flipping 0 heads   probability of flipping either a head or a tail = 1/2   probability of flipping 3 tails in a row (1/2)^3   probability of flipping at least 1 head = 1 - (1/2)^3 = 7/8   Answer : 7/8
Answer: B
At what time between 4 and 5 o'clock will the hands of a watch point in opposite directions?
Choose the most appropriate option:
A) (54 + 6/11) past 9 B) (54 + 6/11) past 1 C) (54 + 6/11) past 2 D) (54 + 6/11) past 4 E) (54 + 6/11) past 7

Solution: 4 o'clock, the hands of the watch are 20 min. spaces apart.   To be in opposite directions, they must be 30 min. spaces apart.   Minute hand will have to gain 50 min. spaces.   55 min. spaces are gained in 60 min   50 min. spaces are gained in min. or   Required time = min. past 4.   Answer: (54 + 6/11) past 4
Answer: D
In a certain random experiment, exactly one of the outcomes A, B, and C will occur. In each random experiment, the probability that outcome A will occur is 1/3 , and the probability that outcome B will occur is 1/3. What is the probability that when the random experiment is conducted 6 independent times, each of outcomes A, B, and C will occur twice?	Pick one
A) 5/243
B) 1/12
C) 10/81
D) 1/6
E) 16/81

Solution: Given that P(A) = P(B) = P(C) = 1/3.   P(AABBCC) = (13)^6∗6!2!2!2!=1081 we multiply by 6!/(2!2!2!) because AABBCC scenario can occur in several ways: AABBCC, AABCBC, AACBBC, ... (the number of permutations of 6 letters AABBCC is 6!(2!2!2!)).   Answer: 10/81.
Answer: C
Lisa and Robert have taken the same number of photos on their school trip. Lisa has taken 3 times as many photos as Claire and Robert has taken 20 more photos than Claire. How many photos has Claire taken?  Choices:
A) 6
B) 8
C) 10
D) 12
E) 14

Solution: L = R   L = 310   R = 10 + 20   310 = 10 + 20   10 = 10   The answer is 10.
Answer: C
A 290 meter long train running at the speed of 120 kmph crosses another train running in the opposite direction at the speed of 80 kmph in 9 seconds.What is the lenght of other train.
Select the correct option:	A) 210m	B) 220m	C) 230m	D) 240m	E) 250m

Solution: Relative speeds=(120+80)km/hr   =200km/hr=(200*5/18)m/s=(500/9)m/s   let length of train be xm   x+290/9=500/9   x=210   210mns is 210m   210mNSWER:210m
Answer: A
A person sells a book for Rs. 11. He gains as many percent as its cost price in rupees. What is the cost price?  Choices:
A) Rs. 19  B) Rs. 12  C) Rs. 10  D) Rs. 11  E) Rs. 14

Solution: ANSWER: Rs. 10
Answer: C
How many multiples of 2 are there between 101 and 999 ?	Choose one:
A) 250  B) 440  C) 510  D) 575  E) 449

Solution: 2 multiples are 102,104,106,---------,994,996,998   It should be mentioned whether 1 and 89 are inclusive.   the answer is   (998-102)/2+1= 
  (998-102)/2+1 = 449
449   Answer is 449
Answer: E
The ratio between c and y is 7/9; c and y are increased by 4, what is the ratio between the new values of c and y?  Options:
A) 7/9 B) 14/9 C) 7/18 D) 11/13 E) It Cannot Be Determined

Solution: Ratio = 7k/9k = 7/9, 14/18, etc.   c and y are increased by 4 --> (7k + 4)/(9k + 4)   New ratio can be 11/13, 18/22, etc.   Answer: It Cannot Be Determined
Answer: E
In a race with 11 competitors, the first-place finisher receives a gold medal, the second-place finisher receives a silver medal, and the third-place finisher receives a bronze medal. If there are no ties, in how many different ways may these three medals be awarded?
Choose one
A) 35  B) 120  C) 720  D) 990  E) 604,800

Solution: Well in this case since there are 3 positions and they can be taken by 3 persons only ,so order matters over here .For gold there are 11 choices ,for silver 10 remain (one who got gold cannot be given silver) and for bronze 9 choices remain.   So total possibilities=11*10*9= 
11*10*9 = 990
990   Correct answer 990=990
Answer: D
The averge score of a cricketer for ten matches is 45 runs. If the average for the first six matches is 48. Then find the average for the last four matches? Choose the correct option:
A) 43.25 B) 43 C) 38 D) 40.5 E) 36

Solution: sum of last 4 matches = ((10 × 45) – (6 × 48)= 162   Average =   162/4= 
162/4 = 81/2 = around 40.5
40.5   ANSWER:40.5
Answer: D
The dividend is 208, the quotient is 8 and the remainder is 2.
What is the divisor?  Choose the correct choice from the following:  A) 22  B) 24  C) 26  D) 28  E) 30

Solution: D = d * Q + R   208 = d * 8 + 2   208/8 = d + 2   26 = d + 2   26-2= 
26-2 = 24
d   24= d   Answer: 24
Answer: B
A gambler has won 40% of his 20 poker games for the week so far. If, all of a sudden, his luck changes and he begins winning 80% of the time, how many more games must he play to end up winning 60% of all his games for the week?	Choose the correct choice from the following answers:
A) 20
B) 25
C) 30
D) 35
E) 40

Solution: Let x be the number of additional games the gambler needs to play.   0.4(20) + 0.8x = 0.6(x+20)   0.2x = 4   x = 20   The answer is 20.
Answer: A
The area of the floor of a room is 20 m2 that of a longer wall 15 m2 and of the shorter wall 12 m2, find the edge of the new cube? Choices:	A) 40	B) 50	C) 60	D) 70	E) 80

Solution: lb = 20 ; lh = 15 ; fh = 12   (lbh)2 = 20 * 15 * 12 => lbh = 60 m3   Answer: Option 60
Answer: C
If nn is a positive integer and (n+1)(n+3)(n+1)(n+3) is odd, then (n+2)(n+4)(n+2)(n+4) must be a multiple of which one of the following? Choose the correct choice:
A) 1	B) 4	C) 6	D) 8	E) 9

Solution: (n+1)(n+3)(n+1)(n+3) is odd only when both (n+1)(n+1) and (n+3)(n+3) are odd. This is possible only when nn is even.   Hence, n=2mn=2m, where mm is a positive integer. Then,   (n+2)(n+4)=(2m+2)(2m+4)=2(m+1)2(m+2)=4(m+1)(m+2)(n+2)(n+4)=(2m+2)(2m+4)=2(m+1)2(m+2)=4(m+1)(m+2)   =4 * (product of two consecutive positive integers, one which must be even)=4 * (product of two consecutive positive integers, one which must be even) =4 * (an even number), and this equals a number that is at least a multiple of 8=4 * (an even number), and this equals a number that is at least a multiple of 8   Hence, the answer is (8).
Answer: D
Find the fourth proportion to 4,8,12 Choose the correct answer.
A) 6  B) 12  C) 18  D) 24  E) 8

Solution: Explanation:   4:8 :: 12:x   => 4/8= 12/x   => x = 12*8/4   => x = 24   Answer:24
Answer: D
Find the sum of first 20 multiples of 12.	Select.
A) 2520
B) 3878
C) 2778
D) 27
E) 911

Solution: Sum of first 20 multiples of 12 are = (12×1) + (12×2) + (12×3) + . . . . . . + (12×19) + (12×20). = 12 (1+2+3+ . . . . . + 20)   Use the formula:   n(n+1) 2   ⇒   12×(20×21) 2   =2520.   2520nswer:2520
Answer: A
The cost of the paint is rs.40 per kg. if 1kg of paint covers 20 sq.ft, how much will it cost to paint outside of a cube having 30 feet each side	Choose the correct choice from the following choices.
A) Rs.962
B) Rs.672
C) Rs.546
D) Rs.10800
E) None of these

Solution: Explanation:   surface area of a cube= 6 x 30^2 = 5400 sq.ft   quantity of paint required=(5400/20)= 
(5400/20) = 270
270 kg   cost of painting= 40 x 270 = Rs.10800   Answer: Rs.10800
Answer: D
An express train travelled at an average speed of 100 km/hr, stopping for 3 minutes after every 75 km. How long did it take to reach its destination 600 km from the starting point?
Choose the correct choice from the following answers
A) 5 hrs 20 min
B) 6 hrs 21 min
C) 6 hrs 24 min
D) 6 hrs 30 min
E) None

Solution: Sol.   Time taken to cover 600 km = (600 / 100)= 
(600 / 100) = 6
6 hrs.   Number of stoppages= 600 / 75 - 1 = 8 -1= 
8 -1 = 7
7.   Total time of stoppages= (3x7) min = 21 min.   Hence, total time taken = 6 hrs 21 min.   Answer 6 hrs 21 min
Answer: B
Betty leaves her home and walks toward Dave's house. Two hours later, Dave leaves his home and walks toward Betty's house. The distance between their homes is 36 kilometers, Betty's walking speed is 4 km/h, and Dave's walking speed is 3 km/h. How many kilometers will Betty walk before she meets Dave? Options
A) 18	B) 20	C) 22	D) 24	E) 25

Solution: Betty walks 8 km in the first two hours so there are 28 km remaining.   When Dave starts walking, they complete a total of 7 km per hour.   They will meet four hours after Dave starts walking.   Since Betty walks for 6 hours, she walks 24 km.   The answer is 24.
Answer: D
James has a total of 560 balls. 140 balls are yellow, 250 balls are blue, and 170 balls are red. What percentage of the balls are yellow ?	Options:  A) 45 %  B) 30 %  C) 25 %  D) 55 %  E) 75 %

Solution: Explanation :   Yellow Percentage = (140/560 x 100)%   = 25%   Answer : 25 %
Answer: C
nd the area of trapezium whose parallel sides are 20 cm and 18 cm long, and the distance between them is 14 cm? Choose the correct choice from the following answers
A) 235cm2	B) 260cm2	C) 266cm2	D) 270cm2	E) 280cm2

Solution: Area of a trapezium = 1/2 (sum of parallel sides) * (perpendicular distance between them)   = 1/2 (20 + 18) * (14)   = 266 cm2   Answer:266cm2
Answer: C
Daniel went to the store 5 times last month. He buys 8 tickets and 14 bottle caps each time he goes to the store. How many tickets did Daniel buy last month?
Choose the most appropriate option:
A) 25 B) 14 C) 40 D) 33 E) 11

Solution: 8*5= 
8*5 = 40
40.Answer is 40.
Answer: C
A man entered a store and spent one-half of the money that was in his pocket. When he came out he found that he had just as many cents as he had dollars when he went in and half as many dollars as he had cents when he went in. How much money did he have on him when he entered? Answers
A) $95.98  B) $77.98  C) $99.98  D) $65.98  E) $76.98

Solution: $99.98   $99.98   The man must have entered the store with $99.98 in his pocket.
Answer: C
A shop sells bicycles and tricycles. In total there are 7 cycles (cycles include both bicycles and tricycles) and 19 wheels. Determine how many of each there are, if a bicycle has two wheels and a tricycle has three wheels. Choose the correct choice:
A) b=2,t=3
B) b=5,t=3
C) b=6,t=2
D) b=2,t=5
E) b=3,t=4

Solution: Let b be the number of bicycles and let t be the number of tricycles.   Set up the equations   b+t=7............(1)   2b+3t=19............(2)   Rearrange equation (1) and substitute into equation (2)   t=7-b   2b+21-3b=19   -b=-2   b=2   Calculate the number of tricycles t   t=7−b   =7−2   =5   There are 5 tricycles and 2 bicycles.   Answer is b=2,t=5.
Answer: D
What is the lowest positive integer that is divisible by each of the odd integers between 9 and 15 inclusive?	Choose the correct choice from the following choices.
A) 3×17×19×21  B) 5×17×19×23  C) 7×15×17×19  D) 15*11*13  E) 15×17×19×21

Solution: We should find the LCM of 9= 3*3,11,13 and 15 = 3*5 --> LCM = 15*11*13   Answer: 15*11*13.
Answer: D
In how many ways can the letters of the word CAREER be arranged? Choose the correct choice from the following answers.
A) 180
B) 2500
C) 2000
D) 2520
E) 3420

Solution: CAREER has 6 words, but E and R are repeated two times. Thus ways = 6! / 2!*2! = 180 ways   180
Answer: A
The sum of the squares of the first 15 positive integers (1^2 + 2^2 + 3^2 + . . . + 15^2) is equal to 1250. What is the sum of the squares of the second 15 positive integers (16^2 + 17^2 + 18^2 + . . . + 30^2) ? Choose the correct choice from the following
A) 2480	B) 3490	C) 6785	D) 8225	E) 9255

Solution: You'll never need a formula for the sums of squares on the actual GMAT. You don't need to use that formula here, though it's not all that straightforward to solve without one. Two different approaches:   16^2 + 17^2 + 18^2 + ... + 30^2 = (15 + 1)^2 + (15 + 2)^2 + (15 + 3)^2 + ... + (15 + 15)^2   Now we can expand each square; they are all in the (x + y)^2 = x^2 + 2xy + y^2 pattern.   = (15^2 + 2*15 + 1^2) + (15^2 + 4*15 + 2^2) + (15^2 + 6*15 + 3^2) + ... + (15^2 + 30*15 + 15^2)   Now we have fifteen 15^2 terms, so adding these gives 15*15^2 = 15^3 = 3375. We also have the entire sum 1^2 + 2^2 + ... + 15^2, which we know is equal to 1240. Finally adding the middle terms, we have:   2*15 + 4*15 + 6*15 + ... + 30*15 = 15(2 + 4 + 6 + .... + 30) = 15*2*(1 + 2 + 3 + ... + 15) = 15*2*8*15= 
15*2*8*15 = 3_600
3600   So the sum must be  3375 + 1240 + 3600= 
 3375 + 1240 + 3600 = 8_215
8215   Alternatively, we can use a different factoring pattern. We want to find the value of 30^2 + 29^2 + ... + 17^2 + 16^2. Well if we subtract 15^2 + 14^2 + .... + 2^2 + 1^2 from this, the answer will be 1240 less than what we want to find. So if we can find the value of   30^2 + 29^2 + ... + 17^2 + 16^2 - (15^2 + 14^2 + .... + 2^2 + 1^2)   then we can add 1240 to get the answer. Now grouping the terms above to get differences of squares, we have= (30^2 - 15^2) + (29^2 - 14^2) + ... + (16^2 - 1^2)   and factoring each of these using x^2 - y^2 = (x + y)(x - y), we have   = 45*15 + 43*15 + 41*15 + ... + 17*15 = 15(45 + 43 + 41 + ... + 17)   In brackets we have an equally spaced sum with fifteen terms, which we can evaluate using the familiar formula. So the above equals     15*15*62/2= 
  15*15*62/2 = 6_975
6975   and adding back the 1250, we get the answer of 8225. (ANS 8225)
Answer: D
A letter lock consists of three rings each marked with six different letters. The number of distinct unsuccessful attempts to open the lock is at the most -.	Choose the most appropriate option:  A) 216  B) 243  C) 215  D) 729  E) 728

Solution: Since each ring consists of six different letters, the total number of attempts possible with the three rings is = 6 * 6 * 6= 
6 * 6 * 6 = 216
216. Of these attempts, one of them is a successful attempt.   Maximum number of unsuccessful attempts= 216 - 1= 
216 - 1 = 215
215.   ANSWER:215
Answer: C
A baker filled with a measuring cup with 3/4 cup water. He poured 1/2 of the water into the batter, and then spilled 2/8 of the water on the floor. How much water will the baker needed to add what is left in the cup to have 50% more than what he started with?	Choose the correct choice from the following:  A) 1/8 cup  B) 3/8 cup  C) 1/4 cup  D) 1/2 cup  E) 8/8 cup

Solution: 3/4 is the original water in cup .half in batter.So left is 3/8 out which 2/8 is spilled out.So again left with 1/8.   so 50% more than what he started was = 3/4+1/2*(3/4)=9/8   Amount of water needed to add = 9/8 - 1/8=8/8   ANSW8/8 cupR:8/8 cup
Answer: E
A large tanker can be filled by two pipes A and B in 60 and 40 minutes respectively. How many minutes will it take to fill the tanker from empty state if B is used for half the time and A and B fill it together for the other half? Choose the correct choice from the following answers
A) 17 min  B) 18 min  C) 15 min  D) 30 min  E) 20 min

Solution: Part filled by (A + B) in 1 minute = (1/60 + 1/40) = 1/24   Suppose the tank is filled in x minutes.   Then, x/2(1/24 + 1/40) = 1   x/2 * 1/15 = 1 => x = 30 min.   Answer:30 min
Answer: D
The length of rectangle is thrice its breadth and its perimeter is 40 m, find the area of the rectangle? Choose the correct choice from the following choices:	A) 432	B) 212	C) 75	D) 992	E) 212

Solution: 2(3x + x) = 40   l = 15 b = 5   lb = 15 * 5= 
15 * 5 = 75
75   Answer:75
Answer: C
Rs.2600 is divided so that 4 times the first share, thrice the 2nd share and twice the third share amount to the same. What is the value of the third share?	Select the correct option.
A) s.1200 B) s.1542 C) s.1528 D) s.1540 E) s.1549

Solution: s.1200+B+C = 2600   4s.1200 = 3B = 2C = x   s.1200:B:C = 1/4:1/3:1/2 = 3:4:6   6/13 * 2600 = Rs.1200   s.1200nswer: s.1200
Answer: A
Find the least number which when divided by 5,6,7,8 leaves a remainder 3 but when divided by 9 leaves no remainder  Choose the correct choice from the following answers:
A) 9632
B) 7896
C) 8741
D) 1683
E) 8523

Solution: L.C.M Of 5,6,7,8=840   required number is of the form of 840K+3   least value of k for which (840k+3)is divided by 9 is k =2   required number=(840*2+3)= 
(840*2+3) = 1_683
1683   Answer(1683)
Answer: D
A certain company charges $6 per package to ship packages weighing less than 2 pounds each. For a package weighing 2 pounds or more, the company charges an initial fee of $6 plus $2 per pound. If the company charged $32 to ship a certain package, which of the following was the weight of the package, in pounds?	Choose the correct choice from the following choices
A) 9 B) 11 C) 13 D) 15 E) 17

Solution: Let the weight of the package be X.   2X + 6= 32   X = 13   The answer is 13.
Answer: C
A boat can travel with a speed of 24 km/hr in still water. If the speed of the stream is 4 km/hr, find the time taken by the boat to go 140 km downstream Choose the correct choice from the following options:
A) 3 hours
B) 4 hours
C) 5 hours
D) 6 hours
E) 7 hours

Solution: Explanation:   Speed of the boat in still water = 24 km/hr   speed of the stream = 4 km/hr   Speed downstream = (22+5) = 28 km/hr   Distance travelled downstream = 140 km   Time taken = distance/speed = 140/28= 
140/28 = 5
5 hours   Answer: Option 5 hours
Answer: C