MU-NLPC/Calc-aqua_rat huggingface dataset:
Find four consecutive even integers so that the sum of the first two added to twice the sum of the last two is equal to 748. Choose one:
A) 121 ,123 , 125 ,127
B) 120 ,122 , 125 ,128
C) 120 ,121 , 122 ,123
D) 123 ,125 , 127 ,129
E) None of these

Solution: Let x, x + 2, x + 4 and x + 6 be the four integers. The sum of the first two   x + (x + 2)   twice the sum of the last two is written as   2 ((x + 4) + (x + 6)) = 4 x + 20   sum of the first two added to twice the sum of the last two is equal to 748 is written as   x + (x + 2) + 4 x + 20 = 748   Solve for x and find all four numbers   x = 121 , x + 2 = 123 , x + 4 = 125 , x + 6 = 127   121 ,123 , 125 ,127nswer 121 ,123 , 125 ,127
Answer: A
For any integer k greater than 1, the symbol k* denotes the product of all the fractions of the form 1/t, where t is an integer between 1 and k, inclusive. What is the value of 6*/4* ?
Choose the correct choice from the following:  A) 5  B) 5/4  C) 4/5  D) 1/4  E) 1/5

Solution: When dealing with 'Symbolism' questions, it often helps to 'play with' the Symbol for a few moments before you attempt to answer the question that's asked. By understanding how the Symbol 'works', you should be able to do the latter calculations faster.   Here, we're told that K* is the PRODUCT of all the fractions of the form 1/T, where T is an integer between 1 and K, inclusive.   Based on this definition....   IF....   K = 2   K* = (1/1)(1/2) = 1/2   IF....   K = 3   K* = (1/1)(1/2)(1/3) = 1/6   We're asked to find the value of 5*/4*   Now that we know how the Symbol 'works', solving this problem shouldn't be too difficult. You can actually choose to do the math in a couple of different ways....   5* = (1/1)(1/2)(1/3)(1/4)(1/5)   1/4on't calculate this just yet though....since we're dividing by 4*, many of those fractions will 'cancel out.'   4* = (1/1)(1/2)(1/3)(1/4)   We're looking for the value of:   (1/1)(1/2)(1/3)(1/4)(1/5) / (1/1)(1/2)(1/3)(1/4)   Since the first four fraction in the numerator and denominator cancel out, we're left with just one fraction:   1/4   1/4
Answer: D
A man swims downstream 40 km and upstream 56 km taking 8 hours each time, what is the speed of the man in still water?  Choose the correct choice from the following choices.
A) 6  B) 24  C) 8  D) 12  E) 44

Solution: 40 --- 8 DS = 5   ? ---- 1   56 ---- 8 US = 7   ? ---- 1 M = ?   M = (5 + 7)/2= 
(5 + 7)/2 = 6
6   6nswer: 6
Answer: A
A man buys Rs. 52 shares paying 9% dividend. The man wants to have an interest of 12% on his money. The market value of each share is:
Answers:
A) s. 12
B) s. 15
C) s. 18
D) s. 21
E) s. 39

Solution: Dividend on Rs. 52 = Rs.	9/100	x 52 =Rs.	4.68	.   Rs. 12 is an income on Rs. 100.   Rs.	4.68	is an income on Rs.100/12 x 4.68	= Rs. 39.   Answer: Option s. 39
Answer: E
A 240 metres long train running at the speed of 120 kmph crosses another train running in opposite direction at the speed of 80 kmph in 9 seconds. What is the length of the other train? Pick one:	A) 230 m	B) 240 m	C) 260 m	D) 320 m	E) 330 m

Solution: Relative speed = (120 + 80) km/hr   =	(200 x(5/18))m/sec   =	(500/9)m/sec.   Let the length of the other train be x metres.   Then,	(x + 240)/9 = 500/9   x + 240 = 500   x = 260.   260 m
Answer: C
What will come in place of the x in the following Number series? 73205, 6655, 605, 55, x Choose the correct answer.
A) 64789  B) 73205  C) 97654  D) 45678  E) 85567

Solution: (73205)   5 x 11 = 55, 55 x 11 = 605, 605 x 11 = 6655, 6655 x 11 = 73205
Answer: B
The sum of the digits of a two-digit number is 15 and the difference between the digits is 3. What is the two-digit number? Choose the correct choice from the following answers: A) 69 B) 78 C) 96 D) Either (a) or (c) E) none of these

Solution: Let the ten's digit be x and unit's digit be y.   Then, x + y = 15 and x - y = 3 or y - x = 3.   Solving x + y = 15 and x - y = 3, we get: x = 9, y = 6.   Solving x + y = 15 and y - x = 3, we get: x = 6, y = 9.   So, the number is either 96 or 69.   ANSWER : Either (a) or (c)
Answer: D
1.A committee that includes 6 members is about to be divided into 2 subcommittees with 3 members each. On what percent of the possible subcommittees that Michael is a member of is David also a member	Choose the most appropriate option:  A) A.10%  B) B.39%  C) C.25%  D) D.60%  E) E.50%

Solution: A,C is too low so I eliminated those answers, E, D was too high of a number, so I chose B.39% as my final answer.B.39%
Answer: B
In a board game, a stack of 42 cards, 5 of which have pictures of fruit, are shuffled and then placed face down. If the first 2 cards selected do not have pictures of fruit, what is the probability that the third card selected will have a picture of fruit?  Choose one
A) 1/3  B) 1/4  C) 1/5  D) 1/6  E) 1/8

Solution: After 2 cards have been selected, there are 40 cards remaining.   P(third card has a picture of fruit) = 5/40 = 1/8   The answer is 1/8.
Answer: E
The sum of three consecutive even numbers is 24. Find the middle number of the three?	Choose the correct choice:
A) 14
B) 16
C) 18
D) 24
E) 34

Solution: Three consecutive even numbers (2P - 2), 2P, (2P + 2).   (2P - 2) + 2P + (2P + 2) = 24   6P = 24 => P = 4.   The middle number is: 4P = 16.   ANSWER:16
Answer: B
When the integer x is divided by the integer y, the remainder is 60. Which of the following is a possible value of the quotient x/y?
I. 15.15
II.18.19
III. 17.16	Choose the correct choice from the following answers: A) I only B) II only C) III only D) I and II only E) I and III only

Solution: Problem statement was difficult to parse. but some how I managed to understand what we can do.   1) x/y = 15 + 0.15   2) x/y = 18 + 0.19   3) x/y = 17 + 0.16   w.k.t x = yn (i.e Q) + yk=60 (i.e remainder)   therefore :   1) y*0.15=60 -- we can get y an integer.   2) y*0.19=60 -- we can't get y an integer.   3) y*0.16=60 -- we can get y an integer.   Therefore 1 and 3 are possible answers.   Ans I and III only.
Answer: E
When the integer k is divided by 7, the remainder is 6. Which of the following expressions below when divided by 7, will have a remainder of 5?
I. 4k + 2
II. 6k + 4
III. 8k + 3	Select
A) I only	B) II only	C) III only	D) I and II only	E) I, II and III

Solution: k = 7j + 6   4k + 2 = 28j + 24 + 2 = 28j + 21 + 5   6k + 4 = 42j + 36 + 4 = 42j + 35 + 5   8k + 3 = 56j + 48 + 3 = 56j + 49 + 2   The answer is I and II only.
Answer: D
A certain plant was 11 feet long on the day it was plantedthe length grows by a constant amount everyday(inc. the first day it was planted).
if this plant grew by 50% b/w the 4th day and 10 th day after it was planted ,how many feet per day does the plant grow  Choose one
A) a) 2 B) b) 4.5 C) c) 1.38 D) d) 5.5 E) e) 3

Solution: If the plant is 11 feet tall when it is planted, it will be 11 + k feet tall at the end of the day (where k is the constant length it grows by every day).   Similarly, at the end of the 4th day the plant must be 11 + 4k feet tall and at the end of the 10th day it must be 11 + 10k feet tall.   Therefore 6k = 0.5 (11 + 4k)   => k = 1.38   Therefore the plant grows by 1.38 feet every day.   Option (c) 1.38)
Answer: C
In how many ways can the letters {U, U, U, R, R,R} be arranged?	Choose the correct answer:	A) 20	B) 30	C) 120	D) 720	E) 840

Solution: My answer : 20   There is 6! ways to arrange those letters in total, however letter U repeats 3! times and letter R repeats 3! times   => the way to arrange without repeating = 6!/ [3!x3!] = 20
Answer: A
Two trains 180 m and 160 m long run at the speed of 60 km/hr and 40 km/hr respectively in opposite directions on parallel tracks. The time which they take to cross each other is?
Select.
A) 10.7 B) 10.9 C) 10.24 D) 12.24 E) 18.8

Solution: Relative speed = 60 + 40= 
60 + 40 = 100
100 km/hr.= 100 * 5/18 = 250/9 m/sec.   Distance covered in crossing each other = 180 + 160= 
180 + 160 = 340
340 m.   Required time= 340 * 9/250= 
340 * 9/250 = 306/25 = around 12.24
12.24 sec.   Answer:12.24
Answer: D
What is the sum of natural numbers between 30 and 100	Choices.
A) 4615  B) 4860  C) 5000  D) 5500  E) 5550

Solution: a = first number   l = last number   Sn = n/2[a + l]   between 30 and 100 numbers = 71 => 100 - 30= 
100 - 30 = 70
70 + 1= 
70 + 1 = 71
71   Sn= 71/2 Ã— 130 = 71 Ã— 65 = 4615   4615nswer : 4615
Answer: A
In how many different number of ways 5 boys and 5 girls can sit on a shopa which can accommodate 5 persons?	Pick one:
A) 30240
B) 2000
C) 3024
D) 3000
E) None

Solution: Option '30240'   10 p5 = 10x9x8x7x6= 30240
Answer: A
An bus covers a certain distance at a speed of 260 kmph in 5 hours. To cover the samedistance in 1hr, it must travel at a speed of?
Choose one:
A) 600 km/hr	B) 720 km/hr	C) 730 km/hr	D) 750 km/hr	E) 780 km/hr

Solution: Distance = (260 x 5) = 1300 km.   Speed = Distance/Time   Speed = 1300/(5/3) km/hr. [We can write 1 hours as 5/3 hours]   Required speed = 1300 x 3 km/hr = 780 km/hr.   780 km/hr
Answer: E
A sum of Rs. 12500 amounts to Rs. 17000 in 4 years at the rate of simple interest. What is the rate of interest? Choose the correct choice from the following choices.
A) 9%	B) 5%	C) 6%	D) 8%	E) 14%

Solution: S.I. = (17000 - 12500) = Rs. 4500/-   Rate = (100 * 4500) / (12500 * 4)= 
(100 * 4500) / (12500 * 4) = 9
9%   9%NSWER:9%
Answer: A
In how many ways can a team of 11 be chosen out of a batch of 15 players?  Choose the correct choice from the following choices:	A) 1000	B) 1245	C) 1325	D) 1415	E) 1365

Solution: required number of ways = 15C11 = 15C4 = 1365   Answer is 1365
Answer: E
An air-conditioning unit costs $470. On December there was a discount for Christmas of 16%. Six months later, the holiday season was over so the company raised the price of the air-conditioning by 20%. How much will an air-conditioning unit cost in November?
Options
A) $458	B) $470	C) $474	D) $484	E) $491

Solution: if its previous November (before discount) then price is $470.   but if its November of next year then   16% discount on $470=470(1-16/100)=$394.8   again a corrected raised price of 20% over $394.8=394.8(1+20/100)=473.76~$474   Ans $474
Answer: C
If by selling an article for Rs.60, a person loses 1/7 of money, what would he have gained or lost % by selling it for Rs.77? Choose the correct answer:  A) 6%  B) 10%  C) 14%  D) 15%  E) 20%

Solution: Sol. CP - = EC7 = 70 1-7 6 77-70 % Profit = 100 = 10%   10%
Answer: B
If two numbers are in the ratio 4:5. If 10 is added to both of the numbers then the ratio becomes 5:6 then find the smallest number?	Pick
A) 10 B) 20 C) 30 D) 40 E) 50

Solution: Explanation:   4:5   4x + 10 : 5x + 10 = 5 : 6   6[4x + 10] = 5[5x + 10]   24x + 60 = 25x + 50   25x - 24x = 60 - 50= 
60 - 50 = 10
10   Then smallest number is=4   4x = 40   Answer: Option 40
Answer: D
Fom the integer n, if n*n*n is odd, then what is true from below options?
Choices:
A) n is odd
B) n is even
C) n*n is even
D) n*n is odd
E) n is odd and n*n is even

Solution: n is odd and n*n is even   Option n is odd and n*n is even
Answer: E
Baby Isabel plays with blocks. Each block is 2.4 inches tall. She has a collection of 30 blocks. If she could stack all of the blocks up one on top of the other, how many inches tall would her tower of blocks be? Choose the correct choice from the following answers.
A) 67"	B) 90"	C) 72"	D) 120"	E) 151.7"

Solution: 2.4"*30=72". Answer is 72".2.4 *30= 
2.4 *30 = 72
72". Answer is 72".
Answer: C
A does a work in 30 days and B does the same work in 10 days. In how many days they together will do the same work ?
Select:  A) 5.5 days  B) 6.5 days  C) 7.5 days  D) 8.5 days  E) None of these

Solution: Explanation:   Firstly we will find 1 day work of both A and B, then by adding we can get collective days for them,   So,   A's 1 day work = 1/30   B's 1 day work = 1/10   (A+B)'s 1 day work =   (1/30+1/10)=2/15   So together they can complete work in 7.5 days.   Answer: 7.5 days
Answer: C
A farmer wishes to start a 100 sq. m. rectangular vegetable garden. Since he has only 30 meter barbed wire, he fences three sides of the garden letting his house compound wall act as the fourth side fencing. Then find the dimension of the garden.
Choose the correct choice from the following answers.
A) 10 m * 5 m B) 15 m * 5 m C) 20 m * 5 m D) 25 m * 5 m E) None of these

Solution: Explanation:   From the question, 2b+l = 30   => l = 30-2b   Area=100m2=>l×b=100=>b(30−2b)=100b2−15b+50=0=>(b−10)(b−5)=0   Area=100m2   =>l×b=100   =>b(30−2b)=100   b2−15b+50=0   =>(b−10)(b−5)=0   b = 10 or b = 5   when b = 10 then l = 10   when b = 5 then l = 20   Since the garden is rectangular so we will take value of breadth 5.   So its dimensions are 20 m * 5 m   Option 20 m * 5 m
Answer: C
4 mat-weavers can weave 4 mats in 4 days. At the same rate, how many mats would be woven by 16 mat-weavers in 16 days? Choose the correct option:
A) 25	B) 19	C) 39	D) 61	E) 64

Solution: Let the required number of bottles be x.   More weavers, More mats (Direct Proportion)   More days, More mats (Direct Proportion)   Wavers	4	:	16 :: 4 : x   Days	4:16   4 * 4 * x = 16 * 16 * 4   x =	(16 * 16 * 4)/(4 x 4)   x = 64.   Answer is 64.
Answer: E
A bag contains an equal number of one rupee, 50 paise and 25 paise coins respectively. If the total value is 210, how many coins of each type are there?
Choose the correct choice from the following answers
A) 20 coins  B) 50 coins  C) 100 coins  D) 120 coins  E) None of these

Solution: Let number of each type of coin = x. Then,   1 × x + .50 × x + .25x = 210   ⇒ 1.75x = 210 ⇒ x = 120 coins   Answer 120 coins
Answer: D
Given two fair dice, what is the probability G that the sum of their numbers is 4 if exactly one die shows a 3? Pick one.
A) a) 2/11  B) b) 1/18  C) c) 3/11  D) d) 2/39  E) e) 1/5

Solution: If exactly one die shows 3, there are 10 such combinations (given that we have 2 fair dice).   1:3, 2:3, 4:3, 5:3, 6:3,   3:1, 3:2, 3:4, 3:5, 3:6   The sum of numbers would be 4 for two events: 1:3, 3:1.   G=2/11 would be the answer if 'at least one of the die shows a 3'.a) 2/11
Answer: A
The population of a bacteria colony doubles every day. If it was started 8 days ago with 2 bacteria and each bacteria lives for 12 days, how large is the colony today? Pick.
A) 512 B) 768 C) 1024 D) 2048 E) 4096

Solution: 8 days ago- 2   7 days ago- 4   6 days ago- 8   5 days ago- 16   4 days ago- 32   3 days ago- 64   2 days ago- 128   Yesterday- 256   Today-512   512ns:512
Answer: A
A cubical tank is filled with water to a level of 3 feet. If the water in the tank occupies 48 cubic feet, to what fraction of its capacity is the tank filled with water? Pick:
A) 1/2 B) 2/3 C) 3/4 D) 4/5 E) 5/6

Solution: The volume of water in the tank is H*L*B = 48 cubic feet.   Since H = 3, then L*B = 16 and L = B = 4.   Since the tank is cubical, the capacity of the tank is   4*4*4= 
  4*4*4 = 64
64.   The ratio of the water in the tank to the capacity is 48/64= 3/4   The answer is 3/4.
Answer: C
Goldenrod and No Hope are in a horse race with 6 contestants. How many different Q arrangements of finishes are there if No Hope always finishes before Goldenrod and if all of the horses finish the race? Choose the correct choice from the following choices:
A) 720
B) 360
C) 120
D) 24
E) 21

Solution: no hope finishing before goldenrod= 1/2 of the times   therefore the different arrangements Q are 1/2* 6! = 360 = 360
Answer: B
X and Y started a business investing Rs. 48,000 and Rs. 40,000 respectively. In what ratio the profit earned after 6 years be divided between X and Y respectively?	Choose the correct choice from the following answers: A) 6:5 B) 5:6 C) 4:6 D) 6:7 E) None of these

Solution: X:Y = 48000 : 40000 = 6:5.   6:5NSWER:6:5
Answer: A
7 teams compete in a track competition. If there are 18 events in the competition, no event ends in a tie, and no team wins more than 3 events, what is the minimum possible number of teams that won at least one event?  Pick one: A) 3 B) 4 C) 5 D) 6 E) 7

Solution: 3(max wins) x 6 =18 (6 teams win three events)   The answer is 6.
Answer: D
At the faculty of Aerospace Engineering, 312 students study Random-processing methods, 234 students study Scramjet rocket engines and 112 students study them both. If every student in the faculty has to study one of the two subjects, how many students are there in the faculty of Aerospace Engineering?	Choose the correct option:
A) 430	B) 434	C) 438	D) 444	E) 446

Solution: 312 + 234 - 112 (since 112 is counted twice )= 434   434 is the answer
Answer: B
A no.when divided by 220 gives a remainder 43, what remainder will beobtained by dividingthe same no.67?	Pick: A) 4 B) 6 C) 9 D) 11 E) 14

Solution: 221 + 43= 
221 + 43 = 264
264/17= 9 (Remainder)   9
Answer: C
Samantha's investment portfolio consists of three stocks: an airline, a bank, and a computer company. In the month of February, the price of the airline's stock rose by 10%, that of the bank decreased by 10% and that of the computer company also decreased by 15%, but the overall value of her portfolio increased. If Samantha owns equal amounts of all three stocks, which of the following could be the initial prices of the three stocks in the order airline, bank, and computer company respectively?
Choose the correct choice from the following options:  A) $55, $85, $40  B) $85, $25, $20  C) $65, $55, $90  D) $65, $60, $60  E) $25, $60, $70

Solution: Since Samantha owns equal amounts of stocks, the 10% increase alone should set off the 10% and 15%decrease in each of the other two stocks. i.e The stock which increased should have a substantially higher value than the two stocks which decreased. Between B and D, D is obviously the safer bet and is the right answer.   Answer is $85, $25, $20.
Answer: B
Statements: In a one day cricket match, the total runs made by a team were 200. Out of these 160 runs were made by spinners. Conclusions: 1) 80% of the team consists of spinners. 2) The opening batsmen were spinners.
Choose the correct choice from the following choices
A) Only conclusion I follows  B) Only conclusion II follows  C) Either I or II follows  D) Neither I nor II follows  E) Both I and II follow

Solution: According to the statement, 80% of the total runs were made by spinners. So, I does not follow. Nothing about the opening batsmen is mentioned in the statement. So, II also does not follow.   Neither I nor II follows
Answer: D
Sum of two numbers is 10. Two times of the first exceeds by 5 from the three times of the other. Then the numbers will be? Pick.
A) A)7 B) B)9 C) C)11 D) D)13 E) E)15

Solution: Explanation:   x + y = 10   2x – 3y = 5   x = 7 y = 3   7)
Answer: A
In a Festival season Director informed his 15 staffs with their family to go for a one day tour. Some ladies are married and some are unmarried and some having their Kids. Director & 6 staffs are married with 1 kid each. Total how many members in the Vehicle? Select the correct option: A) 21 B) 30 C) 40 D) 25 E) 29

Solution: Married Staffs with their family = 6 X3 = 18 persons   Director with family = 1x3 = 3 persons   Unmarried staffs = 9   Total persons = 30   Answer is 30
Answer: B
George can do 3/5 of work in 9days.He then calls in pauls and they completed the work in 4days.How long paul would take long to complete the work?  Choose the correct choice from the following answers:	A) 32	B) 28	C) 35	D) 30	E) 22

Solution: George work is (5/3)*9= 
(5/3)*9 = 15
15;   1 day work of george is 1/15 ;   remaining is 2/5th;   paul & george work is  5/2*4= 
 5/2*4 = 10
10 ;   their 1 day work is 1/10;   and only paul work is (1/10)-(1/15)=30   ANSWER:30
Answer: D
The value of 40 coins of 10 p and 20 p is Rs. 5.50. The number of 20 p coins is Choose the correct choice from the following answers
A) 15	B) 25	C) 30	D) 35	E) 40

Solution: Let the number of 20 paise coins be x.   Then, number of 10 paise coins = (40 – x).   10(40 – x) + 20x = 550 or 10x = 150 or x = 15.   15NSWER:15
Answer: A
If 20 men can build a wall 66 metres long in 15 days, what length of a similar can be built by 86 men in 8 days?	Options.
A) 151.36 mtrs  B) 378.4 mtrs  C) 478.4 mtrs  D) 488.4 mtrs  E) 578.4 mtrs

Solution: If 20 men can build a wall 66 metres long in 15 days,   length of a similar wall that can be built by 86 men in 8 days = (66*86*8)/(15*20)= 
(66*86*8)/(15*20) = 3_784/25 = around 151.36
151.36 mtrs   151.36 mtrsNSWER:151.36 mtrs
Answer: A
There are r red ball, b blue ball and w white ball in a bag. What is the ratio of the number of blue ball to the total no. of ball in terms of r, b and w.? Choose the correct choice:
A) r / (r + b + w)
B) r * (r + b + w)
C) (r + b + w)
D) r / (r + b )
E) r / (b + w)

Solution: The total number of marbles is   r + b + w   The total ratio of blue marbles to the total number of marbles is   r / (r + b + w)   r / (r + b + w)
Answer: A
Becky sets up a hot dog stand in her busy neighborhood and purchases x pounds of hot dogs for u dollars per pound. If she has to throw away s pounds of hot dogs due to spoilage and she sells the rest of the hot dogs for d dollars per pound, which of the following represents the net profit on the sale of the hot dogs?
Choose the correct choice from the following
A) (x – s)u – sd	B) xu – (xd – sd)	C) xd – su	D) (x – s)d – xu	E) (s – u)d – xu

Solution: Answer D:   The amount of hotdogs she can sell is x-s. The price per pound is d, so the revenue is (x-s)d. The total costs are x time u, so the profit is (x-s)d-xu.
Answer: D
A man swims downstream 30 km and upstream 18 km taking 6 hours each time, what is the speed of the man in still water?  Select the correct option:
A) 7 B) 8 C) 5 D) 2 E) 4

Solution: 30 --- 6 DS = 5   ? ---- 1   18 ---- 6 US = 3   ? ---- 1 M = ?   M = (5 + 3)/2= 
(5 + 3)/2 = 4
4   Answer:4
Answer: E
A man swims downstream 72 km and upstream 45 km taking 9 hours each time; what is the speed of the current? Select
A) 1.5 B) 2.8 C) 5.8 D) 3.4 E) 2.3

Solution: 72 --- 9 DS = 8   ? ---- 1   45 ---- 9 US = 5   ? ---- 1 S = ?   S = (8 - 5)/2= 
(8 - 5)/2 = 3/2 = around 1.5
1.5   Answer: 2.8
Answer: B
Eight people went to a restaurant for dinner. Seven of them spent $6 each on their meals and the eighth spent $14 more than the average expenditure of all eight people. What was the total amount of money that the eight people spent?  Select
A) $56  B) $60  C) $64  D) $68  E) $72

Solution: Let T be the total amount of money spent.   7*6 + (T/8 + 14) = T   56 = 7T/8   T = (8*56)/7= 
(8*56)/7 = 64
64   The answer is $64.
Answer: C
When the sum of two numbers is multiplied by 5, the product is divisible by 15. Which one of the following pairs of numbers satisfies the above condition?  Answers:
A) 240, 355
B) 250, 341
C) 245, 342
D) 250, 261
E) NOne

Solution: Sol.   Clearly, 5 x (sum of numbers) is divisible by 15.   ∴ Sum of numbers must be divisible by 3.   Now, (250+341) = 591 is divisible by 3. So, required pair is 250, 341.   Answer 250, 341
Answer: B
A person borrows Rs. 6000 for 2 years at 4% p.a. simple interest. He immediately lends it to another person at 6 p.a for 2 years. Find his gain in the transaction per year.  Choose the correct choice from the following options.
A) 120 rs	B) 150 rs	C) 160 rs	D) 180 rs	E) 200 rs

Solution: Gain in 2 years =   [(6000*6*2)/100]-[(6000*4*2)/100]    720-480= 
 720-480 = 240
240   Gain in 1 year=(240/2)= 
(240/2) = 120
120 rs   120 rsNSWER:120 rs
Answer: A
he average weight of 8 persons increases by 2.5 kg when a new person comes in place of one of them weighing 65 kg. What might be the weight of the new person ?  Choose one:  A) 75 kg  B) 55 kg  C) 45 kg  D) 85 kg  E) 25 kg

Solution: Explanation:   Total weight increased = (8 x 2.5) kg = 20 kg.   Weight of new person = (65 + 20)= 
(65 + 20) = 85
85 kg.   Answer: 85 kg
Answer: D
If w = 9/25, m = 15/32, and m + w + c = 1, which of the following gives the values of m, w, and c in increasing order? Answers
A) c, m, w
B) c, w, m
C) m, w, c
D) w, c, m
E) w, m, c

Solution: Answer c, w, m - c, w, m   w ~ 1/3   m ~ 1/2   and m+w+c = 1 hence c ~ 1/6   Hence increasing order would be c -> w -> m   Answer c, w, m
Answer: B
Convert 20miles into yards?
Select.
A) 25630 yards B) 35200 yards C) 39520 yards D) 42560 yards E) 41520 yards

Solution: 1 mile = 1760 yards   20 miles = 20*1760= 
20*1760 = 35_200
35200 yards   Answer is 35200 yards
Answer: B