MU-NLPC/Calc-aqua_rat huggingface dataset:
A tourist does not have to pay tax on the first $600 of goods he purchases in Country B, but does have to pay a 10 percent tax on the portion of the total value that is in excess of $600. What tax must be paid by a tourist if he buys goods with a total value of $1720? Pick:	A) $112.00	B) $64.80	C) $90.00	D) $100.80	E) $154.80

Solution: Correct Answer: A   The tourist must pay tax on $1720 - $600 = $1120. Thus, the amount of tax he has to pay is 0.1 ($1120) 1720 -  600= 
1720 -  600 = 1_120
$1120. Thus, the amount of tax he has to pay is 0.1 ($1120)= $112. The correct answer is $112.00.
Answer: A
A and B can do a piece of work in 7 days. With the help of C they finish the work in 5 days. C alone can do that piece of work in?
Answers
A) 1 day	B) 10 days	C) 30 days	D) 32 days	E) 34 days

Solution: Explanation:   30 days = 1/5 – 1/6 = 1/30 => 30 days   Answer: 30 days
Answer: C
Two numbers differ by 5. If their product is 336, then the sum of the two numbers is	Choose one
A) 21 B) 28 C) 37 D) 51 E) None of these

Solution: Sol.   Let the number be x and y.   Then, x - y = 5 and xy = 336.   ⇔ (x+y)2 = (x-y)2 + 4xy = 25 + 4 x 336 = 1369   ⇒ x+y = √1369 = 37.   Answer 37
Answer: C
If a car went the first third of the distance at 80 kmh, the second third at 24 kmh, and the last third at 60 kmh, what was the average speed of the car for the entire trip?  Choose the correct choice from the following.
A) 36 kmh  B) 40 kmh  C) 42 kmh  D) 44 kmh  E) 50 kmh

Solution: Assume D/3 = 240 (this number is convenient because it is divisible by 80, 24 and 60)   So:   240 = 80*T1 = 3 hrs   240 = 24*T2 = 10 hrs   240 = 60*T3 = 4 hrs   T = T1 + T2 + T3 = 17 hrs   D = RT   (240*3) = R*17   R = 42.35   ANSWER: 42 kmh
Answer: C
There is enough provisions for 4800 boys in a hostel for 200 days. If there were 2400 men less, how long will the provision last?	Choices:
A) 300
B) 350
C) 400
D) 450
E) 500

Solution: We have, M1D1 = M2D2   4800*200= 2400* D2   D2 = 4800*200/2400= 
4800*200/2400 = 400
400 days.   ANSWER:400
Answer: C
If 8 persons meet at a reunion and each person shakes hands exactly once with each of the others, what is the total number of handshakes?	Pick one:
A) 10•9•8•7•6•5•4•3•2•1 B) 10•10 C) 10•9 D) 45 E) 28

Solution: We got #10 people who shake each other's hands once ==> a pair of 2   8!/6!2! = 8*7 / 2*1= 
8*7 / 2*1 = 28
28.   Hence answer 28.
Answer: E
Zoey won the lottery and got $7,348,340. she wants to split it among herself and 5 friends evenly. how much money must she add if she wants to split it evenly?	Pick.
A) $3  B) $2  C) $9  D) $1  E) $4

Solution: Zoey and her 5 friends is 6 people in all. $7,348,340 must be divisible by 6 if she wants to split it evenly. The money is divisible by 6 if it's divisible by 2 and 3. 7+3+4+8+3+4+0=29. 2 and 3 cant go into 29. Adding 1 dollar makes it 30. 2 and 3 can go into 30 so 6 can also. The answer is $1.
Answer: D
What is the place value of 8 in the numeral 2834?	Choose the correct answer:
A) 800	B) 567	C) 560	D) 760	E) 650

Solution: Option '800'    8 * 100= 
 8 * 100 = 800
800
Answer: A
Calculate the share of profit that belongs to Elvis in a partnership business he invested Rs 21,500. His partner Daryl invested RS.28,900 and the business made a profit of Rs 12,500.
Choose the most appropriate option: A) 5311.34 B) 5332.34 C) 2132.34 D) 5092.34 E) 1332.34

Solution: Explanation:   Ratio of their shares = 21,500 : 28,900 = 215 : 289.   Elvis' share = Rs. (12,500 * 215/504) = Rs. 5332.34.   Answer: 5332.34) 5332.34
Answer: B
We run a business that rents out canoes and kayaks. A canoe rental costs $14 per day, and a kayak rental costs $15 dollars per day. One day, our business rents out 3 canoes for every 2 kayaks and receives a total of $288 in revenue. How many more canoes than kayaks were rented out?	Pick one
A) 3	B) 4	C) 5	D) 6	E) 7

Solution: Let x be the number of canoes.   Then 2x/3 is the number of kayaks.   14x+(2x/3)*15=288   14x+10x=288   24x=288   x=12 (canoes)   2x/3=8 (kayaks)   There were   12-8= 
  12-8 = 4
4 more canoes rented out.   The answer is 4.
Answer: B
When working alone, painter W can paint a room in 2 hours, and working alone, painter X can paint the same room in r hours. When the two painters work together and independently, they can paint the room in 3/4 of an hour. What is the value of r?	Choose the correct choice from the following choices:
A) 3/4
B) 1[1/5]
C) 1[2/5]
D) 1[3/4]
E) 2

Solution: Rate*Time=Work   Let Painter W's rate be W and Painter X's rate be X   R*T = Work   W * 2 = 1 (If the work done is same throughout the question then the work done can be taken as 1) => W = 1/2   X * r = 1 => X = 1/z   When they both work together then their rates get added up   Combined Rate = (W+X)   R*T = Work   (W+X) * 3/4 = 1   => W+X = 4/3   => 1/2 + 1/r = 4/3   => 1/r = (8-3)/6 = 5/6   => r = 6/5 = 1[1/5]   Answer 1[1/5]
Answer: B
O(x) represents the least odd integer greater than x, whereas o(x) represents the greatest odd integer less than x. Likewise, E(x) represents the least even integer greater than x, whereas e(x) represents the greatest even integer less than x. According to these definitions, the value of O(3.2) + E(–1.7) + o(–3.3) + e(4.7) is:  Choose the correct answer
A) 3 B) 4 C) 5 D) 6 E) 7

Solution: O(3.2) + E(–1.7) + o(–3.3) + e(4.7) = 5 + 0 + (-5) + 4= 
5 + 0 + (-5) + 4 = 4
4   The answer is 4.
Answer: B
A room contains 160 people, 15 percent of whom are women. A group of people, 30 percent of whom are women, leaves the room. Of the people remaining in the room, 10 percent are women. How many people left the room?
Answers:	A) 10	B) 20	C) 40	D) 60	E) 80

Solution: Say group of x people left the room.   # of women in the room was 0.15*160= 
0.15*160 = 24
24;   # of women in the group that left 0.3x;   # of women in the room after the group left it is 0.1(160-x);   So, 24-0.3x= 0.1(160-x) --> x=40.   Answer: 40.
Answer: C
A certain gallery is hanging a series of 5 paintings. All the paintings will be exhibited in a row along a single wall. Exactly 2 of the paintings are on panel, the remainder are on canvas. In how many ways can the paintings be exhibited if the works on panel must be the second and sixth in the row?
OE
Choose one:
A) 240  B) 200  C) 122  D) 80  E) 12

Solution: We need to consider them separately because the question specifies:   1. Panel paintings have to be placed only at 2nd and 5th place.   2. Implies that Canvas has to be placed 1,3,4,th place.   So we have two separatebucketsto consider.   So panels can be ordered in 2!   Canvas can be ordered in 3!   since relative position of panels to canvas is fixed (Panels 2nd and 5th) the answer is 2! x 3! = 12   12
Answer: E
a number divided by 64 leaves remainder 37 what is the remainder when same number divided by 5
Select the correct option.
A) 7
B) 8
C) 6
D) 3
E) 1

Solution: add 64+37= 
64+37 = 101
101   now 101 divided by 5 so we get 1 as reaminder   ANSW1R:1
Answer: E
In how many different ways can the letters of the word ‘PREPTY’ be arranged?
Choose the correct choice from the following choices
A) 160 B) 190 C) 210 D) 368 E) 360

Solution: Number of ways = 61/21 6X5X4X3X2X1 - 360   360
Answer: E
The ages of Nishi and vinnee are in the ratio of 6: 5 respectively. After 9 yr the ratio of their ages will be 9: 8. What is the difference in their ages? Select
A) 5 B) 6 C) 7 D) 8 E) 1

Solution: Answer:7
Answer: C
Susan has four apples. How many ways can she eat one or more apples?
Choose one:
A) 15 B) 44 C) 38 D) 12 E) 23

Solution: Susan can eat one or more of four apples   = > 2 ^ 4 -1 = 15   15
Answer: A
A completes a work in 8 days and B complete the same work in 24 days. If both of them work together, then the number of days required to complete the work will be?  Choose the correct choice from the following options:
A) 6 days	B) 11 days	C) 21 days	D) 22 days	E) 24 days

Solution: If A can complete a work in x days and B can complete the same work in y days, then, both   of them together can complete the work in x y/ x+ y days   Therefore, here, the required number of days = 8 Ã— 24/ 32 = 6 days.   Option '6 days'
Answer: A
In a certain country ½ of 7 = 3. Assuming the same proportion, what would be the value of 1/3 of 21 ? Choose the most appropriate option:	A) 7	B) 6	C) 3	D) 4	E) 5

Solution: 6   6
Answer: B
A man walks at a rate of 10 mph. After every ten miles, he rests for 8 minutes. How much time does he take to walk 50 miles?  Choose the correct choice:
A) 300
B) 318
C) 322
D) 324
E) 332

Solution: To cover 50 miles the man needs (time) = (distance)/(rate) = 50/10= 
50/10 = 5
5 hours= 300 minutes. He will also rest 4 times (after 10, 20, 30 and 40 miles), so total resting time = 4*8= 
4*8 = 32
32 minutes.   Total time= 300 + 32= 
300 + 32 = 332
332 minutes.   Answer: 332.
Answer: E
For what values of k will the pair of equations 6x + 8y = 24 and kx + 12y = 30 does not have a unique solution?	Choose the correct choice from the following choices:
A) 12
B) 9
C) 3
D) 7.5
E) 2.5

Solution: we have 2 equations   1. 6x + 8y = 24 --> 3x + 4y = 12 -- > 9x + 12y = 36   2. kx + 12y = 30   substract 1-2, we get (9-K)x = 6   i.e. x = 6/(9-k)   then, by looking at options, we get some value of x except for B. When we put k=9, x becomes 6/0 and hence answer is 9
Answer: B
T and F represent two distinct digits. If the number 457T89F is divisible by 36, what is the value of (T+F)?  Select the correct option
A) a) 9  B) b) 3  C) c) 12  D) d) 6  E) e) 10

Solution: A no. divisible by 36 means it is div by 49 .   to be div by 4 last 2 digits to be multiple of 4 So, F could be either 2 or 6 only   similarly for a number to be div by 9 its sum must be multiple of 9 first. filtering we find T could be either 1,4,7 only.   To be divisible by 9 only 1 works .(if we choose f=6 then T have to be 6 but as per condition TF are distinct) So   T=1   F=2   Ans:- 3.b) 3
Answer: B
X and Y are integers, X is even and negative, Y is odd and positive. Which of the following could be false?
1. (X + Y) is an even number.
2. Y^(X + Y) is an integer.
3. X^Y is a positive number. Choose the correct choice:  A) 2 only.  B) 3 only.  C) 1 and 3 only.  D) 2 and 3 only.  E) None of these

Solution: Statement I is not TRUNone of these   Statement II is not TRUNone of these   Statement III is not TRUNone of these   Answer : None of these
Answer: E
The number of the members of a club is more than 20 and less than 50. When 5 people sit at a table, other people exactly divided to 6-people groups (6 people sit at a table) or 7-people groups (7 people sit at a table). If the members are divided to 8-people groups, how many people will be left? Options.
A) 3	B) 4	C) 5	D) 6	E) 7

Solution: The number of members is 7k+5 = 6j+5   The only number in this range which satisfies this is 47.   47/8 = 5(8) + 7   The answer is 7.
Answer: E
A man swims downstream 30 km and upstream 12 km taking 3 hours each time, what is the speed of the man in still water?  Select.
A) 8
B) 7
C) 5
D) 2
E) 4

Solution: 30 --- 3 DS = 10   ? ---- 1   12 ---- 3 US = 4   ? ---- 1 M = ?   M = (10 + 4)/2= 
(10 + 4)/2 = 7
7   Answer:7
Answer: B
When a number is divided by 31, the remainder is 29. When the same number is divided by 16, what will be the remainder?  Choose the correct choice from the following answers
A) 11 B) 13 C) 15 D) Data inadequate E) None of these

Solution: Number= (31 * Q)+ 29. Given data is inadequate.   Answer: Data inadequate
Answer: D
There are two boxes, one containing 10 red balls and the other containing 10 green balls. You are allowed to move the balls between the boxes so that when you choose a box at random and a ball at random from the chosen box, the probability of getting a red ball is maximized. This maximum probability is Pick one.
A) 14/19  B) 14/18  C) 14/11  D) 14/13  E) 14/15

Solution: If rearrangement is not allowed, then actual probability of picking up a red ball = 12(10)+12(0)=1212(10)+12(0)=12   As we are allowed to move the balls, we keep only 1 red in the first box, and shirt the remaining 9 to the second.   So = 12×(1)+12×91/9=14/19
Answer: A
If a, b, c are consecutive positive integers and a<b<c, which of the following must be true?
I. a-b is positive integer
II. ab is an even integer
III. (a+b+c)/2 is an integer
Choose the correct answer:
A) II only
B) I only
C) III only
D) II,III only
E) I,III only

Solution: a<b, a-b is negative.   odd* even or even * even = even   1+2+3= 
1+2+3 = 6
6/2= 
6/2 = 3
3 is an integer   Answer : II,III only
Answer: D
During the first two weeks of April, the total rainfall in Springdale was 30 inches. If the rainfall during the second week was 1.5 times the rainfall during the first week, what was the rainfall in inches during the second week of April?
Choose one:
A) 12
B) 15
C) 16
D) 18
E) 20

Solution: Let x be the rainfall in the first week. Then 1.5x was the rainfall in the second week.   2.5x = 30   x = 12   The rainfall during the second week was  1.5 * 12= 
 1.5 * 12 = 18
18 inches   The answer is 18.
Answer: D
What is the maximum number of pieces of birthday cake of size 4” by 4” that can be cut from a cake 16” by 16”? Choose the correct choice from the following choices
A) 5	B) 4	C) 16	D) 20	E) 25

Solution: The prompt is essentially asking for the maximum number of 4x 4 squares that can be cut from a larger 16 by 16 square. Since each 'row' and each 'column' of the larger square can be sub-divided into 4 'pieces' each, we have (4)(4) = 16 total smaller squares (at maximum).   16
Answer: C
At Atira's party there were five times as many females as males. There were three times as many adults as children. Which of the following could NOT be the number of people at the party?
Choose the correct choice:
A) 384	B) 258	C) 216	D) 120	E) 72

Solution: we have to work on the info and understand what that info takes us to...   1) there were five times as many females as males At Atira's party..   this means F=5M.. so total number=6M..   2) There were three times as many adults as children..   A=3C...   or total = 4C..   so the total is 4C or 6M..   since C and M have to be positive integers, we can say for sure that Total is a multiple of 4 and 6..   or Total is multiple of LCM of 4,6..   LCM of 4,6= 12..   lets see which number is not multiple of 12..   A. 384...12*32   B. 258... no   C. 216....12*18   D. 120....12*10   E. 72......12*6..   so 258 is our answer..
Answer: B
A sum was put at simple interest at a certain rate for 4 years Had it been put at 2% higher rate, it would have fetched 56 more. Find the sum. Choose the correct choice from the following answers
A) 500	B) 600	C) 700	D) 800	E) None of these

Solution: Difference in S.I. = P×T/100(R1−R2)   ⇒ 56 = P×4×2/100(∵ R1 - R2 = 2)   ⇒ P = 56×100/4×2=700   Answer 700
Answer: C
The area of a square field 3136 sq m, if the length of cost of drawing barbed wire 3 m around the field at the rate of Rs.1.40 per meter. Two gates of 1 m width each are to be left for entrance. What is the total cost?
Choose the correct choice from the following options
A) 399	B) 272	C) 932.4	D) 277	E) 311

Solution: Answer: Option 932.4   Explanation:   a2 = 3136 => a = 56   56 * 4 * 3= 
56 * 4 * 3 = 672
672 â€“ 6= 666 * 1.4= 
666 * 1.4 = 932.4
932.4 Answer: 932.4
Answer: C
In a urban village of india named "owlna" , 70% people have refrigerator , 75% people have television , 90% people got computers and 85% got Air-conditionor. how many people(minimum) got all these luxury.  Choose the correct choice: A) 23% B) 17% C) 11% D) 10% E) 20%

Solution: 20%   10%   100 - [ (100-85)+(100-90)+(100-75) +(100-70)]   =100-(30+25+10+15)   =100-80
Answer: E
A box contains 3 blue marbles, 4 red, 6 green marbles and 2 yellow marbles. If three marbles are drawn what is the probability that one is yellow and two are red?
Choose the most appropriate option:	A) 12/459	B) 12/489	C) 12/455	D) 12/454	E) 12/451

Solution: Given that there are three blue marbles, four red marbles, six green marbles and two yellow marbles.   When three marbles are drawn, the probability that one is yellow and two are red   = (²12/455₁)(⁴12/455₂)/¹⁵12/455₃   = (2 * 4 * 3 * 3 * 2)/(1 * 2 * 15 * 14 * 13)   = 12/455   Answer: 12/455
Answer: C
A can do a piece of work in 18 days and B alone can do it in 10 days. B works at it for 5 days and then leaves. A alone can finish the remaining work in  Choices.
A) 5days B) 6days C) 7.5days D) 8.5days E) 9days

Solution: 9daysxplanation:   B's 5 days work =   1/10∗5=1/2   Remaining work =1−1/2=1/2   A can finish work =18∗1/2=9 days   Option 9days
Answer: E
There are y different travelers who each have a choice of vacationing at one of n different destinations. What is the probability that all y travelers will end up vacationing at the same destination?	Choose the correct choice from the following choices
A) 1/n!
B) n/n!
C) 1/n^y
D) 1/n^(y-1)
E) n/y^n

Solution: The simplest way to look at it is to assume that the first traveler picks a place. All the remaining travelers (given as y-1) now need to pick the same place for vacation.   As a result the probability is equivalent to (1/n) for each traveler to pick that same spot as the original traveler, which has to happen (y-1) times.   P=1n∗1n∗...∗1nP=1n∗1n∗...∗1n (y-1) times   P=1n(y−1)   The answer is 1/n^(y-1): 1/n^(y-1).
Answer: D
1/7 of 133 of 46% of 924 = ?
Options:
A) 7075  B) 8025  C) 8075  D) 9025  E) 9075

Solution: Explanation :   ? = 1/7 x 133 x 46/100 x 924   = 8075.76 = 8075   Answer : Option 8075
Answer: C
Kim can walk 4 kilometers in one hour. How long does it take Kim to walk 18 kilometers? Choose the correct choice from the following:	A) 8 hours and 24minutes.	B) 6 hours and 45 minutes.	C) 3 hours and 60 minutes.	D) 4 hours and 30 minutes.	E) 2 hours and 19 minutes.

Solution: The time it takes Kim to walk 18 kilometers is equal to     18 / 4= 
  18 / 4 = 9/2 = around 4.5
4.5 hours= 4 hours + 0.5 ? 60 minutes   = 4 hours and 30 minutes.   correct answer 4 hours and 30 minutes.
Answer: D
In a bag there are a certain number of blue balls and white balls. The probability of picking up exactly 1 white ball when 2 balls are randomly drawn, is 1/2. Which of the following is the ratio of the number of blue balls to white balls in the bag
Pick one: A) 1:1 B) 1:2 C) 1:5 D) 1:4 E) 1:6

Solution: since the probability of drawing a white ball out of two picks is 1/2.   the ratio of the white ball to blue balls should be 1:1   1:1nswer : 1:1
Answer: A
There are 8 students. 4 of them are men and 4 of them are women. If 4 students are selected from the 8 students. What is the probability T that the number of men is equal to that of women? Choose the correct choice from the following choices:  A) T=18/35  B) 16/35  C) 14/35  D) 13/35  E) 12/35

Solution: METHOD- 1:   Favorable outcomes (i.e. No. of Men= No. of Women =2) = 4C2 * 4C2 = 6*6= 
6*6 = 36
36   Total ways of selecting 4 out of 8 Students= 8C4 = 8! / (4! * 4!) = 70   Probability = 36/70 = 18/35   A   METHOD-2:Also see the mistake done by the person who posted this question   Probability of First selected person being Man = 4/8   Probability of Second selected person being Man = 3/7   Probability of First selected person being Woman = 4/6   Probability of Second selected person being Woman = 3/5   i.e. Probability = (4/8)*(3/7)*(4/6)*(3/5) *[4!/(2!*2!)]= 18/35   The important part for the readers is to understand the reason of multiplying[4!/(2!*2!)]here   When we take the probability of each case like we have have taken in this method then it always include T=18/35RRT=18/35NGEMENTS as well and so we have to take every arrangement of the events as well   The arrangement of these 4 events can be done in 4! ways but since the second man can't be selected before 1st so we have to exclude their arrangement by dividing by 2! and similarly since the second Woman can't be selected before 1st so we have to exclude their arrangement by dividing by 2!   T=18/35
Answer: A
An investor receives a total combined return of 7% on his two different investments. On his $40,000 investment he receives a return of 6%. What is the return on his $20,000 investment?	Choose one:	A) 7.25%	B) 7.5%	C) 8%	D) 8.5%	E) 9%

Solution: 0.06 * 40000 + 20000x = 0.07(60000)   solving for x give x = 9%   option 9%
Answer: E
It is the New Year and Mandy has made a resolution to lose weight this year. She plans to exercise and do yoga. For exercise she plans to workout at the gym and ride her bicycle in the ratio of 2:3 everyday. She will also do yoga in the ratio, yoga:exercise = 2:3. If she rides her bike for 16 minutes, how much time will she spend doing yoga? (rounded to minutes) Choose the correct choice from the following choices
A) 10 min.	B) 41 min.	C) 27 min.	D) 23 min.	E) 25 min.

Solution: The ratio is 2:3 = gym:ride, so (16)(3/2) = 24 minutes at the gym, and   24 + 16= 
  24 + 16 = 40
40 minutes exercise, so (2/3)(40)= 27 minutes yoga.   Answer: 27 min.
Answer: C
The probability of two events A and B are0.25 and 0.40 respectively. The probability that both A and B occur is 0.20. The probability that neither A nor B occur is _________  Choose the most appropriate option:
A) 0.45  B) 0.4  C) 0.55  D) 0.05  E) 0.6

Solution: we are apply that formula..............   P(AorB)=P(A)+P(B)-P(A AND B)   =.25+.40-.20= 
.25+.40-.20 = 0.45
.45   but the probability of neither A nor B=1-.45= 
1-.45 = 0.55
0.55   ANSWER:0.55
Answer: C
A jar contains only three types of objects: red, blue, and silver paper clips. The probability of selecting a red paper clip is 3/7, and the probability of selecting a blue paper clip is 1/7. What is the probability of selecting a silver paper clip?
Choose the most appropriate option
A) 1/12	B) 1/2	C) 3/7	D) 3/4	E) 11/12

Solution: Prob of Red = 3/7   Prob of Blue = 1/7   Prob of Silver = ?   P(Silver) = 1 - P(Red) - P(Blue) ==> 1-1/7-3/7 = 3/7   Ans: 3/7
Answer: C
The average of 20 numbers is zero. Of them, How many of them may be greater than zero, at the most?	Select the correct option:
A) 3
B) 1
C) 0
D) 19
E) 20

Solution: Average of 20 numbers = 0   Sum of 20 numbers / 20=0   => Sum of 20 numbers = 0   Hence at the most, there can be 19 positive numbers.   (Such that if the sum of these 19 positive numbers is x, 20th number will be -X)   ANSWER:0
Answer: C
Three sets of 90, 50 and 70 students appeared for an examination and the pass percentage was 50, 90 and 70 respectively. the pass percentage of the whole set is  Select.
A) 69.19% B) 66.19% C) 66.29% D) 65.19% E) 68.19%

Solution: Explanation:   total passed student =45+45+49= 
45+45+49 = 139
139   139 is 66.19% of210   ANSWER:66.19%
Answer: B
Ram sold two bicycles, each for Rs.990. If he made 10% profit on the first and 10% loss on the second, what is the total cost of both bicycles?
Answers.
A) 2000	B) 3377	C) 2997	D) 26790	E) 28781

Solution: (10*10)/100= 
(10*10)/100 = 1
1%loss   100 --- 99   ? --- 1980=> Rs.2000   2000nswer: 2000
Answer: A
Mr Yadav spends 60% of his monthly salary on consumable items and 50% of the remaining on clothes and transport. He saves the remaining amount. If his savings at the end of the year were 24624, how much amount per month would he have spent on clothes and transport? Choose the correct choice from the following:
A) 4038
B) 8076
C) 2052
D) 4845.6
E) None of these

Solution: ∵ Amount, he have spent in 1 month on clothes transport = Amount spent on saving per month   ∵ Amount, spent on clothes and transport   = 24624⁄12 = 2052   Answer 2052
Answer: C
If 3 girls can do 3 times of a particular work in 3 days, then, 7 girls can do 7 times of that work in	Choices
A) 3 days B) 4 days C) 5 days D) 7 days E) 8 days

Solution: That is, 1 girl can do one time of the work in 3 days.   Therefore, 7 girls can do 7 times work in the same 3 days itself.   3 days)
Answer: A
Three number are in the ratio of 3 : 4 : 5 and their L.C.M. is 2400. Their H.C.F. is:	Choose the correct choice from the following options.
A) 40
B) 80
C) 120
D) 200
E) None

Solution: EXPLANATION   Let the numbers be 3x, 4x and 5x.   Then, their L.C.M. = 60x.   So, 60x = 2400 or x = 40.   The numbers are (3 x 40), (4 x 40) and (5 x 40).   Hence, required H.C.F. = 40.   40nswer 40
Answer: A