MU-NLPC/Calc-aqua_rat huggingface dataset:
A company has two types of machines, type R and type S. Operating at a constant rate, a machine of type R does a certain job in 36 hrs and a machine of type S does the same job in 18 hours. If the company used the same number of each type of machine to do the job in 12 hours, how many machines of type R were used?	Choose the correct choice from the following answers:
A) 1
B) 4
C) 6
D) 9
E) 12

Solution: Rate of machine R =1/36   Rate of machine S =1/18   since same no of machines used for R and S to do the same work in 12 hrs   So collective rate needed to finish the work in 12 hrs= 1/12   Let the no of machine be x   So, x/36 +x/18 =1/12   x3/36=1/12   x=1   So no of machine R is 1   1nswer 1
Answer: A
A dress on sale in a shop is marked at $X. During the discount sale its price is reduced by 15%. Staff are allowed a further 10% reduction on thediscounted price. If a staff member buysthe dress what will she have to pay in terms of X?
Pick
A) 0.555X
B) 0.667X
C) 0.765X
D) 0.905X
E) 1.234X

Solution: If the price is reduced by 15 %, then the new price will be 0.85D   If this new price is further reduced by 10%, the discounted price will be 0.9 x 0.85X = 0.765X   0.765X
Answer: C
A shopkeeper sells 20% of his stock at 10% profit ans sells the remaining at a loss of 5%. He incurred an overall loss of Rs. 300. Find the total worth of the stock?	Select:
A) 20029
B) 20000
C) 20289
D) 20027
E) 15000

Solution: Let the total worth of the stock be Rs. x.   The SP of 20% of the stock = 1/5 * x * 1.1 = 11x/50   The SP of 80% of the stock = 4/5 * x * 0.95 = 19x/25 = 38x/50   Total SP = 11x/50 + 38x/50 = 49x/50   Overall loss = x - 49x/50 = x/50   x/50 = 300 => x = 15000   Answer: 15000
Answer: E
A can give B 100 meters start and C 200 meters start in a kilometer race. How much start can B give C in a kilometer race?	Choices:
A) 110.12 meters B) 111.12 meters C) 112.12 meters D) 113.12 meters E) 115.12 meters

Solution: Explanation:   A runs 1000 meters while B runs 900 meters and C runs 800 meters.   Therefore, B runs 900 meters while C runs 800 meters.   So, the number of meters that C runs when 111.12 meters runs 1000 meters = (1000 x 800)/900 = 8000/9 = 888.88 meters   Thus, 111.12 meters can give C  (1000 - 888.88)= 
 (1000 - 888.88) = 111.12
111.12 meters start   ANSWER IS 111.12 meters
Answer: B
A 260 m long train running at the speed of 120 km/hr crosses another train running in opposite direction at the speed of 80 km/hr in 9 sec. What is the length of the other train ?
Choose the correct choice from the following options:	A) 240 mts	B) 270 mts	C) 260 mts	D) 250 mts	E) 230 mts

Solution: Explanation:   Relative speed = 120 + 80= 
120 + 80 = 200
200 km/hr.= 200 x 5/18 = 500/9 m/sec.   Let the length of the other train be L mts.   Then, (L + 260)/9 = 500/9 => L = 240 mts.   240 mtsNSWER IS 240 mts
Answer: A
A futsal team that must consists of 5 players is to be formed from a pool of 7 players. How many different teams are possible?	Select:
A) 18
B) 8
C) 12
D) 20
E) 21

Solution: Note that the team must consist of 5 members, not at least 5 members. Hence, all you have to do is 7C5 = 21   Answer (21)
Answer: E
A baker charges M dollars for a birthday cake. Next week, she intends to earn 320 dollars selling cakes. If she were to reduce the price of the cake by 20 percent, she would have to sell two more cakes to earn the same amount of revenue. How many cakes does she intend to sell next week?
Options:
A) 2 B) 4 C) 6 D) 8 E) 10

Solution: We're told that by selling cakes at M dollars/cake, a baker will make $320.   Reducing the price by 20% and selling 2 MORE cakes will also make her $320.   We're asked for the original number of cakes that the baker intends to sell.   $320 is a rather interesting number. Based on the answer choices, we're almost certainly dealing with integer values for the number of cakes AND the price per cake. As such, 6 is probably NOT going to be part of the solution (either as 4 and 6 cakes or as 6 and 8 cakes). As such, we can avoid Answers B and C....   Let's TEST ANSWER D: 8 cakes   IF....   Original cakes = 8   8(M) = $320, so M = $40/cake   20% off = $8 off = 40-8= 
40-8 = 32
$32/cake   +2 more cakes= 8+2= 
8+2 = 10
10 cakes   10(32)= $320   This is an exact MATCH for what we were told, so this MUST be the answer.   Final Answer:   8
Answer: D
In business, A and C invested amounts in the ratio 2:1, whereas the ratio between amounts invested by A and B was 2:5, If Rs 15,000 was their profit, how much amount did B receive.
Select.
A) 1950  B) 6895  C) 4879  D) 8126  E) 6250

Solution: 6250xplanation:   A:B = 2:5 = 2:5   => A:C = 2:1 = 2:1   => A:B:C = 6:5:1   B share = (5/12)*15000= 
(5/12)*15000 = 6_250
6250   Option 6250
Answer: E
You need to pick any number from '1, 3, 5, 7, 9, 11, 13 and 15' to make below equation true.
( ) + ( ) + ( ) = 30
Can you solve it ?	Choose the correct choice from the following answers
A) 29	B) 30	C) 31	D) 32	E) 33

Solution: Solution:   3! + 15 + 9 = 30   Explanation:   3! = 3 * 2 * 1= 
3 * 2 * 1 = 6
6   6 + 15 + 9= 
6 + 15 + 9 = 30
30   Answer 30
Answer: B
If there are thrice as many women as men in a group and an equal number of men and women do not own cars - a group that is 30% of the total. What fraction of the total is men who own cars? Pick one.
A) 3⁄20 B) 11⁄60 C) 9⁄40 D) 1⁄10 E) 11⁄20

Solution: Consider a group of 100 men and 300 women, a total of 400 people. 30% of them, which is 120, form a group of people who don't own a car.   Half of them are men, and the other half are women, more precisely 60.   It means that there are 100 - 60= 
100 - 60 = 40
40 men who own a car, and this represents 40/400= 1/10 of the total.   Answer 1⁄10
Answer: D
A can do a piece of work in 30 days. He works at it for 5 days and then B finishes it in 20 days. In what time can A and B together it?	Select:
A) 16 2/3 days
B) 13 1/3 days
C) 17 1/3 days
D) 16 1/2 days
E) 17 days

Solution: 5/30 + 20/x = 1   x = 24   1/30 + 1/24 = 3/40   40/3 = 13 1/3 days   ANSWER:13 1/3 days
Answer: B
The consumption of diesel per hour of a bus varies directly as square of its speed. When the bus is travelling at 70 kmph its consumption is 1 litre per hour. if each litre costs $70 and other expenses per hous is $ 70, then what would be the minimum expenditure required to cover a distance of 700 Km?	Choices:	A) 1000	B) 1500	C) 1240	D) 1630	E) 1400

Solution: 70 kmph consumption is 1 lt/hr   so 700 km will take 10 hrs and the consumption is 10 lt for entire distance.   1 lt costs $70   so 10 lt costs $700   extra expenses for 1 hr - $70   10 hrs - $700   total expense - $700 + $700 = $1400   Answer : 1400
Answer: E
If |x| = 5x - 3, then x = ?	Choose the correct option.
A) 1 B) 1/2 C) 2 D) -1/2 E) -1

Solution: Answer: A   Approach:   Substituted option A i.e x=1. Inequality satisfied.   2
Answer: C
A sum of money place at compound interest doubles itself in 7 years. In how many years will it amount to eight times itself?  Choose the correct choice from the following options.
A) 15 years
B) 11 years
C) 12 years
D) 18 years
E) 21 years

Solution: 100 ---- 200 ---- 7   400 ---- 7   800 ---- 7   ------   21 years   Answer: 21 years
Answer: E
A FIVE DIGIT NUMBER IS FORMED BY USING THE DIGITS 1,2,3,4,5 WITH OUT REPETITIONS . WHAT IS THE PROBABILITY THE NUMBER IS DIVISIBLE BY5? Select the correct option:
A) 12/15  B) 5/6  C) 4/5  D) 7/3  E) 2/7

Solution: If a number is divisible by 5 the last 1 digits of the number has 5.   If the number ends with 15: Number of possibilities = 4*3 * 2 * 1= 
4*3 * 2 * 1 = 24
24   number ends with 25: Possibilities= 4*3 * 2 * 1= 
4*3 * 2 * 1 = 24
24   number ends with 35: Possibilities=24   number ends with 45: Possibilities =24   Total number of possibilities with restriction = 24*4= 
24*4 = 96
96   Total number of possibilities without restriction= 5! = 120   Probability = 96/120 = 12/15   12/15nswer: 12/15
Answer: A
40 is subtracted from 60% of a number, the result is 50. Find the number?
Choose the correct choice
A) 150 B) 997 C) 266 D) 288 E) 271

Solution: (60/100) * X – 40 = 50   6X = 900   X = 150   150nswer:150
Answer: A
Kid have 8 black balls and 8white balls. He is trying to arrange a ball in a row then in how many ways can he arrange these balls in a row so that balls of different colors alternate? Choices.
A) (8!)^2 B) 2×(8!) C) 2×(8!)^2 D) 2^2 E) 3×(6!)^2

Solution: 8 black balls can be arranged in 8! ways ...(A)   Now we need to arrange white balls such that white balls and black balls are positioned alternatively. i.e., we can arrange 8 white balls either in the 8 positions marked as A,B,C,D,E,F,G,H or in the 8 positions marked as B,C,D,E,F,G,H,I as shown below.   8 white balls can be arranged in the 8 positions marked as A,B,C,D,E,F,G,H in 8! ways.   8 white balls can be arranged in the 8 positions marked as B,C,D,E,F,G,H,I in 8! ways.   8 white balls can be arranged in the 8 positions marked as A,B,2×(8!)^2,D,E,F,G,H or in the 8 positions marked as B,2×(8!)^2,D,E,F,G,H,I in 8!+8!=2×8! ways ...(B)   From (A) and (B),   required number of ways =8!×2×8!=2×(8!)^2   2×(8!)^2
Answer: C
The ratio of boys to girls in Class A is 3 to 4. The ratio of boys to girls in Class B is 4 to 6. If the two classes were combined, the ratio of boys to girls in the combined class would be 17 to 22. If Class A has one more boy and two more girls than class B, how many girls are in Class A? Pick:
A) 8
B) 9
C) 10
D) 11
E) 12

Solution: Since it is given that the ratio of boys to girls in Class A is 3 to 4 - so we can quickly eliminate the answer choices which are not multiples of 4.   so ans can either be 8 0r 12.   With 8 as answer - no of girls = 8   With 12 as answer - no of girls = 12   Now Class A has one more boy and two more girls than class B and also the ratio of boys to girls in Class B is 4 to 5.   So we are looking for number of girls in B to be divisible by 5.   With 8 as answer -> Girls = 8-2= 
8-2 = 6
6. (Not possible)   With 12 as answer -> Girls= 12-2 = 5.   So, answer = 11. ( 11)
Answer: D
What sum of money put at C.I amounts in 2 years to Rs.8820 and in 3 years to Rs.9261?	Choices:	A) 8000	B) 8877	C) 2877	D) 2678	E) 1011

Solution: 8820 ---- 441   100 ---- ? => 5%   x *105/100 * 105/100 = 8820   x*1.1025=8820   x=8820/1.1025= 
8820/1.1025 = 8_000
> 8000   8000nswer: 8000
Answer: A
According to a recent student poll, 4/5 out of 25 members of the finance club are interested in a career in investment banking. If two students are chosen at random, what is the probability that at least one of them is interested in investment banking?	Choose the correct choice from the following
A) 29/30	B) 4/49	C) 2/7	D) 45/49	E) 13/14

Solution: 20 students are interested, 5 are not interested   Prob = 1 - 5C2/25C2 = 1 - (5*4/(25*24))=1 - 1/30 = 29/30   29/30nswer : 29/30
Answer: A
A gardener wants to plant trees in his garden in rows in such away that the number of trees in each row to be the same. If there are 24 rows the number of trees in each row is 42 if there are 12 more rows find the number of trees in each row?
A. 63 B. 28?  Select the correct option:  A) 11  B) 28  C) 16  D) 19  E) 10

Solution: Required number of trees   = 24/36 * 42= 
24/36 * 42 = 28
28.   Answer: 28
Answer: B
Which of the following could be the value of x, if |6x – 14| = 2x+2? Choose the correct choice from the following answers:
A) –3/2 B) –4 C) 1 D) 2/3 E) 4

Solution: |6x – 14| = 2x + 2   =>6x - 14=2x + 2   or 6x - 14 = -2x - 2   => 4x = 16 or 8x = 12   => x = 4 or x = 12/8=3/2   Answer 4
Answer: E
3034 - (1002 / 20.04) = ?  Select:	A) 2984	B) 2983	C) 2982	D) 2981	E) None of these

Solution: Option 2984
Answer: A
Tom and Jerry are running on the same road towards each other. If Tom is running at a speed of 2.5 meters per second and Jerry is running 36% slower, how much time Q will it take them to meet if the initial distance between the two is 50 meters and Tom started running 20 seconds before Jerry did?	Choose the correct answer:	A) 2 minute and 12 seconds.	B) two minutes.	C) 44 seconds.	D) 20 seconds.	E) 12 seconds.

Solution: Tom is running alone for 20 seconds.   So he will cover a distance of  20*2.5= 
 20*2.5 = 50
50 m in 20 seconds=Q   Basically, Jerry has not started yet , and Tom has covered the distance alone and met Jerry on the other side   20 seconds. is the answer
Answer: D
The average of eight numbers is 27. If one number is excluded, the average becomes 25. The excluded number is	Choose the correct option.
A) 25  B) 27  C) 30  D) 35  E) 41

Solution: Sol.   Therefore excluded number   = (27 × 8) - ( 25 × 7)   = 216 – 175   = 41.   Answer 41
Answer: E
Pipe A can fill a tank in 5 hours, pipe B in 10 hours and pipe C in 30 hours. If all the pipes are open, in how many hours will the tank be filled?	Options
A) 5 hours
B) 6 hours
C) 3 hours
D) 9 hours
E) 2 hours

Solution: Part filled by A + B + 3 hours in 1 hour = 1/5 + 1/10 + 1/30 = 1/3   All the three pipes together will fill the tank in 3 hours.Answer: 3 hours
Answer: C
A lends Rs. 2500 to B and a certain to C at the same time at 7% p.a. simple interest. If after 4 years, A altogether receives Rs. 1120 as interest from B and C, then the sum lent to C is? Choose the most appropriate option.
A) 2998	B) 1500	C) 2878	D) 299	E) 277

Solution: Let the sum lent to C be Rs. x. Then,   (2500 * 7 * 4) / 100 + (x * 7 * 4) / 100 = 1120   7/25 x = (1120 - 700) => x = 1500   Answer: 1500
Answer: B
For every positive integer n, the nth term of a sequence is the total sum of three consecutive integers starting at n. What is the total sum of terms 1 through 100 of this series?
Choose the correct option:
A) 11,990
B) 12,720
C) 13,260
D) 14,580
E) 15,450

Solution: 15,450ach term of the series has the form (n+n+1+n+2) = 3n+3   Since the series goes from 1 to 100, the sum of the series is:   3(1+2+...+100) + 100(3) ( + +1+ +2)= 
( + +1+ +2) = 3
3n+3   Since the series goes from 1 to 100, the sum of the series is:   3(1+2+...+100) + 100(3)=   3(100)(101)/2 + 100(3) =   150*101 + 300 = 15,450   The answer is 15,450.
Answer: E
The time taken by a man to row his boat upstream is twice the time taken by him to row the same distance downstream. If the speed of the boat in still water is 54 kmph, find the speed of the stream? Options:
A) 77
B) 18
C) 14
D) 12
E) 17

Solution: The ratio of the times taken is 2:1.   The ratio of the speed of the boat in still water to the speed of the stream = (2+1)/(2-1)= 
(2+1)/(2-1) = 3
3/1= 
3/1 = 3
3:1   Speed of the stream= 54/3= 
54/3 = 18
18 kmph.   Answer:18
Answer: B
Two men starting from the same place walk at the rate of 5 kmph and 5.5 kmph respectively. What time will they take to be 9.5 km apart, if they walk in the same direction?  Pick one.
A) 19 hrs  B) 14 hrs  C) 15 hrs  D) 17 hrs  E) None

Solution: Sol.   to be 0.5 km apart, they take 1 hour.   To be 9.5 km apart, they take [1/0.5 * 9.5= 
1/0.5 * 9.5 = 19
19 hrs.   19 hrsnswer 19 hrs
Answer: A
Raju age after 23 years will be 5 times his age 5 years back, What is the present age of Raju	Choose the most appropriate option:
A) 10 years  B) 11 years  C) 13 years  D) 12 years  E) 14 years

Solution: Explanation:   Clearly,   x+23 = 5(x-5)   <=> 4x = 48 => x = 12   Option 12 years
Answer: D
Shop Offered 40% offer for every Shirt, Smith bought a shirt at Rs. 560. and What was the shop's original selling Price?	Choose the correct option.
A) 500
B) 550
C) 600
D) 933
E) 750

Solution: SP* (60/100) = 560   SP= 9.33 * 100 => CP = 933   Answer:933
Answer: D
A train leaves Mumabai at 9 am at a speed of 40 kmph. After one hour, another train leaves Mumbai in the same direction as that of the first train at a speed of 50 kmph. When and at what distance from Mumbai do the two trains meet?	Choose the correct answer:
A) 1:00pm, 220 km  B) 1:00pm, 200km  C) 2:00pm, 200 km  D) 2:00pm, 220 km  E) None of these

Solution: Explanation:   When the second train leaves Mumbai the first train covers 40 * 1= 
40 * 1 = 40
40 km   So, the distance between first train and second train is 40 km at 10.00am   Time taken by the trains to meet= Distance / relative speed = 40 / (50 -40)= 
40 / (50 -40) = 4
4 hours   So, the two trains meet at 2 p.m. The two trains meet 4 * 50= 
4 * 50 = 200
200 km away from Mumbai.   ANSWER IS 2:00pm, 200 km
Answer: C
If 6 men and 8 boys can do a piece of work in 10 days while 26 men and 48 boys can do the same in 2 days, the time taken by 15 men and 20 boys in doing the same type of work will be:  Select:
A) 4 days	B) 5 days	C) 6 days	D) 7 days	E) none

Solution: Let 1 man's 1 day's work = x and 1 boy's 1 day's work = y.   Then, 6x + 8y = 1/10 and 26x + 48y = 1/2   Solving these two equations, we get : x = 1/100 and y = 1/200   (15 men + 20 boy)'s 1 day's work = (15/100 + 20/200) = 1/4   15 men and 20 boys can do the work in 4 days.   4 daysnswer = 4 days
Answer: A
A shopkeeper buys two articles for Rs.1000 each and then sells them, making 20% profit on the first article and 20% loss on second article. Find the net profit or loss percent? Answers.
A) neither profit nor loss	B) 1%	C) 7%	D) 6%	E) 9%

Solution: Explanation:   Profit on first article = 20% of 1000 = 200.   This is equal to the loss he makes on the second article. That, is he makes neither profit nor loss.   neither profit nor lossnswer: neither profit nor loss
Answer: A
A Deer passed a certain tree at a constant speed of 50 miles per hour while being chased by a Cheetah. Then, 2 minutes later, the Cheetah passed the same tree at a constant speed of 60 miles per hour. If both animals maintained their speeds, how long after the Cheetah passed the tree did the Cheetah catch up with the deer? Choose the correct choice
A) 30 min	B) 3 min	C) 1 hr	D) 1 min	E) 2 min

Solution: When the Cheetah is at the tree, the deer is 50/30 miles ahead on the highway. (the distance covered in 2 min)   every hour, Cheetah runs 10miles more than the deer. how many hours will it takes it to cover 50/30 miles more? the answer is (50/30)/10 = 1/60=1 min   Answer 1 min
Answer: D
Peeta asks Katniss, 'It is 9 pm as per my watch right now.Do you know what will be the time 23, 999, 997 hours later?' Choose the correct choice:  A) 5 pm.  B) 4 pm.  C) 6 pm.  D) 7 pm.  E) 8 pm.

Solution: Solution:   6pm   Explanation:   The time after 24, 000, 000 hours will be the same as it is now. We want the time 3 hours before that and thus you can deduct three hours from 9 pm. So the time will be 6 pm.   Answer 6 pm.
Answer: C
The quarter of the time from midnight to present time added to the half of the time from the present to midnight gives the present time. What is the present time?	Select the correct option:
A) 9 hr 30 min
B) 9 hr 36 min
C) 9 hr 46 min
D) 8 hr 36 min
E) 9 hr 56 min

Solution: let the present time be t   given that t/4+(24-t)/2=t   so time is 9 hr 36 min   ANSWER:9 hr 36 min
Answer: B
Of 70 players on a football team, 37 are throwers. The rest of the team is divided so one third are left- handed and the rest are right handed. Assuming that all throwers are right handed, how many right- handed players are there total?  Choose the most appropriate option
A) 54	B) 59	C) 63	D) 71	E) 92

Solution: 37 are throwers and right handed   1/3 of remaining 33, i.e 11 are left handed and remaining are right handed.   Basically, out of 70, only 11 are left handed and remaining  70-11= 
 70-11 = 59
59 are right handed.   59 is the answer
Answer: B
. There are 8 men and 10 women and you need to form a committee of 5 men and 6 women. In how many ways can the committee be formed?  Options:  A) 10420  B) 11  C) 11760  D) 11640  E) None of these

Solution: We need to select 5 men from 8 men and 6 women from 10 women   Number of ways to do this   = 8117605 × 10117606   = 8117603 × 10117604 [∵ n11760r = n11760(n-r)]   =((8×7×6)/(3×2×1))*((10×9×8*7)/(4×3×2×1))   =56×210   =11760   ANSWER:11760
Answer: C
Out of 7 people working on a project, 3 are graduates. If 3 people are selected at random, what is the probability that there is at least one graduate among them? Choose the correct choice from the following choices:
A) 17/20
B) 21/25
C) 23/30
D) 31/35
E) 37/40

Solution: P(no graduates) = 4C3 / 7C3 = 4/35   P(at least one graduate) = 1- 4/35 = 31/35   The answer is 31/35.
Answer: D
Walking with 4/5 of my usual speed, I miss the bus by 5 minutes. What is my usual time? Choose the correct choice from the following options.
A) 22 B) 88 C) 27 D) 20 E) 98

Solution: Speed Ratio = 1:4/5 = 5:4Time Ratio = 4:51 -------- 5 4 --------- ? è 20.Answer: 20
Answer: D
The number of n satisfying -n+2≥0 and 2n≤5 is  Select
A) 0	B) 1	C) 2	D) 3	E) None of the above

Solution: −n+2≥0................−n≥−2..................n≤2−n+2≥0................−n≥−2..................n≤2.   Also 2n≤5.............n≤5/2.............n≤52.   ans is n≤2n≤2..... infinite possible solution.   ANSWNone of the aboveR:None of the above
Answer: E
A tradesman by means of his false balance defrauds to the extent of 10%? in buying goods as well as by selling the goods. What percent does he gain on his outlay?	Select the correct option: A) 21% B) 77% C) 44% D) 16% E) 47%

Solution: g% = 10 + 10 + (10*10)/100= 
10 + 10 + (10*10)/100 = 21
21%   21%nswer: 21%
Answer: A
The area of a triangle will be when a = 1m, b = 2m, c = 3m, a, b, c being lengths of respective sides. Select the correct option.
A) 0 sq m	B) 8 sq m	C) 2 sq m	D) 8sq m	E) 4sq m

Solution: Explanation:   S = (1 + 2 + 3)/2= 
(1 + 2 + 3)/2 = 3
3=> No triangle exists   0 sq mnswer: Option 0 sq m
Answer: A
A circular path of 13 m radius has marginal walk 2 m wide all round it. Find the cost of leveling the walk at 25p per m2?
Choose the most appropriate option:
A) Rs.49  B) Rs.40  C) Rs.44  D) Rs.42  E) Rs.43

Solution: Explanation:   π (152 - 132) = 176   176 * 1/4 = Rs.44   Answer: Option Rs.44
Answer: C
The length of a rectangle is twice its breadth. If its length is decreased by 5 cm and breadth is increased by 5 cm, the area of the rectangle is increased by 75 sq. cm. Find the length of the rectangle.
Choose the correct choice:
A) 5
B) 10
C) 15
D) 20
E) None of them

Solution: Let breadth = x. Then, length = 2x. Then,   (2x - 5) (x + 5) - 2x * x = 75 <=> 5x - 25 = 75 <=> x = 20.   Therefore, Length of the rectangle = 20 cm.   Answer is 20
Answer: D
A six-sided die is rolled once. What is the probability that the number rolled is an odd number greater than 2?  Choose the correct option
A) 2 / 6  B) 1 / 2  C) 3 / 3  D) 4 / 5  E) 2 / 4

Solution: 2 / 6   correct answer 2 / 6
Answer: A
What is the principal sum?
I. The sum amounts to Rs. 780 at a rate of 8% p.a. at S.I.
II. The sum amounts to Rs. 1000 in 5 years at S.I.
III. The rate of interest is 8% p.a.  Choose one:
A) I and III only B) II and III only C) I and II only D) Any two of the three E) None of these

Solution: Explanation:   Clearly, Only the statement II and III is needed and cant be able to find by using I statement   Answer: II and III only
Answer: B
X can do 1/4 of a work in 10 days, Y can do 40% of work in 40 days and Z can do 1/3 of work in 13 days. Who will complete the work first? Choices:  A) D  B) F  C) X  D) Z  E) W

Solution: Whole work will be done by X in 10*4= 
10*4 = 40
40 days.   Whole work will be done by Y in   (40*100/40)= 
  (40*100/40) = 100
100 days.   Whole work will be done by Z in   (13*3)= 
  (13*3) = 39
39 days   Therefore, Z will complete the work first. The answer is Z.
Answer: D