MU-NLPC/Calc-aqua_rat huggingface dataset:
In a group of 20 students, each student is registered for at least one of three classes – History, Math and English. 10 students are registered for History, 10 students are registered for Math, and 15 students are registered for English. If only three students are registered for all three classes, how many students are registered for exactly two classes?
Choose the correct choice from the following:
A) 13
B) 10
C) 9
D) 8
E) 7

Solution: Each student is registered forat least one of three classesmeans thatthere are no students who are registered for none of the classes.   Total = {people in group A} + {people in group B} + {people in group 9} - {people in exactly 2 groups} - 2*{people in exactly 3 groups} + {people in none of the groups}:   20 = 10+10+15 - {people in exactly 2 groups} - 2*3 + 0-->{people in exactly 2 groups}=9   Answer: 9
Answer: C
A 1200 m long train crosses a tree in 120 sec, how much time will I take to pass a platform 700 m long? Choose the correct choice from the following options:
A) 177 B) 190 C) 188 D) 1787 E) 21

Solution: L = S*T   S= 1200/120= 
1200/120 = 10
10 m/Sec.   Total length (D)= 1900 m   T = D/S   T = 1900/10= 
1900/10 = 190
190 Sec .Answer: 190
Answer: B
Imagine a picture in your mind. There is a rose plant. A few roses have grown up in the plant. There are a few bees hovering over them.
Now read the given statements carefully:
1) If every one of the bees lands on a rose, one of them won't get a rose.
2) If two bees share rise together, then there will be one rose left without any bee.
Can you find out the number of roses on the plant and the number of bees?	Choose the correct choice from the following answers:
A) There are Four roses and four bees.	B) There are three roses and four bees.	C) There are three roses and three bees.	D) There are five roses and one bees.	E) There are six roses and four bees.

Solution: There are three roses and four bees.   There are three roses and four bees.
Answer: B
The number 523fbc is divisible by 7,8,9. Then what is the value of f*b*c  Pick one:  A) 504  B) 532  C) 210  D) 180  E) 280

Solution: LCM of 7, 8 and 9 is 504, thus 523fbc must be divisible by 504.   523fbc=523000+fbc   523000 divided by 504 gives a remainder of 352.   Hence, 352+fbc=k*504.   k=1 fbc=152 --> f*b*c=10   k=2 fbc=656 --> f*b*c=180   As fbc is three digit number k can not be more than 2.   Two answers? Well only one is listed in answer choices, so D.   Answer: 180.
Answer: D
When all the students in a school are made to stand in rows of 54, 30 such rows are formed. If the students are made to stand in rows of 45, how many such rows will be formed ?	Choose the correct choice from the following choices.
A) 31 B) 36 C) 38 D) 19 E) 21

Solution: Explanation:   Total number of students = 54 x 30   When arranged in rows of 45, number of rows formed are,   = 36.   Answer: 36
Answer: B
What least number must besubtracted from 427398 so that remaining no.is divisible by 15?  Select the correct option:  A) 725117481  B) 343564689  C) 454564690  D) 759900434  E) 656590009

Solution: On dividing 427398 by 15 we get the remainder 3, so 3 should be subtracted   725117481nswer: Option 725117481
Answer: A
A 1 k.m. long wire is held by n poles. If one pole is removed, the length of the gap becomes 12/3m. What is the number of poles initially?	Choose the correct answer:
A) 500
B) 501
C) 502
D) 503
E) 504

Solution: Length after removing pole is 12/3= 
12/3 = 4
4   Then before removing pole is 2 ('coz | 2 | 2 | is | 4 |)   i.e. Gap between two poles is 2m   1km= 1000m   Then split 1000m by 2m => we have 500 sections or gaps   Then no.of poles is 500 + 1= 
500 + 1 = 501
501 poles   Therefore n= 501.   ANSWER:501
Answer: B
If an article is sold at 18% profit instead of 9% profit, then the profit would be $72 more. What is the cost price?	Choose the correct choice from the following choices:  A) $500  B) $600  C) $700  D) $800  E) $900

Solution: 9% * cost price = $72   1% * cost price = $72 / 9= 
72 / 9 = 8
$8   The cost price is $800.   The answer is $800.
Answer: D
Some of 50%-intensity red paint is replaced with 20% solution of red paint such that the new paint intensity is 40%. What fraction of the original paint was replaced?	Select:
A) 1/3
B) 1/5
C) 2/3
D) 3/4
E) 4/5

Solution: 40% is 20%-points above 20% and 10%-points below 50%.   Thus the ratio of 20%-solution to 50%-solution is 1:2.   1/3 of the original paint was replaced.   The answer is 1/3.
Answer: A
45 workers work 8 hours to dig a hole 30 meters deep. How many extra workers should be hired to dig another hole 35 meters deep by working for 6 hours?  Choose one:	A) 10	B) 20	C) 30	D) 40	E) 50

Solution: 45 workers * 8 hours / 30 meters = x * 6 / 35   x = 70 total workers   70 - 45 = 30 new workers   The answer is 30.
Answer: C
A train running at the speed of 60 km/hr crosses a pole in 18 seconds. What is the length of the train?	Select
A) 187 m	B) 278 m	C) 300 m	D) 150 m	E) 267 m

Solution: Speed=(60 * 5/18) m/sec = (50/3) m/sec Length of the train   = (Speed x Time)   = (50/3 * 18)= 
(50/3 * 18) = 300
300 m.   Answer: 300 m
Answer: C
Suresh can complete a job in 15 hours. Ashutosh alone can complete the same job in 15 hours. Suresh works for 9 hours and then the remaining job is completed by Ashutosh. How many hours will it take Ashutosh to complete the remaining job alone? Answers: A) 4 B) 5 C) 6 D) 12 E) None of these

Solution: The part of job that Suresh completes in 9 hours   = 9â„15 = 3â„5   Remaining job = 1 - 3â„5 = 2â„5   Remaining job can be done by Ashutosh in 2â„5 Ã— 15 = 6 hours   Answer 6
Answer: C
There is a 20% chance Sandy will visit China this year, while there is a 70% chance that she will visit Malaysia this year. What is the probability that Sandy will visit either China or Malaysia this year, but NOT both?	Answers.
A) 44%
B) 48%
C) 54%
D) 62%
E) 70%

Solution: P(China and not Malaysia) = 0.2*0.3= 
0.2*0.3 = 0.06
0.06   P(Malaysia and not China)= 0.7*0.8= 
0.7*0.8 = 0.56
0.56   Total probability= 0.06 + 0.56= 
0.06 + 0.56 = 0.62
0.62= 62%   The answer is 62%.
Answer: D
10, 14, 16, 18, 21, 24, 26 Choose the most appropriate option:
A) 17 B) 20 C) 21 D) 25 E) 26

Solution: Each of the numbers except 21 is an even number   ANSWER :21
Answer: C
Sachin is younger than Rahul by 7 years. If the ratio of their ages is 7:9, find the age of Sachin
Select the correct option:
A) 24.5 B) 25.5 C) 26.5 D) 27.5 E) 37.5

Solution: Explanation:   If Rahul age is x, then Sachin age is x - 7,   so, (X-7)/X= 79   9x - 63 = 7x   2x = 63   x = 31.5   So Sachin age is 31.5 - 7 = 24.5. 24.5nswer: 24.5
Answer: A
Two trains 140 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 (in seconds) which they take to cross each other, is:
Pick:	A) 10.2	B) 10.9	C) 10.1	D) 10.8	E) 10.5

Solution: Explanation:   Relative speed = (60 + 40) km/hr =[ 100 x ( 5 / 18 ) ]m/sec = ( 250 /9 ) m/sec.   Distance covered in crossing each other = (140 + 160)= 
(140 + 160) = 300
300 m.   Required time= [ 300 x ( 9/250 ) ] sec = ( 54/ 5 )= 
( 54/ 5 ) = 54/5 = around 10.8
10.8 sec.   Answer: 10.8) 10.8
Answer: D
Insert the missing number. 2, 7, 10, 22, 18, 37, 26 Pick one.
A) 52
B) 42
C) 62
D) 46
E) 25

Solution: There are two series here   2, 10, 18, 26, ... (Increase by 8)   7, 22, 37, ... (Increase by 15)   Hence, next term is   37+15= 
  37+15 = 52
52   52NSWER 52
Answer: A
Rs. 800 becomes Rs. 956 in 3 years at a rate of S.I. If the rate of interest is increased by 4%, what amount will Rs. 800 become in 3 years?	Choose the most appropriate option: A) Rs. 1152 B) Rs. 1052 C) Rs. 1252 D) Rs. 1452 E) Rs. 2052

Solution: S.I. = (956 - 800) = Rs. 156.   Rate = (100 * 156) / (800 * 3) = 6 1/2 %   Now rate = (6 1/2 + 4) = 10 1/2 %   New S.I. = (800 * 21/2 * 3/100) = Rs. 252   New amount = (800 + 252) = Rs. 1052.   ANSWER:Rs. 1052
Answer: B
In a certain business school class, p students are accounting majors, q students are finance majors, r students are marketing majors, and s students are strategy majors. If pqrs = 2145, and if 1< p < q < r < s, how many students in the class are marketing majors?  Choices:
A) 3
B) 5
C) 8
D) 11
E) 17

Solution: pqrs = 2145 = 3 * 5 * 11 * 13   Since 1< p < q < r < s, the number of students who are marketing majors is r = 11.   The answer is 11.
Answer: D
one person Tharak speed with the current is 12 km/hr and the speed of the current is 5 km/hr. Tharak's speed against the current is:  Answers: A) 0 km/hr B) 1 km/hr C) 2 km/hr D) 3 km/hr E) 4 km/hr

Solution: Man's speed with the current = 12 km/hr   => speed of the man + speed of the current = 12 km/hr   speed of the current is 5 km/hr   Hence, speed of the man = 12-5= 
12-5 = 7
7 km/hr   man's speed against the current= speed of the man - speed of the current   = 7-5= 
7-5 = 2
2 km/hr   ANSWER:2 km/hr
Answer: C
The function f is defined for all positive integers n by the following rule. f(n) is the number of positive integers each of which is less than n and has no positive factor in common with n other than 1. If p is any prime, number then f(p)=  Choose the correct choice from the following options:
A) p-1 B) p-2 C) (p+1)/2 D) (p-1)/2 E) 2

Solution: p is a prime, all positive numbers less than p have no common factors with p (except common factor 1). So there would be p-1 such numbers (as we are looking number of integers less than p).   For example: if p=7 how many numbers are less than 7 having no common factors with 7: 1, 2, 3, 4, 5, 6 --> 7-1=6.   p-1nswer: p-1.
Answer: A
A walks at 10 kmph and 5 hours after his start, B cycles after him at 20 kmph. How far from the start does B catch up with A?  Pick one:	A) 100km	B) 150km	C) 50km	D) 120km	E) 200km

Solution: Suppose after x km from the start B catches up with A. Then, the difference in the time taken by A to cover x km and that taken by B to cover x km is 5 hours.   x/10 - x/20 = 5   x = 100 km   100kmnswer is 100km
Answer: A
A grocer has a sale of Rs. 5420, Rs. 5660, Rs. 6200, Rs. 6350 and Rs. 6500 for 5 consecutive months. Find the sale he should have in the sixth month, so that he gets an average sale of Rs. 6400? Choose the correct answer:
A) Rs. 5870
B) Rs. 8270
C) Rs. 6020
D) Rs. 6850
E) None of these

Solution: Explanation:   Total sale for 5 months = Rs. (5420 + 5660 + 6200 + 6350 + 6500) = Rs. 30,130   Therefore, required sale = Rs. [(6400 * 6) – 30,130] = Rs. (38400 – 30,130) = Rs. 8270   ANSWER Rs. 8270
Answer: B
In a game, a player can win by getting six consecutive tails in seven throws of a coin. What is the probability of winning if the player gets a tail on the first throw?	Choose the most appropriate option: A) 1/8 B) 1/16 C) 1/32 D) 1/64 E) 1/128

Solution: The only way to win is to get a tail on each of the next five throws.   P(five tails)=(1/2)^5=1/32   The answer is 1/32.
Answer: C
Given two sets X = {1,1,8,8,9,9} and Y = {0,1}, if one number is chosen from each set at random, what is the probability that the sum of both numbers is an even number  Choose one.
A) 1/5	B) 1/3	C) 1/6	D) 1/4	E) 1/2

Solution: One way to look at it:   The number from set X can be ANYTHING.   The number selected from set Y will determine whether the sum is odd or even.   For example, if a 8 is selected from set X, we need a 0 from set Y to get an even sum.   If a 9 is selected from set X, we need a 1 from set Y to get an even sum.   And so on.   So, P(sum is even) = P(select ANY number from set X ANDselect the number from set Y that makes the sum even)   = P(select ANY number from set X)xP(select the number from set Y that makes the sum even)   = 1x1/2   = 1/2   = 1/2
Answer: E
fetched a total simple interest of Rs. 4216.25 at the rate of 9 p.c.p.a. in 5 years. What is the sum?  Choose the correct choice from the following choices
A) Rs.8928
B) Rs.89228
C) Rs.8911
D) Rs.8925
E) Rs.8922

Solution: Explanation:   Principal = Rs.   = Rs.   = Rs.8925   Answer: Rs.8925
Answer: D
Jack and Jill are marathon runners. Jack can finish a marathon (42 km) in 2.5 hours and Jill can run a marathon in 4.2 hours.What is the ratio of their average running speed? (Jack: Jill) Answers:
A) 41/25	B) 15/14	C) 4/5	D) 5/4	E) Cannot be determined

Solution: 41/25verage Speed of Jack =Distance/ Time   = 42 /(5/2) = 84/5   41/25verage Speed of Jill = 42/(4.2)= 
42/(4.2) = 10
10   Ratio of 41/25verage speed of Jack to Jill= (84/5)/10 = 84/50 = 41/25   41/25nswer 41/25
Answer: A
If a man travels m miles an hour for t hours and r miles an hour for s hours, what is his average rate in miles per hour for the entire distance traveled?  Choose one:
A) mt + rs
B) (mt + rs)/2
C) (mt + rs)/(t + s)
D) t/m + s/r
E) (mt + rs)/(t - s)

Solution: Average Speed = Total Distance /Total Time Taken   Total Distance travelled in t hours = mt   Total Distance travelled in s hours = rs   Total Time taken = t+s   Therefore , Average Speed = (mt+ts)/(t+s)   Answer (mt + rs)/(t + s)
Answer: C
At Veridux Corporation, there are 250 employees. Of these, 90 are female, and the rest are males. There are a total of 40 managers, and the rest of the employees are associates. If there are a total of 140 male associates, how many female managers are there? Choose one:
A) 15
B) 20
C) 25
D) 30
E) 35

Solution: 250 Employees:   90 Male, 160 Female   40 Managers, 210 Associates   140 Male Associates implies 70 Female Associates which means the remaining 20 females must be Managers   B. 20
Answer: B
Raman mixed 34 kg of butter at Rs. 150 per kg with 36 kg butter at the rate of Rs. 125 per kg. At what price per kg should he sell the mixture to make a profit of 40% in the transaction?
Choose the correct choice from the following:
A) 129	B) 287	C) 192	D) 188	E) 112

Solution: Explanation:   CP per kg of mixture = [34(150) + 36(125)]/(34 + 36) = Rs. 137.14   SP = CP[(100 + profit%)/100]   = 137.14* [(100 + 40)/100] = Rs. 192.   Answer:192
Answer: C
The number 250 can be written as sum of the squares of 3 different positive integers. What is the sum of these 3 different integers?	Choose the correct choice from the following
A) 18
B) 22
C) 21
D) 20
E) 19

Solution: sum of the squares of 3 different positive integers = 250   15^2 + 3^2 + 4^2 = 250   now,   sum of these 3 different integers = 15 + 3 + 4= 
15 + 3 + 4 = 22
22   Ans - 22
Answer: B
The cost price of a radio is Rs.1340 and it was sold for Rs.1210, find the loss %?	Choose the most appropriate option:  A) 18%  B) 9%  C) 22%  D) 24%  E) 21

Solution: 1340 ---- 130   100 ---- ? => 9%   Answer:9%
Answer: B
What will be the compound interest on a sum of Rs. 25,000 after 3 years at the rate of 12% p.a.?
Choose the correct option.
A) Rs. 9000.30 B) Rs. 9720 C) Rs. 10123.20 D) Rs. 10483.20 E) None

Solution: Amount = [25000 * (1 + 12/100)3]   = 25000 * 28/25 * 28/25 * 28/25 = Rs. 35123.20   C.I. = (35123.20 - 25000) = Rs. 10123.20   ANSWER:Rs. 10123.20
Answer: C
A rectangular park 60 m long and 40 m wide has two concrete crossroads running in the middle of the park and rest of the park has been used as a lawn. If the area of the lawn is 2109 sq. m, then what is the width of the road?	Choose the correct choice from the following choices.
A) 1  B) 3  C) 5  D) 6  E) 7

Solution: Area of the park = (60 x 40) m2 = 2400 m2.   Area of the lawn = 2109 m2.   Area of the crossroads = (2400 - 2109) m2 = 291 m2.   Let the width of the road be x metres. Then,   60x + 40x - x2 = 291   x2 - 100x + 291 = 0   (x - 97)(x - 3) = 0   x = 3.   3)
Answer: B
A certain no. when divided by 65 leaves a remainder 25, what is the remainder if the same no.be divided by 15?  Select
A) 3 B) 4 C) 6 D) 8 E) 9

Solution: Explanation:   65 + 25= 
65 + 25 = 90
90/15= 
90/15 = 6
6 (Remainder)   6
Answer: C
A family has two children. find the probability that both the children are boys given that at least
one of them is a boy?  Choose the correct choice.
A) 1/3 B) 2/3 C) 2/5 D) 3/7 E) 3/11

Solution: Let b stand for girl and g for boy. The sample space of the experiment is   S = {(g, g), (g, b), (b, g), (b, b)}   Let E and F denote the following events :   E : ‘both the children are boys’   F : ‘at least one of the child is a boy’   Then E = {(g,g)} and F = {(g,g), (g,b), (b,g)}   Now E n F = {(g,g)}   Thus P(F) = 3/4   and P (E n F )= 1/4   Therefore P(E|F) = P(E ∩ F)/P(F) = (1/4)/(3/4) = 1/3   1/3)
Answer: A
A crate of mangoes contains one bruised mango for every thirty mango in the crate. If three out of every four bruised mango are considerably unsaleable and there are 12 unsaleable mangoes in the crate then how many mango are there in the crate?
Pick:
A) 480 B) 580 C) 680 D) 280 E) 380

Solution: Let the total no of mangoes in the crate be x   Then the no of bruised mango = 1/30 x   Let the no of unsalable mangoes =3/4 (1/30 x)   1/40 x =12   x=480   480nswer is 480.
Answer: A
An amount of money is to be divided between Ram, Raja and Rahim in the ratio of 1:4:10. If the difference between the shares of Ram and Raja is Rs.300, what will be the difference between Raja and Rahim's share?
Select:
A) 600
B) 3000
C) 2866
D) 2999
E) 2678

Solution: 4-1= 
4-1 = 3
3 --- 300   10-4= 
10-4 = 6
6=> 300/3*6= 
300/3*6 = 600
600   600nswer: 600
Answer: A
{8,4,6,5,3,12,7}
What number should be inserted in the set of 7 values to get a median of 9?
Pick one
A) 20 B) 14 C) 16 D) 5 E) 8

Solution: Median is the middle number of a sorted distribution. In case of even number of items, Median will be the average of middle two values.   The question asks fora new number that will cause the median of new set at 9.   Mentionable that given set is already sorted and number of items of new set will be 7+1= 
7+1 = 8
8.   To get median 9,the sum of 4th5th Term should be 18 and it's 5+14.   So to keep the median 9, the new item should be >=14.   The answer is 14
Answer: B
The average runs scored by a batsman in 20 matches is 30. In the next 10 matches the batsman scored an average of 15 runs. Find his average in all the 30 matches? Choose the correct option
A) 25
B) 46
C) 88
D) 13
E) 12

Solution: Total score of the batsman in 20 matches = 600.   Total score of the batsman in the next 10 matches = 150.   Total score of the batsman in the 30 matches = 750.   Average score of the batsman = 750/30= 
750/30 = 25
25.   25nswer:25
Answer: A
What is the probability of flipping a fair coin three times and the coin landing on heads on all three flips?	Choose the correct option:
A) 3/8	B) 5/8	C) 7/8	D) 1/8	E) 1/4

Solution: Probability = (Favorable combination)/(Total combination)   Favorable combination = (HHH) ==> 1   Total combination = 8 (2^3)   Probability = (1)/(8)   (1/8)
Answer: D
If {x} is the product of all even integers from 1 to x inclusive, what is the greatest prime factor of {20} + {24}?
Choose the correct choice from the following answers:	A) 23	B) 25	C) 11	D) 5	E) 2

Solution: Soln:   {24} + {20} = 24*{20} +{20} = 25*{20}   ANSWER:25
Answer: B
There are 4 red books and 4 blue books on a shelf. If 2 books are selected at random from the shelf, what is the probability that both books selected are red books?	Choose the correct choice from the following answers.
A) 2/7  B) 3/7  C) 3/14  D) 5/28  E) 9/28

Solution: The number of ways of choosing 2 books from the shelf is 8C2 = 28.   The number of ways of choosing 2 red books is 4C2 = 6.   P(2 red books) = 6/28=3/14.   The answer is 3/14.
Answer: C
The distance between two cities A and B is 1410 Km. A train starts from A at 8 a.m. and travel towards B at 60 km/hr. Another train starts from B at 9 a.m and travels towards A at 75 Km/hr. At what time do they meet?	Choose the correct choice from the following options.
A) 09 PM B) 07 PM C) 11 PM D) 05 AM E) 03 AM

Solution: Explanation:   Suppose they meet x hrs after 8 a.m   then,   [Distance moved by first in x hrs] + [Distance moved by second in (x-1) hrs] = 1410.   Therefore, 60x + 75(x-1) = 1410.   => x=3.   So,they meet at (8+11) i.e, 7 PM.   Answer: 07 PM
Answer: B
A, B and C can do a work in 6, 8 and 12 days respectively doing the work together and get a payment of Rs.1800. What is B’s share?  Select.
A) 600
B) 277
C) 688
D) 268
E) 279

Solution: WC = 1/6:1/8:1/12 => 4:3:2   3/9 * 1800= 
3/9 * 1800 = 600
600   600nswer:600
Answer: A
If every alternative letter starting from B of the English alphabet is written in small letter, rest all are written in capital letters, how the month “ September” be written.
Choose the correct answer.
A) SeptEMbEr	B) SEpTeMBEr	C) SeptembeR	D) SepteMber	E) None of the above

Solution: Since every alternative letter starting from B of the English alphabet is written in   small letter, the letters written in small letter are b, d, f...   In the first two answers the letter E is written in both small & capital letters, so   they are not the correct answers. But in third and fourth answers the letter is written in small letter instead capital letter, so they are not the answers.   Answer:None of the above
Answer: E
The ratio of the present ages of P and Q is 3:4. 5 years ago, the ratio of their ages was 5:7. Find the their present ages? Choose the correct choice from the following choices
A) 30, 40	B) 30, 50	C) 60, 40	D) 10, 30	E) 50, 40

Solution: Answer: Option A   Their present ages be 3X and 4X.   5 years age, the ratio of their ages was 5:7, then (3X - 5):(4X - 5) = 5:7   X = 35 - 25 => X = 10.   Their present ages are: 30, 40.
Answer: A
What is the average of first 21 multiples of 8 ? Choices.
A) A)70
B) B)77
C) C)79
D) D)81
E) E)88

Solution: Required average = 8(1+2+....+21) / 21   (8/21)X ( (21x22) / 2 ) (because sum of first 21 natural numbers)   = 88   88
Answer: E
If grapes are 92% water and raisins are 20% water, then how much did a quantity of raisins, which currently weighs 12 pounds, weigh when all the raisins were grapes? (Assume that the only difference between their raisin-weight and their grape-weight is water that evaporated during their transformation.)
Choose one: A) 25 pounds B) 46 pounds C) 92 pounds D) 100 pounds E) 120 pounds

Solution: Since only water evaporates, then the weight of pulp (non-water) in grapes and raisins is the same. Thus 0.08*{weight of grapes}=0.8*{weight of raisins} --> 0.08x = 0.8*12 --> x = 120.   Answer: 120 pounds.
Answer: E
How many of the positive factors of 17 are not factors of 34?  Choose the correct choice:
A) 0 B) 1 C) 2 D) 3 E) 4

Solution: Factors of 17 - 1, 17   factors of 34- 1, 2, 17, 34,   Comparing both, we have three factors of 17which are not factors of 34- no factors   The answer is 0
Answer: A
After successive discounts of 20%, 10% and 5% a certain good is sold for Rs. 6400. Find the actual price of the good. Pick one:
A) s. 6000 B) s. 9000 C) s. 10800 D) s. 9357 E) s. 9980

Solution: Let actual price was 100.   After three successive discount this will become,   100 ==20% discount => 80 ==10% discount => 72 ==5% discount = 68.4   Now Compare,   68.4 = 6400   1 = 6400/68.4   100 = (6400*100)/68.4 = Rs. 9357.   Answer: Option s. 9357
Answer: D
The diagonal of the floor of a rectangular closet is 7 feet. The shorter side of the closet is 4 feet. What is the area of the closet in square feet?  Answers.
A) 33  B) 37  C) 27  D) 28  E) 23

Solution: Explanation:   Other side = = = = 6 ft   Area of closet = (6 x 4.5) sq. ft = 27 sq. ft.   Answer: 27) 27
Answer: C
A man travels 100km by train at 35km/hr, 200km by ship at 20km/hr, 300km by aeroplane at 100km/hr and 100km by car at 50km/hr. What is the average speed for the entire distance?  Choose the correct choice from the following options:
A) 39.2km/hr
B) 45km/hr
C) 48.9km/hr
D) 52.6km/hr
E) 27.6km/hr

Solution: Total distance traveled = 100+200+300+100= 
100+200+300+100 = 700
700km   Total time taken= 100/35 + 200/20 + 300/100 + 100/50 = 17.85 hrs   39.2km/hrverage speed = 700/17.85 = 39.2km/hr approximately ;   39.2km/hrnswer is 39.2km/hr
Answer: A
A bakery opened yesterday with its daily supply of 80 dozen rolls. Half of the rolls were sold by noon, and 80 percent of the remaining rolls were sold between noon and closing time. How many dozen rolls had not been sold when the bakery closed yesterday?
Choose the correct answer:
A) 8
B) 6
C) 5
D) 4
E) 3

Solution: answer is A ...8 dozens ....   half sold by noon --> 40 dozens (40 *12 =480)   remaining --> 40 dozens i.e 480 eggs...   80% sold --> 80*480/100 =384 eggs   remaining 20% --> 96 eggs (8 dozens ) --> answer --  80*480/100= 
 --  80*480/100 = 384
384 eggs   remaining 20% --> 96 eggs (8 dozens ) --> answer
Answer: A