MU-NLPC/Calc-aqua_rat huggingface dataset:
What time will be taken by an amount of Rs. 900 to yield Rs. 81 as interest at 4.5% per annum of simple interest?
Pick one
A) 7
B) 8
C) 9
D) 2
E) 1

Solution: Explanation:   P= Rs 900   Rate = 4.5*   SI= Rs 81   => SI= Time*P*rate   calculating for rate,   => Time= SI/rate*P   = 81/4.5%*900   => 2 years   Thus, it will take 2 years to yield Rs 81.   ANSWER: 2
Answer: D
A rectangular table seats 6 people on each of two sides, with every person directly facing another person across the table. If 12 people choose their seats at random, what is probability that person P directly faces person Q?  Choose the most appropriate option:	A) 1/13	B) 1/12	C) 1/11	D) 1/10	E) 1/9

Solution: Person P will be seated somewhere at the table.   Each of the other 11 people has an equal chance of sitting opposite person P.   The probability that person Q sits across is 1/11.   The answer is 1/11.
Answer: C
n is an integer chosen at random from the set
{5, 7, 9, 11 }
p is chosen at random from the set
{2, 6, 10, 14, 18}
What is the probability that n + p = 7 ? Choose the correct option:
A) 0.1	B) 0.2	C) 0.25	D) 0.05	E) 0.4

Solution: Set N: there is 4 ways to chose a number   Set P: there is 5 ways to chose a number   so total outcome is  4*5= 
 4*5 = 20
20 which is represent 20 pairs of number   now we have 1 pairs can give us 7 which are (5,2) .   1/20= 
1/20 = 1/20 = around 0.05
0.05   Answer 0.05
Answer: D
The letters of the word 'SERITI' are written in all possible orders and these words are written in alphabetical order. Then what is the rank of the word 'SERITI'
Pick.
A) - 238	B) - 245	C) - 307	D) - 315	E) - 275

Solution: Total Number of Words = 6!/2! = 360 [(number of characters)/(repeating group )!]   After S, we have T and E.   Number of words starting with T = 5!/2! = 60   Number of words starting with U = 5!/2! = 60   So any word starting with S will have rank < 360 - 60(for Us) - 60(for Ts) = 240   Only option - 238 < 240, so - 238nswer is - 238.
Answer: A
A box contains 3 blue marbles, 4 red, 6 green marbles and 2 yellow marbles. If two marbles are picked at random, what is the probability that they are either blue or yellow?  Choose the correct choice from the following:	A) 2/29	B) 2/20	C) 2/21	D) 2/22	E) 2/23

Solution: Given that there are three blue marbles, four red marbles, six green marbles and two yellow marbles. Probability that both marbles are blue = ³2/21₂/¹⁵2/21₂ = (3 * 2)/(15 * 14) = 1/35   Probability that both are yellow = ²2/21₂/¹⁵2/21₂ = (2 * 1)/(15 * 14) = 1/105   Probability that one blue and other is yellow = (³2/21₁ * ²2/21₁)/¹⁵2/21₂ = (2 * 3 * 2)/(15 * 14) = 2/35   Required probability = 1/35 + 1/105 + 2/35   = 3/35 + 1/105 = 1/35(3 + 1/3)   = 10/(3 * 35) = 2/21   Answer: 2/21
Answer: C
What is the smallest number which, when increased by 9, is divisible by 8, 11, and 24?  Choose the correct choice from the following choices.
A) 237  B) 246  C) 255  D) 264  E) 273

Solution: LCM(8,11,24)=24x11=264   So the least divisible number is 264, and the number we are looking for is   264-9= 
  264-9 = 255
255.   The answer is 255.
Answer: C
Dora walked 3 kilometers. She walked first 1.5 kilometers in 20 meter per sec and the rest 1.5 kilometers in 60 meter per sec. what is the average speed? Choose one:
A) 28m/s
B) 30m/s
C) 32m/s
D) 34m/s
E) 36m/s

Solution: Since the distance traveled is same, we can apply direct formula= 2XS1XS2/(S1+S2)   2X20X60/80= 30. '30m/s' is the answer.
Answer: B
There is a train and car. The ratio between the speed of a train & a car is 24:19 respectively. Also, a bus covered a distance of 320 km in 5 hours. The speed of the bus is 2/3rd of the speed of the train. How many kilometers will the car cover in 4 hours? Pick:
A) 276 B) 290 C) 304 D) 318 E) 332

Solution: The speed of the bus is 320/5= 
320/5 = 64
64 km/hr   The speed of the train is  (64*3)/2= 
 (64*3)/2 = 96
96 km/hr   The speed of the car is   96/24 * 19= 
  96/24 * 19 = 76
76 km/hr   The distance covered by the car in 4 hours is 76 × 4= 304 km   The answer is 304.
Answer: C
What is the probability that Jamie and Tom will get selected for a job they both applied for in a company, given that their chances of getting selected is 2/3 and 5/7 respectively?
Choose the correct choice from the following options:	A) 13/25	B) 2/5	C) 9/20	D) 11/20	E) 10/21

Solution: 10/21xplanation:   P(Jamie) = 2/3   P(Tom) = 5/7   10/21 = {Jamie and Tom both get selected}   P(10/21) = P(Jamie)*P(Tom)   = 2/3 * 5/7   = 10/21   ANSW10/21R: 10/21
Answer: E
What is the are of an equilateral triangle of side 16 cm?	Options
A) 64√5  B) 64√9  C) 44√3  D) 64√3  E) 14√3

Solution: Area of an equilateral triangle = √3/4 S2   If S = 16, Area of triangle = √3/4 * 16 * 16 = 64√3 cm2;   Answer: 64√3
Answer: D
The edge of three cubes of metal is 3 dm, 4 dm and 5 dm. They are melted and formed into a single cube. Find the edge of the new cube?
Choose the correct choice from the following answers: A) 15 B) 7 C) 9 D) 6 E) 3

Solution: 33 + 43 + 53 = a3 => a   = 6   Answer:6
Answer: D
An engine moves at the speed of 30 kmph without any coaches attached to it.Speed of the train reduces at the rate that varies directly as the square root of the number of coaches attached.When 9 coaches are attached speed decreases to 18 kmph. What will be the speed of train when 16 coaches are attached. Choose one:
A) 14
B) 16
C) 18
D) 20
E) 22

Solution: 1.   No. of coaches =9   sqr root=3   speed decreases by 12   12=k*3   k=4   No. of coaches=16   swr root=4   decrease=4*4= 
4*4 = 16
16   New speed=30-16= 
30-16 = 14
14   14
Answer: A
A husband and wife can complete a certain task in 1 and 2 hours respectively. Their children, Rae and Herman, can complete the same task in 4 and 5 hours, respectively. What is the ratio of the couple's time working together to complete the task to the children's time working together to complete the task?  Choose the correct choice from the following answers
A) a)15:46  B) b)3:10  C) c)12:23  D) d)5:18  E) e)10:3

Solution: couples one hour work=1/1+1/2=3/2   so total time=2/3..   now, kids one hour work=1/4+1/5=9/20   so total time=20/9..   ratio=2/3:20/9=3/10   ans b)3:10
Answer: B
Rs.2500 is divided into two parts such that if one part be put out at 5% simple interest and the other at 6%, the yearly annual income may be Rs.140. How much was lent at 5%? Options
A) 2288	B) 27669	C) 1766	D) 1000	E) 2871

Solution: (x*5*1)/100 + [(2500 - x)*6*1]/100 = 140   X = 1000   Answer: 1000
Answer: D
Two stations A and B are 110 km apart on a straight line. One train starts from A at 7 a.m. and travels towards B at 20 kmph. Another train starts from B at 8 a.m. and travels towards A at speed of 25 kmph. At what time will they meet?
Choose the correct answer.
A) 9 a.m.
B) 10 a.m.
C) 10.30 a.m.
D) 11 a.m.
E) None

Solution: Sol.   Suppose they meet x hours after 7 a.m.   Distance covered by A in x hours = 20 x km.   Distance covered by B in (x-1) hours = 25(x-1) km.   ∴ 20x + 25(x-1) = 110   ⇔ 45x = 135   ⇔ x = 3.   So, they meet at 10 a.m.   Answer 10 a.m.
Answer: B
When positive integer A is divided by positive integer B, the result is 5.15. Which of the following could be the reminder when A is divided by B?  Choose the correct answer
A) 2 B) 8 C) 7 D) 3 E) 5

Solution: the remainder will be obtained from the decimal part when A is divided by B i.e. 0.15   0.15 = 15/100 = 3/20 so possible remainders are 3,6,12,9,15. Only option 3-3 satisfies this   Ans - 3
Answer: D
In how many ways 8 different tickets W can be distributed between Jane and Bill if each is to receive any even number of tickets and all 8 tickets to be distributed.  Choose the correct option.
A) From 2 to 6 inclusive.  B) From 98 to 102 inclusive.  C) From 122 to 126 inclusive.  D) From 128 to 132 inclusive.  E) From 196 to 200 inclusive.

Solution: Possibilities   J 8 6 4 2 0   B 0 2 4 6 8   # of ways 8C8 8C6 8C4 8C2 8C0   W=1+28+70+28+1= 
1+28+70+28+1 = 128
128 Answer is From 128 to 132 inclusive..
Answer: D
How many pieces of 0.35 meteres can be cut from a rod 12.5 meteres long
Choose the correct option:
A) 30	B) 40	C) 35	D) 60	E) 70

Solution: Explanation:   We need so simple divide 42.5/0.85,   =(1250/35) = 35   Option 35
Answer: C
Two trains running in opposite directions cross a man standing on the platform in 27 seconds and 17 seconds respectively and they cross each other in 23 seconds. The ratio of their speeds is:	Choose the correct answer:  A) 3/7  B) 3/2.  C) 3/88  D) 3/8.  E) 2/2.

Solution: Let the speeds of the two trains be x m/sec and y m/sec respectively. Then, length of the first train = 27 x meters, and length of the second train = 17 y meters. (27 x + 17 y) / (x + y) = 23 ==> 27 x + 17 y = 23 x + 23 y ==> 4 x = 6 y ==> x/y = 3/2.   Answer: 3/2.
Answer: B
If 35 + 125 = 17.88, then what will be the value of 80 + 65 ?	Choose the correct choice from the following answers:
A) 13.41  B) 20.46  C) 21.66  D) 22.35  E) 23.25

Solution: 35 + 125 = 17.88   35 + 25 x 5 = 17.88   35 + 55 = 17.88   85 = 17.88   5 = 2.235   80 + 65 = 16 x 5 + 65   = 45 + 65   = 105 = (10 x 2.235) = 22.35   Answer: Option 22.35
Answer: D
A rectangular plot measuring 90 metres by 50 metres is to be enclosed by wire fencing. If the poles of the fence are kept 5 metres apart, how many poles will be needed? Choose the correct choice from the following answers
A) 55
B) 56
C) 57
D) 58
E) 59

Solution: Solution   Perimeter of the plot	= 2 ( 90 + 50 )   = 280 m.   Number of poles	= (280 / 5)= 
(280 / 5) = 56
56 m.   Answer 56
Answer: B
If abc ≠2 and the sum of the reciprocals of a, b, and c equals the reciprocal of the product of a, b, and c, then a =	Choose one.
A) (1 + bc)/(b + c)	B) (1 – bc)/(b + c)	C) (1 + b + c)/(bc)	D) (1 – b – c)/(bc)	E) (1 – b – c)/(b + c)

Solution: (1 + bc)/(b + c)nswer is (1 + bc)/(b + c) though it took me around 4 minutes to get that.
Answer: A
How many words, with or without meaning, can be formed using all letters of the word EQUATION using each letter exactly once?  Choose the correct answer:
A) 38,320
B) 39,320
C) 40,320
D) 38,400
E) 39,400

Solution: The Word EQUATION has exactly 8 letters which are all different.   Therefore the number of words that can be formed = Number of permutations of 8 letters taken all at a time.   = P (8, 8) = 8!   = 8 × 7 x 6 × 5 x 4 x 3 x 2 × 1   = 40,320   ANSWER:40,320
Answer: C
325 metres long yard, 26 trees are palnted at equal distances, one tree being at each end of the yard. What is the distance between 2consecutive trees Choose the correct answer:
A) 13
B) 12
C) 14
D) 16
E) 18

Solution: 26 trees have 25 gaps between them,   Required distance (325/25)= 
(325/25) = 13
13   13
Answer: A
A boy runs 200 metres in 24 seconds. What is his speed ?
Choose the correct answer.
A) 20 km/hr B) 24 km/hr C) 28.5 km/hr D) 30 km/hr E) 35 km/hr

Solution: 200/24 * 18/5= 
200/24 * 18/5 = 30
30 km/hr   Answer: 30 km/hr
Answer: D
What is the sum R of all 3 digit numbers that leave a remainder of '2' when divided by 3?
Answers:
A) 897
B) 164,850
C) 164,749
D) 149,700
E) 156,720

Solution: The series is => 101+...998   Number of terms => 300   sum => 300/2 * [101+998]   hence sum R=> 164850 i.e. option 164,850
Answer: B
David walks to a viewpoint and returns to the starting point by his car and thus takes a total time of 2 hours 20 minutes. He would have gained 1 hour by driving both ways. How long would it have taken for him to walk both ways.
Pick:  A) 4 h  B) 3 h  C) 5 h  D) 3 h 20 min  E) 6 h 20 min

Solution: 1.Walking to to a viewpoint+Driving back=2 hours 20 minutes   2.Driving to a viewpoint+Driving back=2 hours 20 minutes - 1 hours=1 hours 20 minutes, thereforeone way driving=1 hours 20 minutes/2 = 40 minutes.   3. From 1.one way driving=2 hours 20 minutes-40 minutes=1 hour 40 minutes.   4.Walking to to a viewpoint+Walking back=1 hours 40 minutes+1 hours 40 minutes=3 hours 20 minutes.   Answer: 3 h 20 min
Answer: D
A basket has 5 apples and 4 oranges. Three fruits are picked at random. The probability that at least 2 apples are picked is
Choose the correct choice: A) 25/42 B) 25/48 C) 25/45 D) 25/47 E) 25/43

Solution: Total fruits = 9   Since there must be at least two apples,   (5C2 * 4C1)/9C3 + 5C3/9C3 = 25/42.   25/42nswer:25/42
Answer: A
Arnold and Danny are two twin brothers that are celebrating their birthday. The product of their ages today is smaller by 17 from the product of their ages a year from today. What is their age today?	Answers.
A) 2.  B) 4.  C) 5.  D) 7.  E) 8.

Solution: ad = (a+1) (d+1) -17   0= a+d-16   a+d = 16   a=d (as they are twin brothers)   a=d=8   8. is the answer
Answer: E
If anitha rows 65 km upstream and 105 km down steam taking 13 hours each, then the speed of the stream
Answers:	A) 8.4 kmph	B) 5.5 kmph	C) 6 kmph	D) 8 kmph	E) 8.2 kmph

Solution: Speed upstream = 65/13= 
65/13 = 5
5 kmph   Speed down stream= 105/5= 
105/5 = 21
21 kmph   Speed of stream= ½ (21-5) = 8 kmph   ANSWER:8 kmph
Answer: D
Of the 20 participants in a certain competition, half are male, and half of the males are younger than 18 years of age. If half of the female competitors are also younger than 18 years of age, into how many distinct groups of 4 competitors could the participants be divided if each group must contain two males under 18 years of age and 2 females over 18 years of age? Options:
A) 3
B) 4
C) 6
D) 100
E) 20

Solution: M under 18 - 5   F above 18 - 5   How many distinct groups can be formed now: 5c2 * 5c2 = 100   Answer : 100
Answer: D
A cycle is bought for Rs.930 and sold for Rs.1210, find the gain percent?
Choose the correct choice from the following options: A) 70% B) 30% C) 40% D) 50% E) 80%

Solution: Explanation:   930---- 280   100 ---- ? => 30%   Answer: 30%
Answer: B
A shopkeeper sells his goods at cost price but uses a faulty meter that weighs 900 grams. Find the profit percent.
Select.
A) 12.11
B) 11.11
C) 13.11
D) 14.11
E) 15.11

Solution: Explanation:   (100 + g) / (100 + x) = True measure / Faulty measure   x = 0   true measure = 1000   faulty measure = 900   100 + g / 100 + 0 = 1000 / 900   100+g = 10/9*100   g = 11.11   ANSWER: 11.11
Answer: B
How many leading zeros (zeros after the decimal point but before the first nonzero digit of a number) are in 1/5!?  Choose the correct choice from the following answers:
A) 1	B) 2	C) 5	D) 6	E) 9

Solution: 5! =120   1/1000 < 1/120 < 1/100   0.0001 < 1/120 < 0.001   So 1/120 has 2 leading zeros   Answer: 2
Answer: B
0.35 represents what percent of 0.05?
Choices:
A) 0.05%
B) 0.5%
C) 5%
D) 700%
E) 5000%

Solution: One more method   0.35 represents what percent of 0.05?   Adjusting the decimal   35 represents what percent of 5?   700%ivide by 5   7 represents what percent of 1?   Answer = 7*100= 
7*100 = 700
700%= 700%
Answer: D
If 13 = 13w/(1-w) ,then (5w)2 = Choose the correct answer: A) 1/4 B) 5 C) 1 D) 2 E) 3

Solution: 13-13w=13w   26w=13   w=1/2   5w=5/2   5w*2=5/2*2= 
5/2*2 = 5
5   ANSWER:5
Answer: B
John, Vikram and Keerthana started a Pizza shop with capitals of Rs. 2000, Rs. 10000 and Rs. 12000 respectively. At the end of the year, the profit share of John is Rs. 500. The difference between the profit shares of Vikram and Keerthana is? Pick one
A) 480	B) 600	C) 500	D) 280	E) 160

Solution: Ratio of investments of John, Vikram and Keerthana is 2000 : 10000 : 12000 = 1 : 5 : 6   And also given that, profit share of John is Rs. 500   => 1 part out of 12 parts is Rs. 500   Now, required difference is 6 - 5= 
6 - 5 = 1
1 part   Required difference= 1/1 (500) = Rs. 500.Answer: 500
Answer: C
Evaluate: 6202.5 + 620.25 + 62.025 + 6.2025 + 0.62025  Choose one.
A) 6819.59775	B) 6981.59775	C) 6918.59775	D) 6198.59775	E) 6891.59775

Solution: 6202.5   620.25   62.025   6.2025   + 0.62025   ---------------   6891.59775   Answer is 6891.59775.
Answer: E
A and B finish the job in 15 days.while A,B and C can finish it in 6 days . C alone will finish the job in  Choose the correct choice.
A) 10 days	B) 30 days	C) 60 days	D) 70 days	E) 50 days

Solution: Explanation:   6 = (15 * x)/(15 + x)   90+6x=15x   9x=90   X=10   10 daysnswer: Option 10 days
Answer: A
If taxi fares were $1.00 for the first 1/5 mile and $0.25 for each 1/5 mile there after, then the taxi fare for a 3-mile ride was  Choices:
A) $1.56  B) $2.40  C) $3.80  D) $4.50  E) $2.80

Solution: In 3 miles , initial 1/5 mile charge is $1   rest of the distance = 3 - (1/5) = 14/5   rest of the distance charge = 14(0.25) = $3.5 (as the charge is 0.25 for every 1/5 mile)   => total charge for 3 miles = 1+3.5= 
1+3.5 = 4.5
4.5   Answer is $4.50.
Answer: D
John deposited $10,000 to open a new savings account that earned 4 percent annual interest, compounded quarterly. If there were no other transactions in the account, what was the amount of money in John’s account 6 months after the account was opened? Choose the correct choice from the following options:
A) $10,100	B) $10,101	C) $10,200	D) $10,201	E) $10,400

Solution: Approach #1:   4 percent annual interest compounded quarterly --> 1% in 3 moths.   For the first 3 moths interest was 1% of $10,000, so $100;   For the next 3 moths interest was 1% of $10,000, plus 1% earned on previous interest of $100, so $100+$1=$101;   Total interest for 6 months was $100+$101  100+ 1= 
  100+ 1 = 101
$101;   Total interest for 6 months was $100+$101=$201, hence balance after 6 months was $10,000+ $201 100+ 101= 
 100+ 101 = 201
$201, hence balance after 6 months was $10,000+ $201=$10,201.   Answer: D.   Approach #2:   If the interest were compounded every 6 moths instead of every 3 months (quarterly) then in 6 months the interest would be 4%/2=2% of $10,000, so $200. Now, since the interest is compounded quarterly then there would be interest earned on interest (very small amount) thus the actual interest should be a little bit more than $200, only answer choice D fits.   Answer: $10,201.4 /2= 
4 /2 = 2
2% of $10,000, so $200. Now, since the interest is compounded quarterly then there would be interest earned on interest (very small amount) thus the actual interest should be a little bit more than $200, only answer choice D fits.   Answer: $10,201.
Answer: D
How many 4 digit numbers are there, if it is known that the first digit is odd, the second is odd, the third is prime, the fourth (units digit) is divisible by 3, and the digit 1 can be used only once?  Choices: A) 20 B) 150 C) 384 D) 300 E) 320

Solution: 4 options for the first digit: 1, 3, 5, 7, 9;   5 options for the second digit: 1, 3, 5, 7, 9;   4 options for the third digit: 2, 3, 5, 7;   4 options for the fourth digit: 0, 3, 6, 9.   Four digit # possible without the restriction (about the digit 2): 5*5*4*4=400   Numbers with one 1-s, 1X1X 1*1*4*4=16.   Thus there are 400-16= 
400-16 = 384
384 such numbers.   Answer: 384.
Answer: C
Anil bought a T.V with 20% discount on the labeled price . Had he bought it with 25% discount, he would have saved Rs. 500. At what price did he buy the T.V?
Choose the most appropriate option:	A) Rs. 16000	B) Rs. 12000	C) Rs. 10000	D) Rs. 5000	E) Rs. 7000

Solution: Let the labelled price be Rs. X,   S.P = 80/100*X =4X/5   New S.P = 75/100*X = 3X/4   4X/5 –3X/4 500, X = 10000   ANSWER:Rs. 10000
Answer: C
I remember during the school days , the teacher asked the class "can you tell me the sum of the first 50 odd numbers ?".
I ran quickly to the teacher and told her "the answer is 2500". The teacher replied "lucky guess".
She then asked me "can you tell me the sum of first 75 odd numbers ?".
I wait for approx 10 seconds and replied with the correct answer.
How can i answer so quickly and whats the correct answer ? Options:  A) 5624  B) 5625  C) 5626  D) 5627  E) None

Solution: Solution:   5625   n^1   75 * 75= 
75 * 75 = 5_625
5625 (sum of first 75 odd numbers).   50 * 50= 
50 * 50 = 2_500
2500 (sum of first 50 odd numbers).   Answer 5625
Answer: B
A train of length 250 m crosses a bridge of length 180m in 20 seconds. What is the speed of train?	Choices
A) 33 B) 77.4 C) 25 D) 22 E) 72

Solution: Sol : (length of train+ length of bridge) = speed of train x Time   (250+180) = 20 x Speed   Speed = 430/20= 
430/20 = 43/2 = around 21.5
21.5 m/s=77.4 km/h   ANSWER=77.4
Answer: B
On dividing 265 by a number, the quotient is 12 and the remainder is 1. Find the divisor.	Select the correct option.
A) A)12
B) B)14
C) C)16
D) D)18
E) E)22

Solution: d = (D-R)/Q   = (265 - 1)/12   = 264/12= 
264/12 = 22
22   22)
Answer: E
The average runs scored by a batsman in 20 matches is 40. In the next 10 matches the batsman scored an average of 13 runs. Find his average in all the 30 matches?	Choose the correct option:
A) 31
B) 67
C) 88
D) 69
E) 12

Solution: Total score of the batsman in 20 matches = 800.   Total score of the batsman in the next 10 matches = 130.   Total score of the batsman in the 30 matches = 930.   Average score of the batsman = 930/30= 
930/30 = 31
31.   31nswer:31
Answer: A
if an article with marked price of rs.400 is sold at successive discount of 10%,25% and 15%,what is the price the customer has to pay?  Choose the correct choice from the following:	A) 360	B) 300	C) 230	D) 270	E) 290

Solution: discount=0.9*.75*.85=.57   so .57*400=230   ANSWER:230
Answer: C
The ratio of the present ages of Ram and Rahim is 3 : 2. The ratio of the present ages of Rahim and Aman is 5 : 2. What is the ratio of the present ages of Ram and Aman?
Choose the correct choice from the following.
A) 4 : 15
B) 15 : 4
C) 9 : 5
D) Cannot be determined
E) None of these

Solution: ram/rahim=3/2;   rahim/aman=5/2;   rahim=5aman/2;   ram/(5aman/2)=3/2;   ram=(3/2)*5aman/2;   ram/aman = (3/2)*5/2;   ram/aman = 15/4   ANSWER:15 : 4
Answer: B
In a class of 25 students in an examination in maths 3 students scored 95 marks each, 3 get zero each and the average of the rest was 45. What is the average of the whole class?
Choose the correct choice:
A) 47
B) 45.6
C) 44
D) 48
E) 49

Solution: Explanation:   Total marks obtained by a class of 25 students   = 3*95 + 3*0 + 19 * 45= 
3*95 + 3*0 + 19 * 45 = 1_140
1140   Average marks of whole class= 1140/25= 
1140/25 = 228/5 = around 45.6
45.6   Answer: Option 45.6
Answer: B
The difference between the compound interest compounded annually and simple interest for 2 years at 20% per annum is Rs.432. Find the principal?  Select:
A) 2277	B) 2667	C) 3600	D) 9766	E) 10800

Solution: P = 432(100/5)^2 => P = 10800   Answer: 10800
Answer: E
Three (rather lazy) men A, B and C working together can do a work in 5 days. They start the work together and A works for 1 day and takes rest on the second day, B works for 2 days and takes rest on the next two days and C works for 2 days and takes rest on the next three days. In how many days will the work be completed ? (A, B, C work at the same rate) Select: A) 7 days B) 8 days C) 9 days D) 10 days E) 11 days

Solution: Total work is 3*5= 
3*5 = 15
15 units.   A does 1 day of work every 2 days.   B does 2 days of work every 4 days.   C does 2 days of work every 5 days.   Test the options.   In 7 days:   A will do  1*3 + 1= 
 1*3 + 1 = 4
4 units (3 complete cycles and 1 day of work).   B will do  2*1+ 2= 
 2*1+ 2 = 4
4 units (1 complete cycle, 2 days of work, and 1 day of rest).   C will do  2*1 + 2= 
 2*1 + 2 = 4
4 units (1 complete cycle and 2 days of work).   Total= 4 + 4 + 4= 
4 + 4 + 4 = 12
12 units.   In 8 days:   A will do  1*4= 
 1*4 = 4
4 units (4 complete cycles).   B will do  2*2= 
 2*2 = 4
4 units (2 complete cycles).   C will do  2*1 + 2= 
 2*1 + 2 = 4
4 units (1 complete cycle, 2 days of work, and 1 day of rest).   Total= 4 + 4 + 4= 
4 + 4 + 4 = 12
12 units.   In 9 days:   A will do  1*4 + 1= 
 1*4 + 1 = 5
5 units (4 complete cycles and 1 day of work).   B will do 2*2+ 1= 4 units (2 complete cycles and 1 day of work).   C will do  2*1 + 2= 
 2*1 + 2 = 4
4 units (1 complete cycle, 2 days of work, and two days of rest).   Total= 5 + 5 + 4= 
5 + 5 + 4 = 14
14 units.   In 10 days:   A will do  1*5= 
 1*5 = 5
5 units (5 complete cycles).   B will do  2*2+ 2= 
 2*2+ 2 = 6
6 units (2 complete cycle and 2 days of work).   C will do  2*2= 
 2*2 = 4
4 units (2 complete cycles).   Total= 5 + 6 + 4= 
5 + 6 + 4 = 15
15 units.   Therefore, the answer is 10 days.
Answer: D