MU-NLPC/Calc-aqua_rat huggingface dataset:
Ajay bought a motor cycle for Rs. 50,000. 2 years later he sold it to Vijay at 10% less of the cost price. Vijay spend 5% of the purchasing price on its maintenance. Later Vijay displayed the sale price of his motorcycle Rs. 50,000. Chetan wanted to purchase it at 15% discount but Vijay gave him two successive discounts of 10% and 5% instead of 15% in one time. What is the actual discount availed by Chetan?
Choose the correct choice from the following options.
A) 15%	B) 15.5%	C) 14.5	%	D) 16.5%	E) Cannot determined

Solution: Solution: 100 ----10%↓(1st discount)---> 90----5%↓---> 85.5   Net discount = 100-85.5= 
100-85.5 = 14.5
14.5%.   Answer: Option 14.5	%
Answer: C
A certain electric-company plan offers customers reduced rates for electricity used between 8 p.m. and 8 a.m. weekdays and 24 hours a day Saturdays and Sundays. Under this plan, the reduced rates Q apply to what fraction of a week?
Choose the correct choice
A) 1/2 B) 5/8 C) 9/14 D) 16/21 E) 9/10

Solution: Number of hours between 8 PM to 8 AM = 12   Number of hours with reduced rates = (12*5)+(24*2)   Hours with reduced rates Q /Total number of hours in a week = (12*5)+(24*2)/(24*7) = 108/(24*7) = 9/14   Answer: 9/14
Answer: C
If x and y are integers such that x^2= y and xy = 27, then x – y = ?
Choices
A) -30	B) -20	C) -6	D) 5	E) 20

Solution: here x and y are integers .   x^2=y xy =27.   substitute x^2=y in xy => x^3=27.   here X3 is positive ,   x is also positive.   x=3 then y=9.   x-y=-6   so option -6 is correct
Answer: C
The two trains of lengths 400 m, 600 m respectively, running at same directions. The faster train can cross the slower train in 180 sec, the speed of the slower train is 48 km. then find the speed of the faster train? Choose the correct choice from the following options
A) 85 Kmph B) 68 Kmph C) 103 Kmph D) 60 Kmph E) 90 Kmph

Solution: Answer: Option 68 Kmph   Length of the two trains = 600m + 400m   Speed of the first train = X   Speed of the second train= 48 Kmph   1000/X - 48 = 180   1000/x - 48 * 5/18 = 180   50 = 9X - 120   X = 68 Kmph
Answer: B
A 300m race is held between two players running 3m/s and 5m/s in swimming pool of 50m long. how many times the two player meet in opposite direction till the faster one completes the race. Select the correct option:
A) 3
B) 4
C) 5
D) 6
E) 7

Solution: Every 10sec of time 1st will cover 30m   2nd will cover 50m,To complete total race by faster one i,e 2nd will take 50sec,   In that duration there are 4 crossings had been taken place,that's ans is 4   ANSWER:4
Answer: B
If a and b are positive integers and x = 7^a and y = 3^b, which of the following is a possible units digit of xy?	Choose the correct choice from the following answers.
A) 2
B) 5
C) 6
D) 8
E) 9

Solution: The units digit of 7^a is either 7, 9, 3 or 1.   The units digit of 3^b is 3, 9, 7, or 1.   We can multiply the units digits together to see that the units digits of xy could be 1, 3, 7, or 9.   The answer is 9.
Answer: E
A toy store sells small, medium, large, and super-large toy trucks in each of the colors red, blue, black, green, and yellow. The store has an equal number of trucks of each possible color-size combination. If Paul wants a medium, red truck and his mother will randomly select one the trucks in the store, what is the probability that the truck she selects will have at least one of the two features Paul wants?  Options
A) 2/5  B) 7/15  C) 13/25  D) 17/25  E) 19/30

Solution: Probability of NOT selecting medium out of 4 sizes = 3/4   Probability of NOT selecting red out of 5 colours = 4/5   Total probability of NOT selecting red and medium = (3/4)*(4/5) = 3/5   Required probability = 1 - 3/5 (this will select at least one of red and medium)   = 2/5   The answer is 2/5.
Answer: A
Sue's trail mix is 30% nuts and 70% dried fruit. Jane's trail mix is 60% nuts and 40% chocolate chips. If the combined mixture of Sue and Jane's trails mix contains 55% nuts, what percent of the combined mixture is dried fruit?  Options:
A) 8.5% B) 11.7% C) 14.2% D) 17.6% E) 20.5%

Solution: 55% is 25%-points above 30% and 5%-points below 60%.   So the ratio of Sue's mix to Jane's mix is 1:5.   1/6*70% = 11.7%   The answer is 11.7%.
Answer: B
A person is traveling at 100 km/hr and reached his destiny in 5 then find the distance?  Choose the most appropriate option: A) 250km B) 300km C) 500km D) 450km E) 350km

Solution: T = 5hr   S = 100km/hr   D= T*S = 100*5= 
100*5 = 500
500KM   Answer is 500km
Answer: C
A set S = {x, -8, -5, -3, 3, 6, 9, y} with elements arranged in increasing order. If the median and the mean of the set are the same, what is the value of |x|-|y|? Choices.
A) 2
B) 0
C) -1
D) Cannot be determined
E) 1

Solution: Median of the set = (-3+3)/2= 
(-3+3)/2 = 0
0   2s per statement, Mean of the set= 0   Mean of the set   |y|- |x| +18-16 = 0 (where x is negative n y is positive)   |y|- |x| = -2   So the absolute difference between two numbers is 2   2nswer 2
Answer: A
A rectangular football field is fenced on all four sides. The length of the football field is twice the length of its breadth. The cost of fencing the field was $360. The football management has decided to change the dimensions of field by decreasing the breadth by 50% of its original value and increasing the length by 25% of its original value and fence the field again.. What will be the cost of the new fencing?  Options.
A) $360	B) $180	C) $425	D) $405	E) $415

Solution: Let's take x to be the breadth. Then the length of the football field is 2x.   The perimeter of the old football field is x + 2x + x + 2x = 6x.   Now, for the new football field:   The new breadth = 0.5 times old breadth = 0.5x   The new length is 1.25 times old length = (1.25)2x = 2.5x   So the new perimeter is 0.5x + 2.5x + 0.5x + 2.5x = 6x.   The new perimeter is the same as the older perimeter! So presumably the cost is the same at $360.   $360ns - $360 0.5  + 2.5  + 0.5  + 2.5= 
 0.5  + 2.5  + 0.5  + 2.5 = 6
6x.   The new perimeter is the same as the older perimeter! So presumably the cost is the same at $360.   $360ns - $360
Answer: A
If the price of 23 toys is 230, then what will the price of 18 toys ?	Choose the most appropriate option
A) 144	B) 361	C) 180	D) 287	E) 112

Solution: One toy price = 230/23= 
230/23 = 10
10   18 toy price= 18 * 10= 
18 * 10 = 180
180   Answer : 180
Answer: C
Given a spinner with four sections of equal size labeled Q, B, C, and D, what is the probability of NOT getting an Q after spinning the spinner two times? Pick one:
A) 15/16	B) 9/16	C) 1/2	D) 1/4	E) 1/8

Solution: The probability of NOT getting an Q after spinning the spinner two times is 3/4*3/4=9/16 (so getting any of the remaining 3 letters out of 4).   Answer: 9/16.
Answer: B
If |20x-10| = 190, then find the product of the values of x?	Pick one:
A) -45	B) 50	C) -62	D) 35	E) -90

Solution: |20x-10| = 190   20x-10 = 190 or 20x-10 = -190   20x = 200 or 20x = -180   x = 10 or x = -9   product = -9*10 = -90   Answer is -90
Answer: E
What is the product of all the prime factors of 13?
Answers
A) 12 B) 11 C) 13 D) 15 E) 18

Solution: factors :1 , 13   1*13= 
1*13 = 13
13   Answer : 13
Answer: C
If nine persons sit in a row, then the probability that three particular persons are always together is?	Select the correct option
A) 1/5
B) 1/4
C) 1/9
D) 1/6
E) 1/12

Solution: Nine persons can be arranged in a row in 9! ways.   Treat the three persons to sit together as one unit then there six persons and they can be arranged in 6! ways.   Again three persons can be arranged among them selves in 3! ways.   Favourable outcomes = 3!6!   Required probability = 3!6!/9! = 1/12   Answer:1/12
Answer: E
In how many different ways can the letters of the word "CLAIM" be rearrangement?
Pick
A) 110 B) 120 C) 125 D) 130 E) 140

Solution: The total number of arrangements is   5P5 = 5! = 120   120
Answer: B
Convert the 1/3 m/s into kilometers per hour?	Choose the correct option.
A) 2.9 kmph  B) 9.9 kmph  C) 1.3 kmph  D) 1.2 kmph  E) 5.7 kmph

Solution: 1/3 m/s = 1/3 * 18/5 = 12/10= 
12/10 = 6/5 = around 1.2
1.2 kmph.   Answer: 1.2 kmph
Answer: D
On his drive to work, Leo listens to one of three radio stations A, B or Q. He first turns to A. If A is playing a song he likes, he listens to it; if not, he turns it to B. If B is playing a song he likes, he listens to it; if not, he turns it to Q. If Q is playing a song he likes, he listens to it; if not, he turns off the radio. For each station, the probability is 0.30 that at any given moment the station is playing a song Leo likes. On his drive to work, what is the probability that Leo will hear a song he likes?  Choose the correct choice from the following answers:  A) 0.027  B) 0.09  C) 0.417  D) 0.657  E) 0.9

Solution: Probability he hears a song is like:   Tune to A and likes what he is hearing = 0.3   Tune to A, don't find he like what they are airing, then tune to B and likes what he finds there = 0.7 * 0.3= 
0.7 * 0.3 = 0.21
0.21   Tune to A, finds crap there, Tune to B, hears a similar crap, Tune to Q and finally falls in love with the program= 0.7^2 * 0.3 = 0.147   Total = 0.657   Ans 0.657
Answer: D
How many positive integers less than 250 are there such that they are multiples of 15 or multiples of 14?
Choose the most appropriate option:  A) 30  B) 31  C) 32  D) 33  E) 34

Solution: 250/15 = 16 (plus remainder) so there are 16 multiples of 15   250/14 = 17 (plus remainder) so there are 17 multiples of 14   We need to subtract 1 because 15*14 is a multiple of both so it was counted twice.   The total is  16+17-1= 
 16+17-1 = 32
32   The answer is 32.
Answer: C
The ages of two persons differ by 16 years. 6 years ago, the elder one was 3 times as old as the younger one. What are their present ages of the elder person?  Choose the correct choice:
A) 10 B) 20 C) 30 D) 40 E) 35

Solution: Present age of elder = x   younger= x-16   (x-6)(x-16-6)   x-6-3x-66   2x=60   x=30   ANSWER 30
Answer: C
A certain machine produces 1,100 units of product P per hour. Working continuously at this constant rate, this machine will produce how many units of product P in 6 days? Choose the correct choice from the following options:
A) 7,000	B) 24,000	C) 40,000	D) 100,000	E) 158,400

Solution: Since 6 days consist of 24*6 hours the total is 144 hours.   Since every hour the machine produces 1100 units of product P the total product during 144 hours is 144*1100=158,400.   Correct Option : 158,400
Answer: E
(x^n-a^n) is completely divisible by (x-a), when?
Choose the correct option:
A) n is any natural number B) n is an even natural number C) n is an odd natural number D) n is prime E) None of these

Solution: For every natural number n,(x^n-a^n) is always divisible by (x-a).   Correct Option: n is any natural number
Answer: A
Sachin is younger than Rahul by 8 years. If the ratio of their ages is 7:9, find the age of Sachin Choose the correct choice from the following answers:
A) 24.58 B) 24.5 C) 26 D) 27 E) 28

Solution: If Rahul age is x, then Sachin age is x-8,   so (x-8)/x = 7/9   => 9x-72 = 7x   => 2x = 72   => x = 36   So Sachin age is   36-8= 
  36-8 = 28
28   Answer: 28
Answer: E
When a certain shoe store reduces the price of its best-selling style of shoe by 20 percent, the weekly sales of this style increase by 10 percent. Which of the following best describes the resulting change in the store's weekly revenue from sales of this style of shoe? Choose the correct choice from the following options:
A) Revenue decreases by 10%  B) Revenue decreases by 12%  C) There is no change in revenue  D) Revenue increases by 12%  E) Revenue increases by 10%

Solution: Old price = 10, old sales = 10 --> old revenue = 100;   New price = 8, new sales = 11 --> new revenue = 88.   Revenue decreased by 12%.   Answer: Revenue decreases by 12%.
Answer: B
Three rugs have a combined area of 196 square meters. By overlapping the rugs to cover floor area of 140 square meters, the area that is covered by exactly two layers of rug is 24 square meters. What is the area that is covered with three layers of rug ?	Choose one.
A) 15 square meters
B) 20 square meters
C) 24 square meters
D) 28 square meters
E) 30 square meters

Solution: Total = Rug1 + Rug2 + Rug3 - {overlap of exactly 2 rugs} - 2*{overlap of exactly 3 rugs}   140 = 194 - 24 - 2*{overlap of exactly 2 rugs} --> {overlap of exactly 3 rugs} = 15.   15 square metersnswer: 15 square meters.
Answer: A
saran purchased 30 kg of wheat at the rate of Rs. 11.50 per kg and 20 kg of wheat at the rate of 14.25 per kg. He mixed the two and sold the mixture. Approximately what price per kg should be sell the mixture to make 30% profit? Choose one:
A) 12.45
B) 10.5
C) 16.3
D) 45.12
E) 23

Solution: C   C.P. of 50 kg wheat = (30 * 11.50 + 20 * 14.25) = Rs. 630.   S.P. of 50 kg wheat = 130% of Rs. 630 = 130/100 * 630 = Rs. 819.   S.P. per kg = 819/50 = Rs. 16.38 = 16.30.
Answer: C
What is the next number of the following sequence
2,3,6,18,108,?
Choose the correct choice:  A) 1922  B) 1944  C) 1934  D) 1936  E) 1942

Solution: 2*3= 
2*3 = 6
6   3*6= 
3*6 = 18
18   6*18= 
6*18 = 108
108   18*108= 
18*108 = 1_944
1944   therefore next no. is 1944   ANSWER:1944
Answer: B
when n divided by 3, the remainder is 2.
when n divided by 4, the remainder is 1
what is the the remainder when divided by 13	Choose the correct option:
A) 1
B) 3
C) 4
D) 5
E) 12

Solution: case1   N=5,8,11,14,17,20   case 2   M=5,9,13,17,21   Therefore n=17   Remainder of 17/13 will be 4   4
Answer: C
The probability that a number selected at random from the first 50 natural numbers is a composite number is  Choose the correct answer:  A) 17/22  B) 17/25  C) 17/21  D) 17/29  E) 17/98

Solution: Explanation:   The number of exhaustive events = âµâ°Câ‚ = 50.   We have 15 primes from 1 to 50.   Number of favourable cases are 34.   Required probability = 34/50 = 17/25.   Answer: 17/25
Answer: B
In what time will $ 1000 become $ 1331 at 10% per annum compounded annually?  Choose the correct choice from the following options:
A) 3 Years  B) 4 Years  C) 5 Years  D) 2 Years  E) 1 Year

Solution: Principal = $ 1000; Amount = $ 1331; Rate = 10% p.a. Let the time be n years. Then,   [ 1000 (1+ (10/100))^n ] = 1331 or (11/10)^n = (1331/1000) = (11/10)3   n = 3 years.   3 Yearsnswer 3 Years.
Answer: A
When 4 dice are thrown, what is the probability that the same number appears on each of them?  Choose one: A) 1/36 B) 1/18 C) 1/216 D) 1/5 E) 1/4

Solution: Sample space (Denominator): When 4 dice are thrown simultaneously, then the total number of possible outcomes is 64 = 1296.   Event (Numerator): The chances that all the dice show same number (1,1,1,1),   (2,2,2,2), (3,3,3,3), (4,4,4,4), (5,5,5,5), (6,6,6,6)} is 6.   Probability = Event/ Sample space = 6/64 = 1/63 = 1/216.   ANSWER:1/216
Answer: C
A speed of 14 metres per second is the same as :  Choose one
A) 50.4 km/hr
B) 55 km/hr
C) 60 km/hr
D) 68.5 km/hr
E) None

Solution: Sol.   14 m/sec = [14 * 18/5] km/hr = 50.4 km/hr.   50.4 km/hrnswer 50.4 km/hr
Answer: A
If in a certain sequence of consecutive multiples of 50, the median is 725, and the greatest term is 1100, how many terms that are smaller than 725 are there in the sequence?  Choose the correct choice:
A) 7 B) 6 C) 8 D) 12 E) 13

Solution: Since the median is 725 we know there must be a even number of integers because 50 is not a multiple of 725.   So the list around 725 must go. 700 (725) 750 800 850 900 950 1000 1050 1100   Since we know there are 8 numbers greater than 725 then there must be 8 numbers less then 725.   answer:8
Answer: C
If the city centers of New York and Paris are 3,627 miles apart, which of the following is closest to the distance between the city centers in inches? (There are 5,280 feet in a mile.)  Choose the correct option:  A) 6.5 × 10^6  B) 1.8 × 10^7  C) 2.3 × 10^8  D) 4.5 × 10^9  E) 6.8 × 10^10

Solution: 3627 miles = 3627 x 5280 feet/mile x 12 inches/foot which is about 2.3 x 10^8 inches.   The answer is 2.3 × 10^8.
Answer: C
The amounts of time that three secretaries worked on a special project are in the ratio of 2 to 3 to 5. If they worked a combined total of 80 hours, how many hours did the secretary who worked the longest spend on the project? Choose the most appropriate option
A) 80
B) 70
C) 56
D) 16
E) 40

Solution: 10x = 80   => x = 8   Therefore the secretary who worked the longest spent 8 x 5 = 40 hours on the project   Option (40)
Answer: E
Two pipes A and B can fill a tank in 4 and 5 hours respectively. If they are turned up alternately for one hour each, the time taken to fill the tank is? Choose the correct choice from the following choices
A) 3 hrs
B) 5 hrs
C) 2 hrs 15 min
D) 4hrs 24 min
E) 4 hrs

Solution: 1/4 + 1/5 = 9/20   20/9 = 2 2/9   9/20 * 2 = 9/10 ---- 4 hours   WR = 1 - 9/10 = 1/10   1 h ---- 1/4   ? ----- 1/10   2/5 * 60= 
2/5 * 60 = 24
24= 4 hrs 24 min   Answer: 4hrs 24 min
Answer: D
In a class everyone will play at least one sport viz table tennis, cricket and badminton. 73
students play table tennis, 79 play badminton, 75 play cricket and 25 students play both table
tennis and badminton, 24 play both table tennis and cricket 30 play. Badminton and cricket and
15 students play all the sports. How many students play only cricket ? Choose the correct choice from the following:
A) 36 B) 38 C) 39 D) 47 E) 37

Solution: PERSONS PLAY 39RI39KET ONLY=N(39)-N(B∩39)+N(39∩T)-2(N(B∩T∩39))   =75-30+24-(2*15)= 
75-30+24-(2*15) = 39
39   ANSWER:39
Answer: C
A trader has 50 kg of rice, apart of which he sells at 10 per cent profit and the rest at 5 per cent loss. He gains 7 per cent on the whole. What is the quantity sold at 10 per cent gain and 5 per cent loss? Choose the most appropriate option.
A) 30kg, 10kg
B) 40kg, 15kg
C) 35kg, 40kg
D) 40kg, 10kg
E) 50kg, 10kg

Solution: Ratio of quantities sold at 10%profit and 5%loss   =>12:3 = 4:1   Therefore,the quantity sold at 10%profit   =50/(4 +1) x 4   =40 kg   and the quantity sold at 5%loss   =50 - 40= 
50 - 40 = 10
10 kg   ANSWER:40kg, 10kg
Answer: D
For 6-digit integer 46x,y12, when x and y are drawn at random from {3,5,8}, what is the probability R that the integer drawn is divisible by 8?
* A solution will be posted in two days.	Choose the correct choice from the following.
A) 1/6 B) 1/3 C) 1/2 D) 2/3 E) 5/6

Solution: In general, the remainder divided by integer n is the same as the remainder that up to tens of n is divided by 8.   Thus, in order for 46,x,y12 to be divided by 8, y12 should be divided by 8.   Amongst 3,5,8, 3 and 5 can be divided by 8.   Therefore,R two out of three can be divided and the answer is 2/3.
Answer: D
A man buys two articles for Rs.1980 each and he gains 10% on the first and loses 10% on the next. Find his total gain or loss percent?  Select the correct option:	A) 1% gain	B) 6% gain	C) 8% gain	D) 5% gain	E) 9% gain

Solution: Explanation:   1% gainnswer:1% gain
Answer: A
Amar takes as much time in running 18 meters as a car takes in covering 48 meters. What will be the distance covered by Amar during the time the car covers 1.6 km?  Options
A) 187 m  B) 787 m  C) 877 m  D) 600 m  E) 788 m

Solution: 600 mistance covered by Amar = 18/4.8 (1.6km)   = 3/8(1600)   = 600 m   Answer:600 m
Answer: D
If the number 72592*6 is completely divisible by 8, then the smallest whole number in place of * will be?
Select the correct option:
A) 1 B) 2 C) 4 D) 5 E) None of these

Solution: The number 2x6 must be divisible by 8.   x=1 as 216 is divisible by 8.   Correct Option : 1
Answer: A
3+2=12
4+1=16
5+9=65
6+8=78
7+3=??
Solve it?	Choose one.
A) 12 B) 16 C) 68 D) 42 E) 91

Solution: x+y=x[y+(x-1)]=x^2+xy-x   3+2=3[2+(3-1)]=9+6-3= 
9+6-3 = 12
12   4+1=4[1+(4-1)]=16+4-4= 
16+4-4 = 16
16   5+9=5[9+(5-1)]=25+45-5= 
25+45-5 = 65
65   6+8=6[8+(6-1)]=36+48-6= 
36+48-6 = 78
78   7+3=7[3+(7-1)]=49+21-7= 
49+21-7 = 63
63   Answer :68
Answer: C
Sound is said to travel in air at about 1100 feet per second. A man hears the axe striking the tree, 11/5 seconds after he sees it strike the tree. How far is the man from the wood chopper? Choose the correct choice from the following answers.
A) 2420 ft
B) 2524 ft
C) 2600 ft
D) 2740 ft
E) None

Solution: Sol.   Distance = [1100 * 11/5= 
1100 * 11/5 = 2_420
2420 feet.   2420 ftnswer 2420 ft
Answer: A
A sum of money at simple interest amounts to Rs. 1072 in 2 years and to Rs. 1144 in 4 years. The sum is:	Options:
A) Rs. 1000	B) Rs. 850	C) Rs. 500	D) Rs. 1200	E) Rs. 900

Solution: S.I. for 2 years = Rs. (1144 - 1072) = Rs. 72.   S.I. for 1 year = Rs. 72/2 = Rs. 36.   Principal = Rs. (1072 - 72) = Rs. 1000.   Rs. 1000nswer: Option Rs. 1000
Answer: A
The area of a square field is 400 km2. How long will it take for a horse to run around at the speed of 20 km/h ?	Select the correct option:
A) 12 h
B) 10 h
C) 4 h
D) 6 h
E) None of these

Solution: Explanation Area of field = 400 km2. Then, each side of field = √400=20km Distance covered by the horse = Perimeter of square field = 20 × 4 = 80 km ∴ Time taken by horse = distances/peed=80/20= 
80/20 = 4
4h Answer 4 h
Answer: C
Look at this series: 2, 4, 8, 16, ... What number should come next? Choose one:
A) 128	B) 64	C) 32	D) 24	E) 56

Solution: Explanation: This is a simple multiplication series; each number is multiple by 2 to the previous number. In other terms to say, the number is multiplied by 2 successively to get the next result.   1*2= 
1*2 = 2
2   2*2= 
2*2 = 4
4   4*2= 
4*2 = 8
8   8*2= 
8*2 = 16
16   16*2= 
16*2 = 32
32 and so on.   Answer: Option 32
Answer: C
A train traveling at 72 kmph crosses a platform in 30 seconds and a man standing on the platform in 20 seconds. What is the length of the platform in meters?  Choose the correct choice from the following options:
A) 200 meters
B) 360 meters
C) 420 meters
D) 600 meters
E) Cannot be determined

Solution: Speed of the train in metres/sec = 72000/3600= 
72000/3600 = 20
20   Distance travelled by train to cross the platform= 30 * 20= 
30 * 20 = 600
600= Length of train + Length of platform   Distance travelled by train to cross the man = 20 * 20= 
20 * 20 = 400
400= Length of train   Length of platform = 600 - 400= 
600 - 400 = 200
200   200 metersnswer: 200 meters
Answer: A
In an election between two candidates, one got 45% of the total valid votes, 20% of the votes were invalid. If the total number of votes was 2000, the number of valid votes that the other candidate got, was:	Choose the correct option:
A) 2200	B) 3600	C) 3270	D) 3700	E) 4000

Solution: Number of valid votes = 80% of 4000 = 3200.   Valid votes polled by other candidate = 55% of 4000   =(55/100)X8000 =2200   2200NSWER = 2200
Answer: A
What will be the difference between simple and compound interest at 10% per annum on a sum of Rs. 1000 after 4 years? Choose the correct choice from the following choices:  A) Rs. 64.12  B) Rs. 64.19  C) Rs. 14.19  D) Rs. 64.10  E) Rs. 64.99

Solution: Explanation:   S.I. = (1000 * 10 * 4)/100 = Rs. 400   C.I. = [1000 * (1 + 10/100)4 - 1000] = Rs. 464.10 Difference = (464.10 - 400) = Rs. 64.10   Answer: Rs. 64.10
Answer: D
The sum of two numbers is 22. Five times one number is equal to 6 times the other. The bigger of the two numbers is:  Choose the correct choice from the following answers.
A) 10  B) 12  C) 15  D) 16  E) 17

Solution: Explanation:   Let the numbers be x and (22 - x). Then,   5x = 6(22 - x)   11x = 132 => x = 12   So, the numbers are 12 and 10.   ANSWER IS 12
Answer: B
If f(x) = x^2/(x^5 - 1), what is f(1/x) in terms of f(x)?
Answers: A) 1/f(x) B) -f(x) C) 2/f(x) D) f(x) E) 3*f(x)

Solution: If x = 2 then f(x) = 4/31 and f(1/x) = -4/31 which is equal to -f(x)   answer -f(x)
Answer: B
In a company of total 1200 employees, 470 hold account in ICICI bank, 395 in HDFC Bank and 675 in SBI. 70 employees holds account in all the three Banks. The number of employees having account in ICICI Bank and HDFC Bank but not in SBI is equal to the number of employees having account in ICICI Bank and SBI but not in HDFC Bank, and this number is equal to 6.25% of the total number of employees. Answer the following questions based on this information.
What is the percentage of employees who have account in SBI only ?  Choose the correct answer:
A) 25%	B) 30%	C) 40%	D) 45%	E) 55%

Solution: Explanation :   Reqd % = 480/1200 x 100 = 40%   Answer : Option 40%
Answer: C