MU-NLPC/Calc-aqua_rat huggingface dataset:
At Joel’s bookstore, the current inventory is 30% historical fiction. Of the historical fiction books, 40% are new releases, while 50% of the other books are new releases. What fraction of all new releases are the historical fiction new releases?	Pick: A) 4/25 B) 12/47 C) 2/5 D) 8/15 E) 2/3

Solution: let there be 100 books in all   Historic fiction books = 30% of total = 30   Other books = 70   New historic fiction = 40% of 30 = 12   Other new books = 50% of 70 = 35   total new books = 35+12= 
35+12 = 47
47   fraction= 12/47   Ans: 12/47
Answer: B
In a group of Houses,40 had dogs,30 had cats and 10 houses having both dogs and cats. what is the number of houses?
Choose the correct choice from the following choices
A) 30 B) 60 C) 40 D) 45 E) 50

Solution: Make a Venn diagram, and enter your data.   Let the number of houses be x   30+10+20=x   x = 60   so number of houses were = 60   Answer 60
Answer: B
A transport company's vans each carry a maximum load of 13 tonnes. 12 sealed boxes each weighing 9 tonnes have to be transported to a factory. The number of van loads needed to do this is Choose the correct choice from the following answers.
A) 38	B) 12	C) 98	D) 27	E) 22

Solution: Explanation:   12 as all boxes are sealed.   Answer: 12
Answer: B
Look at this series: 88, 88, 78, 78, 68, 68, ... What number should come next?	Choose the correct choice from the following answers:
A) 14 B) 15 C) 58 D) 19 E) 11

Solution: In this series, each number is repeated, then 10 is subtracted to arrive at the next number.   The next number is 58   Answer : 58
Answer: C
There are 13 South American countries, Anni has won a ticket to fly from Denver to one South American country and then directly to another South American Country before returning home to Denver again. Assuming there are four airports in each country, how many flights paths can Anni choose from?	Choose the correct choice from the following options
A) 13.12.11.10.4.4.	B) 13.12.11.10.4	C) 13.12.4.4.	D) 13.12.4	E) 13.13.13.13

Solution: flights paths can Anni choose fromThere are 13 ways to chose the first destination,   then, 12 ways to chose next destination, with option of 4 airports (13x4)   then, to return he has 4 options to chose the airports   Thus, 13*12*4*4 ways.   Using permutations:   If the solution had written 13P1 instead of 13C1 it won't matter. As per the definition - making arrangements of the combinations gives permutations.   Since there are no arrangement for 1 item, permutationscombinations are equal.13.12.4.4.
Answer: C
Bucket A is 1/4 full of sand, and Bucket B, which has one-half the capacity of Bucket A, is 3/8 full of sand. Jana pours the contents of Bucket B into Bucket A. Bucket A is now filled to what fraction of its capacity?
Choices: A) 3/8 B) 7/16 C) 1/2 D) 5/8 E) 7/8

Solution: let capapcity of a = x   sand = x/4   capacity of b = x/2   sand = 3x/16   A total = x/4 + 3x/16 = 7x/16   ANSWER:7/16
Answer: B
A box contains nine bulbs out of which 4 are defective. If four bulbs are chosen at random, find the probability that atleast one bulb is good.	Pick one:
A) 125/176	B) 125/129	C) 125/126	D) 125/120	E) 125/130

Solution: Required probability   = 1 - 1/126   = 125/126   Answer:125/126
Answer: C
Varma can read a book in k minutes. What part of the book can he read in 8 minutes?(k>8)  Choose the correct choice: A) 6/k B) 8/k C) 83k D) 2/k E) 1/k

Solution: Part of the book he can read in 1 minute = 1/k   Part of the book he can read in 8 minutes =8/k.   Answer: 8/k
Answer: B
A began business with Rs.27000 and was joined afterwards by B with Rs.36000. When did B join if the profits at the end of the year were divided in the ratio of 2:1? Select the correct option:  A) 1.5  B) 6.5  C) 7.5  D) 8  E) 2

Solution: 27*12 : 36*x = 2: 1   x = 4.5   12 -4.5= 
12 -4.5 = 7.5
7.5   Answer: 7.5
Answer: C
Helen went to the stationers and bought things worth Euro 24, out of which 30 paise went on sales tax on taxable purchases. If the tax rate was 6%, then what was the cost of the tax free items?
Choose the correct choice from the following:
A) uro 16.70 B) uro 15.70 C) uro 13.70 D) uro 19.70 E) uro 18.70

Solution: E   Euro 18.70   Let the amount taxable purchases be Euro x.   Then, 6% of x = 30/100   x = (30/100 x 100/6) = 5.   Cost of tax free items = uro 18.70uro [  24 - (5 + 0.30)= 
  24 - (5 + 0.30) = 18.7
uro 18.70uro 18.70
Answer: E
If a Ã— b = 2a - 3b + ab, then 3 Ã— 4 + 4 Ã— 3 is equal to :	Choose the correct choice from the following options
A) 17  B) 23  C) 24  D) 25  E) 26

Solution: Explanation:   3 Ã— 4 + 4 Ã— 3 = (2 Ã— 3 - 3 Ã— 4 + 3 Ã— 4) + ( 2 Ã— 4 - 3 Ã— 3 + 4 Ã— 3)   = (6 + 8 - 9 + 12)= 
(6 + 8 - 9 + 12) = 17
17.   17nswer: 17
Answer: A
A train crosses a platform of 150 m in 15 sec, same train crosses another platform of length 250 m in 20 sec. then find the length of the train?
Pick:  A) 150m  B) 278m  C) 286m  D) 121m  E) 112m

Solution: Length of the train be ‘X’   X + 150/15 = X + 250/20   4X + 600 = 3X + 750   X = 150m   150mnswer: 150m
Answer: A
John wrote a phone number on a note that was later lost. John can remember that the number had 7 digits, the digit 1 appeared in the last three places and 0 did not appear at all. What is the probability that the phone number contains at least two prime digits?
Choices
A) 15/16	B) 11/16	C) 11/12	D) 1/2	E) 5/8

Solution: XXXX(1}{1}{1}   X can be a prime number or non prime number   Prime number:2,3,5,7   Non prime-4,6,8,9(1 is already taken)   Probability(X is a Prime number)=4/8=1/2   Probability(X is a non-prime number)=4/8=1/2   So,Atleast 2 prime numbers=P P NP NP=4!/2!2!*1/2*1/2*1/2*1/2=6/16   Three prime numbers and one Non prime=P P P NP=4!/3!*1//2^4=4/16   All prime=PPPP=1/16   Total=11/16.   Answer:11/16
Answer: B
Which of the following could be the value of x, if |4x – 2| = 10?	Select:	A) -3	B) -2	C) 1	D) 2	E) 4

Solution: |4x – 2| = 10   => 4x - 2 = 10   or 4x - 2 = -10   => 4x = 12 or 4x = -8   => x = 3 or x = -2   Answer -2
Answer: B
A boat having a length 6 m and breadth 3 m is floating on a lake. The boat sinks by 1 cm when a man gets on it. The mass of the man is:  Pick:
A) 100 kg
B) 120 kg
C) 89 Kg
D) 180 Kg
E) 110 Kg

Solution: Volume of water displaced	= (6 x 3 x 0.01) m3   = 0.18 m3.   Mass of man = Volume of water displaced x Density of water   = (0.18 x 1000) kg   = 180 kg.   Answer: 180 Kg
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 answers:
A) 30 min	B) 20 min	C) 25 min	D) 40 min	E) 45 min

Solution: Speed Ratio = 1:4/5 = 5:4Time Ratio = 4:51 -------- 5 4 --------- ? 20   ANSWER 20 min
Answer: B
A watch was sold at a loss of 10%. If it was sold for Rs.140 more, there would have been a gain of 4%. What is the cost price?  Choose the correct option
A) 1000 B) 3329 C) 2776 D) 2988 E) 1681

Solution: 90%   104%   --------   14% ---- 140   100% ---- ? => Rs.1000   1000nswer: 1000
Answer: A
Twelve years ago, P was half of Q in age. If the ratio of their present ages is 3:4, what will be the total of their present ages Choose the correct choice from the following:
A) A)35	B) B)34	C) C)42	D) D)25	E) E)26

Solution: Explanation:   Let the present age of P and Q be 3x and 4x respectively.   Twelve years ago, P was half of Q in age   => 2(3x – 12) = (4x – 12)   => 6x – 24 = 4x – 12   => 2x = 12   => x = 6   7x = 7*6= 
7*6 = 42
42   Answer: Option 42
Answer: C
The average of five consecutive odd numbers A, B, C, D and E is 25. What percent of E is C ?
Choices
A) 86.2 B) 87.5 C) 56.8 D) 88.9 E) 89.9

Solution: Explanation :   In such a case the middle number (C) is the average   ∴ C = 25 and F = 29   Required percentage = 25/29 x 100 = 86.2   86.2nswer : Option 86.2
Answer: A
The ratio 3 : 5 expressed as a percent equals
Select the correct option
A) 60%	B) 40%	C) 80%	D) 125%	E) None

Solution: Solution   3 : 5	= 3/ 5   = (3 / 5 x 100)%.   = 60 %.   60%nswer 60%
Answer: A
10 books are placed at random in a shelf. The probability that a pair of books will always be together is -
Pick one.
A) 1/10  B) 9/10  C) 1/5  D) 3/10  E) 1/2

Solution: Explanation:   10 books can be rearranged in 10! ways consider the two books taken as a pair then number of favourable ways of getting these two books together is 9! 2!   Required probability = 1/5   ANSWER IS 1/5
Answer: C
Two trains start at same time from two stations and proceed towards each other at the rate of 20 km/hr and 25 km/hr respectively. When they meet, it is found that one train has traveled 50 km more than the other. What is the distance between the two stations? Pick:
A) 540 km	B) 767 km	C) 276 km	D) 450 km	E) 176 km

Solution: Explanation:   Let us assume that trains meet after 'x' hours   Distance = speed * Time   Distance traveled by two trains = 20x km and 25x km resp.   As one train travels 50 km more than the other,   25x â€“ 20x =50   5x = 50   x = 10 hours   As the two trains are moving towards each other, relative speed = 20 + 25= 
20 + 25 = 45
45 km/hr   Therefore, total distance= 45*10= 
45*10 = 450
450 km.   ANSWER: 450 km
Answer: D
If Josh, Doug, and Brad have a total of $77 between them, and Josh has three times as much money as Brad but same as much as Doug, how much money does Doug have?	Choose one:
A) $8	B) $9	C) $27	D) $33	E) $36

Solution: Josh + Doug + Brad = 77 ; Joush = 3 brad, Josh = Doug   Josh +1/3 Josh+ Josh = 77 (substituted the given values)   Josh = 33. 33=$33oug =33   Answer is $33.
Answer: D
A man is 24 years older than his son. In two years, his age will be twice the age of his son. The present age of the son is
Pick.
A) 14 years	B) 18 years	C) 20 years	D) 22 years	E) None

Solution: Solution   Let the son's present age be x years .Then, man's present age	= (x+24)years.   Then	‹=›(x+24)+2= 2(x+2)   ‹=›x+26=2x+4   x= 22.   Answer 22 years
Answer: D
David invested certain amount in three different schemes. A, B and C with the rate of interest 10% p.a., 12% p.a. and 15% p.a. respectively. If the total interest accrued in one year was Rs. 3200 and the amount invested in scheme C was 150% of the amount invested in scheme A and 240% of the amount invested in scheme B, what was the amount invested in scheme B?
Answers:  A) 5000  B) 3677  C) 2977  D) 2678  E) 2611

Solution: Let x, y and z be the amount invested in schemes A, B and C respectively. Then,   (x * 10 * 1)/100 + (y * 12 * 1)/100 + (z * 15 * 1)/100 = 3200   10x + 12y + 15z = 320000   Now, z = 240% of y = 12/5 y   And, z = 150% of x = 3/2 x   x = 2/3 z = ( 2/3 * 12/5) y = 8/5 y   16y + 12y + 36y = 320000   y = 5000   Sum invested in scheme B = Rs. 5000.   5000nswer: 5000
Answer: A
The perimeter of a square is 48 cm. The area of a rectangle is 4 cm2 less than the area of the square. If the length of the rectangle is 14 cm, then its perimeter is  Select
A) 42	B) 48	C) 52	D) 56	E) 58

Solution: Side of the square = 12 cm. Area of the rectangle = [(12 x 12) Ã¢â‚¬â€œ 4]   cm2 = 140 cm2   Now, area = 140 cmÂ², length = 14 cm.   Breadth = A/L = 140/14 cm. = 10 cm.   Hence, Perimeter = 2 (l + b) = 2 (14 + 10) cm = 48 cm.   Answer :48
Answer: B
The LCM and HCF of two numbers are 8 and 48 respectively. If one of them is 24, Find the other ?	Choose the correct choice from the following choices: A) 12 B) 14 C) 15 D) 16 E) 20

Solution: HCF x LCM = Product of Numbers   8 x 48 = 24 x the other number   other number = (8 x 48) / 24   other number = 16   ANSWER : 16
Answer: D
In March, Kurt ran an average of 1.5 miles an hour. If by June he had increased his pace by 20 seconds per mile, then which of the following expresses the number of hours it would take Kurt to complete one mile in June?
Answers:	A) 2380/60^2	B) 2410/60^2	C) 2390/60^2	D) 3586/60	E) 60^2/3590

Solution: Kurt ran at an average of 1.5 miles/hour in march. So to run 1 mile he would take 1/1.5 hours = (60 * 60)/1.5= 
(60 * 60)/1.5 = 2_400
2400 seconds.   If he increases his speed by 20 seconds, he will complete a mile in 2380 seconds. Converting in hours= 2380/(60 * 60) = 2380/(60^2)   2380/60^2NSWER: 2380/60^2
Answer: A
111 = O
222 = E
333 = T
444 = S
Reading and analyzing the above, can you find out the following ?
555 = ?  Choices.
A) 8
B) 3
C) 1
D) 5
E) 0

Solution: E   0   1 * 1 * 1 = One   2 * 2 * 2 = Eight   3 * 3 * 3 = Twenty seven   4 * 4 * 4 = Sixty Four   For all the above, you can see that the first letter of the sum is the code.   Thus 5 * 5 * 5 = One twenty five   Thus 555 = O.
Answer: E
8 people decided to split the restaurant bill evenly. If the bill was $214.15 dollars, how much money did they 1 cent is the smallest unit?
Options:
A) $214.16
B) $214.17
C) $214.18
D) $214.19
E) $214.20

Solution: If the last three digits of a whole number are divisible by 8, then the entire number is divisible by 8   the last 3 digit 415 not divisible by a   Hence, we need to add 1 to this number for it to be divisible by 8   Correct Option: $214.16
Answer: A
In how many ways a committee, Consisting of 2 men and 6 women can be formed from 8 men and 10 women? Choose the most appropriate option
A) 2660	B) 5880	C) 11760	D) 5040	E) 720

Solution: To choose Required number of ways to form a committee:   Select 2 men out of 8 men and 6 women out of 10 women.   That is 8C2 * 10C6.   8C2=8!/2!*6!=28   10C6=10!/6!*4!   =210   The Required number of ways=210*28= 
210*28 = 5_880
5880   5880
Answer: B
what is the least number. which should be added to 0.0320 to make it a perfect square?	Choose the correct choice from the following choices.
A) 0.0005  B) 0.0004  C) 0.0006  D) 0.0002  E) 0.0001

Solution: 0.0320+0.0004= 
0.0320+0.0004 = 0.0324
0.0324   (0.18)^2   ANSWER:0.0004
Answer: B
If 16% of 40% of a number is 3, then the number is
Choose the correct choice from the following
A) 200
B) 225
C) 46.875
D) 320
E) None of these

Solution: Explanation:   Let 16/100×40/100×a=3   a = 3×100×100/16×40=46.875   46.875orrect Option: 46.875
Answer: C
If a > 0 and b < 0, which of the following are true?
I. a/b < 0
II. b/a < 0
III. a + b < 0  Choose the correct choice from the following answers:
A) I only  B) II only  C) III only  D) I and II only  E) I, II, and III

Solution: I. True, a is positive and b is negative so a/b must be negative   II. True, a is positive and b is negative so b/a must be negative   III. Not true, example: a = 5, b = -3, so a + b = 2   I and II only
Answer: D
A, B and C enter into a partnership. They invest Rs. 40,000, Rs. 80,000 and Rs. 1,20,000 respectively. At the end of the first year, B withdraws Rs. 40,000, while at the end of the second year, C withdraws Rs. 80,000. In what ratio will the profit be shared at the end of 3 years?  Choose the most appropriate option:
A) 2 : 3 : 4  B) 3 : 2 : 4  C) 3: 2 : 1  D) 3: 4 : 7  E) none

Solution: Sol.   A : B : C = (40000 * 36) : (80000 * 12 + 40000 * 24)   : (120000 * 24 + 40000 * 12) =144 : 192 : 336 = 3: 4 : 7   Answer 3: 4 : 7
Answer: D
In the seventh grade at Parkway elementary school there are 450 students. 310 students are boys and 250 students are playing soccer. 86% of the students that play soccer are boys. How many girl student are in Parkway that is not playing soccer?
Select the correct option:  A) 69.  B) 73.  C) 81.  D) 91.  E) 105.

Solution: Total students = 450   Boys = 310, Girls = 140   Total playing soccer = 250   86%of 250 = 215 are boys who play soccer.   Girls who play soccer = 35.   Total girls who do not play soccer = 140- 35= 
140- 35 = 105
105.   Correct option: 105.
Answer: E
The area of sector of a circle whose radius is 12 metre and whose angle at the center is 42° is? Choose the correct choice from the following answers:
A) 52.7 m2	B) 57.8 m2	C) 52.8 metre sq	D) 72.8 m2	E) 52.8 m2

Solution: 42/360 * 22/7 * 12 * 12= 
42/360 * 22/7 * 12 * 12 = 264/5 = around 52.8
52.8 m2   Answer: 52.8 metre sq
Answer: C
Train A left Centerville Station, heading toward Dale City Station, at 3: 00 p.m. Train B left Dale City Station, heading toward Centerville Station, at 5: 20 p.m. on the same day. The trains rode on straight tracks that were parallel to each other. If Train A traveled at a constant speed of 30 miles per hour and Train B traveled at a constant speed of 10 miles per hour, and the distance between the Centerville Station and Dale City Station is 90 miles, when did the trains pass each other?  Choose the correct choice:
A) 4: 45 p.m.
B) 5: 00 p.m.
C) 5: 20 p.m.
D) 5: 35 p.m.
E) 7: 20 p.m.

Solution: the distance travelled by the train A in first 20 minutes will be 10.   The distance which will be remaining is 80.   Now both trains are running in opposite direction.Their speed will be added so 40.   Time at which they will meet =80/40= 
80/40 = 2
2   time of train B will be 5:20 +2=7:20   Hence answer is 7: 20 p.m..Hope i am correct
Answer: E
The average of 1st 3 of 4 numbers is 6 and of the last 3 are 5. If the sum of the first and the last number is 11. What is the last numbers?	Choose the correct answer:  A) 4  B) 5  C) 6  D) 7  E) 8

Solution: 4 + B + C = 18   B + C + D = 15   4 + D = 11   4 – D = 3   4 + D = 11   2D = 8   D = 4   4NSWER:4
Answer: A
In a box of 12 pens, a total of 4 are defective. If a customer buys 2 pens selected at random from the box, what is the probability that neither pen will be defective?
Choose the correct choice: A) 1/6 B) 2/33 C) 14/33 D) 9/16 E) 3/44

Solution: Method- 1   There are 9 fine pieces of pen and 4 defective in a lot of 12 pens   i.e. Probability of first pen NOT being defective = (8/12)   i.e. Probability of Second pen NOT being defective = (7/11) [11 pen remaining with 8 defective remaining considering that first was defective]   Probability of Both pen being NON-defective = (8/12)*(7/11) = 14/33   Answer: option 14/33
Answer: C
Insert the missing number
1, 8, 27, 64, 125, 216, (....)	Pick.
A) 554 B) 343 C) 354 D) 392 E) 245

Solution: Series is 1^3,2^3,3^3,4^3,5^3,6^3,7^3   7^3=343   ANSWER:343
Answer: B
If Rahul rows 15 km upstream in 3 hours and 21 km downstream in 3 hours, then the speed of the
stream is  Select the correct option.
A) 5 km/hr B) 4 km/hr C) 2 km/hr D) 1 km/hr E) None of these

Solution: Explanation:   Rate upstream = (15/3) kmph   Rate downstream (21/3)= 
(21/3) = 7
7 kmph.   Speed of stream (1/2)(7 - 5)kmph= 1 kmph   Answer: 1 km/hr
Answer: D
Which of following is a leap year ? Choose the most appropriate option
A) 2000
B) 2800
C) 1800
D) 2600
E) 3000

Solution: The century year which is completely divisible by 400, is a leap year. Thus, the year 2800 is a leap year.   Answer : 2800
Answer: B
if Juan takes 12 seconds to run y yards, how many seconds will it take him to run x yards at the same rate? Choose the correct choice:
A) 11x/y B) 11y/x C) x/11y D) 12x/y E) xy/11

Solution: Answer is D   The rate of running hards: 12 minutes per y hards.   Thus the time for running x hards = x hards * 12 minutes/y hards = 12x/y
Answer: D
If QR = 3(Q+ 1) + R and Q and R are integers,Q could be any of the following values EXCEPT:  Choose the correct choice from the following options:	A) 2	B) 3	C) 12	D) 4	E) 7

Solution: QR = 3(Q + 1) + R   QR - R = 3(Q + 1)   R = 3(Q + 1)/(Q-1)   R won't be an integer only if Q = 12 (from the options).   Answer: 12
Answer: C
Present ages of X and Y are in the ratio 5:6 respectively. Seven years hence this ratio will become 6:7 respectively. What is X's present age in years?  Choose the correct choice from the following options
A) 35 years  B) 17 years  C) 77 years  D) 88 years  E) 16 years

Solution: Let the present ages of X and Y be 5x and 6x years respectively.   Then, (5x + 7)/(6x + 7) = 6/7   7(5x + 7) = 6(6x + 7) => x = 7   X's present age = 5x = 35 years.   35 yearsnswer:35 years
Answer: A
If 10 and 15 are the lengths of two sides of a triangular region, which of the following can be the length of the third side?
I. 5
II. 15
III. 20	Choose the correct choice from the following options.
A) I only  B) II only  C) I and II only  D) II and III only  E) I, II, and III

Solution: The length of any side of a triangle must be larger than the positive difference of the other two sides, but smaller than the sum of the other two sides.   Let x be the length of the third side.   15-10 < x < 15+10   5 < x < 25   The answer is II and III only.
Answer: D
The probability that a visitor at the mall buys a pack of candy is 30%. If three visitors come to the mall today, what is the probability that exactly two will buy a pack of candy? Choose the correct choice from the following answers
A) 343 B) 147 C) 189 D) 063 E) 027

Solution: •P(Buy) = 3/10, P(No Buy) = 7/10   •2 Yes, 1 No = 3/10*3/10*7/10 = 63/1000   •3 Possibilities = YYN + YNY + NYY = 3(63/1000) = 189/1000= 
189/1000 = 189/1_000 = around 0.189
.189%   Answer is 189.
Answer: C
Jane bought some pairs of pants on sale for 15% off the original price and received an additional 20% discount for buying three pairs. If one of the pairs of pants cost $10 after both discounts, what was the original price of that pair?	Choices.
A) $32.26	B) $20.25	C) $20	D) $14.71	E) $10.35

Solution: Let f be the original price. Then the first discounted price, g, is given byg = f - 15%fand the second discounted price, h, is given byh = g - 20%gWith h = $10, solve for f$10 = (f - 15%f) - 20%(f - 15%f)f = $14.71Correct answer is $14.71
Answer: D
Ram sold two bicycles, each for Rs.990. If he made 10% profit on the first and 10% loss on the second, what is the total cost of both bicycles?
Choose the correct option.
A) Rs.2000
B) Rs.2028
C) Rs.2020
D) Rs.2720
E) Rs.2026

Solution: (10*10)/100= 
(10*10)/100 = 1
1%loss   100 --- 99   ? --- 1980=> Rs.2000   Rs.2000nswer:Rs.2000
Answer: A
In an engineering class that contained 75 students, the final exam consisted of 2 questions. Three fifths of the students answered the first question correctly. If four fifths of the remainder answered the second question correctly, how many students answered both questions incorrectly?
Choose the correct choice from the following answers: A) 4 B) 6 C) 10 D) 12 E) 24

Solution: 1st Question : Three fifths of the students answered the first question correctly - so 3/5âˆ—75=45   2nd Question : four fifths of the remainder answered the second question correctly so 4/5âˆ—(75âˆ’45)=4/5âˆ—30=24   total students who answered at least one Q correct =45+24= 
45+24 = 69
69   so students who answered 6OTH incorrectly= 75âˆ’69=6   ANSWER:6
Answer: B
What is the total number of prime numbers less than 70?
Choose the most appropriate option:
A) 17  B) 18  C) 19  D) 20  E) 21

Solution: Solution   Prime numbers less than 70 are	=12.   2,3,5,7,11,13,17,19,23,29,31,37,41,43,47,53,59,61,and 67   Their number is 19.   Answer 19
Answer: C
What amount does Kiran get if he invests Rs.5600 at 9% p.a. compound interest for two years, compounding done annually?	Choose the correct choice from the following answers
A) 6653 B) 6500 C) 6400 D) 5678 E) 6886

Solution: 6653= P{1 + R/100}n   => 5600{1 + 9/100}2   = Rs.6653   6653nswer: 6653
Answer: A
A boat can move upstream at 20 kmph and downstream at 35 kmph, then the speed of the current is?  Choose the correct choice from the following answers:
A) 5 kmph
B) 7.5 kmph
C) 8 kmph
D) 9 kmph
E) 4 kmph

Solution: US = 20   DS = 35   M = (35 - 20)/2= 
(35 - 20)/2 = 15/2 = around 7.5
7.5   Answer:7.5 kmph
Answer: B
How many times in a day, are the hands of a clock in straight line but opposite in direction?
Select:
A) 20 B) 22 C) 24 D) 48 E) 36

Solution: The hands of a clock point in opposite directions (in the same straight line) 11 times in every 12 hours. (Because between 5 and 7 they point in opposite directions at 6 o'clcok only).   So, in a day, the hands point in the opposite directions 22 times. Answer: Option 22
Answer: B