MU-NLPC/Calc-aqua_rat huggingface dataset:
If n is the product of three consecutive integers, and n is divisible by 6, which of the following is not necessarily a divisor of n ?	Select the correct option
A) 242
B) 4
C) 6.8
D) 5
E) 0.

Solution: IF ONE NO. IS 6 THEN OTHER CONSEQUTIVE NO. AR0. 4*5*6 =120 , 5*6*7=210 , 6*7*8 =336   NO NUMB0.R WILL NO B0. DIVISOR OF N   0.
Answer: E
An industrial loom weaves 0.128 metres of cloth every second. Approximately, how many seconds will it take for the loom to weave 27 metre of cloth ?
Choose the correct choice from the following answers:
A) 211 seconds  B) 195 seconds  C) 155 seconds  D) 115 seconds  E) 115 seconds

Solution: Explanation:   Let the time required by x seconds.   Then, More cloth means More time (Direct Proportion)   So,   0.128 : 1 :: 27 : x => x = {\color{Blue} \frac{27\times 1}{0.128}}   => x = 210.94   So time will be approx 211 seconds   211 secondsnswer: 211 seconds
Answer: A
For a race a distance of 224 meters can be covered by P in 28 seconds and Q in 56 seconds. By what distance does P defeat Q eventually?	Choose the correct choice from the following answers.
A) 232m B) 224m C) 244m D) 231m E) 236m

Solution: Explanation:   This is a simple speed time problem. Given conditions:   =>Speed of P= 224/28= 
224/28 = 8
8m/s=>Speed of Q=224/56= 
224/56 = 4
4m/s=>Difference in time taken = 28 seconds   Therefore, Distance covered by P in that time= 8m/s x 28 seconds = 224 metres   ANSWER: 224m
Answer: B
The area of a rectangle is 460 square metres. If the length is 15% more than the breadth, what is the breadth of the rectangular field ?
Select the correct option:
A) 18 meter
B) 20 meter
C) 22 meter
D) 25 meter
E) None of these

Solution: Explanation:   Let breadth =x metres.   Then length =(115x/100)metres.   =x∗115x/100=460   x2=(460x100/115)   x2=400x=20   Option 20 meter
Answer: B
A palindrome is a number that reads the same forward and backward, such as 242. How many even three-digit numbers are palindromes?  Choose the correct choice
A) 80 B) 40 C) 500 D) 5,000 E) 100,000

Solution: 3rd digit 2,4,6 ,8   2nd digit 0 through 9   i.e 10*4 = 40 numbers   first digit is going to be same as 3rd digit. so it would still be 40 numbers.   Answer is 40.
Answer: B
If a and b are prime numbers, which of the following CANNOT be the value of ab? Choose the most appropriate option:
A) 9
B) 14
C) 21
D) 23
E) 25

Solution: 23 is a prime number itself and so cannot be multiple of two prime numbers..   ANSWER:23
Answer: D
If f(x) = x^4/(x^5 - 1), what is f(1/x) in terms of f(x)?
Pick one
A) f(x) B) 2*f(x) C) 1/f(x) D) -f(x) E) 2/f(x)

Solution: If x = 2 then f(x) = 16/31 and f(1/x) = -16/31 which is equal to -f(x)   answer -f(x)
Answer: D
In how many different number of ways 2 boys and 2 girls can sit on a bench? Select the correct option:	A) 70	B) 10	C) 24	D) 26	E) 82

Solution: npn = n!   4p4 = 4 × 3 × 2 × 1 = 24   24)
Answer: C
If the cost price of 20 articles is equal to the selling price of 15 articles, what is the % profit or loss made by the merchant?	Choose the most appropriate option.
A) 25% loss	B) 33.33% profit	C) 20% loss	D) 20% profit	E) 5% profit

Solution: Let the cost price of 1 article be $1.   Therefore, cost price of 20 articles = 20 * 1= 
20 * 1 = 20
$20   The selling price of 15 articles= cost price of 20 articles = $15.   Now, we know the selling price of 15 articles. Let us find the cost price of 15 articles.   Cost price of 15 articles = 15 * 1= 
15 * 1 = 15
$15.   Therefore, profit made on sale of 15 articles= Selling price of 15 articles - cost price of 15 articles   = 20 - 15= 
20 - 15 = 5
$5.   As the profit is in the positive, the merchant has made a profit of $5.   Therefore, % loss= loss/cp * 100   % loss = 5/15 * 100 = 33.33% profit.   33.33% profit
Answer: B
In a local school district, the high school and middle school each received r dollars toward funding for the student arts program. The high school enrolled 500 students and the middle school enrolled 250 students. Later, the middle school transferred s dollars to the high school so that they would have received the same funding per student. Which of the following is equivalent to s? Choose the correct choice from the following answers.
A) r/8 B) r/7 C) r/2 D) r/9 E) r/3

Solution: Total per head = 2r/750   After s transfer both schools have total for head.   So at High School it will be:   r+s = (500)* (2r/750) = 20r/15=4r/3   i.e. s = 4r/3 - r/1 =4r-3r/3=r/3   Answer :r/3
Answer: E
It has been raining at the rate of 5 centimeters per hour. If the rain filled a cylindrical drum with a depth of 15 centimeters, and area 300 square centimeters, how long did it take to fill the drum completely?	Choices:
A) 3 hours B) 4 hours 15 minutes C) 6 hours D) 2 hours 5 minutes E) 8 hours

Solution: Answer is : A, 3 hours   The volume of the drum is irrelevant and only height matters since rain fell all over the city.   Thus, it takes only 15 / 5= 
15 / 5 = 3
3 hours of rain to fill the drum
Answer: A
Find the odd man out. 5, 6, 14, 45, 185, 925, 5556 Select.
A) 5556
B) 925
C) 185
D) 6
E) 14

Solution: Explanation :   5 × 1 + 1 = 6   6 × 2 + 2 = 14   14 × 3 + 3 = 45   45 × 4 + 4 = 184   184 × 5 + 5 = 925   925 × 6 + 6 = 5556   Hence, it is clear that 184 should have come instead of 185   Answer : Option 185
Answer: C
A woman bought a car at 10% bag on its original price. He sold it at a 60% increase on the price he bought it. What percent of profit did she make on the original price?	Answers:	A) 40%	B) 42%	C) 44%	D) 46%	E) 48%

Solution: Original price = 100   44%P = 90   S = 90*(160/100)= 
90*(160/100) = 144
144   100 - 144= 44%   Answer: 44%
Answer: C
Working together, printer A and printer B would finish the task in 24 minutes. Printer A alone would finish the task in 60 minutes. How many pages does the task contain if printer B prints 7 pages a minute more than printer A ?	Pick one
A) 600  B) 840  C) 1000  D) 1200  E) 1500

Solution: Answer: 840.
Answer: B
How many words can be formed from the letters of the word ‘EXTRA’ so that the vowels are never together?  Choose the most appropriate option.
A) 48	B) 120	C) 72	D) 110	E) 116

Solution: The given word contains 5 different letters.   Taking the vowels EA together, we treat them as one letter.   Then, the letters to be arranged are XTR (EA).   These letters can be arranged in 4! = 24 ways.   The vowels EA may be arranged among themselves in 2! = 2 ways.   Number of words, each having vowels together = (24x2) = 48 ways.   Total number of words formed by using all the letters of the given words = 5! = (5x4x3x2x1) = 120.   Number of words, each having vowels never together = (120-48)= 
(120-48) = 72
72.   Answer 72.
Answer: C
A train speeds past a pole in 15 seconds and a platform 100 m long in 25 seconds. Its length is:  Choose the correct choice: A) 145 B) 146 C) 147 D) 150 E) 152

Solution: Let the length of the train be x meters and its speed be y m/sec.   They, x / y = 15 => y = x/15   x + 100 / 25 = x / 15   x = 150 m.   Answer: Option 150
Answer: D
10, 25, 45, 54, 60, 75, 80
Pick:	A) 10	B) 45	C) 54	D) 75	E) 80

Solution: Each of the numbers except 54 is multiple of 5.   Answer: Option 54
Answer: C
A number is doubled and 9 is added. If the resultant is trebled, it becomes 57. What is that number?  Options:
A) 5	B) 6	C) 8	D) 7	E) 4

Solution: Let the number be x. Then,   3(2x + 9) = 57   2x = 10 => x = 5   5NSWER:5
Answer: A
What is the least common multiple of 6, 18, and 24?	Choose the correct choice from the following:
A) 72
B) 120
C) 240
D) 360
E) 720

Solution: Let us first write the numbers in the form of prime factors:   6 = 2*3   18 = 2*3^2   24 = 2^3*3   The LCM would be the largest powers of the prime numbers from all these three numbers.   Hence LCM = 72   Option 72
Answer: A
Total number of boys and girls in a school is 150. If the number of boys is x, then girls become x% of the total number of students. The number of boys is  Choose the correct choice from the following answers:
A) 50	B) 60	C) 70	D) 80	E) 90

Solution: Explanation:   Clearly,   x% of 150 = 150 - x [as x is number of boys]   =>x+x/100∗150=150=>5/2x=150=>x=60   Option 60
Answer: B
Bill has a small deck of 12 playing cards made up of only 2 suits of 6 cards each. Each of the 6 cards within a suit has a different value from 1 to 6; thus, for each value from 1 to 6, there are two cards in the deck with that value. Bill likes to play a game in which he shuffles the deck, turns over 4 cards, and looks for pairs of cards that have the same value. What is the chance that Bill finds at least one pair of cards that have the same value?  Select the correct option: A) 8/33 B) 62/165 C) 17/33 D) 103/165 E) 25/33

Solution: total no of ways of choosing any 4 cards out of 12 = 12 C 4   =45*11   the no favourable outcomes, i.e atleast 1 pair , = no of pairs i.e 6 *{ ( no of ways of choosing the remaining 2 cards, i.e. 10 C 2 - the no of repetitions (i.e.5)} + the no ways of getting 2 pairs .i.e. 15   = 6( 10 17/332 -5)+15   = 6(40)+15   = 3*85   therefor probability = (3*85 )/ (45*11)   = 17/33   Answer:17/33
Answer: C
The average of 6 no.'s is 3.95. The average of 2of them is 4, while the average of theother 2 is 3.85. What is the average of the remaining 2 no's?  Choose the correct choice from the following:
A) 4.2 B) 4.4 C) 4.6 D) 5.6 E) 4

Solution: Sum of the remaining two numbers = (3.95 * 6) - [(4 * 2) + (3.85 * 2)]   = 8   Required average = (8 / 2)= 
(8 / 2) = 4
4   4
Answer: E
Last year, for every 100 million vehicles that traveled on a certain highway, 50 vehicles were involved in accidents. If 5 billion vehicles traveled on the highway last year, how many of those vehicles were involved in accidents? (1 billion = 1,000,000,000)
Choose the correct choice from the following answers:  A) 800  B) 850  C) 900  D) 500  E) 1000

Solution: To solve we will set up a proportion. We know that “100 million vehicles is to 50 accidents as 5 billion vehicles is to x accidents”. To express everything in terms of “millions”, we can use 5,000 million rather than 5 billion. Creating a proportion we have:   100/50 = 5,000/x   Cross multiplying gives us:   100x = 2,000 * 50   x = 20 * 50= 
20 * 50 = 1_000
1000   Answer : 1000
Answer: E
How many words can be formed by using all letters of the word ‘DAUGHTER’ so that the vowels always come together?
Select the correct option.
A) 1214  B) 4320  C) 1254  D) 3265  E) 4512

Solution: Given word contains 8 different letters. When the vowels AUE are always together, we may suppose them to form an entity, treated as one letter.   Then, the letters to be arranged are DGNTR (AUE).   Then 6 letters to be arranged in 6p6 = 6! = 720 ways.   The vowels in the group (AUE) may be arranged in 3! = 6 ways.   Required number of words = (720x6) = 4320.   Ans: 4320
Answer: B
What is the probability of getting a sum 9 from two throws of a dice?  Choose the most appropriate option:
A) 1/6
B) 1/8
C) 1/9
D) 1/12
E) 1/14

Solution: Explanation:   In two throws of a dice, n(S) = (6 x 6) = 36.   Let E = event of getting a sum ={(3, 6), (4, 5), (5, 4), (6, 3)}.   P(E) =	n(E)	/ n(S) =4/36=1/9.   ANSWER IS 1/9
Answer: C
A word is defined as a sequence of three dots arranged in a row. Each dot is colored either red, yellow, or blue. How many distinct words can be formed?  Options:  A) 9  B) 18  C) 24  D) 27  E) 36

Solution: 3^3 = 27   The answer is 27.
Answer: D
A person buys an article at Rs.500. At what price should he sell the article so as to make a profit of 30%?
Choose the correct choice from the following options
A) 600
B) 887
C) 256
D) 650
E) 712

Solution: Cost price = Rs.500   profit = 30% of 500 = Rs.150   Selling price = Cost price + Profit   = 500 + 150= 
500 + 150 = 650
650   Answer: 650
Answer: D
A train running at the speed of 180 km/hr crosses a pole in 8 seconds. Find the length of the train. Choose one
A) 150  B) 88  C) 480  D) 288  E) 400

Solution: Speed = 180*(5/18) m/sec = 50 m/sec   Length of Train (Distance) = Speed * Time     50 *8= 
  50 *8 = 400
400 meter   Answer: 400
Answer: E
In the first 10 overs of a cricket game, the run rate was only 3.2. What should be the run rate in the remaining 40 overs to reach a target of 282 runs ? Pick:	A) 6.25	B) 6.5	C) 6.75	D) 7.0	E) None of the above

Solution: Total runs in the first 10 overs   = 10 × 3.2 = 32   Run rate required in the remaining 40 overs   = 282−32/40=250/40= 
250/40 = 25/4 = around 6.25
6.25 runs per over.   6.25nswer 6.25
Answer: A
The speed of a car is 100 km in the first hour and 80 km in the second hour. What is the average speed of the car?	Choices
A) 50 kmph B) 65 kmph C) 90 kmph D) 85 kmph E) 90 kmph

Solution: Explanation:   S = (100 + 80)/2= 
(100 + 80)/2 = 90
90 kmph   90 kmph)
Answer: C
In a class, the average age of 30 boys is 13 years and the average of 20 girls is 12 years. what is the average age of the whole class? Choices
A) 12.6 Years  B) 12 Years  C) 12.3 Years  D) 13 Years  E) 14 Years

Solution: Total age of 50 students   (30X 13+20 X 12) = 630   12.6 Yearsverage = 630/50= 
630/50 = 63/5 = around 12.6
12.6 Years   12.6 Years
Answer: A
Mohan purchased 10 kgs of rice at the rate of Rs.26 per kg and 10 kgs of pulses at the rate of Rs.26 per kg. Whaat is the total amount that he paid to the shopkeeper?
Select: A) A)Rs.520 B) B)Rs.594 C) C)Rs.596 D) D)Rs.595 E) None of these

Solution: Explanation:   Price of 10 kgs of rice at Rs.26/kg = 10x26 = Rs.260   Price of 8 kgs of pulses at Rs.26/kg = 10x26 = Rs.260   Therefore, Total amount = Rs.260+Rs.260 = Rs.520.   Rs.520nswer: Option Rs.520
Answer: A
A tradesman by means of his false balance defrauds to the extent of 20%? in buying goods as well as by selling the goods. What percent does he gain on his outlay?  Choose the correct choice from the following
A) 74%	B) 94%	C) 44%	D) 24%	E) 74%

Solution: g% = 20 + 20 + (20*20)/100= 
20 + 20 + (20*20)/100 = 44
44%   Answer:44%
Answer: C
The sum of two numbers is 15 and their geometric mean is
20% lower than their arithmetic mean. Find the numbers?  Choose the correct choice from the following answers:  A) 12,3  B) 15,3  C) 11,2  D) 11,3  E) 10,2

Solution: Sum of the two numbers is a+b=15.   their A.M = a+b / 2 and G.M = (ab)1/2   Given G.M = 20% lower than A.M   =80/100 A.M   ANSWER : A 12,3   (ab)^1/2=4/5 a+b/2 =2*15/5= 
2*15/5 = 6
6 (ab)^1/2= 6   ab=36 =>b=36/a   a+b=15   a+36/a=15   a2+36=15a   a2-15a+36=0   a2-3a-12a+36=0   a(a-3)-12(a-3)=0   a=12 or 3.   If a=3 and a+b=15 then b=12.   If a=12 and a+b=15 then b=3.
Answer: A
You leave your house at 7 AM and your drive 60 miles per hour. Your wife was taking her time. So she leaves the house at 9 AM. However, she is now speeding at 90 miles per hour.
How long will it take your wife to catch up with you assuming that the police does not stop her?
Select.
A) 360 miles B) 460 miles C) 560 miles D) 660 miles E) 760 miles

Solution: let t be the time it takes you to get to your destination.   t-2 is then the time it will take your wife. The reason we subtract 2 is because compared to you, your wife is late by 2 hours   Since the distance you travel is the same as the distance your wife travels, we get:   60 × t = 90 × (t - 2)   60t = 90t - 180   60t + 180 = 90t   180 = 90t - 60t   180 = 30t   Since 30 times 6 = 180, t = 6   This means that your wife will catch up with you in 6 hours   d = 60 × 6 = 360   d = 90 × (6-2) = 90 × 4 = 360   Therefore, your wife will catch up with you 360 miles away   360 milesnswer 360 miles
Answer: A
Last year, sales at Company Zora were 10% greater in February than in January, 10% less in March than in Feb, 30% greater in April than in March, 10% less in May than in April, and 10% greater in June than in May. In which month were sales closest to Jan?	Select:  A) Feb  B) April  C) May  D) March  E) June

Solution: Jan = $100   10% greater in February than in January ---> Feb = $110   10% less in March than in Feb ---> Mar = $99   30% greater in April than in March ---> Apr = $128.70   10% less in May than in April ---> May $115.83   10% greater in June than in May --->Jun = $127.41   Answer : March
Answer: D
When a number is divided by 6 &then multiply by 12 the answer is 9 what is the no.?	Choose one:
A) 4.5  B) 4.8  C) 5.7  D) 6.9  E) 7

Solution: if $x$ is the number, x/6 * 12 = 9   => 2x = 9   => x = 4.5   4.5
Answer: A
Ben lost a 100 m race to Miles by a mere 0.10 m. If Ben gave Miles a 4 m head start at the beginning of the race, how many meters more will it take before Ben overtakes miles? Choices
A) 2.55m B) 3.55m C) 1.55m D) 4.55m E) 0.55m

Solution: Distance Ben ran before completion of race---100 m-0.10m=99.9m   Distance gained on Miles over 99.9m---4m-0.10m=3.90   then Ben gains 99.35/3.90m = 1m on Kelly every 25.5 meters.   Therefore 25.5 divided by one-tenth a meter ( i.e the 0.10 m Ben was defeated with)   ANSWER: A. 2.55m
Answer: A
If a certain sample of data has a mean of 22.0 and a standard deviation of 3.0, which of the following values is more than 2.5 standard deviations from the mean? Choose one
A) 12.0
B) 14.0
C) 17.0
D) 23.5
E) 26.5

Solution: Value ismore than 2.5SDfrom the mean means that the distance between the mean and the value must be more than 2.5*SD=7.5. So the value must be either less than 22-7.5= 
22-7.5 = 14.5
14.5or more than 22+7.5=29.5.   Answer:14.0.
Answer: B
There are three prizes to be distributed among six students. If no students gets more than one prize, then this can be done in?	Choose one:
A) 10
B) 45
C) 5
D) 20
E) None of these

Solution: Explanation :   3 prize among 6 students can be distributed in 6C3 ways = 20 ways.   Answer : 20
Answer: D
The positive two-digit integers k and m have the same digits, but in reverse order. Which of the following must be a factor of k + m?	Choices:
A) 6 B) 9 C) 77 D) 12 E) 14

Solution: Remember: When you take the difference between the two, it will always be 9. e.g 23-32=9, 89-98=9   and when you add both integers, the sum will always be a multiple of 11 e.g 23+32=55, 89+98= 187   77 is multiple of 11   Answer : 77
Answer: C
What will be the cost of building a fence around a square plot with area equal to 289 sq ft, if the price per foot of building the fence is Rs. 58?
Choose the correct choice from the following options:	A) 3944	B) 3828	C) 4176	D) 5020	E) 5000

Solution: Let the side of the square plot be a ft.   a2 = 289 => a = 17   Length of the fence = Perimeter of the plot = 4a = 68 ft.   Cost of building the fence = 68 * 58 = Rs. 3944.   3944NSWER 3944
Answer: A
If a*b denotes the greatest common divisor of a and b, then ((12*16)*(30*24)) = ? Answers:
A) 24
B) 12
C) 6
D) 4
E) 2

Solution: The greatest common divisor of 12 and 16 is 4. Hence 12*16 = 4 (note that * here denotes the function not multiplication).   The greatest common divisor of 30 and 24 is 6. Hence 30*24 = 6.   Hence ((12*16)*(30*24)) = 4*6.   The greatest common divisor of 4 and 6 is 2.   Answer; 2.
Answer: E
If the cost price is 95% of selling price then what is the profit percentage. Pick:
A) 5.26  B) 5.16  C) 5.61  D) 5.52  E) 5

Solution: selling price=Rs100 : then cost price=Rs 95:profit =Rs 5.   Profit={(5/95)*100}%=5.26%   5.26nswer is 5.26.
Answer: A
The average of 6 no.'s is 3.95. The average of 2of them is 3.4, while the average of theother 2 is 3.85. What is the average of the remaining 2 no's? Choose the correct choice from the following options: A) 3.5 B) 4.0 C) 4.2 D) 4.9 E) 4.6

Solution: Sum of the remaining two numbers = (3.95 * 6) - [(3.4 * 2) + (3.85 * 2)]   = 23.70 - (6.8 + 7.7) = 23.70 - 14.5 = 9.20.   Required average = (9.2 / 2) = 4.6.   4.6
Answer: E
A and B are two circles. The radius of A is thrice as large as the radius of B. What is the ratio between the areas of the circles?  Pick one:
A) 1:8.	B) 1:2.	C) 1:4.	D) 1:9	E) 1:6.

Solution: Given : The radius of A is thrice as large as the radius of B. => R(a) = 3*R(b). The radius are in ratio of 1:3 thus the area will be in the ratio of square of radius. 1:9. Hence 1:9.
Answer: D
Two goods trains each 680 m long are running in opposite directions on parallel tracks. Their speeds are 45 km/hr and 30 km/hr respectively. Find the time taken by the slower train to pass the driver of the faster one?
Choose the correct choice from the following choices.
A) 228 B) 65.28 C) 48.32 D) 27 E) 21.1

Solution: Relative speed = 45 + 30= 
45 + 30 = 75
75 km/hr.   75 * 5/18= 125/6 m/sec.   Distance covered = 680 + 680= 
680 + 680 = 1_360
1360 m.   Required time= 1360 * 6/125= 
1360 * 6/125 = 1_632/25 = around 65.28
65.28 sec.   Answer:65.28
Answer: B
Look at this series: 5.3, 4.8, 4.3, 3.8, ... What number should come next?	Choose one
A) 3.7 B) 3.5 C) 3.6 D) 3.4 E) 3.3

Solution: 3.3   3.3   In this simple subtraction series, each number decreases by 0.5.
Answer: E
How many positive integers less than 100 are neither multiples of 4 or 5.  Choose the correct choice from the following answers:
A) a)30	B) b)60	C) c)32	D) d)33	E) e)34

Solution: To answer this Q we require to know   1) multiples of 4 till 100 = 100/4= 
100/4 = 25
25   2) Multiples of 5 till 100= 100/5= 
100/5 = 20
20   add the two 25+20= 
25+20 = 45
45 ; subtract common terms that are multiple of both 4 and 5..   LCM of 4 and 5= 20   Multiples of 20 till 100 = 100/20= 
100/20 = 5
5=   so total multiples of 4 and 5 = 45-5= 
45-5 = 40
40   ans= 100-40= 
100-40 = 60
60   b)60
Answer: B
A certain clock marks every hour by striking a number of times equal to the hour, and the time require for a stroke is exactly equal to the time interval between strokes. At 6:00 the time lapse between the beginning of the first stoke and the end of the last stroke is 22 seconds. At 8:00, how many seconds elapse between the beginning of the first stroke and the end of the last stroke?  Select the correct option.
A) 26  B) 30  C) 36  D) 38  E) 40

Solution: at 6'o clock, there would be 6 strikes. First strike, then a short interval, the second strike, then a short interval and so on till the 6th strike. So there would be in all 5 intervals between 6 strikes. Similarly, between 8 strikes, there would be 7 intervals.   According to the question, the time spent in the strike and the interval is same.   At 6'o clock, the 6 strikes and the 5 intervals together take 22 sec so each strike and each interval takes 2 secs.   At 8'o clock, the 8 strikes and 7 intervals will take 2*(8+7)= 
2*(8+7) = 30
30 secs   30
Answer: B
A cicketer Has a certain average for 10 innings, In the eleventh inning, he scorod 88 runs, thereby increasing his average by 6 runs. His new average is	Choose the correct choice from the following answers:
A) 18 runs B) 28 runs C) 48 runs D) 42 runs E) 46 runs

Solution: Explanation:   Let average for 10 innings be x. Then,   (10x + 88)/11 = x + 6 => 11x + 66 = 10x + 88 => x = 22.   New average = (x + 6) = 28 runs.   Answer: 28 runs
Answer: B
252 can be expressed as a product of primes as:	Pick one
A) 2 x 2 x 3 x 3 x 7  B) 2 x 2 x 2 x 3 x 7  C) 3 x 3 x 3 x 3 x 7  D) 2 x 3 x 3 x 3 x 7  E) 7 x 3 x 3 x 3 x 7

Solution: 252 = 2 x 2 x 3 x 3 x 7.   answer :2 x 2 x 3 x 3 x 7
Answer: A
If a randomly selected positive single digit multiple of 3 is multiplied by a randomly selected prime number less than 20, what is the probability that this product will be a multiple of 45?
Choose the correct choice from the following answers:
A) 1/32	B) 1/28	C) 1/24	D) 1/16	E) 1/14

Solution: There are 3 single digit multiple of 3, that is, 3,6,9.   There are 8 prime nos less than 20 - 2,3,5,7,11,13,17,19   Total outcome - 8*3 = 24   Favourable outcome = 1 (9*5)   Hence required probability = 1/24. Answer 1/24.
Answer: C
How many minutes does it take John to type y words if he types at the rate of t words per minute?  Choose one
A) x/y	B) y/t	C) xy	D) 60x/y	E) y/(60x)

Solution: time*rate=job --> time*t=y --> time=y/t.   Answer: y/t.
Answer: B
The greatest number of four digits which is divisible by 10, 20, 40 and 60 is:	Select:	A) 9200	B) 9300	C) 9400	D) 9600	E) 9700

Solution: Greatest number of 4-digits is 9999.   L.C.M. of 10, 20, 40 and 60 is 600.   On dividing 9999 by 600, the remainder is 399.   Required number  (9999 - 399)= 
 (9999 - 399) = 9_600
9600.   ANSWER :9600
Answer: D