MU-NLPC/Calc-aqua_rat huggingface dataset:
Including Cara and Dan, there are seven members on the board of directors for a company. If the board is to be split up into a five-person subcommittee, what fraction of all the possible subcommittees that include Cara, also include Dan?
Pick one:
A) 3/5	B) 5/6	C) 4/5	D) 3/4	E) 2/3

Solution: The number of possible subcommittees with Cara is 6C4=15.   The number of possible subcommittees with Cara and Dan is 5C3=10.   The fraction of Cara's subcommittees which include Dan is 10/15=2/3.   The answer is 2/3.
Answer: E
A shoemaker can make 10 shoes per day. One-fifth of the shoes produced are defective and one-quarter of all shoes produced are rejected. If one-tenth of the nondefective shoes are rejected by mistake, and if all the shoes not rejected are sold, then what percent of the shoes sold are defective?  Choose the correct choice from the following answers
A) 1%	B) 2%	C) 3%	D) 4%	E) 5%

Solution: We have 20% defective and 80% non-defective; we have 25% rejected and 75% not rejected. We also know that 1/10 of the non-defective ones (8%) are rejected, so 72% sold. This means that we have 3% sold that are defective and 17% rejected that are defective. Overall, we have 3%/75% or 1 of every 25 that are sold (not rejected) and defective. Correct answer is 4%
Answer: D
There is a train and car. The ratio btw the speed of a train & a car is 16:15 respectively. Also, a bus covered a distance of 480km in 8h. The speed of the bus is 3/4th of the speed of the train. How much distance will the car cover in 6h? Choices.
A) 300 km
B) 320 km
C) 370 km
D) 430 km
E) 450 km

Solution: Sol. Speed of bus = 480/8= 
480/8 = 60
60km/ h   Speed of train= (60*4)/3= 
(60*4)/3 = 80
80 km / h   Speed of train : Speed of car= 16 : 15   Speed of car =80/16 * 15= 
80/16 * 15 = 75
75 km/ h   Distance covered by car in 6 hr= 75 × 6 = 450 km   450 km
Answer: E
Set E consists of 19 elements. The average of set E is L. If a new element is added to the set and the average grows by K, what is the value of the new element?	Choose the correct choice from the following options:
A) a) L(1 + K / 5) B) b) L * (K/100) - 20L C) c) 20L(1+K/100) D) d) 20(1+K/100)-19L E) e) L*(K/5)-19

Solution: Let's assume the value of new element to bea. So converting the word problem into equation,   (19*L + a) / (19 + 1) = L + k ==> after solving the equation we will get a (value of newly added element) = L + 20K   But according to the answer options, problem writer wanted to conveyk% percent rise in average value.   If we consider this case than resulting equation will be,   (19*L + a) / ( 19+1 ) = L + (K/100)*L ==> 19L + a = 20 [ L + KL/100]   ==> a= 20L + KL/5 -19L   ==> a= L + KL/5 , which is equivalent to option [a) L(1 + K / 5)]
Answer: A
When a certain shoe store reduces the price of its best-selling style of shoe by 10 percent, the weekly sales of this style increase by 40 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 answers:
A) Revenue decreases by 10%	B) Revenue decreases by 26%	C) There is no change in revenue	D) Revenue increases by 26%	E) Revenue increases by 10%

Solution: Old price = 10, old sales = 10 --> old revenue = 100;   New price = 9, new sales = 14 --> new revenue = 126.   Revenue increased by 26%.   Answer: Revenue increases by 26%.
Answer: D
A florist has 2 azaleas, 4 buttercups, and 6 petunias. The florist puts two flowers together at random in a bouquet. However, the customer calls and says that she does not want two of the same flower. What is the probability that the florist does not have to change the bouquet?	Choices
A) 1/2
B) 2/3
C) 7/11
D) 17/33
E) 37/66

Solution: The probability that two of the same flowers were chosen:   P(AA) = 2/12 * 1/11 = 2/132   P(2/32/3) = 4/12 * 3/11 = 12/132   P(PP) = 6/12 * 5/11 = 30/132   The sum of these probabilities is 1/3   P(two flowers are different) = 1 - 1/3 = 2/3   The answer is 2/3.
Answer: B
Ron begins reading a book at 4: 30 p.m. and reads at a steady pace of 40 pages per hour. Michelle begins reading a copy of the same book at 6: 00 p.m. If Michelle started 5 pages behind the page that Ron started on and reads at an average pace of 50 pages per hour, at what time would Ron and Michelle be reading the same page? Choose the correct choice
A) 7: 00 a.m. B) 12: 30 a.m. C) 7: 45 p.m. D) 8: 00 p.m. E) 8: 30 p.m.

Solution: M gains 50-40= 
50-40 = 10
10 pages per hour on R   at 6pm R has read 60 pages and M is  60+5= 
 60+5 = 65
65 pages behind him   time=65/10= 
65/10 = 13/2 = around 6.5
6.5 hours   they are on the same page at 12:30 a.m.   12: 30 a.m.
Answer: B
If 102y = 25, then 10-y equals ?
Pick
A) 2/5
B) 1/5
C) 3/5
D) 1/50
E) 1/25

Solution: 102y = 25   (10y)2 = 52   10y = 5   1/10y = 1/5   10-y = 1/5   Answer is 1/5.
Answer: B
A bag holds 4 red marbles and 5 green marbles. If you removed two randomly selected marbles from the bag, without replacement, what is the probability that both would be red? Choose the correct choice from the following options.
A) 1/10 B) 1/6 C) 3/10 D) 2/5 E) 1/4

Solution: probability of selecting first red marble = 4/9   probability of selecting second red marble without replacement = 3/8   final probability = 4/9 * 3/8 = 1/6   The correct answer is 1/6.
Answer: B
A merchant has selected two items to be placed on sale, one of which currently sells for 40 percent less than the other. If he wishes to raise the price of the cheaper item so that the two items are equally priced, by what percentage must he raise the price of the less expensive item?  Choices.
A) 40 %	B) 50%	C) 60%	D) 30%	E) 20%

Solution: Expensive item = $100;   Cheap item = $60;   We must increase $60 to $100, so by $40, which is approximately 60% increase: (100-60)/60 = 2/3 = ~0.66.   Answer: 60%.
Answer: C
Speed of a boat in standing water is 7kmph and speed of the stream is 1.5kmph. A man can rows to a place at a distance of 105km and comes back to the starting point. The total time taken by him is?	Choose the correct choice: A) 32.44hours B) 31.44hours C) 30.44hours D) 29.44hours E) 28.44hours

Solution: Speed upstream = 5.5kmph   Speed downstream = 8.5kmph   Total time taken = 105/5.5 + 105/8.5 = 31.44 hours   Answer is 31.44hours
Answer: B
A student gets 60% in one subject, 80% in the other. To get an overall of 75% how much should get in third subject.
Select.
A) 75%	B) 25%	C) 85%	D) 55%	E) 65%

Solution: Let the 3rd subject % = x   60+80+x = 3*75   140+x = 225   x = 225-140= 
225-140 = 85
85   Answer : 85%
Answer: C
The radius of the cylinder and cone are equal. find its volumes ratio
Choose the correct choice.
A) 1:3  B) 3:1  C) 5:1  D) 1:5  E) None of them

Solution: radius of the cylinder = radius of the cone   πr(power2)h = 1/3 πr(power2)h 1 : 1/3   3 : 1   Answer is 3:1.
Answer: B
Working alone, machine X can manufacture 1,000 nails in 20 hours. Working together, machines X and Y can manufacture 1,000 nails in 5 hours. How many hours does it take machine Y to manufacture 1,000 nails working alone?	Choose the most appropriate option: A) 3 9/17 B) 5 1/3 C) 7 D) 7 1/5 E) 6 2/3

Solution: rate of machine x = 1000/20   (1000/20 + y)5=1000   y=150   150 * t = 1000   t=6 2/3   E. 6 2/3
Answer: E
I. w-14, w, w, w, w+14
II. b, b+1, b+2, b+3, b+4
III. c, c, c, c, c
The data sets I, II, and III above are ordered from greatest standard deviation to least standard deviation in which of the following?  Choose the correct option.
A) I, II, III  B) I, III, II  C) II, III, I  D) III, I, II  E) III, II, I

Solution: S.D is a non-negative entity. Also, for a given set with all the elements same, the S.D is Zero(It is zero even if there is only one element in the set too). From the given sets, we can see that the last set has a standard deviation of zero. Also, because the other sets can not have all the terms equal for any values of w or b, thus the S.D for the third set(III) has to be the minimum. Select the option which has III in the end.   I, II, III.
Answer: A
While flying over the Pacific, an airplane makes a 25° turn to the right to avoid a storm. If, as a result, the airplane is traveling in a direction 8° east of north, in what direction was it originally flying?
Choose the correct option
A) (a) 30° west of north	B) (b) 30° east of north	C) (c) 17° west of north	D) (d) 17° east of north	E) (e) 5° west of north

Solution: If after a turn of 25° you are 8°NEast, with a 17° turn you would be perfectly pointing at north. So you were, before the turn, 17° to the other side (West).   Answer (c) 17° west of north)
Answer: C
A man can row with a speed of 15 kmph in still water. If the stream flows at 5 kmph, then the speed in downstream is?  Choose the correct choice from the following answers
A) 90 B) 30 C) 20 D) 50 E) 73

Solution: Explanation:   M = 15   S = 5   DS = 15 + 5= 
15 + 5 = 20
20   Answer:20
Answer: C
Ada and Paul received their scores on three tests. On the first test, Ada's score was 10 points higher than Paul's score. On the second test, Ada's score was 4 points higher than Paul's score. If Paul's average (arithmetic mean) score on the three tests was 4 points higher than Ada's average score on the three tests, then Paul's score on the third test was how many points higher than Ada's score?	Choices:
A) 9
B) 14
C) 17
D) 23
E) 26

Solution: My take is Option D (23)   I followed a simple approach (explained below):   Test 1: Ada's score = Paul's score + 10   Test 2: Ada's score = Paul's score + 4   Avg. of Paul's score = 4 points higher than Avg. of Ada's score   This implies that : Sum of Paul's score [3 Tests] = 12 points higher than Sum of Ada's score [3 Tests] (12 points higher since 3 points were given in terms of average of 3 scores)   So, Paul needs to score 23 points higher than Ada in Test 3, since Paul needs to compensate for the lower score in test 1 and Test 2 ( 26 = 10 + 4 + 12)   26
Answer: E
For integers x and y, if 91x = 8y, which of the following must be true?
I. The cube root of x is an integer
II. y > x
III. y/7 is an integer Choose the most appropriate option.
A) I only  B) II only  C) III only  D) I and II  E) II and III

Solution: Statement 2: y>x   When y=x=0, equation holds but y is not greater than x   When x=-8 and y=-91, equation again holds but x>y   NOT TRUE   Statement 3: y/7 is an integer   Since x and y are integers, 91x and 8y must also be integers.   It is given that 91x=8y   or 13*7*x = 8 y   or 13x = 8y/7   To balance the equation, y/7 must be an integer   TRUE   Statement 1: The cube root of x is an integer   x can be equal to 2*2*2*3 and for this value of x,y will be 13*7*3   So, x may or may not be a cube root.   NOT TRUE   Answer:-III only
Answer: C
George is 8 years more than Christopher and Ford is 2 years younger than Christopher. The sum of their ages is 60. Find the ages of George.
Choices
A) 25	B) 26	C) 27	D) 28	E) 29

Solution: Christopher age = x   George age, y = x + 8---------->(1)   Ford age, z = x - 2------------>(2)   Sum of their ages, x+y+z=60---->(3)   Substitute z and y values in equation (3)   Therefore, x+(x+8)+(x-2)=60   => 3x+8-2=60   => 3x=60-6   => 3x=54 =>x=54/3= 
54/3 = 18
18(Christopher's age)   Substitute x value in equation 1 & 2   y=x+8   y=18+8= 
18+8 = 26
26   ANSWER:26
Answer: B
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 $300. The football management has decided to change the dimensions of field by increasing the breadth by 50% of its original value and reducing the length by 25% of its original value and fence the field again.. What will be the cost of the new fencing?	Options:
A) $300  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 = 1.5 times old breadth = 1.5x   The new length is 0.75 times old length = (.75)2x = 1.5x   So the new perimeter is 1.5x + 1.5x + 1.5x + 1.5x = 6x.   The new perimeter is the same as the older perimeter! So presumably the cost is the same at $300.   $300ns - $300 1.5  + 1.5  + 1.5  + 1.5= 
 1.5  + 1.5  + 1.5  + 1.5 = 6
6x.   The new perimeter is the same as the older perimeter! So presumably the cost is the same at $300.   $300ns - $300
Answer: A
325325 is a six digit number.It is divisible by Pick.
A) 7 only
B) 11 only
C) 13 only
D) all 7,11,and 13
E) none

Solution: Solution   Clearly,325325 is divisible by all 7,11,and 13.   Answer all 7,11,and 13
Answer: D
How many seconds will a 500 m long train take to cross a man walking with a speed of 3 km/hr in the direction of the moving train if the speed of the train is 63 km/hr? Select.
A) 25  B) 30  C) 35  D) 40  E) 45

Solution: Speed of train relative to man = 63 - 3= 
63 - 3 = 60
60 km/hr.= 60 * 5/18 = 50/3 m/sec.   Time taken to pass the man = 500 * 3/50= 
500 * 3/50 = 30
30 sec.   Answer: Option 30
Answer: B
A clock shows the time as 10 a.m. If the minute hand gains 5 minutes every hour, how many minutes will the clock gain by 4 p.m.?  Choose the correct choice from the following options.
A) 30 min	B) 35 min	C) 45 min	D) 50 min	E) 55 min

Solution: there are 6 hours in between 10 a.m. to 4 p.m.   6*5= 
6*5 = 30
30 minutes.   30 minNSWER:30 min
Answer: A
person can swim in still water at 4 km/h. If the speed of water 2 km/h, how many hours will the man take to swim back against the current for 6km? Choose the correct choice.
A) 3 B) 4 C) 5 D) 6 E) 7

Solution: M = 4   S = 2   US = 4 - 2= 
4 - 2 = 2
2   D= 6   T = 6/2= 
6/2 = 3
3   3nswer: 3
Answer: A
A starts a business with Rs. 3500. After 5 months, B joins with A as his partner. After a year, the profit is divided in the ratio 2 : 3. B's contribution in the capital is Choose the correct choice:
A) 6000  B) 7000  C) 8000  D) 9000  E) 5000

Solution: Ratio in which profit is divided =2:3   Assume that B's contribution to the capital =b   3500×12:b×7=2:3   ⇒3500×12×3=2×b×7   ⇒b=(3500×12×3)/(2×7)   =500×6×3=9000   Answer is 9000.
Answer: D
A certain club has 10 members, including Parry. One of the 10 members is chosen at random to be the president, one of the remaining 9 members is to be chosen at random to be the secretary, and one of the remaining 8 members is to be chosen at random to be the treasurer. What is the probability that parry will be either the member chose to be secretary or the member chose to be treasurer?	Choose the correct choice:
A) 1/720	B) 1/80	C) 1/10	D) 1/9	E) 1/5

Solution: In order to become a secretary the person cannot be chosen as a president. This can be done in 9/10 ways. Then to become a secretary this person's probability is 1/9   Probability to become a secretary = (9/10 * 1/9) = 1/10   Similar concept for treasurer. Probability of not president = 9/10, Probability of not secretary = 8/9, probability of treasurer 1/8   probability to become a treasurer = (9/10 * 8/9 * 1/8) = 1/10   Since, the problem is saying parry secretary OR Treasurer it is addition: 1/10 + 1/10 = 1/5=1/5
Answer: E
If q and y are different prime numbers less than ten, what must be true about the sum of q and y?
Answers.
A) the sum is even  B) the sum is odd  C) the sum is less than ten  D) the sum is greater than ten  E) the sum is less than 13

Solution: This has to be solved by checking for each option:   Prime numbers less that 10 = 2, 3, 5, 7   A. the sum is even   May or may not be true. q = 3, y, = 5 -> True.   q = 2, y = 3 - True   B. the sum is odd   May or may not be true. q = 3, y, = 5 -> False.   q = 2, y = 3 - True   C. the sum is less than ten   May or may not be true q= 5, y = 7, Sum = 12   q = 2, y = 3. Sum = 5   D. the sum is greater than ten   May or may not be true q= 5, y = 7, Sum = 12   q = 2, y = 3. Sum = 5   E. the sum is less than 13   This will always be true.   Maximum sum = 7 + 5= 
7 + 5 = 12
12.   This is always less than 13.   Correct Option: the sum is less than 13
Answer: E
An exam consists of 7 true/false questions. Brian forgets to study, so he must guess blindly on each question. If any score above 70% is a passing grade, what is the probability that Brian passes?	Choose the correct choice from the following:
A) 1/16 B) 37/256 C) 1/2 D) 219/256 E) 15/16

Solution: If you have 8 T or F and Brian is going to guess then each question he has a 50% chance of getting correct.   If a passing score is 70% it means Brian needs to get 6/8=75%, 7/8=87.5%, or 8/8=100% to pass. Each is a possibility. If Brian gets a 5/8(=62.5%) or below he fails.   So first figure out the number of ways that Brian can get 6 out of 8, 7 out of 8, and 8 out of 8 questions correct.   Which is 8 choose 6, equals is 28, 8 choose 7, equals 8, and 8 choose 8, equals 1. This sums to 37.   The number of possible questions outcomes -the sum of 8 choose 8, 7 choose 8, 6 choose 8….2 choose 8, 1 choose 8, and 0 choose 8 is 256, so the chance of him passing is 219/256.   219/256
Answer: D
Statement: "You are appointed as a programmer with a probation period of 1 year and your performance will be reviewed at the end of the period for confirmation."
Assumptions:
The performance of an individual generally is not known at the time of appointment offer.
Generally an individual tries to prove his worth in the probation period.  Choose the correct choice from the following answers
A) Only assumption I is implicit B) Only assumption II is implicit C) Either I or II is implicit D) Neither I nor II is implicit E) Both I and II are implicit

Solution: The performance of the individual has to be tested over a span of time as the statement mentions. So, I is implicit. The statement mentions that the individual's worth shall be reviewed (during probation period) before confirmation. So, II is also implicit.   Both I and II are implicit
Answer: E
a sales person was starting a business and giving everyone that worked there a salary of 50000 for the first 6 years and giving them 65000 after 12 years. what would the interest rate for each year?
Answers:
A) 7%	B) 10%	C) 15%	D) 25%	E) 20%

Solution: for 6 years = (65000 - 50000 )= 
(65000 - 50000 ) = 15_000
15000.   for 12 years= (15000x6)/6= 15000   Principal = (50000 - 15000)= 
(50000 - 15000) = 35_000
35000.   Hence, rate= (100 x 15000)/(35000x6) = 7% 7%NSWER: 7%
Answer: A
If 25% of x is 15 less than 15% of 1500, then x is?	Choose one:
A) 188 B) 216 C) 156 D) 840 E) 121

Solution: 25% of x = x/4 ; 15% of 1500 = 15/100 * 1500= 
15/100 * 1500 = 225
225   Given that, x/4= 225 - 15 => x/4 = 210 => x = 840.   Answer: 840
Answer: D
Find the average of first 15 natural numbers. Choose one: A) 10 B) 120 C) 15 D) 8 E) 16

Solution: Explanation:   Sum of first n natural numbers = n(n+1)/2   Hence, sum of first 15 natural numbers = (15 x 16)/2 = 120   Therefore, required average of = 120/15= 
120/15 = 8
8   ANSWER: 8
Answer: D
What is |-26|?
Choose one:
A) (a) -26 B) (b) 26 C) (c) 0 D) (d) 1 E) (e) 25

Solution: |-26|   = 26.   the answer is ((b) 26)
Answer: B
A sum of money is borrowed and paid back in two annual installments of Rs. 882 each allowing 5% C.I. The sum borrowed was?	Choose the correct answer.
A) Rs. 1620	B) Rs. 1640	C) Rs. 1680	D) Rs. 1700	E) Rs. 1800

Solution: Principal = (P.W. of Rs. 882 due 1 year hence) + (P.W. of Rs. 882 due 2 years hence)   = [882/(1 + 5/100) + 882/(1 + 5/100)2]   = (882 * 20)/21 + (882 * 400)/441 = Rs. 1640.   ANSWER:Rs. 1640
Answer: B
In a division sum, the remainder is 0. As student mistook the divisor by 12 instead of 21 and obtained 35 as quotient. What is the correct quotient ? Choose the correct choice from the following options
A) 19
B) 20
C) 21
D) 23
E) 25

Solution: Number = (12 x 35)   Correct Quotient = 420 ÷ 21 = 20   20)
Answer: B
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Matt and Peter can do together a piece of work in 20 days. After they have worked together for 12 days Matt stops and Peter completes the remaining work in 16 days. In how many days Peter complete the work separately.  Choose the correct choice from the following answers:	A) 26 days	B) 27 days	C) 23 days	D) 35 days	E) 40 days

Solution: Together they complete the job in 20 days means they complete 12/20 of the job after 12 days.   Peter completes the remaining (8/20) of the job in 16 days which means that the whole job(1) can be completed in X days.   <=> 8/20->16 <=> X=16/(8/20)= 
16/(8/20) = 40
40 Thus the answer is 40 days.
Answer: E
Anita, Indu and Geeta can do a piece of work in 18 days, 27 days and 36 days respectively. They start working together. After working for 4 days. Anita goes away and Indu leaves 7 days before the work is finished. Only Geeta remains at work from beginning to end. In how many days was the whole work done?  Choices:  A) 13 days  B) 16 days  C) 18 days  D) 11 days  E) 12 days

Solution: 16 days   16 days   4/18 + (x -7)/27 + x/36 = 1   x = 16 days
Answer: B
The sale price sarees listed for Rs.560 after successive discount is 20% and 30% is? Choose the correct choice from the following choices:
A) 321
B) 314
C) 316
D) 265
E) 162

Solution: Explanation:   560*(80/100)*(70/100) = 314   Answer: 314
Answer: B
For a positive integer n, define S(n) to be the sum of the positive divisors of n. Which of the
following is the smallest?
Choose the correct choice from the following options: A) S(2010) B) S(2011) C) S(2012) D) S(2013) E) S(2014)

Solution: 2011 is prime, so that S(2011) = 1 + 2011= 
1 + 2011 = 2_012
2012, the smallest.   But this answer can be verified without checking that 2011 is prime. Observe that   S(2010) > 2010 + 1005 > 3000   S(2013) > 2013 + 671 > 2600   and S(2012) and S(2014) are also larger than 3000.   Check by hand that 2, 3, 5, 7, and 11 do not divide 2011, and so if 2011 is not prime, then it   is a product of two primes p and q. If p 6= q, then   S(2011) = 2011 +   2011/p   +   2011/q   + 1;   and p and q are greater than 11, so that this is smaller than 2600. If p = q then this is smaller   still.   correct answer S(2011)
Answer: B
If the cost price of 15 articles is same as the selling price of 25 articles. Find the gain or loss percentage? Answers.
A) 30% Gain
B) 30% Loss
C) 40% Gain
D) 40% Loss
E) 50% Loss

Solution: Explanation:   15 cp = 25 sp   Cost price CP = 25   Selling price SP = 15   Formula = (SP-CP)/CP * 100 = (15 - 25)/25 * 100 = 40 % Loss   Answer: Option 40% Loss
Answer: D
What is the sum of the multiples of 4 between 63 and 151 inclusive?  Choose the correct option.
A) 2240 B) 2250 C) 2310 D) 2330 E) 2332

Solution: the fastest way in an AP is to find the average and multiply with total integers..   between 63 and 151, the smallest multiple of 4 is 64 and largest =148..   average=(64+148)/2=106..   total numbers = (148-64)/4 + 1= 21+1=22..   sum=22*106= 
22*106 = 2_332
2332   ans 2332
Answer: E
If a sum of money at simple interest doubles in 6 years, it will become 4 times in Choose the correct choice.
A) 15years B) 16years C) 11years D) 18years E) 12years

Solution: Explanation:   let sum =x . s.i.=x   rate =(100*x)/(x*6)=50/3%   now ,sum =x, s.i= 3x, rate =50/3%   time =(100*3x)/(x*50/3) = 18 years   Answer: 18years
Answer: D
A photograph measuring 8.5 by 7.5 cm is to be enlarged. If the enlargement of the longer side is 13.6 cm, what is the length of the smaller side?
Choose the correct choice
A) 10 B) 11 C) 12 D) 13 E) 14

Solution: Sol.   = (13.6 ÷ 8.5) × 7.5   = 12 cm.   Answer : 12
Answer: C
In how many ways the letters of the word RAIMBON be arranged?	Options: A) 4678 B) 8754 C) 5040 D) 8658 E) 8754

Solution: Total ways of arranging the letters = 7! = 5040 ways.   5040)
Answer: C
How many bricks, each measuring 25 cm x 11.25 cm x 6 cm, will be needed to build a wall of 8 m x 6.6 m x 22.5 cm? Choose the correct answer:
A) 6400
B) 6410
C) 6440
D) 6500
E) 7040

Solution: Number of bricks = Volume of Wall/Volume of Bricks   =800x660x22.5/25x11.25x6= = 7040   answer :7040
Answer: E
Two cylinders of the radius in the ratio 3 : 5 and heights in the ratio 10 : 9. Then find the volumes ratio?	Answers:
A) 4:5 B) 1:5 C) 3:5 D) 1.5:5 E) 2:5

Solution: πR(power2)H : πr(power2)h   9 × 10 : 25 × 9   90 : 225   2 : 5   Answer is 2:5.
Answer: E