MU-NLPC/Calc-aqua_rat huggingface dataset:
A sum of money doubles itself in 7 years. In how many years it becomes four fold?
Choose the correct choice from the following choices:
A) 35 years  B) 28 years  C) 14 years  D) 21 years  E) None of these

Solution: Double in seven years.   So 4 times will be in = 7 × (4 − 1) = 21 years.   Answer:21 years.
Answer: D
A car drove from Town A to Town B without stopping. The car traveled the first 50 miles of its journey at an average speed of 25 miles per hour. What was the car’s average speed, in miles per hour, for the remaining 110 miles if the car’s average speed for the entire trip was 40 miles per hour?
Select
A) 28	B) 48	C) 50	D) 55	E) 70

Solution: KAPLANOFFICIAL SOLUTION:   To solve this problem, you must remember that average speed means total distance divided by total time over an entire journey. This should not be confused with the average of the speeds. The total distance in this problem is 160 miles, but we will need to express the total time in a more complex way.   For the first 50 miles, the car traveled at 25 miles per hour. Therefore, we can say that the time this took was 50/25, because distance divided by rate equals time.   For the last 110 miles, we are trying to solve for the rate, so we can call this speed R. Thus, the time for the final 110 miles is 110/R.   If we put all of this together, knowing that the average speed over the entire journey is 40 miles per hour, we get the equation 160/(50/25 + 110/R) = 40. We can now solve for R and reach our answer.   160/(50/25 + 110/R) = 40   R = 55   55 is choice (55) and that’s our correct answer.
Answer: D
A train sets off at 2 p.m. at the speed of 70 kmph. Another train starts at 2:30 p.m. in the same direction at the rate of 85 kmph. At what time the trains will meet?	Select the correct option: A) 10.18 p.m B) 10.29 p.m C) 10.30 p.m D) 10.38 p.m E) 9.30 p.m

Solution: D = 70 * 1 ½ = 105 km   RS = 85 – 70 = 15   T = 105/15= 
105/15 = 7
7 h     2.30 + 7= 
  2.30 + 7 = 9.3
9.30 p.m.   Answer:9.30 p.m
Answer: E
For each 6-month period during a light bulb's life span, the odds of it not burning out from over-use are half what they were in the previous 6-month period. If the odds of a light bulb burning out during the first 6-month period following its purchase are 1/8, what are the odds of it burning out during the period from 6months to 1 year following its purchase?
Choose the correct choice from the following choices
A) 5/27	B) 2/9	C) 1/2	D) 4/9	E) 2/3

Solution: P(of not burning out in a six mnth period)=1/2 of P(of not burning out in prev 6 mnth period)   P(of burning out in 1st 6 mnth)= 1/8   --->P( of not burning out in 1st 6 mnth)=1-1/8=7/8   ---->P(of not burning out in a six mnth period)=1/2 *7/8=4/9   --->P(of burning out in a six mnth period)=1-4/9=4/7   now   P( of burning out in 2nd six mnth period)=P( of not burning out in 1st six mnth)*P(of burning out in a six mnth)   =7/8 *4/7 =1/2   Ans 1/2
Answer: C
A person can row at 10 kmph in still water. If the velocity of the current is 2 kmph and it takes him 20 hour to row to a place and come back, how far is the place?  Select the correct option:
A) 24km
B) 30km
C) 96km
D) 12km
E) 15km

Solution: Speed of down stream = 10+2= 
10+2 = 12
12kmph   speed of upstream= 10-2= 
10-2 = 8
8kmph   Let the required distance be xkm   x/12 + x/8= 20   2x+3x = 480   x = 96 km   Answer is 96km
Answer: C
A, B and C have Rs.500 between them, A and C together have Rs.200 and B and C Rs.350. How much does C have?
Pick:
A) 50 B) 99 C) 88 D) 77 E) 52

Solution: 50+B+C = 500   50+C = 200   B+C = 350   --------------   50+B+2C = 550   50+B+C = 500   ----------------   C = 50   50nswer: 50
Answer: A
A man buys a cycle for Rs. 1400 and sells it at a loss of 15%. What is the selling price of the cycle?
Select.
A) Rs. 1090 B) Rs. 1160 C) Rs. 1190 D) Rs. 1202 E) Rs. 1256

Solution: S.P. = 85% of Rs. 1400 = Rs.85/100x 1400	= Rs. 1190   ANSWER :Rs. 1190
Answer: C
A train running at the speed of 60 km/hr crosses a pole in 9 sec. What is the length of the train?
Select
A) 100  B) 110  C) 120  D) 130  E) 150

Solution: Speed = 60 * 5/18 = 50/3 m/sec   Length of the train = speed * time = 50/3 * 9= 
50/3 * 9 = 150
150 m   Answer: Option 150
Answer: E
A person walking at 4 Kmph reaches his office 8 minutes late. If he walks at 6 Kmph, he reaches there 10 minutes earlier. How far is the office from his house?	Choose the correct option:	A) 4 1/5 Km	B) 4 1/7 Km	C) 3 3/5 Km	D) 3 1/7 Km	E) 3 2/5 Km

Solution: Formula = S1*S2/S2-S1 * T1+T2/60   = 4*6/2 * 18/6   = 24/2 * 18/60   = 9 * 2/5   = 18/5 = 3 3/5 Km   3 3/5 Km)
Answer: C
Two brothers take the same route to school on their bicycles, one gets to school in 25 minutes and the second one gets to school in 36 minutes. The ratio of their speeds is
Pick: A) 4 : 5 B) 1 : 2 C) 6 : 7 D) 5 : 6 E) None

Solution: Solution   Let us name the brothers   as A and B.	= (A'S speed) : (B's speed)   =âˆšb : âˆša   = âˆš25 : âˆš36   = 5 : 6   Answer 5 : 6
Answer: D
A number whose fifth part increased by 5 is equal to its fourth part diminished by 5, is  Choose one:  A) 160  B) 180  C) 200  D) 220  E) None of these

Solution: x/5 + 5 = x/4 - 5   => x/5 - x/4 = 10   x/20 = 10   => x = 200   Answer: 200.
Answer: C
In how many different ways can the letters of the word 'RUMOUR' be arranged? Choose the most appropriate option:
A) 180  B) 90  C) 30  D) 720  E) 60

Solution: The word 'RUMOUR' contains 6 letters, namely 2R, 2U, 1M and 1U.   Required number of ways =6!/(2!)(2!)(1!)(1!)=180.   180nswer is 180
Answer: A
Find the number of ways of arranging the letters of the word "MATERIAL" such that all the vowels in the word are to come together? Options
A) 1840 ways	B) 1440 ways	C) 1490 ways	D) 1447 ways	E) 1240 ways

Solution: In the word, "MATERIAL" there are three vowels A, I, E.   If all the vowels are together, the arrangement is MTRL'AAEI'.   Consider AAEI as one unit. The arrangement is as follows.   M T R L A A E I   The above 5 items can be arranged in 5! ways and AAEI can be arranged among themselves in 4!/2! ways.   Number of required ways of arranging the above letters = 5! * 4!/2!   = (120 * 24)/2= 
(120 * 24)/2 = 1_440
1440 ways.   Answer: 1440 ways
Answer: B
A train is 460 meter long is running at a speed of 45 km/hour. In what time will it pass a bridge of 140 meter length?	Select.
A) 76 seconds  B) 18 seconds  C) 40 seconds  D) 48 seconds  E) 45 seconds

Solution: Speed = 45 Km/hr = 45*(5/18) m/sec = 25/2 m/sec   Total distance = 460+140= 
460+140 = 600
600 meter   Time= 48 secondsistance/speed   = 600 * (2/25)= 
600 * (2/25) = 48
48 seconds   Answer: 48 seconds
Answer: D
Find the distance covered by a man walking for 30min at a speed of 5km/hr?	Choose the correct choice from the following options.
A) 1km
B) 3km
C) 4km
D) 2.5 km
E) 6km

Solution: 2.5 kmistance = 5*30/60= 
5*30/60 = 5/2 = around 2.5
2.5 km   Answer is 2.5 km
Answer: D
90% of the population of a village is 45000. The total population of the village is? Choose the correct answer:
A) 26799	B) 24000	C) 50000	D) 29973	E) 12312

Solution: X * (90/100) = 45000   X = 500 * 100= 
500 * 100 = 50_000
50000   Answer: 50000
Answer: C
A and B start a business with Rs.6000 and Rs.8000 respectively. Hoe should they share their profits at the end of one year?  Pick.
A) 3:8	B) 3:4	C) 3:0	D) 3:2	E) 3:5

Solution: They should share the profits in the ratio of their investments.   The ratio of the investments made by A and 3:4   =6000 : 8000 => 3:4   Answer: 3:4
Answer: B
Find out the wrong number in the given sequence of numbers.
1, 2, 6, 15, 31, 56, 94 Choose the correct option.
A) 2  B) 6  C) 15  D) 31  E) 94

Solution: 1(result) + (1*1) = 2.   2(result) + (2*2) = 6.   6(result) + (3*3) = 15.   15(result) + (4*4) = 31.   31(result) + (5*5) = 56.   56(result) + (6*6) = 92.   Now we are getting 92 not 94.. So 94 is the wrong number of the given.   answer : 94
Answer: E
If f(x2 – 1) = x4 – 7x2 + k1 and f(x3 – 2) = x6 – 9x3 + k2 then the value of (k2 – k1) is _____ Choose one.
A) 6  B) 7  C) 8  D) 9  E) None of the above

Solution: Explanatory Answer   Given Data   f(x2 – 1) = x4 – 7x2 + k1   f(x3 – 2) = x6 – 9x3 + k2   Approach and Solution   When x2 = 1, f(x2 – 1) = f(1 - 1) = f(0) =(1)2 - 7(1) + k1   f(0) = - 6 + k1 ..........(1)   Essentially, we have replaced all x2 with 1.   When x3 = 2,f(x3 – 2) = f(2 - 2) = f(0) =(2)2 - 9(2) + k2   f(0) = - 14 + k2 ..........(2)   Essentially, we have replaced all x3 with 2.   Equating f(0) in equations (1) and (2)   (-6 + k1) = (-14 + k2)   or k2 - k1 = 8   The correct answer is 8hoice 8.
Answer: C
There are 9 books on a shelf that consist of 2 paperback books and 7 hardback books. If 4 books are selected at random without replacement, how many different combinations are there which include at least one paperback book?
Answers:  A) 85  B) 91  C) 97  D) 103  E) 110

Solution: The total number of ways to select 4 books is 9C4 = 126   The number of ways which do not include any paperbacks is 7C4 = 35   The number of combinations with at least one paperback is  126-35= 
 126-35 = 91
91   The answer is 91.
Answer: B
The probability is 1/2 that a certain coin turns up heads on any given toss. If the coin is tossed three times, what is the probability that the coin turns up tails on at least one of the tosses?  Select the correct option:
A) 7/8	B) 5/8	C) 3/8	D) 3/4	E) 7/16

Solution: P(3 heads)= 1/2*1/2*1/2=1/8.   P(at least one tail)=1-1/8=7/8.   The answer is 7/8.
Answer: A
Look at this series: 3, 4, 7, 8, 11, 12, ... What number should come next? Choose one:	A) 11	B) 14	C) 15	D) 17	E) 19

Solution: 15   15   This alternating addition series begins with 3; then 1 is added to give 4; then 3 is added to give 7; then 1 is added, and so on.
Answer: C
If y > 0, (10y)/20 + (3y)/10 is what percent of y? Options
A) 40% B) 50% C) 60% D) 70% E) 80%

Solution: can be reduced to y/2+3y/10 =4y/5=80%   80%
Answer: E
The average weight of 16 pupils in a class is 50.25 kg and that of the remaining 8 pupils is 45.15 kg. Find the average weights of all the pupils in the class.  Choose the correct choice from the following choices
A) A)48.55	B) B)49	C) C)51	D) D)61	E) E)62

Solution: Required average   = (50.25 x 16 + 45.15 x 8)/(16 + 8)   = (804 + 361.20)/24   = 1165.20/24= 
1165.20/24 = 48.55
48.55kg   48.55nswer is 48.55
Answer: A
The speed of a boat in still water is 60kmph and the speed of the current is 10kmph. Find the speed downstream and upstream?
Choices
A) 40, 68 kmph
B) 70, 50 kmph
C) 90, 60 kmph
D) 40, 60 kmph
E) 20, 60 kmph

Solution: Speed downstream = 60 + 10= 
60 + 10 = 70
70 kmph   Speed upstream= 60 - 10= 
60 - 10 = 50
50 kmph   Answer: 70, 50 kmph
Answer: B
The total of the ages of Amar, Akbar and Anthony is 80 years. What was the total of their ages three years ago ? Choose the correct choice from the following
A) 71 years B) 72 years C) 74 years D) 77 years E) 75 years

Solution: Explanation:   Required sum = (80 - 3 x 3) years = (80 - 9)= 
(80 - 9) = 71
71 years.   71 yearsnswer IS 71 years
Answer: A
From a pack of 52 cards, 1 card is drawn at random. Find the probability of a face card drawn.	Choose the correct choice from the following answers:	A) 4/13	B) 1/52	C) 1/4	D) 1/3	E) None of above

Solution: Explanation:   Total number of cases = 52   Total face cards = 16 [favourable cases]   So probability = 16/52 = 4/13   4/13nswer: Option 4/13
Answer: A
In a partnership, A inverts 1/12 of the capital for 1/12 of the time, B invests 1/6 of the Capital for 1/6 of the time and C, the rest of the capital for the whole time. Out of a profit of Rs 113000/-, B’s share is :  Choose the correct option:
A) Rs. 40000/- B) Rs. 4000/- C) Rs. 14000/- D) Rs. 24000/- E) None of these

Solution: Explanation:   Let the total capital be Rs x and the total time be y months. Then,   A invests Rs x/12 for x/12 months;   B invests Rs x/6 for x/6 months;   C invests Rs [x – (x/12 + x/16)] => Rs.[x – (x+12)/12]   Rs. [(12x – 3x)/12]   Rs. [9x/12]   Rs. [3x/4] for y months   Then A : B : C = [x/12 * y/12] : [x/6 * y/6] : [3x/4 * y/1]   = xy/144 : xy/36 : 3xy/4   LCM = 144, 36, 4 = 144   A : B : C = 1 : 4 : 108   B’s Share = Rs(113000 * 4/113) = Rs. 4000/-   Answer: Option Rs. 4000/-
Answer: B
Two roads XY and YZ of 15 metres and 20 metres length respectively are perpendicular to each other. What is the distance between X & Z by the shortest route?
Options:	A) 35 metres	B) 30 metres	C) 24 metres	D) 25 metres	E) None of these

Solution: XYZ is a right-angled triangle   XZ =√15(2)+20(2)=√=625=25m   Answer 25 metres
Answer: D
The sum of two numbers is 25 and their difference is 15. Find their product.  Select:
A) 104	B) 100	C) 114	D) 325	E) None

Solution: Sol.   Let the numbers be x and y.   Then, x + y = 25   x - y = 15   2x = 40 => x = 20   so, y = 5   xy = 20* 5= 
20* 5 = 100
100   Answer 100
Answer: B
For any positive integer n, n>1, thelengthof n is the number of positive primes (not necessary distinct) whose product is n. For ex, the length of 50 is 5, since 50=2x5x5. What is the greatest possible length of a positive integer less than 1000.	Choose one
A) 10  B) 9  C) 8  D) 7  E) 6

Solution: you are missing something in your post:   For any positive integer n , n > 1, thelengthof n is the number of positive primes (not distinct) whose product is n. For example, the length of 50 is 3 since 50 = (2)(5)(5)   the lenght of 1000 = (2)(5)(2)(5)(2)(5) = 6   but we need n < 1000   using 2 as the base = (2)(2)(2)(2)(2)(2)(2)(2)(2) = 7 the length of 512.   the answer is (7)
Answer: D
A is the average (arithmetic mean) of the first 7 positive multiples of 4 and B is the median of the first 3 positive multiples of positive integer n. If the value of A^2 – B^2 is zero, what is the value of n? Answers:  A) 2  B) 4  C) 6  D) 8  E) 10

Solution: If A^2 - B^2 = 0, then let's assume that A = B.   A must equal the 4th positive multiple of 4, thus A = 16, which also equals B.   B is the second positive multiple of n, thus n = 16/2= 
16/2 = 8
8.   The answer is 8.
Answer: D
If x is to be chosen at random from the set {5,6,7,8} and y is to be chosen at random from the set {7,8,9}, what`s the probability that xy will be even? Choose the correct choice from the following options.
A) 1/6
B) 1/3
C) 1/2
D) 5/6
E) 2/3

Solution: The product to be even either one or both must be even, so:   P(x=even OR y=even)=P(x=even)+P(y=even)-P(x=even AND y=even)=2/4+1/3-2/4*1/3=2/3;   Or: P(xy=even)=1-P(xy=odd)=1-2/4*2/3=2/3, so basically we find the probability of the product to be odd (which happens when both x and y are odd) and subtract it from 1.   Answer: 2/3.
Answer: E
If 7 spiders make 7 webs in 7 days, then 1 spider will make 1 web in how many days? Choose the correct option
A) 6
B) 1
C) 3
D) 9
E) 7

Solution: Let the required number days be x.   Less spiders, More days (Indirect Proportion)   Less webs, Less days (Direct Proportion)   Spiders	1	:	7 :: 7 : x   Webs	7	:	1   :. 1 * 7 * x = 7 * 1 * 7   x = 7.   Answer is 7.
Answer: E
If 7 spiders make 7 webs in 7 days, then 1 spider will make 1 web in how many days?  Select the correct option.
A) 8	B) 6	C) 7	D) 5	E) 1

Solution: Explanation:   Let the required number days be x.   Less spiders, More days (Indirect Proportion)   Less webs, Less days (Direct Proportion)   {\color{Blue} therefore } 1 x 7 x x = 7 x 1 x 7   => x= 7   Answer: 7
Answer: C
A fashion designer sold a pair of jeans to a retail store for 40 percent more than it cost to manufacture the pair of jeans. A customer bought the pair of jeans for 40 percent more than the retailer paid for them. The price the customer paid was what percent greater than the cost of manufacturing the jeans?
Choose the correct choice:
A) 65% B) 70% C) 75% D) 85% E) 96%

Solution: find the product of the two increases: (14/10) * (14/10) which is 1.96 and a 96% increase.   96%
Answer: E
In Town X, 64 percent of the population are employed, and 48 percent of the population are employed males. What percent of the employed people in Town X are females?	Pick:	A) 16%	B) 25%	C) 32%	D) 40%	E) 52%

Solution: let population be 100   total employed people = 64% of the population = 64   employed males = 48 % of the population = 48   employed females = 16% of the population = 16   employed females % in terms of employed people = (16/64) * 100= 
(16/64) * 100 = 25
25%   Answer is 25%.
Answer: B
Two trains of equal length are running on parallel lines in the same direction at 46 km/hr and 36 km/hr. The faster train passes the slower train in 36 seconds. The length of each train is ?	Choose the correct choice from the following answers:
A) 40 meter	B) 45 meter	C) 50 meter	D) 55 meter	E) None of these

Solution: Explanation:   Let the length of each train is x meter   Distance will be x+x = 2x   Relative Speed = 46-36= 
46-36 = 10
10 km/hr= 10*(5/18) = 25/9 m/sec   Distance = Speed*Time   2x=25/9∗36   2x=100   =>x=50   So length of both the trains are 50 meters   Option 50 meter
Answer: C
The cost of five chairs and three tables is Rs.3110. Cost of one chair is Rs.210 less than cost one table. What is the cost of two tables and two chairs? Choose the correct choice from the following options
A) Rs.1660/-  B) Rs.1860/-  C) Rs.2600/-  D) Cannot be determined  E) None of these

Solution: Explanation:   Let ‘x’ be the cost of one chair   Then cost of 1 table = x + 210   Given 5x + 3(x+210) = Rs.3110   8x = 3110 – 630 = 2480   Cost of one chair (x) = 2480/8= 
2480/8 = 310
310   Cost of one table= 310 + 210 = rs.520   :. Cost of 2 tables   + 2= 
  + 2 = 2
2x520 + 2x310= Rs.1660   Rs.1660/-nswer: Option Rs.1660/-
Answer: A
A man is 22 years older than his son. In two years, his age will be twice the age of his son. The
present age of his son is
Choose the most appropriate option: A) 20 years B) 21 years C) 22 years D) 24 years E) 26 years

Solution: Explanation:   Let the son's present age be x years. Then, man's present age = (x + 22) years   => (x + 22) + 2 = 2(x + 2)   => x + 24 = 2x + 4   So, x = 20   20 yearsnswer: Option 20 years
Answer: A
X, Y and Z enter into partnership. X invests some money at the beginning, Y invests double the amount after 6 months, and Z invests thrice the amount after 8 months. If the annual gain be Rs.6000. X's share is?	Choose the most appropriate option.
A) 2500	B) 2000	C) 2100	D) 2200	E) 2300

Solution: x* 12 : 2x* 6: 3x* 4   1:1:1   1/3 * 6000= 
1/3 * 6000 = 2_000
2000   Answer: 2000
Answer: B
It costs Rs. x each to make the first thousand copies of a compact disk and Rs. y to make each subsequent copy. If z is greater than 1,000, how many Rupees will it cost to make z copies of the compact disk?
Choose the correct answer.
A) 1000 x + yz	B) zx - zy	C) 1000 (z - x) + xy	D) 1000 (z - y) + xz	E) 1000 (x- y) + yz

Solution: Explanatory Answers   We need to find the total cost to make z copies, z > 1000.   The first 1000 copies will cost Rs.x each. Or the total cost of first 1000 copies = Rs.1000x   The remaining z - 1000 copies will cost Rs.y each.   Or the cost of the z - 1000 = Rs.(z - 1000)y   Therefore, total cost = 1000x + zy - 1000y   = 1000(x - y) + yz   Answer 1000 (x- y) + yz
Answer: E
One hour after Yolanda started walking from X to Y, a distance of 60 miles, Bob started walking along the same road from Y to X. If Yolandaâs walking rate was 5 miles per hour and Bobâs was 6 miles per hour, how many miles had Bob walked when they met? Options
A) 40  B) 25  C) 28  D) 30  E) 30.5

Solution: Let t be the number of hours that Bob had walked when he met Yolanda. Then, when they met, Bob had walked 4t miles and Yolanda had walked 5(t + 1) miles. These distances must sum to 60 miles, so 6t + 5(t + 1) = 60, which may be solved for t as follows   6t + 5(t + 1) = 60   6t + 5t + 5 = 60   11t = 55   T = 5 (hours)   Therefore, Bob had walked 6t = 6(5) = 30 miles when they met. The best answer is 30.
Answer: D
1 men takes 37$ to Eat a pizza in restaurant such that it have discount multiple of 4 if u eat more pizza . discount increase by multiple of 4 every pizza u eat. for 1 pizza 0% off. for 2 pizza % off for 3 pizza 8% off. pizza without discount is 10$. How much that man eats the pizza.
Select: A) 2 B) 3 C) 4 D) 5 E) 6

Solution: Solution: B. For 1 pizza 10$. For 2 pizza 10$ +9.6$(4% off)=19.6, For 3 pizza 19.6+9.2(8% off)=28.8, For 4 pizza 28.8+8.8(12% off)=37.6. so he have 37 so he cant eat 4th pizza.
Answer: B
150 is increased by 40%. Find the final number.
Select:	A) 200	B) 210	C) 180	D) 190	E) 220

Solution: Final number = Initial number + 40%(original number) = 150 + 40%(150) = 150 + 60= 
150 + 60 = 210
210.   Answer 210
Answer: B
The probability of rain showers in Barcelona on any given day is 0.7. What is the probability that it will rain on exactly one out of three straight days in Barcelona?
Choose the correct option:
A) 0.189 B) 0.072 C) 0.432 D) 0.72 E) 0.288

Solution: IMO This is just for first day! It can rain on 2nd day or 3 rd day (and not rain on other days) in 3 consecutive days!   Hence,   0.7*0.3*0.3 + 0.3*0.7*0.3 + 0.3*0.3*0.7= 
0.7*0.3*0.3 + 0.3*0.7*0.3 + 0.3*0.3*0.7 = 0.189
0.189   Option - 0.189
Answer: A
Two trains leave the same train station at 6:00 am and 6:45 am and they travel at 100 kph and 125 kph respectively. How many kilometers from the train station will the two trains be together?  Choose the correct choice from the following answers:
A) 300
B) 325
C) 350
D) 375
E) 400

Solution: At 6:45, the first train is 75 km ahead.   The second train gains 25 km each hour.   The time it takes the second train to catch the first train is 75 / 25= 
75 / 25 = 3
3 hours.   In this time, the second train travels   3*125= 
  3*125 = 375
375 km.   The answer is 375.
Answer: D
The sector of a circle has radius of 21 cm and central angle 135o. Find its perimeter?	Choose the correct choice:
A) 91.5 cm  B) 91.6 cm  C) 91.2 cm  D) 91.3 cm  E) 91.9 cm

Solution: Perimeter of the sector = length of the arc + 2(radius)   = (135/360 * 2 * 22/7 * 21) + 2(21)   = 49.5 + 42= 
49.5 + 42 = 91.5
91.5 cm   91.5 cmnswer: 91.5 cm
Answer: A
What amount does Kiran get if he invests Rs. 18000 at 15% p.a. simple interest for five years?	Choose the correct choice from the following choices:
A) 31500	B) 27773	C) 29989	D) 28800	E) 29883

Solution: Simple interest = (18000 * 5 * 15)/100 = Rs. 13500   Amount = P + I = 18000 + 13500 = Rs. 31500   31500nswer: 31500
Answer: A
Eric, Nick and Archi make contributions to the Society Of Nature Protection in the ratio of 5:3:2.5. If altogether they contribute 4914 Nis, how much more money does Nick contribute than Archi?  Choose the correct choice
A) 128 Nis  B) 212 Nis  C) 234 Nis  D) 245 Nis  E) 288 Nis

Solution: E:N:A 5:3:2.5   so total = 5x + 3x + 2.5 x = 10.5 x 5  + 3  + 2.5= 
5  + 3  + 2.5 = 10.5
10.5 x= 4914   so x = 468   Nick Contribution is 0.5 more than Archi so 0.5 x =0.5 * 468= 
0.5 * 468 = 234
234   So C. 234 Nis is the correct answer
Answer: C
Two boys starting from the same place walk at a rate of 5kmph and 5.5kmph respectively. What time will they take to be 10km apart, if they walk in the same direction? Choose the correct choice from the following options:
A) 15 hours	B) 16 hours	C) 17 hours	D) 18 hours	E) 20 hours

Solution: The relative speed of the boys = 5.5kmph â€“ 5kmph   = 0.5 kmph   Distance between them is 10 km   Time = Distance/Speed   Time= 10km / 0.5 kmph = 20 hrs   answer :20 hours
Answer: E
The sum of ages of 5 children born 3 years different each is 50 yrs. What is the age of the Elder child?  Select
A) 7
B) 9
C) 16
D) 18
E) 21

Solution: Let the ages of children be x, (x + 3), (x + 6), (x + 9) and (x + 12) years.   Then, x + (x + 3) + (x + 6) + (x + 9) + (x + 12) = 50   5x = 20   x = 4.   x+12= 4+12= 
4+12 = 16
16   16
Answer: C
A man can row downstream at 18 kmph and upstream at 12 kmph. Find the speed of the man in still water and the speed of stream respectively? Choose one.
A) 3
B) 5
C) 6
D) 4
E) 9

Solution: Let the speed of the man in still water and speed of stream be x kmph and y kmph respectively.   Given x + y = 18 --- (1)   and x - y = 12 --- (2)   From (1) & (2) 2x = 30 => x = 15, y = 3. 3nswer: 3
Answer: A
If r = 2^3 * 5^2 * 7 and s = 2^3 * 3^2 * 5, which of the following is equal to the greatest common divisor of r and s?
Answers:
A) 2 * 5	B) 2^3 * 5	C) 2^3 * 5^2	D) 2*3*5*7	E) 2^3 * 3^2 *5^2 * 7

Solution: GCD = product of prime factors raised to the least power = 2^3 * 5   The answer is 2^3 * 5.
Answer: B