MU-NLPC/Calc-aqua_rat huggingface dataset:
A person can row at 9 kmph and still water. He takes 4 1/2 hours to row from A to B and back. What is the distance between A and B if the speed of the stream is 1 kmph?
A. 32 km B. 25 km  Select:
A) 65 km
B) 88 km
C) 44 km
D) 02 km
E) 20 km

Solution: Let the distance between A and B be x km.   Total time = x/(9 + 1) + x/(9 - 1) = 4.5   => x/10 + x/8 = 9/2 => (4x + 5x)/40 = 9/2 => x = 20 km.   Answer: 20 km
Answer: E
If A and B are two prime numbers bigger than 2, which of the following can't be true?
(1) A + B is an even number.
(2) A x B is also a prime number.
(3) A^B is also a prime number.  Options.
A) 1 only.
B) 2 only.
C) 3 only.
D) 2 and 3 only.
E) 1, 2 and 3.

Solution: (1) A + B is an even number. : All primes beyond 2 are odd, so odd+odd = even, so true   (2) A x B is also a prime number. : Beats the property of primes, so false   (3) A^B is also a prime number. : Beats the property of primes, so false   Answer : 2 and 3 only   ANSWER:2 and 3 only.
Answer: D
A box contains 22 electric bulbs, out of which 4 are defective. Two bulbs are chosen at random from this box. The probability that at least one of these is defective is	Choices:
A) 4/19
B) 7/19
C) 12/19
D) 21/99
E) 26/77

Solution: Solution   P( None is defective)   = 18C2 / 22C2   = 51/77   P( at least one is defective)   = (1- 51/77)   = 26/77.   Answer 26/77
Answer: E
How many arrangements can be made if there are 5 balls from which 3 are red, 1 is green, 1 is yellow. find the probability of getting all 3?	Choose the correct choice:
A) 3/10
B) 4/10
C) 6/10
D) 7/10
E) 9/10

Solution: arrangement = 5!/3!=20   Probability of getting all 3 balls=   3 from 5=5c3   1 from 3 red ball,1 green,1 yellow   (3c1*1c1*1c1)/5c3 =3/10   3/10NSWER:3/10
Answer: A
Fresh grapes contain 60% by weight while dried grapes contain 20% water by weight. What is the weight of dry grapes available from 30kg of fresh grapes? Choose the correct choice from the following options:
A) 10 kg  B) 15 kg  C) 20 kg  D) 25 kg  E) 40 kg

Solution: From the question we know: 30kg * 60% = 18 kg of water in the fresh grapes   30kg - 18kg of water = 12kg of non-water mass   We are looking for the weight of the dry grapes (X).   Since the question tells us that 20% of the weight of the dry graps is water and we know that 12kg is non-water mass we can set up the following equation:   X = 1/5(X) + 12kg   4/5(X) = 12kg   X = 15 kg   Answer- 15 kg
Answer: B
A and B together can do a work in 6 days. If A alone can do it in 15 days. In how many days can B alone do it? Choose the correct choice from the following choices
A) 15  B) 10  C) 20  D) 18  E) 12

Solution: 1/6 â€“ 1/15 = 1/10 => 10   ANSWER 10
Answer: B
Simran started a software business by investing Rs. 50,000. After six months, Nanda joined her with a capital of Rs. 80,000. After 3 years, they earned a profit of Rs. 28,000. What was Simran's share in the profit?
Choose the correct choice from the following options
A) Rs. 9423	B) Rs. 10,250	C) Rs. 12,000	D) Rs. 14,000	E) None of these

Solution: Simran : Nanda = (50000 * 36) : (80000 * 30) = 3:4   Simran's share = 28000 * 3/7 = Rs. 12000   ANSWER:Rs. 12,000
Answer: C
A library has 360 math books; 60 Calculus books, 120 Geometry books, and 180 Algebra books. What percentage of books are Geometry books ?
Choose the correct answer
A) 33.3 %  B) 16.7 %  C) 66.7 %  D) 77 %  E) None of these

Solution: Explanation :   Geometry Book percentage = (120/360 x 100)%   = 33.3 %   33.3 %nswer : 33.3 %
Answer: A
Rick deposited $650 to his bank account using $5 and $15 dollar bills only. If Rick came to the bank with 70 bills and left with 10 bills only, how many $15 dollar billsმ did he deposit? Options:  A) 5.  B) 25.  C) 50.  D) 35.  E) 65.

Solution: 5x+15y=650 --1   x+y=60 ---2   multiply eq 2 with 5 and subtract from eq 1   5x+15y=650   5x+5y=300   10y= 350   y=35 and x = 25   therefore $15 bills = 35   Answer 35.
Answer: D
What will come in place of the x in the following Number series? 12, 38, 116, 350, 1052, 3158, 9476, 28430,x  Pick
A) 2643
B) 5464
C) 3456
D) 7554
E) 85292

Solution: 12   12 Ã— 3 + 2 = 38   38 Ã— 3 + 2 = 116   116 Ã— 3 + 2 = 350   350 Ã— 3 + 2 = 1052   1052 Ã— 3 + 2 = 3158   3158 Ã— 3 + 2 = 9476   9476 Ã— 3 + 2 = 28430   28430 Ã— 3 + 2 = 85292   85292
Answer: E
Ashok and Pyarelal invested money together in a business and share a capital of Ashok is 1/9 of that of Pyarelal.if the incur a loss of Rs 900 then loss of Pyarelal?	Select the correct option
A) 610 B) 710 C) 810 D) 900 E) 1000

Solution: Let the capital of Pyarelal be x, then capital of Ashok=x/9   So ratio of investment of Pyarelal and Ashok = x : x/9 =9x : x   Hence out of the total loss of 900, loss of Pyarelal= 900*9x/10x=810   ANSWER:810900*9 /10= 
900*9 /10 = 810
810   ANSWER:810
Answer: C
How many multiples of 2 are there between 1 and 60, exclusive?	Choose one:  A) 21  B) 22  C) 29  D) 26  E) 28

Solution: 29   multiples of 2 between 1 and 60 exclusive.   from 2 * 1 upto 2*29, (1,2,3,4,...,29). Hence, 29 multiples !   correct option is 29
Answer: C
In baseball, the batting average is defined as the ratio of a player’s hits to at bats. If a player had anywhere from 6 to 8 at bats in a recent game and had anywhere from 3 to 4 hits in the same game, the player’s actual batting average for that game could fall anywhere between Answers:
A) 0.25 and 0.30 B) 0.25 and 0.75 C) 0.37 and 0.75 D) 0.33 and 0.50 E) 0.50 and 0.66

Solution: Average Range = Hits to Bats i.e 3/8 to 4/6 = 0.37 to 0.66   Answer: 0.37 and 0.75
Answer: C
A bag marked at $200 is sold for $120. The rate of discount is?  Choose the correct answer:	A) 10%	B) 25%	C) 20%	D) 50%	E) 40%

Solution: Rate of discount = 80/200 * 100= 
80/200 * 100 = 40
40%   Answer is 40%
Answer: E
It costs $4 for the first 1/4 hour to use the laundry machine at the Laundromat. After the first ¼ hour it costs $10 per hour. If a certain customer uses the laundry machine for 2 hours, how much will it cost him?
Select:  A) $20.  B) $22.  C) $24.  D) $26.  E) $28.

Solution: 2 hrs = 120 min   First 15 min ------> $4   Time left is 120 min...   Now, 60 min costs $ 10   1 min costs $ 10/60   120 min costs $  10/60*120= 
 10/60*120 = 20
> $ 20.00   So, Total cost will be $20 + $4 => $ 24   Hence answer will be $24.20 +  4= 
20 +  4 = 24
> $ 24   Hence answer will be $24.
Answer: C
$406 is divided among A, B, and C so that A receives half as much as B, and B receives half as much as C. How much money is C's share?  Options:
A) $208  B) $216  C) $224  D) $232  E) $240

Solution: Let the shares for A, B, and C be x, 2x, and 4x respectively.   7x = 406   x = 58   4x = 232   The answer is $232.
Answer: D
Working alone at its constant rate, machine K took 3 hours to produce 1/6 of the units produced last Friday. Then machine M started working and the two machines, working simultaneously at their respective constant rates, took 9 hours to produce the rest of the units produced last Friday. How many hours would it have taken machine M, working alone at its constant rate, to produce all of the units produced last Friday?
Options:
A) 8
B) 12
C) 16
D) 21
E) 27

Solution: Machine K works at a rate of 1/18 of the units per hour.   The rate of K + M together is 5/6 * 1/9 = 5/54 of the units per hour.   The rate of machine M is 5/54 - 3/54 = 1/27.   It would have taken machine M a total time of 27 hours.   The answer is 27.
Answer: E
Arun purchased 30 kg of wheat at the rate of Rs. 11.50 per kg and 20 kg of wheat at the rate of 14.25 per kg. He mixed the two and sold the mixture. Approximately what price per kg should be sell the mixture to make 30% profit?	Select the correct option: A) 16.35 B) 16.31 C) 16.32 D) 16.3 E) 16.31

Solution: C.P. of 50 kg wheat = (30 * 11.50 + 20 * 14.25) = Rs. 630.   S.P. of 50 kg wheat = 130% of Rs. 630 = 130/100 * 630 = Rs. 819.   S.P. per kg = 819/50 = Rs. 16.38 = 16.30.   Answer:16.3
Answer: D
3 pumps working 8 hours a day, can empty a tank in 2 days. How many hours a day must 4 pumps work to empty the tank in 1 day?
Choose the correct choice from the following answers:  A) 10  B) 11  C) 12  D) 13  E) 15

Solution: Let the required no of working hours per day be x.   More pumps , Less working hours per day (Indirect Proportion)   Less days, More working hours per day (Indirect Proportion)   pumps 4:3 and Days 1:2::8:x   Therefore, 4x1x(x)=3x2x8   X=(3x2x8)/4   X = 12.   Answer is 12.
Answer: C
The length of the bridge, which a train 110 metres long and travelling at 45 km/hr can cross in 30 seconds, is: Pick one:
A) 230
B) 240
C) 245
D) 250
E) 265

Solution: Speed = [45 X 5/18] m/sec = [25/2] m/sec Time = 30 sec Let the length of bridge be x metres. Then, (110 + x)/30 = 25/2 => 2(110 + x) = 750 => x = 265 m.   Answer: Option 265
Answer: E
The average (arithmetic mean) of the 5 positive integers k, m, r, s, and t is 18, and k < m < r < s < t. If t is 40, what is the greatest possible value of the median of the 5 integers?  Choose the correct choice from the following answers:
A) 16  B) 23  C) 19  D) 20  E) 22

Solution: We need to find the median which is the third value when the numbers are in increasing order. Since k<m<r<s<t, the median would be r.   The average of the positive integers is 18 which means that in effect, all numbers are equal to 18. If the largest number is 40, it is 22 more than 18. We need r to be maximum so k and m should be as small as possible to get the average of 16. Since all the numbers are positive integers, k and m cannot be less than 1 and 2 respectively. 1 is 17 less than 18 and 2 is 16 less than 18 which means k and m combined are 33 less than the average. 40 is already 22 more than 18 and hence we only have 33 - 22= 
33 - 22 = 11
11 extra to distribute between r and s. Since s must be greater than r, r can be  18+5= 
 18+5 = 23
23 and s can be   18+6= 
  18+6 = 24
24.   So r is 23   Answer (23)
Answer: B
A reduction of 25% in the price of oil enables a house wife to obtain 5kgs more for Rs.900, what is the reduced price for kg?  Select the correct option.
A) 45 B) 60 C) 70 D) 80 E) 20

Solution: 45   900*(25/100)= 
900*(25/100) = 225
225 ---- 5   ? ---- 1=> Rs.45
Answer: A
Suppose we have six marbles: 3 blue marbles, 2 red marbles, and one yellow marble. Suppose we are going to put them into three cups: a black cup, a white cup, and a purple cup. We could put all six in any cup and leave two cups empty; or we could put marbles in two cups and leave one cup empty; or we could put some marbles in each of the three cups. How many combinations are possible?	Choose the correct choice
A) 160	B) 220	C) 180	D) 200	E) 240

Solution: # ways to distribute Blue marbels(3) is :   1 in each cup= 1   2 in one cup and 1 in other=6   all 3 in one cup = 3   total 1+6+3= 
1+6+3 = 10
10 possibilities   # ways to distribute Red marbels(2) is :   1 in each cup= 3 ways   all in one cup = 3ways   total 6ways.   # ways to distribute yellow marbels(1) is :   3 ways   total number of ways = 10*6 *3= 
10*6 *3 = 180
180   180
Answer: C
Which of the following is not divisible by 6?	Pick one: A) 10032 B) 21192 C) 47816 D) 91232 E) 72031

Solution: Divisibility rule of 6: Number must be divisible by both 2 and 3   Option A: 10032, Divisible by 2. Hence divisible by 6   Option B: 21192, Divisible by 2 & 3. Hence divisible by 6   Option C: 47816, Divisible by 2. Hence divisible by 6   Option D: 91232, Divisible by 2. Hence divisible by 6   Option E: 72031, Not divisible by 2 or 3. Hence 72031 is not divisible by 6
Answer: E
A tour group of 25 people paid a total of $840 for entrance to a museum. If this price included a 5% sales tax, and all the tickets cost the same amount, what was the face value of each ticket price without the sales tax?
Choices  Choose the correct choice from the following.
A) $22
B) $23.94
C) $32
D) $25.20
E) $30

Solution: Soln:-   840/25=x+0.05x   840/25=1.05x   x=32   ANSWER:$32
Answer: C
The ratio of three numbers is 3:4:5 and the sum of their squares is 1250. The sum of the numbers is?	Select
A) 2
B) 3
C) 4
D) 6
E) 5

Solution: Let the numbers be 3x,4x,5x   then, 9x^2+16x^2+25x^2 = 1250   50x^2 = 1250   x^2 = 25   x=5   Answer is 5
Answer: E
A box measuring 30 inches long by 48 inches wide by 12 inches deep is to be filled entirely with identical cubes. No space is to be left unfilled. What is the smallest number of cubes that can accomplish this objective?	Choose the correct choice:	A) 78	B) 80	C) 85	D) 88	E) 90

Solution: least number of cubes will be required when the cubes that could fit in are biggest.   6 is the biggest number that could divide all three, 30, 48 and 12.   Thus side of cube must be 6, and total number of cubes = 30/6 * 48/6*12/6= 
30/6 * 48/6*12/6 = 80
80   Ans 80.
Answer: B
The length of a bridge in meters, which a train 100-meters long and traveling at 45 km/hr can cross in 30 seconds is?  Choose the correct option:
A) 225 B) 245 C) 275 D) 325 E) 375

Solution: 45 km/h = 45000 m/3600 s = 12.5 m/s   In 30 seconds, the train can go 30(12.5) 45000  /3600= 
45000  /3600 = 25/2 = around 12.5
12.5 m/s   In 30 seconds, the train can go 30(12.5)= 375 meters   Let x be the length of the bridge.   x+100 = 375 meters   x = 275 meters   The answer is 275.
Answer: C
When N is divided by T, the quotient is S and the remainder is M. Which of the following expressions is equal to N? Choices:
A) ST B) S + V C) ST + M D) T(S+V) E) T(S – V)

Solution: Using the rule dividend = Quotient * divisor + remainder =>ST + M ST + M is correct
Answer: C
Three members of a certain club are selected to speak at the next club meeting. If there are 36 different possible selections of the 3 club members, how many members does the club have? Choices:
A) 5 B) 6 C) 7 D) 8 E) 11

Solution: Total No. of Selection of r out of n objects are defined by nCr = n! / [(r!)(n-r)!]   i.e. If total member = n   then nC2 = n! / [(3!)(n-3)!] = 36   i.e. n*(n-1)*n-3!/ [(3!)n-3!] = 36   i.e. n*(n-1) = 108   (for Positive Values of n)   therefore, n*(n-1) = 108   i.e. n=11   Answer: Option 11
Answer: E
Mercury travels around the sun at a speed of approximately 30 miles per second. The approximate speed is how many miles per hour?  Choose the correct choice from the following options.
A) 108,000  B) 96,000  C) 84,000  D) 72,000  E) 60,000

Solution: 30 * 3600 = 108,000   The answer is 108,000.
Answer: A
A certain bag contains 100 balls â€” 50 white, 25 green, 10 yellow, 7 red, and 8 purple. If a ball is to be chosen at random, what is the probability that the ball will be neither red nor purple?
Pick:
A) 0.9
B) 0.85
C) 0.6
D) 0.8
E) 0.5

Solution: According to the stem the ball can be white, green or yellow, so the probability is (white + green + yellow)/(total) = (50 + 25 + 10)/100 =85/100 = 0.85.   Answer is 0.85
Answer: B
What is the are of an equilateral triangle of side 4 cm? Choose the correct choice from the following options:
A) 2√3  B) 3√3  C) 5√3  D) 4√3  E) 8√3

Solution: Area of an equilateral triangle = √3/4 S2   If S = 4, Area of triangle = √3/4 * 4 * 4   = 4√3 cm2;   Answer:4√3
Answer: D
Two trains are moving at 40 kmph and 70 kmph in opposite directions. Their lengths are 150 m and 100 m respectively. The time they will take to pass each other completely is?  Choose the correct answer: A) 41/2 sec B) 5/2 sec C) 61/2 sec D) 71/6 sec E) 49/6 sec

Solution: 70 + 40= 
70 + 40 = 110
110 * 5/18= 275/9mps   D = 150 + 100= 
150 + 100 = 250
250 m   T= 250 * 9/275 = 49/6 sec   Answer:49/6 sec
Answer: E
What is the least common multiple of 12,15,18,27 Pick
A) 640
B) 540
C) 691
D) 385
E) 789

Solution: factors of 12 =2*2*3   factors of 27= 3*3*3   factors of 15 =3*5   factors of 18 =2*3*3   thus the l.c.m is   2*3*2*3**1*5*3= 
  2*3*2*3**1*5*3 = 540
540   the answer is 540
Answer: B
2 trains starting at the same Ɵme from 2 stations 200 km apart and going in opposite direction cross
each other at a distance of 110 km from one of the stations. What is the ratio of their speeds ?
Select the correct option.
A) 11:9  B) 13:9  C) 17:9  D) 21:9  E) None of these

Solution: Explanation:   We know total distance is 200 Km   If both trains crossed each other at a distance of 110 km then one train covered 110 km and other 90 km   [ 110+90= 
 110+90 = 200
200km]   So raƟo of their speed= 110:90 = 11:9   11:9nswer: 11:9
Answer: A
he two trains of lengths 400 m, 600 m respectively, running at same directions. The faster train can cross the slower train in 180 sec, the speed of the slower train is 48 km. then find the speed of the faster train?
Choices:
A) 76 Kmph	B) 68 Kmph	C) 87 Kmph	D) 56 Kmph	E) 10 Kmph

Solution: Length of the two trains = 600m + 400m   Speed of the first train = X   Speed of the second train= 48 Kmph   1000/X - 48 = 180   1000/x - 48 * 5/18 = 180   50 = 9X - 120   X = 68 Kmph   Answer:68 Kmph
Answer: B
how much percentage 80 is of 480?  Choose the most appropriate option:
A) 16.5
B) 14.33
C) 12.5
D) 15.8
E) 16.66

Solution: 80*100/480=16.66%   answer 16.66
Answer: E
Cream costs twice as much as skim milk. A certain brand of milk is 1/5 cream and 4/5 skim milk. What fraction of the cost of this brand is due to the cream? Choose the correct choice
A) 1/3	B) 2/3	C) 1/4	D) 3/4	E) 2/5

Solution: Let x be the cost of the skim milk in the mixture.   The cost of the cream is (1/4)*x*2 = x/2.   The total cost is x+x/2 = 3x/2 and the fraction due to the cream is (x/2) / (3x/2) = 1/3   The answer is 1/3.
Answer: A
City A to city B, Andrew drove for 1 hour at 50 mph and for 3 hours at 60 mph. What was the average speed for the whole trip?
Options:
A) 56 B) 57.5 C) 58.9 D) 61.3 E) 67.23

Solution: The total distance is 1×50+3×60=2301×50+3×60=230. And the total time is 4 hours. Hence,   Average Speed=(Total DistanceTotal Time)=2304=57.5   57.5
Answer: B
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?	Select
A) 10 kmph	B) 15 kmph	C) 20 kmph	D) 22 kmph	E) 25 kmph

Solution: M = 15   S = 5   DS = 15 + 5= 
15 + 5 = 20
20   Answer:20 kmph
Answer: C
The distance between a school and the closest grocery store is approximately 9.2 x 10^4 inches. Which of the following is closest to the distance between the school and the store, in kilometers? (1 kilometer is approximately 3.9 x 10^4 inches.)
Choose one:
A) 2.9
B) 3.2
C) 2.7
D) 2.4
E) 1.9

Solution: We know that 1 kilometer = 3.9x10^4 inches. Therefore, we now have a ratio of (1 kilometer/3.9x10^4 inches).   We also know that the distance between the school and the store is approximately 9.2x10^4 inches. To convert inches to kilometers, we need to multiply 9.2x10^4 inches by the ratio we just found out.   kilometers = 9.2x10^4 inches x (1 kilometer/3.9x10^4 inches) [note: "inches" cancel out, leaving us with just km]   km = 9.2x10^4/3.9x10^4 km   km = 2.36 = 2.4 km   Therefore, we can see that the closest answer is 2.4.
Answer: D
In a certain store, the profit is 320% of the cost. If the cost increases by 25% but the selling price remains constant, approximately what percentage of the selling price is the profit?  Choose one
A) 50
B) 40
C) 70
D) 80
E) 30

Solution: C   70%   Let C.P. = $100. Then, profit = $320, S.P. = $420   New C.P. = 125% of $100 = $125.   New S.P. = $420   Profit = 420 - 125= 
420 - 125 = 295
$295   Required percentage= 295/420 * 100 = 1475/21 = 70%
Answer: C
If 4-X < 2-5X, which of the following is correct?  Choose the most appropriate option
A) X < -1/2.  B) X > -5.  C) X > 5.  D) -5 < X < 0.  E) 0 < X < 5.

Solution: 4-X < 2-5X   2 < -4X   -10/2>X   -5>X   X < -1/2. is the answer
Answer: A
For any number Z, Z* is defined as the greatest positive even integer less than or equal to y. What is the value of 6.30 – 6.30*?  Choose the correct choice from the following choices
A) 1.5	B) 0.5	C) 6.25	D) 0.25	E) 0.3

Solution: Since Z* is defined as the greatest positive even integer less than or equal to Z, then 6.30* =6 (the greatest positive even integer less than or equal to 6.30 is 6).   Hence, 6.30 – 6.30* = 6.30 - 6= 
6.30 - 6 = 0.3
0.30   Answer: 0.3.
Answer: E
The present population of a town is 3744. Population increase rate is 20% p.a. Find the population of town before 2 years?
Select the correct option.
A) 2500 B) 2600 C) 3500 D) 3600 E) 2050

Solution: P = 3744   R = 20%   Required population of town = P/(1 + R/100)^T   = 3744/(1 + 20/100)^2   = 3744/(6/5)^2   = 2600(approximately)   Answer is 2600
Answer: B
An association of mathematics teachers has 1,600 members. Only 525 of these members cast votes in the election for president of the association. What percent of the total membership voted for the winning candidate if the winning candidate received 60 percent of the votes cast? Pick:
A) 75%
B) 58%
C) 42%
D) 14.5%
E) 19.6%

Solution: Total umber of members = 1600   Number of members that cast votes = 525   Since , winning candidate received 60 percent of the votes cast   Number of votes for winning candidate = (60/100)*525= 
(60/100)*525 = 315
315   Percent of total membership that voted for winning candidate= (315/1600)*100 = 19.6%   Answer 19.6%
Answer: E
A ratio between two numbers is 5:4 and their L.C.M. is 80. The first number is
Select the correct option:  A) 60  B) 45  C) 20  D) 15  E) None

Solution: Sol.   Let the required numbers be 5x and 4x. Then, their L.C.M. is 20x.   ∴ 20x = 80⇔ x = 4. Hence, the first number is 20.   Answer 20
Answer: C
A train 110 m long is running with a speed of 60 km/hr. In what time will it pass a man who is running at 6 km/hr in the direction opposite to that in which the train is going?	Answers:
A) 1	B) 6	C) 7	D) 9	E) 3

Solution: Speed of train relative to man = 60 + 6= 
60 + 6 = 66
66 km/hr.= 66 * 5/18 = 55/3 m/sec.   Time taken to pass the men = 110 * 3/55= 
110 * 3/55 = 6
6 sec.   Answer: 6
Answer: B
Free notebooks were distributed equally among children of a class. The number of notebooks each child got was one-eighth of the number of children. Had the number of children been half, each child would have got 16 notebooks. Total how many notebooks were distributed ? Select
A) 689 B) 569 C) 123 D) 512 E) 456

Solution: Explanation:   Let total number of children be x   Then, x x1/8X=x/2*16,x=64   Number of notebooks =1/8x^2=(1/8*64*64)= 
(1/8*64*64) = 512
512   Answer:512
Answer: D
The sum of the mean, the median, and the range of the set {5, 7, 9} equals which one of the following values?
Pick.
A) 27
B) 45
C) 62
D) 22
E) 10

Solution: set {5, 7, 9}   Mean = (5+7+9)/3= 
(5+7+9)/3 = 7
7   Meadian= Middle term = 7   Range = Highest - Lowest = 9-1= 
9-1 = 8
8   Mean+Median+Range= 7+7+8= 
7+7+8 = 22
22   Answer: Option 22
Answer: D
On 8th Feb, 2005 it was Tuesday. What was the day of the week on 8th Feb, 2004?  Choose the correct choice from the following answers:
A) Tuesday  B) Wednesday  C) Friday  D) Monday  E) Sunday

Solution: The year 2004 is a leap year. It has 2 odd days.   The day on 8th Feb, 2004 is 2 days before the day on 8th Feb, 2005.   Hence, this day is Sunday.   Answer: Sunday
Answer: E
What is the length of a bridge (in meters), which a train 166 meters long and travelling at 45 km/h can cross in 40 seconds?  Choose the most appropriate option.
A) 310
B) 318
C) 326
D) 334
E) 342

Solution: speed = 45 km/h = 45000 m / 3600 s = 25/2 m/s   In 40 seconds, the train can travel  25/2 * 40= 
 25/2 * 40 = 500
500 meters   500= length of train + length of bridge   length of bridge = 500 - 166= 
500 - 166 = 334
334 meters   The answer is 334.
Answer: D
I have Rs.450 in my pocket. I would like to give my mother, my brother and my friend the same amount, how much should I give to each of them?	Select the correct option:
A) 120	B) 70	C) 90	D) 150	E) 60

Solution: 450/3= 
450/3 = 150
150   The answer is 150.
Answer: D
The average of 10 numbers is calculated as 46. It is discovered later on that while calculating the average, the number 65 was incorrectly read as 25, and this incorrect number was used in the calculation. What is the correct average?	Select the correct option.
A) 48  B) 50  C) 54  D) 66  E) 86

Solution: The total sum of the numbers should be increased by 40.   Then the average will increase by  40/10= 
 40/10 = 4
4.   The correct average is 50.   The answer is 50.
Answer: B