MU-NLPC/Calc-aqua_rat huggingface dataset:
Two whales are moving in the same direction at 60 kmph and 42 kmph. The faster whale manages to cross the other whale in 14 seconds. Find the length of the faster whale in meters. Choose the correct choice from the following:	A) 110 m	B) 45 m	C) 70 m	D) 120 m	E) 113 m

Solution: Relative speed = ( 60 - 42 ) * 5 / 18= 
( 60 - 42 ) * 5 / 18 = 5
5 mps.   Distance covered in 14 seconds= 14 * 5= 
14 * 5 = 70
70 m.   The length of the faster whale= 70m.   Answer: 70 m
Answer: C
There are 12 cans in the refrigerator. 8 of them are red and 4 of them are blue. In how many ways we can remove 8 cans so that at least one red and at least one blue cans to remain the refrigerator.  Choose the correct choice from the following options: A) 460 B) 490 C) 493 D) 455 E) 424

Solution: Ways to pick 4 cans so that at least one red and at least one blue cans to remain the refrigerator =   total ways to pick 4 can out of 12 - ways to pick 4 red out of 8 red - ways to pick 4 blue out of 4 blue   12C4âˆ’8C4âˆ’4C4=495âˆ’70âˆ’1=424   ANSW424R:424
Answer: E
Two numbers are respectively 20% and 25% more than a third number. So find the percentage that is first of the second is?
Choose the correct choice from the following answers
A) 96
B) 20
C) 35
D) 78
E) 89

Solution: First - 120   second - 125   third - 100   125----120   100-----96   96NSWER 96
Answer: A
A, B and C invested Rs.6000, Rs.7200 and Rs.10800 respectively, in a partnership business. Find the share of C in profit of Rs.19000 after a year? Choose the correct choice
A) 3630	B) 5580	C) 19000	D) 8550	E) 6000

Solution: Explanation:   6000 :7200 : 10800   5:6:9   9/20 * 19000= 
9/20 * 19000 = 8_550
8550   Answer: 8550
Answer: D
There are 22 girls in hostel whose average age is decreased by 2 months, when one girl 18 yrs is replaced by a new boy.Find the age of new girl.  Choices.
A) 1 year	B) 1 years 2 months	C) 3 years 8 months	D) 4 years	E) None

Solution: Total decrease = 22 * 2= 
22 * 2 = 44
44 months= 3 years 8 months   3 years 8 months
Answer: C
One-third of 1206 is what percent of 162? Choose the correct choice from the following answers: A) 324.11 B) 300.12 C) 248.14 D) None of these E) cannot be determined

Solution: Answer   Let one-third of 1206 is N% of 162.   ∵ 1206/3 = (N x 162)/100   ∴ N = (402 x 100) / 162= 248.14   248.14orrect Option: 248.14
Answer: C
7th number in the series....
99,18,36,9,18	Choose the correct choice from the following options
A) 17 B) 18 C) 19 D) 20 E) 21

Solution: its 7 th number in the series 99,18,36,9,18,_,?   99 18.....9+9=18*2= 
18*2 = 36
36   36 9.......3+6=9*2= 
9*2 = 18
18   18 ?........1+8=9*2= 
9*2 = 18
18   ANSWER:18
Answer: B
Given 5^x, for any real integer of x, which of the following is a possible resultant?	Select:	A) 15,620	B) 15,652	C) 15,623	D) 15,653	E) 15,625

Solution: Given that the answers have different last digits, there are several ways to solve this, but the most straight forward way is to check the algorithm. 5^x has a cycle of 0.   5^1 = 5   5^2 = 25   5^3 = 125   Observe that the last digit of all the resultants of 5^x is 5. If we continue 5^x, the last digit follows the pattern 5, 5, 5, 5, 5, 5, .... So, all we need look for is the last digit in the pattern, 5.   Answer: 15,625
Answer: E
On a shelf, 2 books of Geology, 2 books of Sociology and 5 of Economics are to be arranged in such a way that the books of any subject are to be together. Find in how many ways can this be done?
Choices.
A) 2880  B) 2778  C) 2682  D) 8222  E) 6282

Solution: Explanation:   There are books of 3 subjects (Geology, Sociology and Economics), hence they can be arranged in 3! (3 * 2 * 1) = 6 ways.   Further, in each category (subject), books are to be arranged in different order, we get,   Required number of ways: 3! * [2! * 2! * 5!] = 2880   2880NSWER: 2880
Answer: A
In what ratio should a variety of oil costing Rs. 9 per ltr be mixed with another variety of oil costing Rs. 17.25 per ltr to obtain a mixture costing Rs. 11.75 per ltr?	Choose the correct answer
A) 4 : 1	B) 1 : 3	C) 3 : 1	D) 1 : 2	E) 2 : 1

Solution: Let us say the ratio of the quantities of cheaper and dearer varieties = x : y   By the rule of allegation, x/y = (17.25 - 11.75) / (11.75 - 9) = 22/11= 
22/11 = 2
2/1   ANSW2 : 1R:2 : 1
Answer: E
A small beaker is 1/2 filled with salt water. Another beaker, which has five times the capacity of the small beaker, is 1/2 filled with fresh water. After dumping all of the salt water from the small beaker into the large beaker, to what fraction of its capacity will the large beaker be filled?  Choose the correct option:
A) 2/5	B) 3/5	C) 3/10	D) 7/20	E) 11/20

Solution: 1/2 of the small beaker is 1/10 of the large beaker.   1/10 + 1/2 = 3/5   The answer is 3/5.
Answer: B
A train 120 m long running at 60 kmph crosses a platform in 35 sec. What is the length of the platform?  Choose the correct choice from the following choices
A) 338 B) 277 C) 463 D) 456 E) 271

Solution: D = 60 * 5/18 = 35 = 583 – 120 = 463   Answer: 463
Answer: C
Two trains running in opposite directions cross a man standing on the platform in 27 seconds and 17 seconds respectively . If they cross each other in 25 seconds, what is the ratio of their speeds? Choose the most appropriate option:
A) 1:3
B) 4:1
C) 2:3
D) 3:2
E) 3:4

Solution: Let the speed of the trains be x and y respectively   length of train1 = 27x   length of train2 = 17y   Relative speed= x+ y   Time taken to cross each other = 25 s   = (27x + 17 y)/(x+y) = 25   = (27x + 17 y)/ = 25(x+y)   = 2x = 8y   =x/y = 8/2= 
8/2 = 4
4/1 i.e 4:1   Answer :4:1
Answer: B
If Jake loses 12 pounds, he will weigh twice as much as his sister. Together they now weigh 156 pounds. What is Jake’s present weight, in pounds?  Choose one:	A) 108	B) 135	C) 139	D) 147	E) 188

Solution: Lets say J is the weight of Jack and S is the wt of his sister.   If he loses 8 pounds, he s twice as heavy as his sister.   J-12=2*S   108lso, together they weight 156 pounds   J+S=156   solvong the 2 equation ,we get J=108 pounds !   108
Answer: A
If the speed of X meters per second is equivalent to the speed of Y meters per minute, what is Y in terms of X? (1 kilometer=1000 meters) Select the correct option:
A) 15x/18
B) 6x/5
C) 18x/5
D) 600x
E) 60x

Solution: x=y/60   y = 60x   Answer : 60x
Answer: E
What is the greatest number of three digits which is divisible by 4, 8, 12 ?  Choose the correct choice from the following answers:	A) 989	B) 999	C) 978	D) 972	E) 984

Solution: Greatest number of 3 digits = 999   LCM of 4, 8, 12 = 24   999 ÷ 24= 41, remainder = 15   Hence, greatest number of four digits which is divisible by 4,8,12   = 999 - 15= 
999 - 15 = 984
984   answer : 984
Answer: E
Three-twentieths of the members of a social club are retirees who are also bridge players, eight-twentieths of the members are retirees, and one-half of the members are bridge players. If 120 of the members are neither retirees nor bridge players, what is the total number of members in the social club?  Pick
A) 240	B) 160	C) 360	D) 400	E) 480

Solution: {Total} = {Retirees} + {160ridge players} - {160oth} + {Neither}   x = 8/20*x + x/2 - 3/20*x + 120   20x = 8x + 10x - 3x + 120*20 (multiply by 20)   15x = 120*20   x = 160   Answer: 160
Answer: B
In how many ways can the letters D, I, G, I, T, K be arranged so that the two I's are not next to each other?
Choose the correct choice from the following answers:
A) 36  B) 48  C) 72  D) 96  E) 240

Solution: 1 D   2 I   1 G   1 T   1 K   Number of ways these letters can be arranged = 6!/2! (2! to account 2 same Is) = 360   Consider 2 Is as 1 entity and thus the number of arrangements for (II)DGT = 5! = 120   Total allowed cases = 360-120= 
360-120 = 240
240   240 is the correct answer.
Answer: E
The contents of a certain box consist of 24 carrots and 30 kiwis. How many kiwis must be added to the box so that exactly 30% of the pieces of fruit in the box will be carrrots?	Choose the most appropriate option
A) 24  B) 26  C) 30  D) 46  E) 50

Solution: carrrots = (carrrots + kiwi + x)*0.3   24 = (30 + 24 + x)*0.3   x = 26.   Answer: 26.
Answer: B
Convert the 12/43 m/s into kilometers per hour?	Answers.
A) 3.5 kmph.
B) 2.5 kmph.
C) 1 kmph.
D) 1.5 kmph.
E) 1.9 kmph.

Solution: 12/43 m/s = 12/43 * 18/5 = 1 (1/250) = 1 kmph.   ANSWER:1 kmph.
Answer: C
How many different positive integers exist between 10^3 and 10^4, the sum of whose digits is equal to 2? Choose the correct choice
A) 6 B) 7 C) 5 D) 4 E) 18

Solution: So, the numbers should be from 1,000 to 10,000   The following two cases are possible for the sum of the digits to be 2:   1. Two 1's and the rest are 0's:   1,001   1,010   1,100   3 numbers.   2. One 2 and the rest are 0's:   2,000   1 number.   Total = 4 numbers.   Answer:4
Answer: D
The average (arithmetic mean) of four distinct positive integers is 20. If the average of the smaller two of these four integers is 24, which of the following represents the maximum possible value of the largest integer?	Choose the correct choice:
A) 8 B) 16 C) 36 D) 20 E) 1

Solution: Let the distinct number be A,B,C, and D   Its given A > B > C > D   also A + B + C + D =80 and A + B = 24 means C + D = 56   Since the question ask for the largest possible number we should choose the least value for A and B,C. So D should be 36. If D=36 then 36 = 20 > A,B <20   Answer : 36
Answer: C
If 10 bulls can plough 20 identical fields in 3 days working 10 hours a day, then in how many days can 30 bulls plough 32 same identical fields working 8 hours a day?  Choose one.
A) 8
B) 7
C) 5
D) 2.0
E) 1

Solution: Explanation:   M1*2.01*W2 = M2*2.02*W1   10*3*10*32 = 30*d*8*20   d = 2 days   ANSWER: 2.0
Answer: D
There are 4 sections with 6 questions each. If two questions are selected from each section, the chance of getting different questions is________  Choose one:
A) 225
B) 245
C) 300
D) 240
E) 289

Solution: we have to select two questions from each section so the chances are 6C4.6C4=225   225NSWER:225
Answer: A
From a group of 7 men and 6 women, five persons are to be selected to form a committee so that at least 3 men are there on the committee. In how many ways can it be done? Pick:	A) 231	B) 756	C) 125	D) 451	E) 123

Solution: We may have (3 men and 2 women) or (4 men and 1 woman) or (5 men only).   Required number of ways	= (7C3 x 6C2) + (7C4 x 6C1) + (7C5)   = (525 + 210 + 21)= 
(525 + 210 + 21) = 756
756.   Ans: 756
Answer: B
Which of the following is between 23/30 and 17/21?  Choose the most appropriate option:  A) 1/3  B) 3/8  C) 1/2  D) 5/8  E) 7/9

Solution: I see this as a POE (Process of Elimination) and Ballparking (Estimation) question. Not sure if this is the most efficient, but it worked:   1) I estimate 23/30 to be ~3/4+ (approximately slightly greater than 3/4)   2) I estimate 17/21 to be ~4/5+ (approximately slightly greater than 4/5)   3) So now I'm looking for an answer choice that is .75 < x < .80   It should be pretty easy to identify which answer choices are less than .75 (or 3/4) if you have had practice with fractions.   A) clearly wrong - it's less than 3/4   B) also clearly wrong - it's less than 3/4   C) also clearly wrong - it's less than 3/4   D) also clearly wrong - it's less than 3/4   I would just stop here and select E. But to verify:   7/9) 7/9 ~ .77 which is greater than .75 and less than .80
Answer: E
A person buys an article at Rs.500. At what price should he sell the article so as to make a profit of 40%?
Select the correct option
A) 600 B) 887 C) 256 D) 654 E) 700

Solution: Cost price = Rs.500   profit = 40% of 500 = Rs.200   Selling price = Cost price + Profit   = 500 + 200= 
500 + 200 = 700
700   Answer: 700
Answer: E
The average of first six prime numbers which are between 50 and 90 is Choose the correct answer
A) 35.4  B) 42  C) 45.7  D) 64  E) 67

Solution: Explanation :   first six prime numbers which are between 50 and 90 = 53, 59, 61, 67, 71, 73   average = (53 + 59 + 61 + 67 + 71 + 73)/6= 
(53 + 59 + 61 + 67 + 71 + 73)/6 = 64
64   Answer : 64
Answer: D
A bicyclist travels uphill from town A to town B for 2 hours at an average speed of 7 miles per hour and returns along the same road at an average speed of 6 miles per hour. What is the bicyclist’s average speed for the round trip, in miles per hour?  Choices
A) (a) 24/5
B) (b) 5
C) (c) 26/5
D) (d) 84/13
E) (e) 28/5

Solution: from the uphill we can find out the distance = 7*2= 
7*2 = 14
14   average speed= total distance/total time   = 28/ (2+ (14/6)) = 84/13   Answer is (d) 84/13.
Answer: D
Two trains are moving at 85 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?	Pick one:
A) 5 25/31 sec	B) 7 1/17 sec	C) 7 2/2 sec	D) 8 1/2 sec	E) 7 1/9 sec

Solution: 70 + 85= 
70 + 85 = 155
155 * 5/18= 775/18 mps   D = 150 + 100= 
150 + 100 = 250
250 m   T= 250 * 18/775 = 180/31 = 5 25/31 sec   5 25/31 secnswer: 5 25/31 sec
Answer: A
In how many ways a group of 5 male and 2 female be made out of a total of 7 male and 3 female? Options: A) 55 B) 78 C) 63 D) 89 E) 98

Solution: req no of ways = 7c5*3c2 = 7*6/2*1 * 3= 
7*6/2*1 * 3 = 63
63   ANSWER 63
Answer: C
The least number which when subtracted from both the terms of the ratio 4 : 5 to give a ratio less than 14 : 23, is	Choose the correct choice from the following:
A) 2  B) 3  C) 4  D) 5  E) 6

Solution: Explanation :   Let x is subtracted. Then, ((4 - x)/(5 - x)) < 14 / 23   23(4 - x) < 14(5 - x) => 9x > 22 = x > 2.4.   Least such number is 3.   Answer : 3
Answer: B
AMS employs 8 professors on their staff. Their respective probability of remaining in employment for 10 years are 0.2, 0.3, 0.4, 0.5, 0.6, 0.7, 0.8, 0.9. The probability that after 10 years at least 8 of them still work in AMS is ? Choose the correct choice from the following answers:
A) 0.19
B) 1.22
C) 0.00363.
D) 0.16
E) none of these

Solution: Asking atleast 6 of them continue ,   it has 3 cases.   1 all 8 professors continue.   1st case all 8 continue is = 2/10*3/10*4/10*5/10*6/10*7/10*/8/10*9/10=   =>0.00363.   0.00363.
Answer: C
A dishonest milkman wants to make a profit on the selling of milk. He would like to mix water (costing nothing) with milk costing Rs.33 per litre so as to make a profit of 30% on cost when he sells the resulting milk and water mixture for Rs.36 In what ratio should he mix the water and milk? Pick one:
A) 1:20 B) 23:120 C) 1:8 D) 1:4 E) 6:11

Solution: water = w (liter)   Milk = m (liter)   ==> Cost = Price x Quantity = 0.33m   ==> Revenue = Price x Quantity = 0.36(m + w)   ==> Profit =0.36(m+w) - 0.33m = 0.3*(0.33m)[30% of cost]   ==> 0.36m + 0.36w - 0.33m = 0.099m   ==> 0.069m = 0.36w   ==> m/w = 0.36/0.069 = 120/23   --OR--   w/m = 23/120   23:120 is correct.
Answer: B
During a certain week, a seal ate 50% of the first 80 smelt it came across, and 30% of the remaining smelt it came across. If the seal ate 40% of the smelt it came across during the entire week, how many smelt did it eat? Answers
A) 32
B) 40
C) 55
D) 64
E) 80

Solution: Total smelt = x.   Then, 0.5*80+0.3(x-80)=0.4*x --> x=160 --> 0.4*x=64.   Answer: 64.
Answer: D
A rectangular park 60 m long and 40 m wide has two concrete crossroads running in the middle of the park and rest of the park has been used as a lawn. The area of the lawn is 2109 sq. m. what is the width of the road?
Select the correct option.
A) 5 M B) 4 M C) 2 M D) 3 M E) 6 M

Solution: AREA OF THE PARK = 60 * 40= 
60 * 40 = 2_400
2400 M^2   GIVEN AREA OF THE LAWN= 2109 M^2   TOTAL AREA OF THE CROSS ROA3 MS = 2400 - 2109= 
2400 - 2109 = 291
291 M^2   ASSUME THAT THE WI3 MTH OF THE CROSS ROA3 M= X   = AREA OF ROA3 M 1 + ROA3 M 2- COMMON AREA CROSS ROA3 M   = 60X + 40 X - X^2   TOTAL AREA OF CROSS ROA3 M = 60X+40X-X^2 = 291 M^2   (X-97)(X-3) = 0   X =3   ANSWER 3 M
Answer: D
A family of 4 brothers and 3 sisters is to be arranged in a row, for a photograph. In how many ways can they be seated if all the sisters not together ?	Choices:
A) 4270
B) 4820
C) 4320
D) 4620
E) 4520

Solution: Since the 3 sisters are inseperable, consider them as one single unit. This together with the 4 brothers make 5 persons who can be arranged among themselves in 5! ways. In everone of these permutations, the 3 sisters can be rearranged among themselves in 3!. Hence the total number of arrangement required = 5!x 3! =120x6=720. The number of arrangements of all the 7 persons without any restriction =7!= 5040 Number arrangement required =5040-720= 
5040-720 = 4_320
4320. Answer : 4320
Answer: C
The avg weight of A,B & C is 55 kg. If D joins the group, the avg weight of the group becomes 60 kg.If another man E who weights is 3 kg more than D Replaces A, Then the avgof B,C,D&E becomes 58 kg. What is the weight of A? Select:
A) 56
B) 65
C) 75
D) 86
E) 90

Solution: A + B + C = 3 *55= 
3 *55 = 165
165   A + B + C + D= 4 * 60= 
4 * 60 = 240
240 ---- (i)   So, D= 75& E = 75 + 3= 
75 + 3 = 78
78   B + C + D +E= 58 * 4= 
58 * 4 = 232
232 --- (ii)   From Eq. (i) & (ii)   A-E= 240 – 232 = 8   A = E +8 = 78 + 8= 
78 + 8 = 86
86   Answer : 86
Answer: D
When a certain number X is divided by 143, the remainder is 45. Which of the following numbers, if added to X, would result in a number divisible by 16? Choose one:
A) 7
B) 10
C) 34
D) 47
E) 55

Solution: So the number given is N = 143Q + 45   If this number is divided by 13, the remainder would be R[(143Q + 45)/13]   Since 143 is divisible by 13 , the product 143Q gives no remainder   This means the remainder of 45/13 should be the remainder of the entire number N   which is 6   To make it divisible by 13 , the smallest number that can be added = 16 - 6= 
16 - 6 = 10
10   Correct Option : 10
Answer: B
A clock shows the time as 9 a.m. If the minute hand gains 5 minutes every hour, how many minutes will the clock gain by 6 p.m.? Pick.
A) 45 minutes B) 55 minutes C) 35 minutes D) 25 minutes E) 40 minutes

Solution: there are 9 hours in between 9 a.m. to 6 p.m.   9*5= 
9*5 = 45
45 minutes.   45 minutesNSWER:45 minutes
Answer: A
A rich aristocrat decided that he would give every man rs.45 and every women Rs.60.Only one nineth of the man and only one twelfth of the women collected their dues .Can u tell me how much money thath aristocrat spent if their were 3552 people in total  Pick: A) 17760 B) 18540 C) 16320 D) 14640 E) 15640

Solution: iman=45 and 1women=60 then 1/9 man=1/9*45= 
1/9*45 = 5
5 and 1/12 of women=1/12*60= 
1/12*60 = 5
5   total people 3552=3552*5= 
3552*5 = 17_760
17760   17760NSWER:17760
Answer: A
Given that A and B are events such that
H(A)= 0.03
H(B)=0.18
H(AnB)=0.18
find H (A|B) and H(A|B)
Choose the correct choice
A) 1/7  B) 1/5  C) 1/3  D) 1/2  E) 1/6

Solution: Here, A and B are events   H(A|B) = H(AnB)/H(B) = 0.18/0.18= 
0.18/0.18 = 1
1   H(A|B)= H(AnB)/H(A) = 0.18/0.03 = 1/6.   Answer is 1/6
Answer: E
12 buckets of water fill a tank when the capacity of each bucket is 81 litres. How many buckets will be needed to fill the same tank, if the capacity of each bucket is 9 litres?	Choose one.
A) 96  B) 110  C) 100  D) 90  E) 108

Solution: Capacity of the tank = (12 Ã— 81) litre   Number of buckets required of capacity of each bucket is 17 litre = 12 Ã—81/9=12Ã—9=108   Answer is 108
Answer: E
If â€˜KARNATAKAâ€™ is coded as â€˜BAIEABABAâ€™, then â€˜BIHARâ€™ is coded as Choose the correct choice from the following answers:  A) BARHI  B) BHARI  C) BHIAR  D) BIHAI  E) BIHAR

Solution: M=13,1+3=4=BIHAI   A=1=A   SIMILARLY,   B=2=B   I=9=I   H=8=H   A=1=A   R=18=1+8= 
1+8 = 9
9=I   SO ANS IS   BIHAI   ANSWER:BIHAI
Answer: D
Of the three numbers, the first is twice as second and three times the third. The average of the three numbers is 33, and the three numbers in order are?
Choose the correct choice from the following choices:  A) 54,27,18  B) 98,49,33  C) 126,63,36  D) 108,54,36  E) None of these

Solution: Explanation :   Solution: Let A =x,   B =x/2, C = x/3.   =x + x/2 + x/3 / 3 = 33   By solving we will get x = 54.   Hence 54,27,18= 54   B= 54/2= 
54/2 = 27
27   C= 54/3= 
54/3 = 18
18   54,27,18nswer : 54,27,18
Answer: A
A circular swimming pool is surrounded by a concrete wall 4ft wide. If the area of the concrete wall surrounding the pool is 11/25 that of the pool, then the radius of the pool is?  Pick one:	A) 10ft	B) 20ft	C) 30ft	D) 40ft	E) 50ft

Solution: Explanation:   let the radius of the pool be Rft   radius of the pool including the wall = (R+4)ft   area of the concrete wall = π[(R + 4)2 - R2] = π[(R + 4 + R)(R + 4 - R)] = 8π(R + 2) sq feet   ⇒ 8π(R + 2) = 11/25πR2 ⇒ 11 R2 = 200(R + 2)   Radius of the pool R = 20ft Answer: 20ft
Answer: B
A certain musical scale has has 13 notes, each having a different frequency, measured in cycles per second. In the scale, the notes are ordered by increasing frequency, and the highest freq is twice the lowest. For each of the 12 lower freq , the ratio of a frequency to the next higher freq is a fixed constant. If the lowest freq is 440 cycles per second, then the freq of the 7th note in the scale is how many cycles/second?  Answers
A) 440 * sqrt 2  B) 440 *2  C) 400 * sqrt 2  D) 320 * sqrt 3  E) None

Solution: let the constant be k   F1 = 440   F2 = 440k   F3 = 440 k * k = 440 * k^2   F13= 440 * k^12   we know F13 = 2 *F1 = 2 * 440 2 * 1= 
2 * 1 = 2
2 * 440= 
2 * 440 = 880
880   880/440= k^12   k = twelfth root of 2   for F7...   F7 = 440 * k^6 ( as we wrote for F2 and F3)   F7 = 440 * (twelfth root of 2) ^ 6   F7 = 440 * sqrt (2)   440 * sqrt 2nswer 440 * sqrt 2
Answer: A
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) 22
B) 30
C) 88
D) 266
E) 121

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:30:
Answer: B
Peter obtained 76, 65, 82, 67 and 95 marks (out of 100) in English, Mathematics, Physics, Chemistry and Biology. What are his average marks? Choose the correct choice:
A) A)87
B) B)99
C) C)68
D) D)82
E) E)75

Solution: Average = (76 + 65 + 82 + 67 + 95)/5   = 385/5= 
385/5 = 77
77.   Answer:75
Answer: E
Manoj borrowed Rs.3750 from Anwar at 6% p.a. simple interest for three years. He then added some more money to the borrowed sum and lent it to Ramu for the same time at 9% p.a. simple interest. If Manoj gains Rs.824.85 by way of interest on the borrowed sum as well as his own amount from the whole transaction, then what is the sum lent by him to Ramu? Choose one:
A) 22877
B) 5555
C) 2778
D) 6787
E) 1771

Solution: Let the sum lent by Manoj to Ramu be Rs.P.   Amount gained by Manoj = P. 3.9 /100 = 3750.3.6/100 = Rs.824.85   27P = 67500 = 82485   P = (82485 + 67500)/27 = 3055 + 2500 = Rs.5555   Answer: 5555
Answer: B
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 20 percent. Which of the following best describes the resulting change in the store's weekly revenue from sales of this style of shoe?  Select the correct option.
A) Revenue decreases by 10%  B) Revenue decreases by 1%  C) There is no change in revenue  D) Revenue increases by 1%  E) Revenue increases by 8%

Solution: Old price = 10, old sales = 10 --> old revenue = 100;   New price = 9, new sales = 12 --> new revenue = 108.   Revenue increased by 8%.   Answer: Revenue increases by 8%
Answer: E
Find avrg speed if a man travels at speed of 16km/hr up and 30km/hr dawn at an altitude of 200m.  Select the correct option:
A) 22.8 B) 21.8 C) 20.8 D) 28.8 E) 29.8

Solution: avg speed=2*x*y/(x+y)   =2*16*30/(16+30)=20.8   ANSWER:20.8
Answer: C
Nine coins are tossed simultaneously. In how many of the outcomes will the third coin turn up a head?	Options.
A) 2^9  B) 2^10  C) 2^8  D) 3 * 2^9  E) 3 * 2^10

Solution: Fix the third coin as H. The remaining 8 coins have 2^8 outcomes.   Ans:2^8
Answer: C
If 8 men or 12 women can do a piece of work in 40 days, in how many days can the same work be done by 6 men and 11 women?
Choose one.
A) 10 days B) 11 days C) 13 days D) 15 days E) 24 days

Solution: 8men = 12women (i.e 2men = 3women)   12women 1 day work= 1/40   soln:   6men(9women)+ 11women=20women=?   1 women 1 day work =12*40= 1/480   so, 20 women work= 20/480=1/24   ans: 24 days   ANSW24 daysR:24 days
Answer: E