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Amazon Aptitude Paper 1


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Amazon Aptitude Paper 1 - Question 1

A student got twice as A student got twice as many sums wrong as he got right. If he attempted 48 sums in all, how many did he solve correctly? many sums wrong as he got right. If he attempted 48 sums in all, how many did he solve correctly?

Detailed Solution for Amazon Aptitude Paper 1 - Question 1

Suppose the boy got x sums right and 2x sums wrong. Then, x + 2x = 48 3x = 48 x = 16.

Amazon Aptitude Paper 1 - Question 2

A man fixed an appointment to meet the manager, Manager asked him to come two days after the day before the day after tomorrow. Today is Friday. When will the manager expect him?

Detailed Solution for Amazon Aptitude Paper 1 - Question 2

Do not confuse it with Tuesday.the correct answer is Monday

Amazon Aptitude Paper 1 - Question 3

There is a merry-go-round race going on.One person says,"1/3 of those in front of me and 3/4 of those behind me, give the total number of children in the race". Then the number of children took part in the race?

Detailed Solution for Amazon Aptitude Paper 1 - Question 3

Assume there are x participants in the race. In a round race, number of participants in front of a person wil be x-1 and that behind him wil be x-1. i.e, 1/3(x-1) + 3/4(x-1) = x solving x = 13

Amazon Aptitude Paper 1 - Question 4

Find the value of X,Y and Z in the following

X X X X
Y Y Y Y
Z Z Z Z
................
Y X X X Z

Amazon Aptitude Paper 1 - Question 5

The smallest number which when diminished by 7, is divisible 12, 16, 18, 21 and 28 is:

Detailed Solution for Amazon Aptitude Paper 1 - Question 5

Required number = (L.C.M. of 12,16, 18, 21, 28) + 7 = 1008 + 7 = 1015

Amazon Aptitude Paper 1 - Question 6

The ratio of two numbers is 3 : 4 and their H.C.F. is 4. Their L.C.M. is

Detailed Solution for Amazon Aptitude Paper 1 - Question 6

Let the numbers be 3x and 4x. Then, their H.C.F. = x. So, x = 4. So, the numbers 12 and 16. L.C.M. of 12 and 16 = 48.

Amazon Aptitude Paper 1 - Question 7

252 can be expressed as a product of primes as:

Detailed Solution for Amazon Aptitude Paper 1 - Question 7

Clearly, 252 = 2 x 2 x 3 x 3 x 7.

Amazon Aptitude Paper 1 - Question 8

21, 9, 21, 11, 21, 13, 21, .......

Detailed Solution for Amazon Aptitude Paper 1 - Question 8

In this alternating repetition series, the random number 21 is interpolated every other number into an otherwise simple addition series that increases by 2, beginning with the number 9.

Amazon Aptitude Paper 1 - Question 9

Two trains, one from Howrah to Patna and the other from Patna to Howrah, start simultaneously. After they meet, the trains reach their destinations after 9 hours and 16 hours respectively. The ratio of their speeds is

Detailed Solution for Amazon Aptitude Paper 1 - Question 9

Let us name the trains as A and B. Then, (As speed) : (Bs speed) = b : a = 16 : 9 = 4 : 3.

Amazon Aptitude Paper 1 - Question 10

If a and b are positive integers and (a-b)/3.5 = 4/7, then

Amazon Aptitude Paper 1 - Question 11

If 5 women or 8 girls can do a work in 84 days. In how many days can 10 women and 5 girls can do the same work ?

Detailed Solution for Amazon Aptitude Paper 1 - Question 11

Given that 5 women is equal to 8 girls to complete a work so, 10 women=16 girls. Therefore 10women +5girls=16girls+5girls=21girls. 8 girls can do a work in 84 days then 21 girls= (8*84/21)=32days. Therefore 10 women and 5 girls can a   work in 32days

Amazon Aptitude Paper 1 - Question 12

SECTION-1 If 9 men working 6 hours a day can do a work in 88 days. Then 6 men working 8 hours a day can do it in how many days?

Detailed Solution for Amazon Aptitude Paper 1 - Question 12

If men is fixed,work is proportional to time. If work is fixed, then time is inversely proportional to men therefore, (M1*T1/W1)=(M2*T2/W2) From the above formula i.e (m1*t1/w1)=(m2*t2/w2) so (9*6*88/1)=(6*8*d/1) on solving, d=99   days.

Amazon Aptitude Paper 1 - Question 13

Walking at 3/4 of his usual speed ,a man is late by 2 1/2 hr. the usual time is

Detailed Solution for Amazon Aptitude Paper 1 - Question 13

Usual speed = S Usual time = T Distance = D New Speed is 3/4 S New time is 4/3 T 4/3 T, T = 5/2 T=15/2 = 7 1/2

Amazon Aptitude Paper 1 - Question 14

In a boat 25 persons were sitting. Their average weight increased one kilogram when One man goes and a new man comes in. The weight of the new man is 70kgs. Find the Weight of the man who is going ?

Detailed Solution for Amazon Aptitude Paper 1 - Question 14

Weight increased per person is 1 kg. Total increase in weight = 25 kgs Weight of new man is 70 kgs, (Which means his weight is 25 kgs heavier) The weight of the old man was 70 - 25 = 45 kgs

Amazon Aptitude Paper 1 - Question 15

A man can row 4.5 km/hr in still water. It takes him twice as long to row upstream as to row downstream. What is the rate of the current ?

Detailed Solution for Amazon Aptitude Paper 1 - Question 15

Speed of boat in still water (b) = 4.5 km/hr. Speed of boat with stream (Down Stream), D = b + u Speed of boat against stream (Up stream), U = b – u It is given upstream time is twice to that of down stream. ⇒ Downstream speed is twice   to that of upstream. So b + u = 2(b – u) ⇒ u =b/3 = 1.5 km/hr.

Amazon Aptitude Paper 1 - Question 16

A sum of money amounts to Rs. 9800 after 5 years and Rs. 12005 after 8 years at the same rate of simple interest. The rate of interest per annum is

Detailed Solution for Amazon Aptitude Paper 1 - Question 16

S.I. for 3 years = Rs. (12005 - 9800) = Rs. 2205. S.I. for 5 years = Rs. (2205/3) x 5 = Rs. 3675 Principal = Rs. (9800 - 3675) = Rs. 6125. Hence, rate = (100 x 3675)/( 6125 x 5) % = 12%

Amazon Aptitude Paper 1 - Question 17

A man starts walking at 3 pm . he walks at a speed of 4 km/hr on level ground and at a speed of 3 km/hr on uphill , 6 km/hr downhill and then 4 km/hr on level ground to reach home at 9 pm. What is the distance covered on one way?

Detailed Solution for Amazon Aptitude Paper 1 - Question 17

lets us consider t1 = time taken on level road. t2 = uphill. t3 = down hill; the distance traveled uphill and down hill same so t2*3 = 6*t3; => t2 = 2t3;---> (1) total time = 2*t1 + t2 + t3 = 6 hours ---> (2) 2t1+3t3 = 6 -->(3) total distance   = 2*(4t1) + 3*t2+ 6*t3 ---> (4) substitute (1) in (4) 8t1 + 12t3 => 4(2t1+3t3) then from (3) the total distance will become 4*6= 24 => one way distance = 12km

Amazon Aptitude Paper 1 - Question 18

In a group of cows and hens, the number of legs are 14 more than twice the number of heads. The number of cows is

Detailed Solution for Amazon Aptitude Paper 1 - Question 18

Let the number of cows be x and the number of hens be y. Then, 4x + 2y = 2 (x + y) + 14 4x + 2y = 2x + 2y + 14 2x = 14 x = 7.

Amazon Aptitude Paper 1 - Question 19

I have a few sweets to be distributed. If I keep 2, 3 or 4 in a pack, I am left with one sweet. If I keep 5 in a pack, I am left with none. What is the minimum number of sweets I have to pack and distribute ?

Detailed Solution for Amazon Aptitude Paper 1 - Question 19

Clearly, the required number would be such that it leaves a remainder of 1 when divided by 2, 3 or 4 and no remainder when divided by 5.

Amazon Aptitude Paper 1 - Question 20

2 trains starting at the same time 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 ?

Detailed Solution for Amazon Aptitude Paper 1 - Question 20

In same time ,they cover 110 km & 90 km respectively so ratio of their speed =110:90 = 11:9

Amazon Aptitude Paper 1 - Question 21

If 9x-3y=12 and 3x-5y=7 then 6x-2y = ?

Detailed Solution for Amazon Aptitude Paper 1 - Question 21

Consider 9x - 3y = 12.........divide both sides by 3: 3x - y = 4............now multiply both sides by 2: 6x - 2y = 8 So, it`s (d)

Amazon Aptitude Paper 1 - Question 22

Two bus tickets from city A to B and three tickets from city A to C cost Rs. 77 but three tickets from city A to B and two tickets from city A to C cost Rs. 73. What are the fares for cities B and C from A ?

Detailed Solution for Amazon Aptitude Paper 1 - Question 22

Let Rs. x be the fare of city B from city A and Rs. y be the fare of city C from city A. Then, 2x + 3y = 77 ...(i) and 3x + 2y = 73 ...(ii) Multiplying (i) by 3 and (ii) by 2 and subtracting, we get: 5y = 85 or y = 17. Putting y = 17 in (i), we get: x = 13.

Amazon Aptitude Paper 1 - Question 23

The total of the ages of Amar,  Akbar and Anthony is 80 years. What was the total of their ages three years ago ?

Detailed Solution for Amazon Aptitude Paper 1 - Question 23

Required sum = (80 - 3 x 3) years = (80 - 9) years = 71 years.

Amazon Aptitude Paper 1 - Question 24

A man took loan from a bank at the rate of 12% p.a. simple interest. After 3 years he had to pay Rs. 5400 interest only for the period. The principal amount borrowed by him was.

Detailed Solution for Amazon Aptitude Paper 1 - Question 24

Principal = Rs. (100 x 5400)/(12*3) = Rs. 15000.

Amazon Aptitude Paper 1 - Question 25

The total age of A & B is 12 years more than the total age of B & C. C is how many year younger than A.

Detailed Solution for Amazon Aptitude Paper 1 - Question 25

From the given data A+B = 12+(B+C) A+B-(B+C) = 12 A-C=12 years. C is 12 years younger than A

Amazon Aptitude Paper 1 - Question 26

The present age of a father is 3 years more than three times the age of his son.Three years hence,father as age will be 10 years more than twice the age of the son.Find the present age of the father.

Detailed Solution for Amazon Aptitude Paper 1 - Question 26

Let the present age be x years. Then fathers present age is 3x+3 years. Three years hence (3x+3)+3=2(x+3)+10 x=10 Hence fathers present age = 3x+3 =[ (3 x 10) + 3] = 33 years.

Amazon Aptitude Paper 1 - Question 27

In one hour a boat goes 11 km long the stream and 5 km against the stream.The speed of the boat in still water is?

Detailed Solution for Amazon Aptitude Paper 1 - Question 27

Speed in still water A = ½ ( 11+5) km/hr A= 8 kmph

Amazon Aptitude Paper 1 - Question 28

A train 110 m long travels at 60 kmph. How long does it take to pass a telegraph post by the side of the track ?

Detailed Solution for Amazon Aptitude Paper 1 - Question 28

Speed of train = 60 - 5/18 m/s = 50/3 m/s, Time taken to cross the telegraph post = 110/(50/3) = 6.6 seconds

Amazon Aptitude Paper 1 - Question 29

The average ages of three persons is 27 years. Their ages are in the proportion of 1:3:5. What is the age in years of the youngest one among them ?

Detailed Solution for Amazon Aptitude Paper 1 - Question 29

Let the age of three persons be x, 3x and 5x => 9x/3 = 27 = > x = 9

Amazon Aptitude Paper 1 - Question 30

The greatest number of four digits which is divisible by 15, 25, 40 and 75 is:

Detailed Solution for Amazon Aptitude Paper 1 - Question 30

Greatest number of 4-digits is 9999. L.C.M. of 15, 25, 40 and 75 is 600. On dividing 9999 by 600, the remainder is 399. Required number (9999 - 399) = 9600.

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