Aptitude and Reasoning Questions

Q:

Find the number of ways in which 21 balls can be distributed among 3 persons such that each person does not receive less than 5 balls.

A) 28 B) 14
C) 21 D) 7
 
Answer & Explanation Answer: A) 28

Explanation:

Let x, y, z be the number of balls received by the three persons, then

  

x5, y5, z5 and x+y+z=21

 

Let u0, v0, w0 then

 

 x + y + z =21

 

 u + 5 + v + 5 + w + 5 = 21

 

 u + v + w = 6 

 

Total number of solutions = C3-16+3-1=C28=28

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18 8711
Q:

A man spend Rs. 810 in buying trouser at Rs. 70 each and shirt at Rs. 30 each. What will be the ratio of trouser and shirt when the maximum number of trouser is purchased ?

A) 1:3 B) 2:1
C) 3:2 D) 2:3
 
Answer & Explanation Answer: C) 3:2

Explanation:

Let us assume S as number of shirts and T as number of trousers
Given that each trouser cost = Rs.70 and that of shirt = Rs.30
Therefore, 70 T + 30 S = 810
=> 7T + 3S = 81......(1)
T = ( 81 - 3S )/7

We need to find the least value of S which will make (81 - 3S) divisible by 7 to get maximum value of T
Simplifying by taking 3 as common factor i.e, 3(27-S) / 7
In the above equation least value of S as 6 so that 27- 3S becomes divisible by 7

Hence T = (81-3xS)/7 = (81-3x6)/7 = 63/7 = 9

Hence for S, put T in eq(1), we get
S = 81-7(9)/3 = 81-63 / 3 = 18/3 = 6.
The ratio of T:S = 9:6 = 3:2.

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Filed Under: Ratios and Proportions
Exam Prep: AIEEE , Bank Exams , CAT , GATE
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14 8710
Q:

k, l, m together started a business. k invested Rs.6000 for 5 months l invested Rs.3600 for 6 months and m Rs.7500 for 3 months. If they get a total profit of Rs.7410. Find the share of l ?

A) Rs. 1640 B) Rs. 2500
C) Rs. 2160 D) Rs. 3000
 
Answer & Explanation Answer: C) Rs. 2160

Explanation:

=> 60x5 : 36x6 : 75x3

=> 100 : 72 : 75

=> 72/247 x 7410 = Rs. 2160

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Filed Under: Partnership
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5 8700
Q:

Ramu rides his bike at an average speed of 45 km/hr and reaches his desitination in four hours. Somu covers the same distance in six hours. If Ramu covered his journey at an average speed which was 9 km/hr less and Somu covered his journey at an average speed which was 10 km/hr more, then the difference in their times taken to reach the destination would be (in minutes).

A) 18 min B) 30 min
C) 27 min D) 32 min
 
Answer & Explanation Answer: B) 30 min

Explanation:

Distance travelled by Ramu = 45 x 4 = 180 km

Somu travelled the same distance in 6 hours.

His speed = 180/6 = 30 km/hr

Hence in the conditional case, Ramu's speed = 45 - 9 = 36 km/hr and Somu's speed = 30 + 10 = 40km/hr.

Therefore travel time of Ramu and Somu would be 5 hours and 4.5 hours respectively.

Hence difference in the time taken = 0.5 hours = 30 minutes.

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Filed Under: Time and Distance
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6 8700
Q:

How many meshes are there in 1 squrare meter of wire gauge if each mesh is 8mm long and 5mm wide ?

A) 2500 B) 25000
C) 12500 D) 15400
 
Answer & Explanation Answer: B) 25000

Explanation:

We know that,

 

One square meter is equal to 10,00,000 sq mm.
Given, each mesh is 8mm length and 5mm wide
Therefore for each mesh : 8 x 5 = 40 sq mm.
So, number of meshes = 100000040 = 25000.

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Filed Under: Volume and Surface Area
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6 8699
Q:

Study the following diagram and answer questions based on it.

 

The colour preferences of children are given.

 

 

How many children like both brown and white but not black?

 

A) 10 B) 20
C) 50 D) None
 
Answer & Explanation Answer: D) None

Explanation:
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Filed Under: Pie Charts
Exam Prep: Bank Exams

1 8693
Q:

Choose the correct alternative that will continue the same pattern and replace 'x' in given series 1,2,6,15,31,56,x

A) 65 B) 78
C) 81 D) 92
 
Answer & Explanation Answer: D) 92

Explanation:

The pattern is + 1*1,+ 2*2, +3*3, + 4*4,+ 5*5,+ 6*6, . . . . . . .
So missing term is 56+36=92

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Filed Under: Number Series

12 8693
Q:

How many A's are there in the following sequence which are immediately followed by B as well as immediately preceded by Z?

 

A M B Z A N A A B Z A B A Z B A P Z A B A Z A B 

A) Three B) Two
C) One D) More than three
 
Answer & Explanation Answer: A) Three

Explanation:

The letter A satisfying the following Structure ZAB

 

A M B Z A N A A B Z A B A Z B A P Z  A B A Z A B 

 

Answer (A) is correct

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Filed Under: Alphabet Test
Exam Prep: AIEEE , Bank Exams , CAT

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