Aptitude and Reasoning Questions

Q:

Agra and Delhi are 160 km apart. A train leaves Agra for Delhi and at the same time another train leaves Delhi for Agra. Both the trains meet 5 hrs after they start moving. If the train travelling from Agra to Delhi travels 6 km/hr faster than the other train, find the speed of the faster train? 

A) 19 kmph B) 13 kmph
C) 7 kmph D) 9 kmph
 
Answer & Explanation Answer: A) 19 kmph

Explanation:

Let the speed of the slower train = p kmph

ATQ,

Speed of the faster train = (p + 6) kmph

Then,

(p + p + 6) x 5 = 160

10p + 30 = 160

10p = 130

p = 13 kmph

Then, speed of the faster train = p + 6 = 13 + 6 = 19 kmph.

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Filed Under: Problems on Trains
Exam Prep: AIEEE , Bank Exams , CAT , GATE
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8 4016
Q:

Two numbers are such that the sum of twice the first number and thrice the second number is 36 and the sum of thrice the first number and twice the second number is 39. Find the difference between the numbers?

A) 15 B) 3
C) 9 D) 6
 
Answer & Explanation Answer: A) 15

Explanation:

Let the required two numbers be a, b

From the given data,

2a + 3b = 36 .....(1)

3a + 2b = 39 .....(2)

Now, by solving 1 and 2 eqnts, we get

5a = 45

a = 9 ....(3)

Put (3) in (1), we get

2(9) + 3b = 36

=> 18 + 3b = 36

3b = 36 - 18

=> b = 18/3 = 6

 

Required, difference between the numbers = a + b = 9 + 6 = 15.

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Filed Under: Simplification
Exam Prep: AIEEE , Bank Exams , CAT , GATE
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7 4016
Q:

A number when subtracted by 1/7 th of itself gives the same value as the sum of all the angles of a triangle. What is the number?

A) 420 B) 210
C) 70 D) 35
 
Answer & Explanation Answer: B) 210

Explanation:

Let the required number be 'p'

We know, sum of angles in a triangle are 180 deg

According to given data,

p - p/7 = 180

7p - p = 180 x 7

=> 6p = 1260

=> p = 1260/6 = 210

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Filed Under: Problems on Numbers
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4 4016
Q:

A bucket contains a mixture of two liquids A and B in the proportion 7: 5. If 9 litres of the mixture is replaced by 9 litres of liquid B, then the ratio of the two liquid becomes 7: 9. How much of the liquid A was there in the bucket ?

A) 21 litres B) 15 litres
C) 23 litres D) 18 litres
 
Answer & Explanation Answer: A) 21 litres

Explanation:

Suppose the two liquids A and B are 7x litres and 5x litres respectivel Now, when 9 litres of mixture are taken out,

Now, when 9 liters of liquid B are added

 

 

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Filed Under: Alligation or Mixture
Exam Prep: AIEEE , Bank Exams , GATE

9 4011
Q:

Sum of two numbers is 44. One number is 3 times as large as the other. What are the numbers?

A) 11 and 4 B) 3 and 11
C) 11 and 33 D) 40 and 4
 
Answer & Explanation Answer: C) 11 and 33

Explanation:

Let the smaller number be 'm'

Then, from the given data, the larger number is '3m'

Given that m + 3m = 44

=> 4m = 44

m = 44/4 = 11

=> m = 11

=> 3m = 3 x 11 = 33

 

Hence, the two numbers are 11 and 33.

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Filed Under: Problems on Numbers
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9 4010
Q:

5% of 40,000 is

A) 20000 B) 2000
C) 200 D) 20
 
Answer & Explanation Answer: B) 2000

Explanation:

5% of 40,000  = 5100 × 40,000 = 5 × 400 = 2,000  

 

Hence, 5% of 40,000 = 2,000.

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Filed Under: Percentage
Exam Prep: CAT , Bank Exams , AIEEE
Job Role: Bank PO , Bank Clerk , Analyst

7 4007
Q:

If the city bus which runs between Ramnagar and Sant colony is extended to vasant vihar,it will be convenient . Appeal of residents of ramnagar to city bus company

Assumptions:

1. The convenience of city bus company is much more important than the needs of consumers

2. The city bus company is indifferent to the aspirations of the residents of Sant colony

A) Only 1 is true B) Only 2 is true
C) Neither 1 nor 2 is true D) Both 1 and 2 follow
 
Answer & Explanation Answer: C) Neither 1 nor 2 is true

Explanation:

Clearly the city bus company is intended  to provide bus services according to the needs as per local residents and not as per their own convenience.So 1 is not true.In the same way 2 is not true

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Filed Under: Statement and Assumptions
Exam Prep: GRE

0 4007
Q:

Pointing to a woman, a girl says,"She is mother of the only child of my father-in-law." How is the woman related to the girl?

A) Mother-in-law B) Granddaughter
C) Mother D) Cousin
 
Answer & Explanation Answer: A) Mother-in-law

Explanation:
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Filed Under: Blood Relations
Exam Prep: Bank Exams

4 4005