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Q:

Three  cars A, B and C  started  from  a  point at 5  pm, 6  pm  and 7  pm respectively and travelled at uniform speeds of 60 km/hr, 80 km/hr and x km/hr respectively in the same direction. If all the three met at another point at the same instant during their journey, then what is the value of x?

A) 120 B) 110
C) 105 D) 100
 
Answer & Explanation Answer: A) 120

Explanation:

Distance covered by A till 6pm = 60 km

Distance covered by A till 7 pm = 120 km

Time taken by B to catch A = 60/(80-60 ) = 3 hrs

So A and B will meet at 6pm + 3 hrs = 9pm

Since we know that all three met at the same time

The time taken by C to cover 120 km

difference will be  = 9pm –7pm = 2hrs

Therefore,(x –60 )*2 = 120x = 120 km/hr

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Filed Under: Time and Distance
Exam Prep: Bank Exams

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Q:

A man sells two articles. The cost price of the first article is equal to the selling price of the second article. The first article is sold at a profit of 20% and the second articles is sold at a loss of 20%. What is the ratio of the selling price of the first article and the cost price of the second article?

A) 24 : 25 B) 25 : 24
C) 29 : 27 D) 27 : 29
 
Answer & Explanation Answer: A) 24 : 25

Explanation:
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Filed Under: Profit and Loss
Exam Prep: Bank Exams

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Q:

After replacing an old member by a new member, it was found that the average age of five members of a club is the same as it was 3 years ago. The difference between the ages of the replaced and the new members?

A) 16 years B) 15 years
C) 14 years D) 13 years
 
Answer & Explanation Answer: B) 15 years

Explanation:

Let avg ages of 5 members at present is G

And age of new member is m and an older is n

Required = (5G + m - n)/5 = G - 3

m - n = 15 years

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Filed Under: Average
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Q:

The present ages of Pranay and Sai are in the ratio of 15 : 17 respectively. After 6 years, the respective ratio between the age of Pranay and Sai will be 9 : 10. What will be the age of Pranay after 6 years?

A) 42 B) 36
C) 30 D) 24
 
Answer & Explanation Answer: B) 36

Explanation:

Let present age of Pranay = 15p

That of Sai = 17p

ATQ,

15p + 6/17p + 6 = 9/10

=> 150p + 60 = 153p + 54

=> p = 2

Therefore, Age of Pranay after 6 yrs = 15 x 2 + 6 = 36 years.

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Filed Under: Problems on Ages
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Q:

K men agree to donate a gift of Rs. L to trust. If three men drop out how much more will each have to contribute towards the purchase of the gift ?

A) L / (k-3) B) k / (L-3)
C) 2K / 3L-K D) 3L / K(K-3)
 
Answer & Explanation Answer: D) 3L / K(K-3)

Explanation:

Intial contribution = L/K
After 3 men drop, then contribution =L/K-3
The amount more to pay in contribution = LK-3 - LK

 

= 3LK(K-3)

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Filed Under: Numbers
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Q:

Simple Interest received by a person in 10 years on a principal of Rs 9500 is 130% of the principal. What is the rate of interest (in %) per annum?

A) 12 B) 13
C) 15 D) 19
 
Answer & Explanation Answer: B) 13

Explanation:
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Filed Under: Simple Interest
Exam Prep: Bank Exams

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Q:

According to Nomura's Report, India’s GDP growth rate is expected to be around _________ in the financial year 2017-18.

A) 7.6% B) 7.3%
C) 7.8% D) 7.1%
 
Answer & Explanation Answer: D) 7.1%

Explanation:
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Filed Under: Indian Economy
Exam Prep: Bank Exams , CAT
Job Role: Bank Clerk , Bank PO

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Q:

a2 + b2 + c2 -ab- bc - ca = 0, iff

A) abc = -1 B) a = b = c
C) abc = 1 D) abc = 0
 
Answer & Explanation Answer: B) a = b = c

Explanation:

Here given formula is 

a2 + b2 + c2 -ab- bc - ca = 0

and it is possible if and only if a = b = c.

From the trial and error method, 

1) Let a = b = c = 1

Now substitute these values of a, b, c in the above formula.

We get 1 + 1 + 1 - 1 - 1 - 1 = 3 - 3 = 0

 

2) Now, let a = b = c = 4

Now substitute these values of a, b, c in the above formula.

We get 16 + 16 + 16 - 16 - 16 - 16 = 48 - 48 = 0.

 

Hence, it is possible that 

a2 + b2 + c2 -ab- bc - ca = 0 iff  a = b = c.

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Filed Under: Arithmetical Reasoning
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