Quantitative Aptitude - Arithmetic Ability Questions

Q:

If Raj was one-third as old as Rahim 5 years back and Raj is 17 years old now, How old is Rahim now?

A) 40 B) 41
C) 36 D) 48
 
Answer & Explanation Answer: B) 41

Explanation:

Raj’s age today = 17 decades,
Hence, 5 decades back, he must be 12 years old.
Rahim must be 36 years old, Because (3×12).
5 years back Rahim must be 41 years old today. Because (36+5).

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Filed Under: Problems on Ages

34 16042
Q:

If the cost price of a certain object doubles, then the loss gets tripled of what it was initially. The initial loss % was ?

A) 0 % B) 25 %
C) 75 % D) 50 %
 
Answer & Explanation Answer: D) 50 %

Explanation:

Let the cost price be x and selling price be y.
Loss = x – y

 

When the cost price doubles, the loss gets tripled.
So it becomes like this, 2x – y = 3(x-y)

=> x = 2y

 

Loss % = (loss/ C.P) x 100 = [(2y-y)/2y] x 100= 50 %

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Filed Under: Profit and Loss
Exam Prep: CAT
Job Role: Bank PO

24 16040
Q:

Two trains having equal lengths, take 10 seconds and 15 seconds respectively to cross a post. If the length of each train is 120 meters, in what time (in seconds) will they cross each other when traveling in opposite direction?

A) 10 B) 25
C) 12 D) 20
 
Answer & Explanation Answer: C) 12

Explanation:

Speed of train 1 = 12010m/sec = 12 m/sec 

Speed of train 2 =12015m/sec  = 8 m/sec 

if they travel in opposite direction, relative speed = 12 + 8 = 20 m/sec

distance covered = 120 + 120 = 240 m

time = distance/speed = 240/20 = 12 sec

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Filed Under: Problems on Trains

22 16035
Q:

The true discount on a bill of Rs. 2160 is Rs. 360. What is the banker's discount?

A) Rs. 432 B) Rs. 422
C) Rs. 412 D) Rs. 442
 
Answer & Explanation Answer: A) Rs. 432

Explanation:

F = Rs. 2160

TD = Rs. 360

PW = F - TD = 2160 - 360 = Rs. 1800

True Discount is the Simple Interest on the present value for unexpired time

=>Simple Interest on Rs. 1800 for unexpired time = Rs. 360

Banker's Discount is the Simple Interest on the face value of the bill for unexpired time

= Simple Interest on Rs. 2160 for unexpired time

=(360/1800)* 2160

= (1/5) * 2160

=Rs. 432

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Filed Under: Banker's Discount

3 16034
Q:

In the following question, select the related number from the given alternatives.

8 : 27 : : 64 : ?

A) 190 B) 144
C) 125 D) 72
 
Answer & Explanation Answer: C) 125

Explanation:
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Filed Under: Ratios and Proportions

0 16033
Q:

The average of any 5 consecutive odd natural numbers is k . If two more such numbers , just next to the previous 5 numbers are added , the new average becomes

A) 2(k+1) B) 2k-3
C) 2k+1 D) k+2
 
Answer & Explanation Answer: D) k+2

Explanation:

The 5 consecutive odd numbers whose average is k are  (k-4), (k-2), k, (k+2), (k+4)

Again the average of (k-4), (k-2), k, (k+2), (k+4), (k+6), (k+8) is (k+2)

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Filed Under: Average

14 16021
Q:

If July 9th,2013 falls on Sunday then Jan 7th,2014 falls on which day?

A) Sunday B) Saturday
C) Monday D) Friday
 
Answer & Explanation Answer: A) Sunday

Explanation:

 

First,we count the number of odd days for the left over days in the given period.Here,given period is 09-07-2013 to 07-01-2014

Month Jul Aug Sep Oct Nov Dec Jan
Days 22 31 30 31 30 31 7
Odd Days 1 3 2 3 2 3 0

 Therefore, No. of Odd Days =  1 + 3 + 2 + 3 + 2 + 3 + 0 = 14 = 0 odd days

So, given day Sunday + 0 = Saturday is the required result.

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Filed Under: Calendar

86 15992
Q:

Which of the given options is the pattern of the sequence 1, 5, 11, 19, 29?

 

A) x2 + x - 1 B) x2 + x + 1
C) x2 + x - 2 D) x2 - x - 1
 
Answer & Explanation Answer: A) x2 + x - 1

Explanation:
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Filed Under: Problems on Numbers
Exam Prep: Bank Exams

1 15990