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 Quantitative Aptitude - Arithmetic Ability Questions

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Q:

On selling 17 balls at Rs.720 there is a loss equal to the cost price of 5 balls. Then what is the cost price of a ball is ?

Answer

From given data,


(C.P. of 17 balls) - (S.P. of 17 balls) = (C.P. of 5 balls)


C.P. of 12 balls = S.P. of 17 balls = Rs.720.


Hence, C.P. of 1 ball = Rs.720/12 = Rs. 60.

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Subject: Profit and Loss Exam Prep: AIEEE , Bank Exams , CAT , GATE
Job Role: Bank Clerk , Bank PO

11 3718
Q:

Based on the analogy given, find the missing number from the given options.

 

11 : 13 :: 17 : ___

 

A) 29 B) 21
C) 19 D) 23
 
Answer & Explanation Answer: D) 23

Explanation:
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Filed Under: Ratios and Proportions
Exam Prep: Bank Exams

1 3713
Q:

The median of the data 1, 1/2, 1/2, 3/4, 1/4, 2, 1/2, 1/4, 3/4 is

 

A) 1/4 B) 1/2
C) 1/6 D) 3/4
 
Answer & Explanation Answer: B) 1/2

Explanation:
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Filed Under: Average
Exam Prep: Bank Exams

0 3709
Q:

A secret can be told to only 3 persons in 3 minutes. Each person in turn tells 3 other persons in the next 3 minutes and the processes continues accordingly. In 30 minutes how many persons can be told this secret in this way ?

A) 88572 B) 77854
C) 99584 D) 55654
 
Answer & Explanation Answer: A) 88572

Explanation:

Given a secret is told to 3 persons in 3 minutes.
And if the process continues with each person saying 3 other persons,
In 30 minutes => the rocess for 10 times because each person time is 3 minutes.
Required number of persons = 3 + 32 + 33 + .... + 39 + 310

 

Now it forms a geometric progression,

 

Sum to n terms is S = arn - 1r - 1

 

Here a = 3, r = 3

 
=> 59048 x 3 /2

 

= 88572.

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Filed Under: Simplification
Exam Prep: GRE , GATE , CAT , Bank Exams , AIEEE
Job Role: Bank PO , Bank Clerk

5 3700
Q:

Akhil after travelling 50 km meets Raju who suggests him to go slower. He then proceeds at ¾ of his former speed and arrives at his destination 35 minutes late. Had the meeting occurred 24 km further Akhil would have reached its destination 25 minutes late. What is the initial speed of Akhil?

 

A) 48 kmph B) 36 kmph
C) 24 kmph D) 20 kmph
 
Answer & Explanation Answer: A) 48 kmph

Explanation:

Let the initial speed of Akhil be '4p' kmph

Then speed after decrease in speed = '3p' kmph

We know that, 

Change in speed == Change in time

According to the given data,

243p - 244p = 35 - 2560=> p = 12

 

Hence, the initial speed of Akhil = 4p = 4 x 12 = 48 kmph.

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Filed Under: Time and Distance
Exam Prep: AIEEE , Bank Exams , CAT , GATE
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14 3698
Q:

On Rs. 3500 invested at a simple interest rate of 7 per cent per annum, Rs. 500 is obtained as interest in certain years. In order to earn Rs. 800 as interest on Rs. 4900 in the same number of years, what should be the rate of simple interest?

A) 8% B) 7.5%
C) 9% D) 8.5%
 
Answer & Explanation Answer: A) 8%

Explanation:

From the given data,

3500x7xt/100 = 500

=> t = 100/49 years

Now, in the second case

The interest per year = 49/100 x 800 = 392

 => 4900 x 1 x r/100 = 392

=> r = 8%

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Filed Under: Simple Interest
Exam Prep: AIEEE , Bank Exams , CAT , GATE
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9 3695
Q:

In a 200 metres race A beats B by 35 m or 7 seconds. A's time over the course is:

A) 40 sec B) 47 sec
C) 33 sec D) None of these
 
Answer & Explanation Answer: C) 33 sec

Explanation:

B runs 35 m in 7 sec.

 

 B covers 200 m in (7/35*200) = 40sec

 

B's time over the course = 40 sec.

 

 A's time over the course (40 - 7) sec = 33 sec.

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Filed Under: Races and Games

2 3695
Q:

Tilak rides on a cycle to a place at speed of 22 kmph and comes back at a speed of 20 kmph. If the time taken by him in the second case is 36 min. more than that of the first case, what is the total distance travelled by him (in km)?

A) 132 km B) 264 km
C) 134 km D) 236 km
 
Answer & Explanation Answer: B) 264 km

Explanation:

Let the distance travelled by Tilak in first case or second case = d kms

Now, from the given data,

d/20 = d/22 + 36 min

=> d/20 = d/22 + 3/5 hrs

=> d = 132 km.

 

Hence, the total distance travelled by him = d + d = 132 + 132 = 264 kms.

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Filed Under: Time and Distance
Exam Prep: AIEEE , Bank Exams , CAT , GATE
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5 3690