Quantitative Aptitude - Arithmetic Ability Questions

Q:

A and B can do a work in 4 hours and 12 hours respectively. A starts the work at 6 AM and they work alternately for one hour each. When will the work be completed?

A) 4 days B) 5 days
C) 6 days D) 7 days
 
Answer & Explanation Answer: C) 6 days

Explanation:

Work donee by A and B in the first two hours, working alternatively = First hour A + Second hour B = (1/4) + (1/12) = 1/3.

Thus, the total time required to complete the work  = 2 (3) = 6 days 

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Filed Under: Time and Work

45 24122
Q:

A fort had provision of food for 150 men for 45 days. After 10 days, 25 men left the fort. The number of days for which the remaining food will last, is:

A) 29/5 B) 37/4
C) 42 D) 54
 
Answer & Explanation Answer: C) 42

Explanation:

After 10 days : 150 men had food for 35 days.

 

 

 

Suppose 125 men had food for x days.

 

 

 

Now, Less men, More days (Indirect Proportion)

 

 

 

 125 : 150 :: 35 : x    =>    125 x x = 150 x 35

 

 

 

 =>

 

 

 

=> x = 42.

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38 24109
Q:

Rahul went to purchase a Nokia mobile handset, the shopkeeper told him to pay 20% tax if he asked the bill. Rahul manages to get the discount of 5% on the actual saleprice of the mobile and he paid the shopkeeper Rs. 3325 without tax. Besides he manages to avoid to pay 20% tax on the already  discounted price, what is the amount of discount that he has gotten?

A) 750 B) 375
C) 875 D) 525
 
Answer & Explanation Answer: C) 875

Explanation:

CP = 100, SP (with tax) =120

 

New   SP = 100 - 5 = 95

 

 Effective discount = 120 - 95 = 25 

 

So, at SP of 95 ----> discount = 25

 

and      at SP of 3325 -----> discount = 2595×3325 = 875

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Filed Under: Profit and Loss
Exam Prep: AIEEE , Bank Exams , CAT
Job Role: Bank Clerk , Bank PO

54 24103
Q:

If the arithmetic mean of seventy-five numbers is calculated, it is 35. if each number is increased by 5, then mean of new numbers is :

A) 30 B) 40
C) 50 D) 60
 
Answer & Explanation Answer: B) 40

Explanation:

Let the numbers are x1,x2,.......x75

 

By Hypothesis ,x1+x2+....x7575=35 ......(i)

Mean of new numbers = x1+5+x2+5+.......x75+575

 

x1+x2+......x75+5*7575

 

x1+x2+......x7575+37575=35+5=40 By (i) 

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Filed Under: Average

43 24082
Q:

Select the correct option:

Convert decimal 101 to binary .

A) 1101001 B) 1100111
C) 1101011 D) 1100101
 
Answer & Explanation Answer: D) 1100101

Explanation:
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Filed Under: Numbers
Exam Prep: Bank Exams

0 24032
Q:

A man wants to sell his scooter .There are two offers one at Rs12000 cash and other at a credit of Rs12880 to be paid after 8 months ,money being at 18% per annum which is better offer?

A) Rs.12880 B) Rs.12000
C) Both are equally good D) None of the above
 
Answer & Explanation Answer: B) Rs.12000

Explanation:

PW of Rs.12,880 due 8 months hence  

= Rs. [12880 x 100] / [100+(18 x 8/12)] =Rs.11500 

Clearly 12000 in cash is a better offer.

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Filed Under: True Discount

12 24008
Q:

The tangent at any point of the circle is _________________ to the radius through the point of contact.

 

A) parallel B) intersecting
C) perpendicular D) equal
 
Answer & Explanation Answer: C) perpendicular

Explanation:
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Filed Under: Area
Exam Prep: Bank Exams

0 23976
Q:

In order to obtain an income of Rs. 650 from 10% stock at Rs. 96, one must make an investment of:

A) 3100 B) 6240
C) 6500 D) 9600
 
Answer & Explanation Answer: B) 6240

Explanation:

To obtain Rs. 10,  investment = Rs. 96.

 

To obtain Rs. 650, investment = Rs.96*65010 = Rs. 6240.

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Filed Under: Stocks and Shares

21 23958