Quantitative Aptitude - Arithmetic Ability Questions

Q:

A retirement benefit of $12,000 is to be paid every 6 months for 25 years at interest rate of 7% compounded semi-annually. Find

(a) the present value to fund the end-of-period retirement benefit.

(b) the end-of-period semi-annual payment needed to accumulate  the value in part (a) assuming regular investments for 30 years in an account yielding 8% compounded semi-annually

A) 245678 B) 234689
C) 281468.06 D) 234578
 
Answer & Explanation Answer: C) 281468.06

Explanation:

 

 

 

 

 

 

R=S[i/(1+i)^n-1]

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Filed Under: Compound Interest
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Job Role: Bank PO

0 3502
Q:

Express 3/8 and 1/10 as a Decimals?

A) 1.375 & 1 B) 0.375 & 1
C) 13.75 & 1.1 D) 0.375 & 0.1
 
Answer & Explanation Answer: D) 0.375 & 0.1

Explanation:

3/8 as a Decimal :

In this we should convert the denominator into 10, 100, 1000, 10000, 100000,... to make it simple.

Now to make 8 into 1000, we multiply numerator and denominator with 125

=> 3 x 1258 x 125 = 3751000 = 0.375

 

1/10 as a Decimal :

1 divided into 10 parts of each 0.1.

 

Therefore, 3/8 = 0.375 and 1/10 = 0.1 in decimals.

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Filed Under: Decimal Fractions
Exam Prep: AIEEE , Bank Exams , CAT , GATE
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3 3501
Q:

If  x×y = x + y + xy, the value of 6x24 is:

A) 41 B) 42
C) 43 D) 44
 
Answer & Explanation Answer: B) 42

Explanation:

Given x × y = x + y + xyHere x = 6 , y = 24Then, x × y = 6 + 24 + 6x246 x 24 = 30 + 144= 30 + 12= 42.

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Filed Under: Square Roots and Cube Roots
Exam Prep: AIEEE , Bank Exams , CAT
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7 3501
Q:

A’s salary is 50% more than B’s. How much percent is B’s salary less than A’s?

A) 24.5% B) 29.5%
C) 31.3% D) 33.3%
 
Answer & Explanation Answer: D) 33.3%

Explanation:

Let the salary of B be 100

Salary of A = 150%

B’s salary less than A = (150-100)/150 X 100 = 100/3 = 33.33%

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Filed Under: Percentage
Exam Prep: Bank Exams

2 3500
Q:

48 people could complete a task in 17 days. After 6 days, 4 of the workers left. How many days from then will it take to complete the task?

A) 12 B) 13
C) 15 D) 16
 
Answer & Explanation Answer: A) 12

Explanation:

Given, 48 people can do a work in 17 days. So total work = 48 x 17 = 816
Work done by 48 people in 6 days = 288.

The remaining work = 816 - 288 = 528
After 6 days four workers left. So number of people working is 44
Total number of days required for 44 men to complete the remaining work = 528/44 = 12

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Filed Under: Time and Work
Exam Prep: AIEEE , Bank Exams , CAT

1 3499
Q:

What least number must be substracted from 627349 so that the remaining number is divisible by 15 ?

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

Explanation:

On dividing 627349 by 15, we get remainder = 4.
Therefore, the obtained remainder is the least number to be subtracted from the given number so that the the mnumber is divisible by 15.
Here 4 is the least number to be subtracted from 627349 so that it is divisible by 15.

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Filed Under: Numbers
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5 3495
Q:

What amount must you invest now at 4% compounded monthly to accumulate $10,000 after 3 year

A) 8695 B) 7695
C) 3695 D) 4695
 
Answer & Explanation Answer: A) 8695

Explanation:

Given: j = 4%, m=  12, FV = $10,000, Term=  3.5 years
Then n  =m  *Term  12(3.5)  42

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Filed Under: Compound Interest
Exam Prep: Bank Exams
Job Role: Bank PO

0 3485
Q:

Bob Kashir deposited $6000 in a 4-year certificate of deposite paying 5% compounded daily.He withdrew the money 15 months later.The passbook rate at his bank is 3.5 % compounded daily.Find his amount of interest

A) 5678 B) 4563
C) 4329 D) 6210.73
 
Answer & Explanation Answer: D) 6210.73

Explanation:

Bob receives 15-3 = 12 months of 3.5 % interest compounded daily

 

 

 

M=P(1+i/365)^365n

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