Quantitative Aptitude - Arithmetic Ability Questions

Q:

You deposit $600 into a 6 month certificate of deposit. After 6 months the balance is $618. Find the simple annual interest rate.

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

Explanation:

I=prt

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Filed Under: Simple Interest
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Q:

In how many ways the letters of the word 'CIRCUMSTANCES' can be arranged such that all vowels came at odd places and N always comes at end?

A) 1,51,200 ways. B) 5,04,020 ways
C) 72,000 ways D) None of the above
 
Answer & Explanation Answer: A) 1,51,200 ways.

Explanation:

In circumcstances word there are 3C's, 2S's, I, U,R, T, A, N, E

Total = 13 letters

But last letter must be N

Hence, available places = 12

In that odd places = 1, 3, 5, 7, 9, 11

Owvels = 4

This can be done in 6P4 ways 

Remaining 7 letters can be arranged in 7!/3! x 2! ways

 

Hence, total number of ways = 6P4 x 7!/3! x 2! = 360 x 5040/12 = 1,51,200 ways.

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Filed Under: Permutations and Combinations
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Q:

When a number is divided by 138 the remainder is 26. What will be the remainder if the same number is divided by 23 ?

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

Explanation:

Number = quotient x divisor + remainder;
so, here
number = 138 k + 26
=> (23 x 6k) + (23+3)
=> 23(6k+1)+3
so, remainder is 3.

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Filed Under: Numbers
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Q:

A text book of mathematics cost 2 Rs/- more than a text book of literature. If 5 literature books cost 38 Rs/- more than 3 mathematics books, what is the cost of each literature book?

A) 44 B) 22
C) 24 D) 11
 
Answer & Explanation Answer: B) 22

Explanation:

Let each literature text book cost be Rs. X

Then, cost of mathematics text book = Rs. (X + 2)

ATQ,

5X = 38 + 3(X + 2)

5X = 38 + 3X + 6

2X = 44

X = 22.

 

Therefore, cost of each literature text book = Rs. X = Rs. 22.

And that of masthematics = X + 2 = Rs. 24.

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Filed Under: Problems on Numbers
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3 3296
Q:

5 + 2 x 10 =

A) 70 B) 20
C) 25 D) 52
 
Answer & Explanation Answer: C) 25

Explanation:

According to BODMAS rule,

After multiplication only, addition is done.

Hence,

5 + 2 x 10 = 5 + 20 = 25.

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Q:

Other things being equal, would an investor prefer an interest rate of 10.5% compounded monthly or 11% compounded annually for a two-year investment?

A) 1232 B) 1243
C) 1254 D) 1262
 
Answer & Explanation Answer: A) 1232

Explanation:

i=j/m

 

FV=  PV(1+  i)^n 

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Filed Under: Compound Interest
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Q:

What is the unit digit of (217)413 × (819)547 × (414)624 × (342)812?

A) 2 B) 4
C) 6 D) 8
 
Answer & Explanation Answer: D) 8

Explanation:
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Filed Under: Problems on Numbers
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Q:

The average weight of 50 boys in a class is 45 Kg. When one boy leaves the class, the average reduces by 100g. Find the weight of the boy who left the class.

A) 50 Kg B) 50.8 Kg
C) 49 Kg D) 49.9 Kg
 
Answer & Explanation Answer: D) 49.9 Kg

Explanation:

Total weight of 50 boys = 45 X 50 = 2250

Average weight of 49 boys = 44.9

Total weight of 49 boys = 44.9 X 49 = 2200.1

Weight of boy who left the class=2250–2200.1=49.9

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Filed Under: Average

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