Numbers - Arithmetic Aptitude Questions and Answers

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$\frac { (489+375)^2-(489-375)^2 } {(489*375) }=?$

A.

144

B.

864

C.

2

D.

4

E.

None of these

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Answer : Option D

Explanation :

Given Exp. = $\frac {(a+b)^2-(a-b)^2 } { ab }$ = $\frac {4ab } { b }$ =4

397 x 397 + 104 x 104 + 2 x 397 x 104 = ?

A.

250001

B.

251001

C.

260101

D.

261001

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(35423 + 7164 + 41720) - (317 x 89) = ?

A.

28213

B.

84307

C.

50694

D.

56094

E.

None of these

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(xⁿ - aⁿ) is completely divisible by (x - a), when

A.

n is any natural number

B.

n is an even natural number

C.

n is and odd natural number

D.

n is prime

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Which one of the following numbers is completely divisible by 45?

A.

181560

B.

331145

C.

202860

D.

2033555

E.

None of these

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Which of the following numbers will completely divide (3²⁵ + 3²⁶ + 3²⁷ + 3²⁸) ?

A.

11

B.

16

C.

25

D.

30

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A number when divide by 6 leaves a remainder 3. When the square of the number is divided by 6, the remainder is

A.

0

B.

1

C.

2

D.

3

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The sum of the two numbers is 12 and their product is 35. What is the sum of the reciprocals of these numbers ?

A.

$\frac {12} {35 }$

B.

$\frac {1} {35 }$

C.

$\frac {35} {8 }$

D.

$\frac {7 } {3 2 }$

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Answer : Option A

Explanation :

Let the numbers be a and b. Then, a + b = 12 and ab = 35

$\frac { a+b } { ab }$ = $\frac {12} {35 }$ $[ \frac { 1 } { b }+$ $\frac { 1 } { a}]$ = $\frac {12} {35 }$

Sum of reciprocals of given numbers = $\frac {12} {35 }$

What will be remainder when 17²⁰⁰ is divided by 18 ?

A.

17

B.

16

C.

1

D.

2