IBPS RRB Officers Scale-I, Preliminary & Main Online Exam>Chapter 5 - Number System>OBJECTIVE TYPE QUESTIONS>Q 88

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IMPORTANT

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What is the remainder when $1923^{1924}$ is divided by $1924$ ?

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Important Questions on Number System

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IBPS RRB Office Assistant Mains

IMPORTANT

IBPS RRB Officers Scale-I, Preliminary & Main Online Exam>Chapter 5 - Number System>OBJECTIVE TYPE QUESTIONS>Q 89

If an

n

-digit natural number is added to a number made by reversing the digits of the original number, the sum is always divisible by

k

. If

n

is an even number,

k

must be a multiple of:

EASY

IBPS RRB Office Assistant Mains

IMPORTANT

IBPS RRB Officers Scale-I, Preliminary & Main Online Exam>Chapter 5 - Number System>OBJECTIVE TYPE QUESTIONS>Q 90

If

32^{x - 2} = \frac{64}{8^{x}}

, find the value of

x

.

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IMPORTANT

IBPS RRB Officers Scale-I, Preliminary & Main Online Exam>Chapter 5 - Number System>OBJECTIVE TYPE QUESTIONS>Q 91

2^{70} + 3^{70}

is divisible by which of the following numbers?

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IBPS RRB Officers Scale-I, Preliminary & Main Online Exam>Chapter 5 - Number System>OBJECTIVE TYPE QUESTIONS>Q 92

If

72

is a divisor of the base

10

number

(a 679 b)_{10}

, find the values of

a

and

b

.

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IMPORTANT

IBPS RRB Officers Scale-I, Preliminary & Main Online Exam>Chapter 5 - Number System>OBJECTIVE TYPE QUESTIONS>Q 93

Find the largest positive integer

n

such that

n^{3} + 100

is divisible by

n + 10

.

HARD

IBPS RRB Office Assistant Mains

IMPORTANT

IBPS RRB Officers Scale-I, Preliminary & Main Online Exam>Chapter 5 - Number System>OBJECTIVE TYPE QUESTIONS>Q 94

If

n^{2} + 3 n + 2

is divisible by

6

and

n

is a positive integer and less than

1991

, find how many values of

n

are possible.

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IMPORTANT

IBPS RRB Officers Scale-I, Preliminary & Main Online Exam>Chapter 5 - Number System>OBJECTIVE TYPE QUESTIONS>Q 95

How many pairs of positive integers

(x, y)

exist, such that

\frac{1}{x} + \frac{1}{y} = \frac{1}{6}

?

HARD

IBPS RRB Office Assistant Mains

IMPORTANT

IBPS RRB Officers Scale-I, Preliminary & Main Online Exam>Chapter 5 - Number System>OBJECTIVE TYPE QUESTIONS>Q 96

Find the number of pairs

(x, y)

of integers for which

2 x y - 5 x + y = 55

.