IBPS RRB Officers Scale-I, Preliminary & Main Online Exam>Chapter 5 - Number System>OBJECTIVE TYPE QUESTIONS>Q 69

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IMPORTANT

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How many prime numbers are there between $1$ and $50$ ?

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Important Questions on Number System

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IMPORTANT

IBPS RRB Officers Scale-I, Preliminary & Main Online Exam>Chapter 5 - Number System>OBJECTIVE TYPE QUESTIONS>Q 70

If the number

3402

is converted from base

10

to base

x

, it becomes

12630

. What is 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 71

Find the value of

\log_{10} 10 + \log_{100} 100 + \log_{10} 1000 + \log_{100} 10000 + \log_{100} 100000

.

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IBPS RRB Officers Scale-I, Preliminary & Main Online Exam>Chapter 5 - Number System>OBJECTIVE TYPE QUESTIONS>Q 72

If

\frac{\log a}{b - c} = \frac{\log b}{c - a} = \frac{\log c}{a - c}

, find the value of

\log a + \log b + \log c

.

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IBPS RRB Officers Scale-I, Preliminary & Main Online Exam>Chapter 5 - Number System>OBJECTIVE TYPE QUESTIONS>Q 73

If

22^{n d}

January

2001

is Monday, then

14^{t h}

December

1997

was:

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IBPS RRB Officers Scale-I, Preliminary & Main Online Exam>Chapter 5 - Number System>OBJECTIVE TYPE QUESTIONS>Q 74

a b c

is a three-digit natural number so that,

a b c = a! + b! + c!

. What is the value of

{(b + c)}^{a}

?

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IBPS RRB Officers Scale-I, Preliminary & Main Online Exam>Chapter 5 - Number System>OBJECTIVE TYPE QUESTIONS>Q 75

a b c

is a three-digit whole number, so that

a b c = a^{3} + b^{3} + c^{3}

and

300 \leq a b c \leq 400

. What is the sum of the three digits?

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IBPS RRB Officers Scale-I, Preliminary & Main Online Exam>Chapter 5 - Number System>OBJECTIVE TYPE QUESTIONS>Q 76

How many two-digit natural numbers are there so that ten's digit is never less than the unit's digit?

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IBPS RRB Officers Scale-I, Preliminary & Main Online Exam>Chapter 5 - Number System>OBJECTIVE TYPE QUESTIONS>Q 77

Suppose

a

and

b

are distinct whole numbers less than

10

,

N = a \times b

and

N! = a! \times b!

. How many pairs of

a

and

b

are possible?