Mathematics Express>Chapter 5 - Number Systems>Exercise 1>Q 86

MEDIUM

UPSC CDS

IMPORTANT

Earn 100

The sum of the squares of two positive integers is $100$ and the difference of their squares is $28$ . The sum of the numbers is:

50% studentsanswered this correctly

Important Questions on Number Systems

EASY

UPSC CDS

IMPORTANT

Mathematics Express>Chapter 5 - Number Systems>Exercise 1>Q 87

\sqrt{12 + \sqrt{12 + \sqrt{12 . . . . .}}} = ?

EASY

UPSC CDS

IMPORTANT

Mathematics Express>Chapter 5 - Number Systems>Exercise 1>Q 88

What is the sum of two consecutive even numbers, the difference of whose squares is

84

?

MEDIUM

UPSC CDS

IMPORTANT

Mathematics Express>Chapter 5 - Number Systems>Exercise 1>Q 89

In an examination, a student was asked to find

\frac{3}{14}

of a certain number. By mistake, he found

\frac{3}{4}

of it. His answer was

150

more than the correct answer. The given number is ?

HARD

UPSC CDS

IMPORTANT

Mathematics Express>Chapter 5 - Number Systems>Exercise 1>Q 90

What is the sum of digits of the least number. Which when divided by

15, 18 and 24

leaves the remainder

8

in each case and is also divisible by

13

?

MEDIUM

UPSC CDS

IMPORTANT

Mathematics Express>Chapter 5 - Number Systems>Exercise 1>Q 91

\frac{12^{55}}{3^{11}} + \frac{8^{48}}{16^{18}}

will give the digit at unit's place as:

MEDIUM

UPSC CDS

IMPORTANT

Mathematics Express>Chapter 5 - Number Systems>Exercise 1>Q 92

If the product of all the factors of a number is equal to the square of the number itself, and the sum of all the factors of the number other than the number itself is

21,

then find the sum of all the possible values of the number.

EASY

UPSC CDS

IMPORTANT

Mathematics Express>Chapter 5 - Number Systems>Exercise 1>Q 93

Which among the following is greatest

\sqrt{8} + \sqrt{3}, \sqrt{6} + \sqrt{5}, \sqrt{7} + \sqrt{4}

EASY

UPSC CDS

IMPORTANT

Mathematics Express>Chapter 5 - Number Systems>Exercise 1>Q 94

How many numbers between

300

and

600

are divisible by

4, 5

and

6

?