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Test: Number Systems - 1


25 Questions MCQ Test Quantitative Aptitude for GMAT | Test: Number Systems - 1


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Attempt Test: Number Systems - 1 | 25 questions in 25 minutes | Mock test for Class 9 preparation | Free important questions MCQ to study Quantitative Aptitude for GMAT for Class 9 Exam | Download free PDF with solutions
QUESTION: 1

Find the remainder when 73 × 75 × 78 × 57 × 197 × 37 is divided by 34.

Solution:

Remainder,

[We have taken individual remainder, which means if 73 is divided by 34 individually, it will give remainder 5, 75 divided 34 gives remainder 7 and so on.]

[We have taken here negative as well as positive remainder at the same time. When 30 divided by 34 it will give either positive remainder 30 or negative remainder -4. We can use any one of negative or positive remainder at any time.]

Required remainder = 32.

QUESTION: 2

If x = 2+√3, then x + 1/x =

Solution:


QUESTION: 3

The representation of octal number (532.2)8 in decimal is :

Solution:

Octal to Decimal conversion is obtained by multiplying 8 to the power of base index along with the value at that index position.

(532.2)8 = 5 * 82 + 3 * 81 + 2 * 80 + 2 * 8-1 = (346.25)10

QUESTION: 4

The value of  is 
Solution:

QUESTION: 5

The value of  is 
Solution:


QUESTION: 6

Which of the following is an rational number?
Solution:
QUESTION: 7

If 146! Is divisible by 5n, and then find the maximum value of n.
Solution:

Required answer,

Note:
We have taken integral value only, not the fractional.
For example 146/5 = 29.2 but we have taken 29 and so on.

QUESTION: 8

Solution:

QUESTION: 9

(5+√8)+(3−√2)(√2−6) is
Solution:


And we know that the value of 11√2 is greater than 15 so it's value will be positive, And also sum or differences of rational and irrational is irrational

QUESTION: 10

√8+2√32−5√2 is equal to
Solution:

QUESTION: 11

Every rational number is
Solution:

Every rational number is a real number. Real Number is a set of numbers formed by both Rational and Irrational numbers are combined.

QUESTION: 12

The simplest form of   is
Solution:

QUESTION: 13

(125/216) -1/3 =
Solution:

QUESTION: 14

8√15 ÷ 2√3
Solution:

QUESTION: 15

Ifn x = 3+2√2, then the value of 
Solution:


QUESTION: 16

Decimal representation of a rational number cannot be 
Solution:

A non-terminating, non-repeating decimal is a decimal number that continues endlessly, with no group of digits repeating endlessly.

Decimals of this type cannot be represented as fractions, and as a result, are irrational numbers.

QUESTION: 17

The simplest form of  is
Solution:
QUESTION: 18

If 3x + 64 = 26 + (√3)8, then the value of ‘x’ is 
Solution:

QUESTION: 19

If x1/12 = 491/24, then the value of ‘x’ is
Solution:

QUESTION: 20

The value of (0.00032)-2/5 is
Solution:

QUESTION: 21

The decimal representation of an irrational number is
Solution:
QUESTION: 22

A number which can neither be expressed as a terminating decimal nor as a repeating decimal is called
Solution:
QUESTION: 23

The value of  is 
Solution:

QUESTION: 24

Which of the following is a rational number?
Solution:

0 is an integer and all integers are rational numbers.

QUESTION: 25

The value of  is 
Solution:



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