Sasi Math (Revised for 1024)

Scroll:Real number system >> Multiple Choice Questions >> mcq (4197)

Written Instructions:

For each Multiple Choice Question (MCQ), four options are given. One of them is the correct answer. Make your choice (1,2,3 or 4). Write your answers in the brackets provided..

For each Short Answer Question(SAQ) and Long Answer Question(LAQ), write your answers in the blanks provided.

Leave your answers in the simplest form or correct to two decimal places.

The simple form of √ 50 is

(A) 5√ 10 (B) 5√ 2 (C) 10√ 5 (D) 25√ 2

1) A
2) D
3) C
4) B

( )

The surd having radicand 9 and order 3 is

(A) ⁹√ 3

(B) ³√ 27

(d) ³√ 81

1) D
2) A
3) B
4) C

( )

Which one of the following is not true

(A) √ 2 is an irrational number

(B) if a is a rational number and √ b is an irrational number then a√ b is rational number

(D) The square root of every positive integers is always irrational

1) C
2) B
3) A
4) D

( )

2/√ 2 is equal to

(A) 2√ 2 (B) √ 2 (C) √ 2 /2 (D) 2

1) D
2) C
3) B
4) A

( )

5 ³√ 3 represents the pure surd

(A) ³√ 15

(B) ³√ 375

(D) ³√ 45

1) C
2) A
3) B
4) D

( )

Which one of the following is not true

(A) √ 2 is an irrational number

(B) √ 17 is a irrational number

(D) 4√ 16 is an irrational number

1) D
2) A
3) B
4) C

( )

4√ 11 is equal to

(A) ⁸√ 11 ² (B) ⁸√ 11 ⁴ (C) ⁸√ 11 ⁸ (D) ⁸√ 11 ⁶

1) A
2) C
3) B
4) D

( )

The order and radicand of the surd ⁸√ 12 are respectively

1) 12,8
2) 8,12
3) 16,12
4) 12,16

( )

Which one of the following is not a surd

(i) √ 8 (ii) √ 30 (iii) √ 4 (iv) √ 3

1) (i), (iii) and (iv)
2) (i), (ii) and (iii)
3) (i),(iii) and (iv)
4) (i), (ii) and (iv)

( )

10)

The simple form of √ 50 is

(A) 5√ 10 (B) 5√ 2 (C) 10√ 5 (D) 25√ 2

1) B
2) C
3) D
4) A

( )

The simple form of √ 50 is

(A) 5√ 10 (B) 5√ 2 (C) 10√ 5 (D) 25√ 2

1) D
2) C
3) B
4) A

Answer: 3

SOLUTION 1 :

Hints: [ √ 50 = √ 25x2 = √ 25 x √ 2 = 5√ 2 ]

Ans = (B)

The surd having radicand 9 and order 3 is

(A) ⁹√ 3

(B) ³√ 27

(d) ³√ 81

1) C
2) B
3) A
4) D

Answer: 1

SOLUTION 1 :

Ans = C

Which one of the following is not true

(A) √ 2 is an irrational number

(B) if a is a rational number and √ b is an irrational number then a√ b is rational number

(D) The square root of every positive integers is always irrational

1) D
2) B
3) A
4) C

Answer: 1

SOLUTION 1 :

Hint: [ The square root of every positive integers is always not irrational number]

Ans = D

2/√ 2 is equal to

(A) 2√ 2 (B) √ 2 (C) √ 2 /2 (D) 2

1) A
2) B
3) C
4) D

Answer: 2

SOLUTION 1 :

Ans = B

5 ³√ 3 represents the pure surd

(A) ³√ 15

(B) ³√ 375

(D) ³√ 45

1) C
2) B
3) A
4) D

Answer: 2

SOLUTION 1 :

ans = B

Which one of the following is not true

(A) √ 2 is an irrational number

(B) √ 17 is a irrational number

(D) 4√ 16 is an irrational number

1) D
2) A
3) B
4) C

Answer: 1

SOLUTION 1 :

Ans = D

4√ 11 is equal to

(A) ⁸√ 11 ² (B) ⁸√ 11 ⁴ (C) ⁸√ 11 ⁸ (D) ⁸√ 11 ⁶

1) A
2) D
3) B
4) C

Answer: 1

SOLUTION 1 :

Ans = A

The order and radicand of the surd ⁸√ 12 are respectively

1) 12,8
2) 16,12
3) 12,16
4) 8,12

Answer: 4

SOLUTION 1 :

Ans = 8,12

Which one of the following is not a surd

(i) √ 8 (ii) √ 30 (iii) √ 4 (iv) √ 3

1) (i),(iii) and (iv)
2) (i), (ii) and (iii)
3) (i), (iii) and (iv)
4) (i), (ii) and (iv)

Answer: 3

SOLUTION 1 :

Hints: [ therefore ³√ 8 = 3√2x2x2 = 2, not a surd]

Ans = (i), (iii) and (iv)

10)

The simple form of √ 50 is

(A) 5√ 10 (B) 5√ 2 (C) 10√ 5 (D) 25√ 2

1) C
2) B
3) D
4) A

Answer: 2

SOLUTION 1 :

Hints: [ √ 50 = √ 25x2 = √ 25 x √ 2 = 5√ 2 ]

Ans = (B)