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Question (31)

QN0019109

If (a=9) and (b=4), then (a^2-b^2) equals

(A) 63
(B) 65
(C) 67
(D) 69

Correct Answer: B

Explanation:

(81-16=65)

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Question (32)

QN0019110

Evaluate (999\times1001).

(A) 999999
(B) 1000000
(C) 1000001
(D) 998001

Correct Answer: A

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Question (33)

QN0019111

Which expression gives the square of a number decreased by 8?

(A) (x^2-8)
(B) ((x-8)^2)
(C) (x(x-8))
(D) ((x+8)^2)

Correct Answer: B

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Question (34)

QN0019112

Find ((6a+5b)^2).

(A) (36a^2+60ab+25b^2)
(B) (36a^2+25b^2)
(C) (36a^2+30ab+25b^2)
(D) (12a^2+60ab+25b^2)

Correct Answer: A

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Question (35)

QN0019113

Evaluate (124^2).

(A) 15376
(B) 15476
(C) 15276
(D) 15676

Correct Answer: A

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Question (36)

QN0019114

Which identity is most suitable for calculating (103\times97)?

(A) ((a+b)^2)
(B) ((a-b)^2)
(C) ((a+b)(a-b))
(D) None of these

Correct Answer: C

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Question (37)

QN0019115

The middle term in ((m-n)^2) is always

(A) Positive
(B) Negative
(C) Zero
(D) Undefined

Correct Answer: B

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Question (38)

QN0019116

Which of the following equals ((p+4)^2)?

(A) (p^2+8p+16)
(B) (p^2+4p+16)
(C) (p^2+16)
(D) (2p^2+16)

Correct Answer: A

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Question (39)

QN0019117

A student calculates ((20+5)^2) as (20^2+5^2). Which term has been omitted?

(A) (20)
(B) (25)
(C) (2\times20\times5)
(D) (5)

Correct Answer: C

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Question (40)

QN0019118

Why is the identity ((a+b)(a-b)=a^2-b^2) useful in mental calculations?

(A) It avoids multiplication completely.
(B) It converts a product into a difference of squares.
(C) It works only for small numbers.
(D) It gives approximate answers.

Correct Answer: B

Explanation:

It simplifies calculations when numbers are equally distant from a common value.

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Question (31)

If (a=9) and (b=4), then (a^2-b^2) equals

Explanation:

Link:

Question (32)

Evaluate (999\times1001).

Explanation:

Link:

Question (33)

Which expression gives the square of a number decreased by 8?

Explanation:

Link:

Question (34)

Find ((6a+5b)^2).

Explanation:

Link:

Question (35)

Evaluate (124^2).

Explanation:

Link:

Question (36)

Which identity is most suitable for calculating (103\times97)?

Explanation:

Link:

Question (37)

The middle term in ((m-n)^2) is always

Explanation:

Link:

Question (38)

Which of the following equals ((p+4)^2)?

Explanation:

Link:

Question (39)

A student calculates ((20+5)^2) as (20^2+5^2). Which term has been omitted?

Explanation:

Link:

Question (40)

Why is the identity ((a+b)(a-b)=a^2-b^2) useful in mental calculations?

Explanation:

Link:

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