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Q:

The simplified form of ${(4 x + 3)}^{2} . (3 x - 5) - (4 x^{3} - 12 x^{2} + 9 x - 20)$ is

A) 6x2- 48x - 50	B) 24x3 + 2x2 - 32x - 15
C) 44x3 + 4x2 - 102x - 25	D) 24x3 + 8x2 - 42x - 50

Answer & Explanation Answer: C) 44x3 + 4x2 - 102x - 25

Explanation:

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Filed Under: Square Roots and Cube Roots
Exam Prep: AIEEE , Bank Exams , CAT

Q:

The average of X, Y, Z is 24. Also, X:Y = 2:3 and X+Y = 60, then find the value of (X-Z)?

A) 9	B) 10
C) 11	D) 12

Answer & Explanation Answer: D) 12

Explanation:

X+Y+Z = 24*3 = 72 X:Y = 2:3 (Given)
Let ‘X’ to be 2a & ‘Y’ to be 3a
X+Y = 60 (Given)
2a+3a = 60
5a = 60
a = 12
Hence, X = 24 & Y = 36
From equation (1)...
Z = 72 - 60
Z = 12
Hence, X - Z = 24-12 = 12.

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Filed Under: Average
Exam Prep: Bank Exams

Q:

The annual salary of Arun is 7.68 lac. If he spends Rs. 12000 on his children, 1/13th of rest of the salary on food and Rs. 8000 in mutual funds, then find the monthly saving he is left with?

A) Rs. 38000/-	B) Rs. 39500/-
C) Rs. 40000/-	D) Rs. 41250/-

Answer & Explanation Answer: C) Rs. 40000/-

Explanation:

Annual salary of Arun = 7,68,000 Rs.
Monthly salary = 7,68,000/12 = Rs. 64,000
Spending on children = Rs. 12,000
Rest = 52,000
1/13th of the rest = 52,000/13 = Rs. 4,000 is spent on food.
Rs. 8,000 is spent in mutual funds.
Monthly savings = 64,000 - (12,000+4,000+8,000) = Rs. 40,000.

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Filed Under: Profit and Loss
Exam Prep: Bank Exams

Q:

If cosC + cosD = x, then value of x is

A) 2cos[(C+D)/2]cos[(C-D)/2]	B) 2sin[(C+D)/2]sin[(C-D)/2]
C) 2cos[(C+D)/2]sin[(C-D)/2]	D) 2sin[(C+D)/2]cos[(C-D)/2]

Answer & Explanation Answer: A) 2cos[(C+D)/2]cos[(C-D)/2]

Explanation:

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Filed Under: Simplification
Exam Prep: Bank Exams

Q:

Which of the following numbers is completely divisible by 99?

A) 51579	B) 51557
C) 55036	D) 49984

Answer & Explanation Answer: A) 51579

Explanation:

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Filed Under: Numbers
Exam Prep: Bank Exams

Q:

What value should come in place of question mark (?) in the following question?

$44^{2} + 23^{2} = {(?)}^{2} + 4^{4}$

A) 47	B) 65
C) 52	D) 41

Answer & Explanation Answer: A) 47

Explanation:

$1936 + 529 = ?^{2} + 256 2465 = ?^{2} + 256 ?^{2} = 2465 - 256 ?^{2} = 2209 ? = 47$

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Filed Under: Quantitative Aptitude - Arithmetic Ability
Exam Prep: GATE , Bank Exams

Q:

What value should come in place of the question mark (?) in the following question?

$68 x \sqrt{?} - 3421 = 591$

A) 3249	B) 3481
C) 3364	D) 3136

Answer & Explanation Answer: B) 3481

Explanation:

$68 x \sqrt{?} - 3421 = 591 \sqrt{?} = 4012 / 68 ? = 59 x 59 ? = 3481$

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Filed Under: Quantitative Aptitude - Arithmetic Ability
Exam Prep: GATE , Bank Exams

Q:

If x + y = 12 and xy = 32, then what is the value of $x^{2} + y^{2}$ ?

A) 24	B) 144
C) 128	D) 80

Answer & Explanation Answer: D) 80

Explanation:

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Filed Under: Simplification
Exam Prep: Bank Exams

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