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Q:

Simplify the equation $\frac{{(0.73)}^{3} + {(0.27)}^{3}}{{(0.73)}^{2} + {(0.27)}^{2} - (0.73) \times (0.27)}$

A) 1	B) 0.4087
C) 0.73	D) 0.27

Answer & Explanation Answer: A) 1

Explanation:

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Filed Under: Simplification
Exam Prep: Bank Exams

Q:

The pressure exerted by a 760 mm column of mercury at $0^{°}$ C is known as

A) 1 pascal	B) 1 atmosphere
C) 1 bar	D) 1 poise

Answer & Explanation Answer: B) 1 atmosphere

Explanation:

1 atm: It was originally defined as the pressure exerted by 760 mm of mercury at 0 °C and standard gravity (g = 9.80665 m/s2).

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Filed Under: Physics
Exam Prep: Bank Exams

Q:

Find the number of triangles in the figure.

A) 12	B) 14
C) 16	D) 18

Answer & Explanation Answer: A) 12

Explanation:

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Filed Under: Image Analysis
Exam Prep: Bank Exams

Q:

$If (─) stands for division, (+) stands for multiplication, (\div) stands for subtraction and (\times) stands for addition, which one of the following equations is correct ?$

A) 100+5−10×250÷200 = 100	B) 200+10−20×200÷100 = 150
C) 50×5÷10+100−75 = 50	D) 300+5−20×200÷100 = 200

Answer & Explanation Answer: A) 100+5−10×250÷200 = 100

Explanation:

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Filed Under: Mathematical Operations
Exam Prep: Bank Exams

Q:

$\frac{{(798 + 579)}^{2} - {(798 - 579)}^{2}}{798 x 579} =$

A) 2	B) 6
C) 4	D) 8

Answer & Explanation Answer: C) 4

Explanation:

⇒ 4(798 X 579) / (798 X 579)
⇒ 4

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Filed Under: Simplification
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Q:

If a--b = 4 and ab = 45, find the value of $a^{3} - b^{3}$

A) 604	B) 370
C) 253	D) 199

Answer & Explanation Answer: A) 604

Explanation:

${(a - b)}^{2} = a^{2} + b^{2} - 2 ab \Rightarrow 16 = a^{2} + b^{2} - 90 \Rightarrow a^{2} + b^{2} = 106 a^{3} - b^{3} = (a - b) (a^{2} + b^{2} + ab) \Rightarrow a^{3} - b^{3} = 4 X (106 + 45) \Rightarrow a^{3} - b^{3} = 4 X 151 \Rightarrow a^{3} - b^{3} = 604$

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Filed Under: Simplification
Exam Prep: Bank Exams

Q:

Rs. 782 is divided into 3 parts in the ratio $\frac{1}{2} : \frac{2}{3} : \frac{3}{4}$ , the first part is

A) Rs. 182	B) Rs. 204
C) Rs. 190	D) Rs. 196

Answer & Explanation Answer: B) Rs. 204

Explanation:

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Filed Under: Ratios and Proportions
Exam Prep: Bank Exams

Q:

In $∆ ABC,$ ∠B=35°, ∠C=65° and the bisector of ∠BAC meets BC in D. Then ADB is

A) 40°	B) 75°
C) 90°	D) 105°

Answer & Explanation Answer: D) 105°

Explanation:

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Filed Under: Simplification
Exam Prep: Bank Exams

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