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Q:

$\sqrt{0.01 + \sqrt{0.0064}} = ?$

A) 0.03	B) 0.3
C) 0.42	D) None of these

Answer & Explanation Answer: B) 0.3

Explanation:

$\sqrt{0.01 + \sqrt{0.0064}} = \sqrt{0.01 + \sqrt{\frac{64}{10000}}} = \sqrt{0.01 + \frac{8}{100}} = \sqrt{0.01 + 0.08} = 0.3$

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Filed Under: Square Roots and Cube Roots

Q:

$1 . 5^{2} x \sqrt{0.0225} = ?$

A) 0.0375	B) 0.3375
C) 3.275	D) 32.75

Answer & Explanation Answer: B) 0.3375

Explanation:

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Filed Under: Square Roots and Cube Roots

Q:

If $x \times y = x + y + \sqrt{x y}$ , the value of 6x24 is:

A) 41	B) 42
C) 43	D) 44

Answer & Explanation Answer: B) 42

Explanation:

$G i v e n x \times y = x + y + \sqrt{x y} H e r e x = 6, y = 24 T h e n, x \times y = 6 + 24 + \sqrt{6 x 24} 6 x 24 = 30 + \sqrt{144} = 30 + 12 = 42 .$

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Filed Under: Square Roots and Cube Roots
Exam Prep: AIEEE , Bank Exams , CAT
Job Role: Analyst , Bank Clerk , Bank PO

Q:

The value of $\sqrt{10 + \sqrt{25 + \sqrt{108 + \sqrt{154 + \sqrt{225}}}}}$ is:

A) 4	B) 6
C) 8	D) 10

Answer & Explanation Answer: A) 4

Explanation:

$\sqrt{10 + \sqrt{25 + \sqrt{108 + \sqrt{154 + \sqrt{225}}}}} \sqrt{10 + \sqrt{25 + \sqrt{108 + \sqrt{154 + 15}}}} \sqrt{10 + \sqrt{25 + \sqrt{108 + 13}}} \sqrt{10 + \sqrt{25 + 11}} \sqrt{10 + 6} \sqrt{16} = 4$

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Filed Under: Square Roots and Cube Roots
Exam Prep: AIEEE , Bank Exams , CAT
Job Role: Analyst , Bank Clerk , Bank PO

Q:

A fort had provision of food for 150 men for 45 days. After 10 days, 25 men left the fort. The number of days for which the remaining food will last, is:

A) 29	B) 37
C) 42	D) 54

Answer & Explanation Answer: C) 42

Explanation:

After 10 days : 150 men had food for 35 days.

Suppose 125 men had food for x days.

Now, Less men, More days (Indirect Proportion)

$∴$ 125 : 150 :: 35 : x $\Leftrightarrow$ 125 x x = 150 x 35

$\Rightarrow x = \frac{150 \times 35}{125} = 42$

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Filed Under: Chain Rule

Q:

In an examination, a student scores 4 marks for every correct answer and loses I mark for every wrong answer. If he attempts in all 60 questions and secures 130 marks, the number of questions he attempts correctly, is:

A) 35	B) 38
C) 40	D) 42

Answer & Explanation Answer: B) 38

Explanation:

Let the number of correct answers be X.

Number of incorrect answers = (60 – X).

Therefore, 4x – (60 – x) = 130

=> 5x = 190 => x = 38

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Filed Under: Simplification

Q:

$\frac{\frac{7}{2} \div \frac{5}{2} \times \frac{3}{2}}{\frac{7}{2} \div \frac{5}{2} o f \frac{3}{2}} \div 5.25$

A) 3/5	B) 3/6
C) 3/7	D) 3/8

Answer & Explanation Answer: C) 3/7

Explanation:

$\frac{\frac{7}{5} x \frac{3}{2}}{\frac{14}{15}} \div \frac{525}{100} \frac{9}{4} \div \frac{525}{100} \frac{900}{2100} = \frac{3}{7}$

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Filed Under: Simplification
Exam Prep: AIEEE , Bank Exams , CAT
Job Role: Bank Clerk , Bank PO

Q:

Simplyfiy : $[3 \frac{1}{4} \div \{1 \frac{1}{4} - \frac{1}{2} (2 \frac{1}{2} - (\frac{1}{4} + \frac{1}{6}))\}]$

A) 78	B) 88
C) 98	D) 108

Answer & Explanation Answer: A) 78

Explanation:

Given exp = $[\frac{13}{4} \div \{\frac{5}{4} - \frac{1}{2} (\frac{5}{2} - \frac{3 - 2}{12})\}]$ = $[\frac{13}{4} \div \{\frac{5}{4} - \frac{1}{2} (\frac{5}{2} - \frac{1}{12})\}]$

= $[\frac{13}{4} \div \{\frac{5}{4} - \frac{1}{2} (\frac{30 - 1}{12})\}]$ = $[\frac{13}{4} \div \{\frac{5}{4} - \frac{29}{24}\}]$

= $[\frac{13}{4} \div \frac{30 - 29}{24}]$ =78

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Filed Under: Simplification

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