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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:

39 persons can repair a road in 12 days, working 5 hours a day. In how many days will 30 persons, working 6 hours a day, complete the work?

A) 10	B) 13
C) 14	D) 15

Answer & Explanation Answer: B) 13

Explanation:

Let the required number of days be x.

Less persons, More days (Indirect Proportion)

More working hours per day, Less days (Indirect Proportion)

$\begin{array}{r} \begin{matrix} P e r s o n s & 30 : 39 \end{matrix} \\ \begin{matrix} W o r k i n g h o u r s / d a y & 6 : 5 \end{matrix} \end{array}\} ⋮ ⋮ 12 : x$

=> 30 * 6 * x = 39 * 5 * 12

=> x= 13

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Filed Under: Chain Rule

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:

10 men, working 6 hours a day can complete a work in 18 days. How many hours a day must 15 men work to complete the work in 12 days ?

A) 4 hours a day	B) 5 hours a day
C) 6 hours a day	D) 7 hours a day

Answer & Explanation Answer: C) 6 hours a day

Explanation:

More Men, Less Hours {Indirect Proportion}

Less Days, More Hours {Indirect Proportion}

$\begin{array}{r} \begin{matrix} m e n & 15 : 10 \end{matrix} \\ \begin{matrix} d a y s & 12 : 18 \end{matrix} \end{array}\} ⋮ ⋮ 6 : x$

=> 15 * 12 * x = 10 * 18 * 6

=>x = 6

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Filed Under: Chain Rule

Q:

An industrial loom weaves 0.128 metres of cloth every second. Approximately, how many seconds will it take for the loom to weave 25 metre of cloth ?

A) 194 seconds	B) 195 seconds
C) 196 seconds	D) 197seconds

Answer & Explanation Answer: B) 195 seconds

Explanation:

Let the time required by x seconds.

Then, More cloth means More time (Direct Proportion)

So, 0.128 : 1 :: 25 : x

$\Rightarrow x = \frac{1 \times 25}{0.128}$ => x = 195.31

So time will be approx 195 seconds

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Filed Under: Chain Rule

Q:

A boy multiplied 987 by a certain number and obtained 559981 as his answer. If in the answer both 98 are wrong and the other digits are correct, then the correct answer would be ?? please explain in detail

A) 553681	B) 555181
C) 555681	D) 556581

Answer & Explanation Answer: C) 555681

Explanation:

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

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