6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

If $\sqrt{15 \sqrt{15 \sqrt{15 \sqrt{15 \sqrt{15 . . . . . . . \infty}}}}}$ and x > 0, then find the value of $x^{2} + 4$ .

A) 125	B) 179
C) 200	D) 229

Answer & Explanation Answer: D) 229

Explanation:

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Filed Under: Simplification
Exam Prep: Bank Exams

0 51303

Q:

In how many different ways can the letters of the word 'OPTICAL' be arranged so that the vowels always come together?

A) 360	B) 700
C) 720	D) 120

Answer & Explanation Answer: C) 720

Explanation:

The word 'OPTICAL' contains 7 different letters.

When the vowels OIA are always together, they can be supposed to form one letter.

Then, we have to arrange the letters PTCL (OIA).

Now, 5 letters can be arranged in 5! = 120 ways.

The vowels (OIA) can be arranged among themselves in 3! = 6 ways.

Required number of ways = (120 x 6) = 720.

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Filed Under: Permutations and Combinations

51 51211

Q:

If A is 40% less than B, then B is how much percentage more than A?

A) 72.33	B) 60
C) 40	D) 66.66

Answer & Explanation Answer: D) 66.66

Explanation:

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Filed Under: Percentage
Exam Prep: Bank Exams

1 51203

Q:

If $a^{2} + \frac{1}{a^{2}} = 3, then a^{3} + \frac{1}{a^{3}} = ?$

A) 3√5	B) 2√5
C) 2√3	D) 3√3

Answer & Explanation Answer: B) 2√5

Explanation:

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Filed Under: Simplification
Exam Prep: Bank Exams

0 51143

Q:

A number is decreased by 10% and then increased by 10%. The number so obtained is 10 less than the original number. What was the oiginal number ?

A) 1000	B) 2000
C) 3000	D) 4000

Answer & Explanation Answer: A) 1000

Explanation:

Let the original number be x.

Final number obtained = 110% of (90% of x) =(110/100 * 90/100 * x) = (99/100)x.

x-(99/100)x=10

=> x =1000

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Filed Under: Percentage

141 51135

Q:

When 0.232323.... is converted into a fraction , then the result is

A) 1/5	B) 2/9
C) 23/99	D) 23/100

Answer & Explanation Answer: C) 23/99

Explanation:

$0.232323 . . . = 0.23 = \frac{23}{99}$

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Filed Under: Decimal Fractions

73 51111

Q:

What is the simplified value of

$\frac{1}{\sqrt{17} - \sqrt{16}} - \frac{1}{\sqrt{16} - \sqrt{15}} + \frac{1}{\sqrt{15} - \sqrt{14}} - \frac{1}{\sqrt{14} - \sqrt{13}} + \frac{1}{\sqrt{13} - \sqrt{12}}$ ?

A) 4 – 2√3	B) √17 – 3√2
C) √17 + √12	D) 4 + 2√3

Answer & Explanation Answer: C) √17 + √12

Explanation:

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Filed Under: Simplification
Exam Prep: Bank Exams

0 51088

Q:

Which of the following statements is/are true?

$I . 11 \frac{1}{2} + 17 \frac{3}{4} - 5 \frac{1}{5} - 2 \frac{1}{10} = \frac{439}{20} II . \frac{9}{1078} > \frac{11}{1127} > \frac{12}{1219} III . \frac{149}{151} > \frac{153}{155} > \frac{157}{159}$

A) Only I	B) Only II
C) Only III	D) None is true.

Quantitative Aptitude - Arithmetic Ability Questions

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