6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

A box contains 90 screws each of 100 gms and 100 bolts each of 150 gms. If the entire box weighs 35.5 kg, then the weight of the empty box is ?

A) 10.5 kgs	B) 12 kgs
C) 9.6 kgs	D) 11.5 kgs

Answer & Explanation Answer: D) 11.5 kgs

Explanation:

Screws weight = 90x100 = 9000gms
bolts weight = 100 x 150 = 15000gms
weight = screws + bolts => 24000 gms =>24 kg
Given entire box weight = 35.5kg
empty box = entire box weight - weight => 35.5kg - 24kg => 11.5kg
so the empty box is 11.5kg.

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Filed Under: Numbers
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8 7986

Q:

Which calendar was used again in the year 1856?

A) 1828	B) 1850
C) 1830	D) 1852

Answer & Explanation Answer: A) 1828

Explanation:

Given year 1856, when divided by 4 leaves a remainder of 0.

NOTE: When remainder is 0, 28 is subtracted to the given year to get the result.

So, 1856 - 28 = 1828

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Filed Under: Calendar

9 7984

Q:

A person travels from K to L a speed of 50 km/hr and returns by increasing his speed by 50%. What is his average speed for both the trips ?

A) 55 kmph	B) 58 kmph
C) 60 kmph	D) 66 kmph

Answer & Explanation Answer: C) 60 kmph

Explanation:

Speed on return trip = 150% of 50 = 75 km/hr.

Average speed = (2 x 50 x 75)/(50 + 75) = 60 km/hr.

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Filed Under: Time and Distance
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4 7984

Q:

$i f \log \frac{a}{b} + \log \frac{b}{a} = \log (a + b), t h e n$

A) a + b = 1	B) a - b = 1
C) a = b	D) ab=1

Answer & Explanation Answer: A) a + b = 1

Explanation:

$i f \log \frac{a}{b} + \log \frac{b}{a} = \log (a + b), t h e n$

$\log (a + b) = \log (\frac{a}{b} \times \frac{b}{a}) = \log 1$

so, a+b=1

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Filed Under: Logarithms
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40 7983

Q:

The area of a square is 49 mm. What is the length of each side?

A) 5mm	B) 6mm
C) 7mm	D) 8mm

Answer & Explanation Answer: C) 7mm

Explanation:

$A = S^{2}$

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Filed Under: Area
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1 7982

Q:

What is the value of $100 P_{2}$ ?

A) 10000	B) 9900
C) 8900	D) 7900

Answer & Explanation Answer: B) 9900

Explanation:

Here in 100P2, P says that permutations and is defined as in how many ways 2 objects can be selected from 100 and can be arranged.

That can be done as,

$100 P_{2}$ = 100!/(100 - 2)!

= 100 x 99 x 98!/98!

= 100 x 99

= 9900.

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Filed Under: Permutations and Combinations
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8 7974

Q:

A woman says, "If you reverse my own age, the figures represent my husband's age. He is, of course, senior to me and the difference between our ages is one-eleventh of their sum." The woman's husband age is ?

A) 45	B) 24
C) 42	D) 54

Answer & Explanation Answer: D) 54

Explanation:

By trial and error method from the given options,

as 54 - 45 = (1/11) x (45+54) = 99/11 = 9

Hence this satisfies the given conditions.

Then the woman's husband age is 54.

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Filed Under: Problems on Ages
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10 7973

Q:

One third of a Number is 96. What will 67% of that Number be?

A) 192.96	B) 181.44
C) 169.92	D) 204.48

Answer & Explanation Answer: A) 192.96

Explanation:

Let the Number be x.

Given that one third of a Number is 96.

i.e x = 3 x 96 = 288.

67% of x = $\frac{x \times 67}{100} = \frac{288 \times 67}{100} = 192.96$

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Filed Under: Quantitative Aptitude - Arithmetic Ability
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3 7963

Quantitative Aptitude - Arithmetic Ability Questions

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