6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

It was Sunday on Jan 1, 2006. What was the day of the week Jan 1, 2010?

A) Sunday	B) Saturday
C) Friday	D) Wednesday

Answer & Explanation Answer: C) Friday

Explanation:

On 31st December, 2005 it was Saturday.

Number of odd days from the year 2006 to the year 2009 = (1 + 1 + 2 + 1) = 5 days.

therfore, on 31st December 2009, it was Thursday.

Thus, on 1st Jan, 2010 it is Friday

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Filed Under: Calendar

8 7429

Q:

The least value of the expression $2 l o g_{10} (x) - l o g_{x} (\frac{1}{100})$ for x>1 is:

A) 2	B) 3
C) 4	D) 5

Answer & Explanation Answer: C) 4

Explanation:

Hence the least value of is 4

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Filed Under: Logarithms
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44 7418

Q:

Two persons Shyam and Rahim can do a job in 32 days together. Rahim can do the same job in 48 days alone. They started working together and after working 8 days Rahim is replaced by a third person Ram whose efficiency is half that of Rahim. Find in how many days the remaining work will be completed by both Shyam and Ram together?

A) 16 days	B) 72/5 days
C) 15 days	D) 96/5 days

Answer & Explanation Answer: B) 72/5 days

Explanation:

Work done by Shyam and Rahim in 8 days = 8/32 = 1/4

Remaining work to be done by Shyam and Ram = 1 - 1/4 = 3/4

Given efficieny of Ram is half of Rahim i.e, as Rahim can do the work in 48 days, Ram can do the work in 24 days.

One day work of Ram and Shyam = (1/32 - 1/48) + 1/24 = 5/96

Hence, the total work can be done by Shyam and Ram together in 96/5 days.

Therefore, remaining work 3/4 can be done by them in 3/4 x 96/5 = 72/5 = 14.4 days.

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Filed Under: Time and Work
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8 7418

Q:

The probabilities that drivers A, B and C will drive home safely after consuming liquor are 2 / 5, 3 / 7 and 3 / 4, respectively. What is the probability that they will drive home safely after consuming liquor ?

A) 3/70	B) 4/70
C) 9/70	D) 1/50

Answer & Explanation Answer: C) 9/70

Explanation:

Let A be the event of driver A drive safely after consuming liquor.

Let B be the event of driver B drive safely after consuming liquor.

Let C be the event of driver C drive safely after consuming liquor.

P(A)=2/5,P(B)=3/7,P(C)=3/4

The events A, B and C are independent . Therefore,

$P (A \cap B \cap C) = P (A) P (B) P (C) = \frac{2}{5} * \frac{3}{7} * \frac{3}{4} = \frac{9}{70}$

Therefore, The probability that all the drivers will drive home safely after consuming liquor is 9/70

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Filed Under: Probability

6 7411

Q:

Solve the equation ${(\frac{1}{2})}^{2 x + 1} = 1$ ?

A) -1/2	B) 1/2
C) 1	D) -1

Answer & Explanation Answer: A) -1/2

Explanation:

Rewrite equation as ${(\frac{1}{2})}^{2 x + 1} = {(\frac{1}{2})}^{0}$

Leads to 2x + 1 = 0

Solve for x : x = -1/2

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Filed Under: Logarithms
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37 7410

Q:

A research team of 6 people is to be formed from 10 chemists,5 politicians, 8 economists and 15 biologists.How many teams have atleast 5 chemists?

A) 7350	B) 6400
C) 6379	D) 7266

Answer & Explanation Answer: D) 7266

Explanation:

$10 C_{5} * 28 C_{1} * 10 C_{6} = 7266$

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Filed Under: Permutations and Combinations

2 7408

Q:

A teacher multiplies 987 by a certain number and obtains 556781 as her answer. If in the answer, both 6 and 7 are wrong but the other digits are correct, then the correct answer will be

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

Answer & Explanation Answer: D) 555681

Explanation:

Given number is 987 = 3 x 7 x 47.

So, required number must be divisible by each one of 3, 7, 47.

None of the numbers in 553681 and 555181 are divisible by 3. While 556581 is not divisible by 7.
Correct answer is 555681.

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Filed Under: Numbers
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7 7402

Q:

An alloy of copper and bronze weight 50g. It contains 80% Copper. How much copper should be added to the alloy so that percentage of copper is increased to 90%?

A) 45 gm	B) 50 gm
C) 55 gm	D) 60 gm

Answer & Explanation Answer: B) 50 gm

Explanation:

Initial quantity of copper = $\frac{80}{100} x 50$ = 40 g

And that of Bronze = 50 - 40 = 10 g

Let 'p' gm of copper is added to the mixture

=> $(50 + p) x \frac{90}{100}$ = 40 + p

=> 45 + 0.9p = 40 + p

=> p = 50 g

Hence, 50 gms of copper is added to the mixture, so that the copper is increased to 90%.

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Filed Under: Alligation or Mixture
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20 7396

Quantitative Aptitude - Arithmetic Ability Questions

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