5555+ Aptitude and Reasoning Questions, Answers With Explanation

Q:

Raghu can complete a work in 12days working 9 hours a day. Arun can complete the same work in 8 days working 11 hours a day. If both Raghu and Arun work together, working 12 hours a day, in how many days can they complete the work ?

A) $3 \frac{4}{49} d a y s$

B) $12 \frac{4}{49} d a y s$

C) $4 \frac{3}{49} d a y s$

D) $4 \frac{12}{49} d a y s$

A) Option A	B) Option B
C) Option C	D) Option D

Answer & Explanation Answer: C) Option C

Explanation:

Raghu can complete the work in (12 x 9)hrs = 108 hrs.

Arun can complete the work in (8 x 11)hrs = 88 hrs.

Raghu's 1 hrs work = 1/108 and Arun's 1 hrs work = 1/88

(Raghu + Arun)'s 1 hrs work = $(\frac{1}{108} + \frac{1}{88}) = \frac{49}{2376}$

So, both Raghu and Arun will finish the work in $\frac{2376}{49} h r s$

Number of days of 12 hours each= $(\frac{2376}{49} \times \frac{1}{12})$ = $\frac{198}{49} = 4 \frac{3}{49} d a y s$

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Filed Under: Time and Work
Exam Prep: GATE , CAT , Bank Exams
Job Role: Bank PO , Bank Clerk

6 9127

Q:

Study the following diagram and answer questions based on it.

The colour preferences of children are given.

The ratio of children who like brown to those who like black is

A) 5/3	B) 1/2
C) 1	D) 5/6

Answer & Explanation Answer: D) 5/6

Explanation:

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Filed Under: Pie Charts
Exam Prep: Bank Exams

0 9125

Q:

A water tank in a village is normally filled in 8 hours but takes 2 hours longer to fill because of a leak in its bottom. If the tank is full, in how many hrs will the leak empty it ?

A) 34 hrs	B) 36 hrs
C) 38 hrs	D) 40 hrs

Answer & Explanation Answer: D) 40 hrs

Explanation:

The time taken by the leak to empty the tank = $\frac{1}{8} - \frac{1}{10} = \frac{5 - 4}{40} = \frac{1}{40}$

Therefore, the leak empties the tank in 40 hours.

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Filed Under: Pipes and Cistern
Exam Prep: AIEEE , Bank Exams , CAT , GATE
Job Role: Analyst , Bank Clerk , Bank PO

10 9119

Q:

${(31)}^{31} \times {(31)}^{- 27} = ?$

A) 961 x 861	B) 961 x 961
C) 961 x 2	D) 29791

Answer & Explanation Answer: B) 961 x 961

Explanation:

We know that $a^{m} \times a^{n} = a^{m + n}$

$∴ {(31)}^{31 - 27}$ = $31^{4}$ = 961 x 961.

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Filed Under: Numbers
Exam Prep: CAT
Job Role: Bank PO

11 9119

Q:

The probabilities that A and B will tell the truth are 2 / 3 and 4 / 5 respectively . What is the probability that they agree with each other ?

A) 3/5	B) 1/3
C) 2/5	D) 3/4

Answer & Explanation Answer: A) 3/5

Explanation:

Let A be the event of A will tell truth. B be the event of B tell truth

$P (A) = \frac{2}{3}, P (A^{c}) = 1 - P (A) = \frac{1}{3}$

$P (B) = \frac{4}{5}, P (B^{c}) = 1 - P (B) = \frac{1}{5}$

When both agree then they say true or they say false together, that is

$A \cap B o r A^{c} \cap B^{c}$

Also these events will be mutually exclusive :

$P (A \cap B) + P (A^{c} \cap B^{c}) = P (A) P (B) P (C) = \frac{2}{3} * \frac{4}{5} + \frac{1}{3} * \frac{1}{5} = \frac{3}{5}$

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Filed Under: Probability

6 9115

Q:

Rs. 69 were divided among 115 family members so that each lady gets 50 paise less than each gentleman, and each gentleman received twice the paise as each lady received. Find the number of gentlemen in the family?

A) 23	B) 92
C) 48	D) 52

Answer & Explanation Answer: A) 23

Explanation:

Total number of female members = 115

Let the number of males = x

Number of females = y

=> x + y = 115 ......(1)

According to the given data,

x + y(0.50) = 69 ......(2)

From (1) & (2), we get

0.5y = 46

=> y = 46 x 2 = 92

=> x = 115 - 92 = 23

Hence, required number of gentlemen in the family = x = 23.

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Filed Under: Percentage
Exam Prep: AIEEE , Bank Exams , CAT , GATE , GRE
Job Role: Analyst , Bank Clerk , Bank PO

8 9105

Q:

Represent the 0.000256 in vulgar fraction.

A) 4/15625	B) 2/15625
C) 16/15625	D) 8/15625

Answer & Explanation Answer: A) 4/15625

Explanation:

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Filed Under: Decimal Fractions
Exam Prep: Bank Exams

4 9104

Q:

Sumanth walks 200 feet straight from his house, which is facing north and then he walks 100 feet in reverse direction.Further he takes a left turn and walks 300 yards.In Which direction is Sumanth now from his original position?

A) South-East	B) North-East
C) South-West	D) North-West

Answer & Explanation Answer: B) North-East

Explanation:

Starting From his house, Sumanth walks 200 feet straight towards North; we can write it as $N_{200}$ . Similarly, the other distances and directions can be considered and written as follows : (Notice that he covers 300 yards towards East; one yard = 3 feet and hence 300 yards = 900 feet)

$N_{200} S_{100} E_{900}$ Adding all south and all North distances and finding the net result, and also adding all East and all West distances and finding the net result, this can further be summarized as : $N_{100} E_{900}$

Thus, the direction from his original position is North-East.

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Filed Under: Direction Sense Test
Exam Prep: AIEEE , Bank Exams , CAT
Job Role: Bank Clerk , Bank PO

36 9103

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Quantitative Aptitude - Arithmetic Ability

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