5555+ Aptitude and Reasoning Questions, Answers With Explanation

Q:

There are several peacocks and deers in a cage (with no other types of animals). There are 72 heads and 200 feet inside the cage. How many peacocks are there, and how many deers ?

A) 42 & 24	B) 38 & 26
C) 36 & 24	D) 44 & 28

Answer & Explanation Answer: D) 44 & 28

Explanation:

Let
x = peacocks
y = deers

2x + 4y = 200
x + y = 72
y = 72 - x
2x + 288 - 4x = 200
x = 44 peacocks
y = 28 deers

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Filed Under: Numbers
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5 4703

Q:

A, B & C started a business and invested in the ratio 7:6:5. Next Year, they increased their investment by 25%, 20% and 15%, respectively. In what ratio should profit earned only during 2ndyear be distributed?

A) 155:144:175	B) 155:124:95
C) 135:147:152	D) 175:144:115

Answer & Explanation Answer: D) 175:144:115

Explanation:

Let A’s investment be= 7a
Let B’s investment be= 6a
Let C’s investment be= 5a
Their investment in 2ndyear:= (125% of 7a): (120% of 6a) : (115% of 5a) = 175 : 144 : 115

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3 4699

Q:

In how many ways can letter of the word RAILINGS arrange so that R and S always come together?

A) 1260	B) 2520
C) 5040	D) 1080

Answer & Explanation Answer: C) 5040

Explanation:

The number of ways in which the letters of the word RAILINGS can be arranged such that R & S always come together is

Count R & S as only 1 space or letter so that RS or SR can be arranged => 7! x 2!

But in the word RAILINGS, I repeated for 2 times => 7! x 2!/2! = 7! ways = 5040 ways.

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Filed Under: Permutations and Combinations
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7 4697

Q:

What time will it be in 8 hours?

Answer

For exampe if it is 12:45 AM, then after 8 hours the time is

12 hrs 45 min + 8 hrs = 8 : 45 PM in the night on the same day.

Workspace

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Subject: Clocks Exam Prep: AIEEE , Bank Exams , CAT
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14 4695

Q:

The average age of Vishal and Raghavendra is 24 years. If a new person Veerender is also included, the average age is increased by 1.5 years. What is the age of Veerender?

A) 28.5 yrs	B) 29.5 yrs
C) 30.5 yrs	D) 27 yrs

Answer & Explanation Answer: A) 28.5 yrs

Explanation:

According to the given data,

(V + R)/2 = 24

Now, after joining of Veerender,

V + R + D)/3 = 25.5

Hence, Veerender Age = 3(25.5) - 2(24) = 76.5 - 48 = 28.5 years.

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Filed Under: Problems on Ages
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3 4695

Q:

The present worth of a certain sum due sometime hence is Rs. 3400 and the true discount is Rs. 340. The banker's gain is:

A) Rs. 21	B) Rs. 17
C) Rs. 18	D) Rs. 34

Answer & Explanation Answer: D) Rs. 34

Explanation:

$B G = \frac{{(T D)}^{2}}{P W} = \frac{(340)^{2}}{3400} = R s . 34$

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Q:

What is the difference in the shares of profit between P and Q in a joint business at the end of one year ?

a. P Invested Rs. 80,000 and withdrew Rs. 20,000 after 6 months.

b. Q joined four months after the start of business.

c. Q's amount was 80% of P's amount during the last six months.

A) Only a	B) Only c
C) Both a & b	D) Data is not sufficient

Answer & Explanation Answer: D) Data is not sufficient

Explanation:

a. P's investment = (80000 x 6 + 60000 x 6) = 840000 for 1 month.

b & c. Q's investment = 80% of Rs. 60000 for 8 months.

= Rs.(48000 x 8) for 1 month = 384000 for 1 month

P : Q = 840000 : 384000 = 35 : 16.

But, the total profit is not given, so data is inadequate.

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2 4691

Q:

Two cards are drawn at random from a well - shuffled pack of 52 cards. what is the probability that either both are red or both are queens?

A) 17/112	B) 55/221
C) 55/121	D) 33/221

Answer & Explanation Answer: B) 55/221

Explanation:

n(S) = ${}^{52}C_{2}$ = 1326

Let A = event of getting both red cards

and B = event of getting both queens

then $(A \cap B)$ = event of getting two red queens

n(A) = ${}^{26}C_{2}$ = 325, n(B) = ${}^{4}C_{2}$ = 6

$n (A \cap B) = {}^{2}C_{2} = 1$

$∴ P (A) = \frac{325}{1326}, P (B) = \frac{6}{1326}$

$P (A \cap B) = \frac{1}{1326}$

$∴$ P ( both red or both queens) = $P (A \cup B)$

= $P (A) + P (B) - P (A \cap B) =$ $\frac{325}{1326} + \frac{1}{221} - \frac{1}{1326}$ = $\frac{55}{221}$

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Filed Under: Probability

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Aptitude and Reasoning Questions

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Non Verbal Reasoning

Quantitative Aptitude - Arithmetic Ability

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Verbal Reasoning - Logical Deduction

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