5555+ Aptitude and Reasoning Questions, Answers With Explanation

Q:

The difference between compound interest and simple interest on an amount of Rs. 15,000 for 2 years is Rs. 96. What is the rate of interest per annum?

A) 8	B) 10
C) 12	D) 14

Answer & Explanation Answer: A) 8

Explanation:

[15000*(1+r/100)2-15000]-(15000*r*2)/100=96

Rate=8%

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Filed Under: Compound Interest
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0 3662

Q:

Avinash gave a sum of 5400 at the simple rate of interest of 8% to Rajeev for 4 years and Rajeev gave this amount to Chanukya at the rate of 6% for 4 years. Find how much extra amount has to be paid by Rajeev to Avinash after 4 years?

A) Rs. 364	B) Rs. 432
C) Rs. 498	D) Rs. 554

Answer & Explanation Answer: B) Rs. 432

Explanation:

Here Avinash gave to Rajeev and Rajeev gave the same to Chanukya

Principal amount and Time is same but the only difference is Rate of interest.

Rajeev took @ 8% and gave it to Chanukya @ 6%

Here the difference in interest rate = 2%

2% of 5400 should be the extra amount paid by Rajeev to Avinash

Required amount = $\frac{2 x 5400 x 4}{100} = 432$

Hence, Rs. 432 is the extra amount has to be paid by Rajeev to Avinash after 4 years.

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Filed Under: Simple Interest
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2 3659

Q:

What is $\frac{1}{5}$ as a decimal?

A) 0.333	B) 0.666
C) 0.200	D) 0.452

Answer & Explanation Answer: C) 0.200

Explanation:

Here I converted the original fraction to a fraction with the denominator being 10, because decimals can be written in the tenths place.

$Divide numerator and denominator with' 2' \frac{1}{5} x \frac{2}{2} = \frac{2}{10} = 0.2$

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Filed Under: Decimal Fractions
Exam Prep: AIEEE , Bank Exams , CAT , GATE
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5 3658

Q:

Train A, travelling at 84 kmph, overtook train B, traveling in the same direction, in 10 seconds. If train B had been traveling at twice its speed, then train A would have taken 22.5 seconds to overtake it. Find the length of train B, given that it is half the length of train A.

A) 180 m	B) 100 m
C) 200 m	D) 150 m

Answer & Explanation Answer:

Explanation:

Let speed of train B be x m/s And length of train B be y m
Then length of train A is 2y m
Speed of train A = 84 × 5/18 = 210/9 m/s = 70/3 m/s
A.T.Q, (2y+y)/10 = 70/3 − x .............(i)
and (2y+y)/ 22.5 = 70/3 − 2x ................(ii)
solving (i) and (ii), y = 50 m

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Filed Under: Quantitative Aptitude - Arithmetic Ability
Exam Prep: Bank Exams , GATE

0 3657

Q:

B is the brother of A and E is the brother of D. If D is the father of B then how E and A are related?

A) E is brother of A	B) A is nephew of E
C) E is father of A	D) E is Uncle of A

Answer & Explanation Answer: D) E is Uncle of A

Explanation:

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Filed Under: Blood Relations
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44 3657

Q:

In a class there are certain no. of boys and girls. If 15 girls are absent then no. of boys will be twice that of girls. If 45 boys are absent then girls strength will be 5 times that of boys. Find number of boys actually present ?

A) 40	B) 50
C) 55	D) 35

Answer & Explanation Answer: B) 50

Explanation:

15 girls are absent => b = 2(g-15)...... eqn...(1)

45 boys are absent => g - 15 = 5(b-45).....eqn...(2)

=> g = 5(b-45) + 15

=> b = 2((5(b-45)+15)-15)

=> b = 2(5b - 225 + 15 - 15)

=> b = 2(5b-225)

=> b = 10b - 450

=> 9b = 450

=> b = 50

so from equation(2)

g - 15 = 5(b - 45)

=> g - 15 = 5(50-45)

=> g - 15 = 5(5)

=> g = 25 + 15

=> g = 40

Therefore, the number of boys = 50 and girls = 40

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Filed Under: Arithmetical Reasoning
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2 3657

Q:

An intelligent boy is doing a jigsaw with 275 pieces. Each day that he fits pieces together there are fewer pieces left, and it is reasonable to assume that he fits more pieces each day because the number left to sort out diminishes progressively. Hence he is able to fit an extra piece as each day goes by. On the first day he fits 20 pieces. How many days does it take for him to complete the puzzle ?

A) 11 days	B) 15 days
C) 13 days	D) 16 days

Answer & Explanation Answer: A) 11 days

Explanation:

Let 'n' number of days it take to complete.

we know that sum of n number= n/2[2a+(n-1)d]
where a=20,d=1;
n/2[2x20+(n-1)1]=275
n[n+39]=550
$n^{2}$ + 39n - 550 = 0
$n^{2}$ + 50n - 11n - 550 = 0
(n-11) (n-50) = 0
n-11 = 0;
n = 11(Days).

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Filed Under: Arithmetical Reasoning
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2 3655

Q:

Three of the following four are alike in a certain way and hence form a group. Which is the one that does not belong to that group?

A) 8	B) 13
C) 29	D) 38

Answer & Explanation Answer: D) 38

Explanation:

The numbers are based on the expression $n^{2} + 4$

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Filed Under: Classification
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18 3654

Aptitude and Reasoning Questions

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Non Verbal Reasoning

Quantitative Aptitude - Arithmetic Ability

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Verbal Reasoning - Logical Deduction

Verbal Reasoning - Mental Ability

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