6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

ΔXYZ is right angled at Y. If m∠Z = 30°, then find the value of (sinX - 3/√2).

A) (√6-6)/2√2	B) (√2-√3)/√6
C) -1/2	D) (1-2√3)/2

Answer & Explanation Answer: A) (√6-6)/2√2

Explanation:

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Filed Under: Simplification
Exam Prep: Bank Exams

0 87687

Q:

Question :

What is the sum which earned interest ?

Statements :

a. The total simple interest was Rs. 9000 after 9 years.
b. The total of sum and simple interest was double of the sum after 6 years.

A) Only a is sufficient	B) Neither a nor b is sufficient
C) Only b is sufficient	D) Both a and b sufficient

Answer & Explanation Answer: D) Both a and b sufficient

Explanation:

Let the sum be Rs. x

a. gives, S.I = Rs. 9000 and time = 9 years.

b. gives, Sum + S.I for 6 years = 2 x Sum

--> Sum = S.I for 6 years.

Now, S.I for 9 years = Rs. 9000

S.I for 1 year = Rs. 9000/9 = Rs. 1000.

S.I for 6 years = Rs. (1000 x 6)= Rs. 6000.

--> x = Rs. 6000

Thus, both a and b are necessary to answer the question.

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

8 87608

Q:

If each edge of a cube is increased by 50%, find the percentage increase in Its surface area

A) 125%	B) 150%
C) 175%	D) 110%

Answer & Explanation Answer: A) 125%

Explanation:

Let the edge = a cm

So increase by 50 % = a + a/2 = 3a/2

Total surface Area of original cube = $6 a^{2}$

TSA of new cube = $6 {(\frac{3 a}{2})}^{2}$ = $6 (\frac{9 a^{2}}{4})$ = $13.5 a^{2}$

Increase in area = $13.5 a^{2} - 6 a^{2}$ = $7.5 a^{2}$

$7.5 a^{2}$ Increase % = $\frac{7.5 a^{2}}{6 a^{2}} \times 100$ = 125%

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Filed Under: Volume and Surface Area

484 87461

Q:

FInd the odd man out of the given series of numbers?

120, 36, 6, 2, 1, 1

A) 120	B) 36
C) 6	D) 2

Answer & Explanation Answer: B) 36

Explanation:

The given number series is 120, 36, 6, 2, 1, 1

120

120/5 = 24 (not 36)

24/4 = 6

6/3 = 2

2/2 = 1

1/1 = 1

Hence, the odd man in the given number series is 24.

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Filed Under: Odd Man Out
Exam Prep: AIEEE , Bank Exams , CAT
Job Role: Analyst , Bank Clerk , Bank PO

1 87105

Q:

Select the odd figure out of the given figure series.

A) Tortoise	B) Crab
C) Frog	D) Fish

Answer & Explanation Answer: D) Fish

Explanation:

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Filed Under: Odd Man Out
Exam Prep: Bank Exams

0 86704

Q:

A, B, C started a business with their investments in the ratio 1:3 :5. After 4 months, A invested the same amount as before and B as well as C withdrew half of their investments. The ratio of their profits at the end of the year is :

A) 1 : 2 : 3	B) 3 : 4 : 15
C) 3 : 5 : 10	D) 5 : 6 : 10

Answer & Explanation Answer: D) 5 : 6 : 10

Explanation:

Let their initial investments be x, 3x and 5x respectively. Then,

A:B:C = (x*4+2x*8) : (3x*4+(3x/2)*8) : (5x*4+(5x/2)*8)

20x : 24x : 40x = 5 : 6 : 10

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Filed Under: Partnership

207 86590

Q:

The length of a diagonal in cms of a rectangle of length 5 cm and width 3 cm is

A) √34	B) +-√34
C) 4	D) +-4

Answer & Explanation Answer: A) √34

Explanation:

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Filed Under: Area
Exam Prep: Bank Exams

2 86342

Q:

Solve the following : 80÷[48−56−(60−36÷12×4)]=?

A) 5	B) 8
C) 4	D) 2

Quantitative Aptitude - Arithmetic Ability Questions

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