6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

If $\tan^{2} θ + c o t^{2} θ = 2$ , then what is the value of $2^{s e c θ \cos e c θ}$ ?

A) 0	B) 1
C) 2	D) 4

Answer & Explanation Answer: D) 4

Explanation:

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Filed Under: Simplification
Exam Prep: Bank Exams

0 1826

Q:

A man walks at a speed of 3 kmph. He doubles his speed after reaching exactly half way. He walks for 5 hours in all. What is the total distance travelled by him?

A) 19 km	B) 15 km
C) 12 km	D) 20 km

Answer & Explanation Answer: D) 20 km

Explanation:

Let total distance be 2D.

He walks half distance i.e, (2D/2) = 'D' distance with 3 kmph and

The next 'D' with 6 kmph.

Using formula,

Time = Distance/speed

(D/3) + (D/6) = 5

D =10 ,

Hence, Total distance 2D = 20 kms.

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Filed Under: Time and Distance
Exam Prep: Bank Exams

15 1826

Q:

If the present ages of a father and his son are 48 years and 28.8 years old respectively, then the father can say to his son, "I was ......... of your present age when you were born".

A) half	B) two-third
C) one-fifth	D) one-third

Answer & Explanation Answer: B) two-third

Explanation:

The present age of Father (f) = 48 and present age of son (s) = 28.8
The age of father at his sons birth is 48 - 28.8 = 19.2
Therefore the age of father was 2/3rd of his son's age at the time of his sons birth

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Filed Under: Problems on Ages
Exam Prep: AIEEE , Bank Exams , CAT

1 1825

Q:

The ratio of milk and water in three samples is 1 : 3, 3 : 5 and 11 : 5. A mixture containing equal quantities of all three samples is made. What will be the ratio of milk and water in the new mixture?

A) 7 : 9	B) 5 : 7
C) 15 : 13	D) 9 : 11

Answer & Explanation Answer: A) 7 : 9

Explanation:

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Filed Under: Alligation or Mixture
Exam Prep: Bank Exams

8 1824

Q:

In which of the following quadrilaterals both pairs of opposite sides are parallel?

A) Rhombus	B) Cyclic quadrilateral
C) Kite	D) Isosceles trapezium

Answer & Explanation Answer: A) Rhombus

Explanation:

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Filed Under: Area
Exam Prep: Bank Exams

0 1824

Q:

One of the internal angle of a rhombus is 60° and length of its shorter diagonal is 8 cm. What is the area of the rhombus?

A) 64√3 sq cm	B) 32√2 sq cm
C) 64√2 sq cm	D) 32√3 sq cm

Answer & Explanation Answer: D) 32√3 sq cm

Explanation:

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Filed Under: Area
Exam Prep: Bank Exams

1 1823

Q:

The length of the diagonal and the breadth of a rectangle are 25 cm and 7 cm respectively. Find its perimeter (in cm).

A) 124	B) 41
C) 82	D) 62

Answer & Explanation Answer: D) 62

Explanation:

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Filed Under: Area
Exam Prep: Bank Exams

0 1823

Q:

Value of $(4 a^{2} + 12 ab + 9 b^{2}) / (2 a + 3 b)$ is

A) 2a - 3b	B) 2a + 3b
C) 2a	D) 3b

Quantitative Aptitude - Arithmetic Ability Questions

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