6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

If $θ$ is positive acute angle and $7 \cos^{2} Ɵ + 3 \sin^{2} Ɵ = 4$ , then the value of $θ$ is

A) 60°	B) 30°
C) 45°	D) 90°

Answer & Explanation Answer: A) 60°

Explanation:

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Filed Under: Simplification
Exam Prep: Bank Exams

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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

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Q:

Two bottles contain acid and water in the ratio 2 : 3 and 1 : 2 respectively. These are mixed in the ratio 1 : 3. What is the ratio of acid and water in the new mixture ?

A) 7:13	B) 11:57
C) 23:37	D) 1:3

Answer & Explanation Answer: A) 7:13

Explanation:

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Filed Under: Alligation or Mixture
Exam Prep: Bank Exams

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Q:

In the given figure, in triangle STU, ST = 8 cm,TU = 9 cm and SU = 12 cm. QU = 24 cm, SR = 32 cm and PT = 27 cm. What is the ratio of the area of triangle PQU and area of triangle PTR?

A) 1 : 1	B) 1 : 4
C) 2 : 3	D) Unknown

Answer & Explanation Answer: D) Unknown

Explanation:

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Filed Under: Volume and Surface Area
Exam Prep: Bank Exams

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Q:

If $a^{3} + b^{3} = 19$ and a + b = 1, then what is the value of ab?

A) 5	B) -6
C) 7	D) -9

Answer & Explanation Answer: B) -6

Explanation:

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Q:

The average value of property of Agil, Mugilan and Anithais Rs. 130cr. The Property of Agil is 20cr greater than the property value of Mugilan and Anitha property value is 50cr greater than the Agil property value. The value ofproperty of Anitha is

A) 120 cr	B) 170 cr
C) 100 cr	D) 150 cr

Answer & Explanation Answer: B) 170 cr

Explanation:

Property value of Mugilan x

130 × 3 = x + x + 20 + x + 20 + 50

390 = 3x + 90

3x = 300

X = 100

Anitha = 100 + 20 + 50 = 170

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Filed Under: Numbers
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Q:

P is a point outside the circle at distance of 6.5 cm from centre O of the circle. PR be a secant such that it intersects the circle at Q and R. If PQ = 4.5 cm and QR = 3.5 cm, then what is the radius (in cm) of the circle?

A) 1.5	B) 2
C) 2.5	D) 3

Answer & Explanation Answer: C) 2.5

Explanation:

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Q:

If $\sqrt{3^{n}} = 2187$ , then the value of n is:

A) 13	B) 14
C) 15	D) 16

Quantitative Aptitude - Arithmetic Ability Questions

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