6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

In a class, there are 15 boys and 10 girls. Three students are selected at random. The probability that 1 girl and 2 boys are selected, is:

A) 21/46	B) 1/5
C) 3/25	D) 1/50

Answer & Explanation Answer: A) 21/46

Explanation:

Let , S - sample space E - event of selecting 1 girl and 2 boys.

Then, n(S) = Number ways of selecting 3 students out of 25

= $25 C_{3}$

= 2300.

n(E) = $10 C_{1} \times 15 C_{2}$ = 1050.

$\therefore$ P(E) = n(E)/n(s) = 1050/2300 = 21/46

Report Error

View Answer Report Error Discuss

Filed Under: Probability

106 43820

Q:

Evaluate $\sqrt{93 + \sqrt{32 + \sqrt{274 + \sqrt{225}}}}$

A) 9	B) 11
C) 12	D) 10

Answer & Explanation Answer: D) 10

Explanation:

Report Error

View Answer Report Error Discuss

Filed Under: Simplification
Exam Prep: Bank Exams

0 43819

Q:

If $\sin θ = 40 / 41$ , then $c o t θ$ is

A) 40/9	B) 9/40
C) 9/41	D) 41/9

Answer & Explanation Answer: B) 9/40

Explanation:

Report Error

View Answer Report Error Discuss

Filed Under: Simplification
Exam Prep: Bank Exams

0 43810

Q:

A card is drawn from a pack of 52 cards. The probability of getting a queen of club or a

king of heart is:

A) 2/13	B) 1/13
C) 1/26	D) 1/52

Answer & Explanation Answer: C) 1/26

Explanation:

Here, n(S) = 52.

Let E = event of getting a queen of club or a king of heart.

Then, n(E) = 2.

P(E) =n(E)/n(S)=2/52=1/26.

Report Error

View Answer Report Error Discuss

Filed Under: Probability

7 43761

Q:

A, B and C enter into a partnership with a capital in which A's contribution is Rs. 10,000. If out of a total profit of Rs. 1000, A gets Rs. 500 and B gets Rs. 300, then C's capital is :

A) 4000	B) 5000
C) 6000	D) 7000

Answer & Explanation Answer: A) 4000

Explanation:

A : B : C = 500 : 300 : 200 = 5 : 3 : 2.

Let their capitals be 5x, 3x and 2x respectively.

Then, 5x = 10000

=> x = 2000.

C's capital = 2x = Rs. 4000.

Report Error

View Answer Report Error Discuss

Filed Under: Partnership

39 43737

Q:

ΔDEF is right angled at E. If m∠F = 30 deg, then find the value of (cosD - 1/√2).

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

Answer & Explanation Answer: C) (√2-2)/2√2

Explanation:

Report Error

View Answer Report Error Discuss

Filed Under: Simplification
Exam Prep: Bank Exams

0 43648

Q:

A train 125 m long passes a man, running at 5 km/hr in the same direction in which the train is going, in 10 seconds. The speed of the train is ?

A) 45 kmph	B) 25 kmph
C) 30 kmph	D) 50 kmph

Answer & Explanation Answer: D) 50 kmph

Explanation:

Speed of the train relative to man = (125/10) m/sec = (25/2) m/sec.
[(25/2) x (18/5)] km/hr = 45 km/hr.
Let the speed of the train be 'S' km/hr.
Then, relative speed = (S - 5) km/hr.
S - 5 = 45 => S = 50 km/hr.

Report Error

View Answer Report Error Discuss

Filed Under: Problems on Trains
Exam Prep: AIEEE , Bank Exams , CAT , GATE
Job Role: Bank Clerk , Bank PO

49 43628

Q:

Determine the value of $\frac{x + y}{x + 2 y} when \frac{2 x + y}{x + 4 y} = 3 .$

A) 3/5	B) 7/10
C) 4/5	D) 9/10

Quantitative Aptitude - Arithmetic Ability Questions

Quick Links