6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

Three cats are roaming in a zoo n such a way that when cat A takes 5 steps, B takes 6 steps and C takes 7 steps.But the 6 steps of A are equal to the 7 steps of B and 8 steps of C. what is the ratio of their speeds?

A) 140:144:147	B) 40:44:47
C) 15:21:28	D) 252:245:240

Answer & Explanation Answer: A) 140:144:147

Explanation:

Frequency of step of A:B:C = 5 : 6 : 7

But in terms of size of step, 6A = 7B = 8C

Therefore, Ratio of speeds of A, B and C = 5/6 : 6/7 : 7/8 = 140 : 144 : 147

Report Error

View Answer Report Error Discuss

Filed Under: Ratios and Proportions

45 18409

Q:

Four pipes P,Q, R and S can fill a cistern in 20,25, 40 and 50 hours respectively.The first pipe P was opened at 6:00 am, Q at 8:00 am, R at 9:00 am and S at 10:00 am. when will the Cistern be full?

A) 4:18 pm	B) 3:09 pm
C) 12:15 pm	D) 11:09 am

Answer & Explanation Answer: B) 3:09 pm

Explanation:

Efficiency of P= 100/20= 5% per hour

Efficiency of Q= 100/25= 4% per hour

Efficiency of R= 100/40= 2.5% per hour

Efficiency of S=100/50= 2% per hour

Cistern filled till 10 am by P, Q and R

$\begin{matrix} Till 10.00 am Pipe P filled 20 % \\ Till 10.00 am Pipe Q filled 8 % \\ Till 10.00 am Pipe R filled 2.5 % \end{matrix}\} 30.5 %$

Thus, at 10 am pipe P,Q and R filled 30.5% of the cistern.

Rest of cistern to be filled = 100 - 30.5 = 69.5%

Now, the time taken by P,Q,R and S together to fill the remaining capacity of the cistern

= 69.5 / (5+4+2.5+2) = 5 Hours and 9 minutes(approx).

Therefore, total time =4 hrs + 5hrs 9 mins = 9 hrs and 9 mins

It means cistern will be filled up at 3:09 pm

Report Error

View Answer Report Error Discuss

Filed Under: Time and Work

21 18405

Q:

In a box, there are 5 black pens, 3 white pens and 4 red pens. In how many ways can 2 black pens, 2 white pens and 2 red pens can be chosen?

A) 180	B) 220
C) 240	D) 160

Answer & Explanation Answer: A) 180

Explanation:

Number of ways of choosing 2 black pens from 5 black pens in $5 C_{2}$ ways.

Number of ways of choosing 2 white pens from 3 white pens in $3 C_{2}$ ways.

Number of ways of choosing 2 red pens from 4 red pens in $4 C_{2}$ ways.

By the Counting Principle, 2 black pens, 2 white pens, and 2 red pens can be chosen in 10 x 3 x 6 =180 ways.

Report Error

View Answer Report Error Discuss

Filed Under: Permutations and Combinations

12 18397

Q:

A 270 metres long train running at the speed of 120 kmph crosses another train running in opposite direction at the speed of 80 kmph in 9 seconds. What is the length of the other train ?

A) 230 m	B) 240 m
C) 260 m	D) 320 m

Answer & Explanation Answer: A) 230 m

Explanation:

Relative speed = (120 + 80) km/hr

=(200*5/18)m/s = (500/9)m/s

Let the length of the other train be x metres.

Then, x+270/9 = 500/9

=> x + 270 = 500

=> x = 230.

Report Error

View Answer Report Error Discuss

Filed Under: Problems on Trains

19 18390

Q:

If two dice are thrown together, the probability of getting an even number on one die and an odd number on the other is ?

A) 1	B) 1/2
C) 0	D) 3/5

Answer & Explanation Answer: B) 1/2

Explanation:

The number of exhaustive outcomes is 36.
Let E be the event of getting an even number on one die and an odd number on the other. Let the event of getting either both even or both odd then = 18/36 = 1/2
P(E) = 1 - 1/2 = 1/2.

Report Error

View Answer Report Error Discuss

Filed Under: Probability
Exam Prep: AIEEE , Bank Exams , CAT , GATE
Job Role: Bank Clerk , Bank PO

17 18384

Q:

Find the area of a square, one of whose diagonals is 3.8 m long

A) 7.22	B) 6.22
C) 4.22	D) 3.22

Answer & Explanation Answer: A) 7.22

Explanation:

Area of the square = $\frac{1}{2} * {(d i a g o n a l)}^{2} = \frac{1}{2} * 3.8 * 3.8 = 7.22 m^{2}$

Report Error

View Answer Report Error Discuss

Filed Under: Area
Exam Prep: Bank Exams
Job Role: Bank PO

16 18373

Q:

If every seconds Saturday and all Sundays are holidays in a 30 days month beginning on Saturday, then how many working days are there in that month ? (Month starts from Saturday)

A) 25	B) 22
C) 24	D) 23

Answer & Explanation Answer: D) 23

Explanation:

As month begins on Saturday, so 2nd, 9th, 16th, 23rd, 30th days will be Sundays. While 8th and 22nd days are second Saturdays. Thus, there are 7 holidays in all.

Hence, no. of working days = 30 – 7 =23

Report Error

View Answer Report Error Discuss

Filed Under: Calendar
Exam Prep: AIEEE , Bank Exams , CAT , GATE
Job Role: Bank Clerk , Bank PO

55 18351

Q:

Ratio of the ages of Mahesh and Nilesh is 5 : x. Mahesh is 18 years younger to Ramesh. After nine years Ramesh will be 47 years old. If the difference between the ages of Mahesh and Nilesh is same as the age of Ramesh, what is the value of x ?

A) 11.8	B) 12.9
C) 13.7	D) 14.5

Answer & Explanation Answer: D) 14.5

Explanation:

Let the present ages of Mahesh, Nilesh and Ramesh be k, l and m respectively.
k/l = 5/x ------ (1)
k = m - 18 ------ (2)
m + 9 = 47 ------ (3)
k - l = m ----- (4)
(3) => m = 47 - 9 = 38 years
(2) => k = 38 -18 = 20 years
(1) => 20/l = 5/x => l = 4x
(4) => 4x - 20 = 38
=> 4x = 58 => x = 14.5

Report Error

View Answer Report Error Discuss

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

27 18347

Quantitative Aptitude - Arithmetic Ability Questions

Quick Links