6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

A train of length 110 meter is running at a speed of 60 kmph. In what time, it will pass a man who is running at 6 kmph in the direction opposite to that in which the train is going?

A) 10	B) 8
C) 6	D) 4

Answer & Explanation Answer: C) 6

Explanation:

Distance = 110 m

Relative speed = 60 + 6 = 66 kmph (Since both the train and the man are in moving in opposite direction)

= (66*5/18) m/sec = 55/3 m/sec

$\therefore$ Time taken to pass the man = (100*3/55) = 6 s

Report Error

View Answer Report Error Discuss

Filed Under: Problems on Trains

81 35254

Q:

In the following question, select the odd word pair from the given alternatives.

A) Surgeon – Scalpel	B) Tailor – Scissors
C) Chisel – Sculptor	D) Chef – Knife

Answer & Explanation Answer: C) Chisel – Sculptor

Explanation:

Report Error

View Answer Report Error Discuss

Filed Under: Odd Man Out
Exam Prep: Bank Exams

0 35238

Q:

The diagonal of a rectangle is sqrt(41) cm. and its area is 20 sq. cm. The perimeter of the rectangle must be:

A) 9 cm	B) 18 cm
C) 20 cm	D) 41 cm

Answer & Explanation Answer: B) 18 cm

Explanation:

$l^{2} + b^{2}$ = ${(d i a g o n a l)}^{2}$ =40

Also, lb=20

${(l + b)}^{2} = l^{2} + b^{2} + 2 l b$ = 41 + 40 =81

(l + b) = 9.

Perimeter = 2(l + b) = 18 cm.

Report Error

View Answer Report Error Discuss

Filed Under: Volume and Surface Area

48 35229

Q:

If x is 80% of y, then what percent of 2x is y?

A) 65.5 %	B) 64.5 %
C) 63.5 %	D) 62.5 %

Answer & Explanation Answer: D) 62.5 %

Explanation:

x = 80 % of y

=> x =(80/100 )y

=> y/x = 5/4

Required percentage = [(y/2x)*100] % = (5/8*100) % =62.5%

Report Error

View Answer Report Error Discuss

Filed Under: Percentage

96 35019

Q:

Select the odd character out of the following series.

A) λ	B) 5
C) α	D) π

Answer & Explanation Answer: B) 5

Explanation:

Report Error

View Answer Report Error Discuss

Filed Under: Odd Man Out
Exam Prep: Bank Exams

2 35018

Q:

The distance of the college and home of Rajeev is 80km. One day he was late by 1 hour than the normal time to leave for the college, so he increased his speed by 4km/h and thus he reached to college at the normal time. What is the changed (or increased) speed of Rajeev?

A) 28 km/h	B) 30 km/h
C) 40 km/h	D) 20 km/h

Answer & Explanation Answer: D) 20 km/h

Explanation:

Let the normal speed be x km/h, then

$\frac{80}{x} - \frac{80}{(x + 4)} = 1$

$\Rightarrow$ $x^{2} + 4 x - 320 = 0$

$\Rightarrow$ x (x + 20) - 16 (x + 20) = 0

(x + 20 ) (x - 16) =0

x = 16 km/h

Therefore (x + 4) = 20 km/h

Therefore increased speed = 20 km/h

Report Error

View Answer Report Error Discuss

Filed Under: Time and Distance

55 34965

Q:

A container contains 50 litres of milk. From that 8 litres of milk was taken out and replaced by water. This process was repeated further two times. How much milk is now contained by the container ?

A) 24.52 litres	B) 29.63 litres
C) 28.21 litres	D) 25.14 litres

Answer & Explanation Answer: B) 29.63 litres

Explanation:

Given that container has 50 litres of milk.

After replacing 8 litres of milk with water for three times, milk contained in the container is:

$\Rightarrow [50 {(1 - \frac{8}{50})}^{3}]$

$\Rightarrow (50 \times \frac{42}{50} \times \frac{42}{50} \times \frac{42}{50})$ = 29.63 litres.

Report Error

View Answer Report Error Discuss

Filed Under: Alligation or Mixture
Exam Prep: CAT
Job Role: Bank PO

51 34949

Q:

Consider the following statements:

1) An isosceles trapezium is always cyclic.

2) Any cyclic parallelogram is a rectangle.

Which of the above statements is/are correct?

A) 1 only	B) 2 only
C) Both 1 and 2	D) Neither 1 nor 2

Answer & Explanation Answer: C) Both 1 and 2

Explanation:

Since it is an isosceles trapezium

So angle C = angle D = x

let A = 180 –D = 180 –x (since AB is parallel to CD)

B = 180-x

A+C = 180 –x + x = 180 degrees (Property of cyclic quadrilateral)

ABCD is cyclic parallelogram with AB // CD and AD // BC

Considering angles A = C = y (Property of parallelogram) and B=D = x Also since it is cyclic A+C = B+D = 180 degrees

Quantitative Aptitude - Arithmetic Ability Questions

Quick Links