200 questions asked across 4 exam years, newest first
Suraj travels at a speed of . Find the distance covered by him in .
Answer: B
A car traveling at a speed of 50 km/hour can complete a journey in 8 hours. How long will it take to travel the same distance at 40 km/hour?
Answer: C
Suman and Sujata travel the same distance at speeds of 10 km/hr and 12 km/hr respectively. If Suman takes 36 minutes more than Sujata, the distance traveled by each is:
Answer: D
Two circles of radii 6 cm and 2 cm are such that the distance between their centers is 8 cm. How many common tangents can be drawn?
Answer: D
A circle with radius r has a tangent line at a point P on the circle. The distance of the tangent from point P to the external point Q is 10 cm. The distance from the center of the circle to point Q is 13 cm. Find the radius of the circle.
Answer: A
A circle has a radius of 13 cm. A chord is drawn at a distance of 5 cm from the center. What is the length of the chord?
Answer: C
Dhiraj goes to his school from his house at a speed of 3.8 km/hr and returns at 2.6 km/hr. If he takes 5 hours going and coming, the distance between his house and school is:
Answer: D
A circle with a radius of 20 cm. A chord of length 32 cm is drawn. What is the distance from the center of the circle to the chord?
Answer: B
Two ships positioned on opposite sides of a lighthouse observe the angles of elevation to the top of the lighthouse, which are 30° and 45° respectively. Given that the height of the lighthouse is 100 meters, determine the distance between the two ships.
Answer: D
In a circle with center O, chords AB and CD are equal in length. If the distance from O to AB is 8 cm, what is the distance from O to CD?
Answer: B
Dhanush crosses a road 100 metres wide in 50 seconds. His speed in km/hr is:
Answer: D
What is the minimum distance between centers of two circles having radii 5 cm and 3 cm such that exactly three common tangents exist?
Answer: A
In a circle with center O, two chords, AB and CD, cross each other at right angles. if the distance from the center O to chord AB is 3 cm, while the distance from O to chord CD is 4 cm. What is the radius of the circle?
Answer: A
A man reduces his speed from 20 kmph to 18 kmph. So, he takes 8 minutes more than the normal time. What is the distance traveled by him?
Answer: D
A chord is drawn in a circle with a radius of 15 cm. If the distance of the chord from the center is 9 cm, what is the length of the chord?
Answer: C
A point P is outside a circle. The length of the tangent from P is 10 cm, and the distance from P to the center is cm. What is the radius of the circle?
Answer: A
A train starts from a place Mumbai at 6 a.m. and arrives at Kolhapur at 2.30 p.m. on the same day. If the speed of the train is 60 km per hour, find the distance traveled by the train.
Answer: C
Two circles have radii of 8 cm and 3 cm. The distance between their centers is 15 cm. What is the length of a direct common tangent?
Answer: C
Ajay and Vijay start from the same point and walk at 4 km/h and 5 km/h respectively, in the same direction. What will be the distance between them after 2 hours?
Answer: C
An athlete runs a 300-meter race in 25 seconds. His speed in km/h is:
Answer: A
The speed of a train is 110 kmph. Find the distance covered by the train in 100 seconds.
Answer: B
An athlete runs a 300-meter race in 24 seconds. How much is his speed in km/h?
Answer: A
A runner completes 7.2 km in 48 minutes. What is his speed in km/h?
Answer: A
What is the minimum distance from the origin (0,0) to a point on the line segment connecting the points A(3, 0) and B(0, 4)?
Answer: A
Manoj crosses a 500 m long street in 5 minutes. What is his speed in km per hour?
Answer: C
