List of practice Questions

Find the value of log₁₀10+log10²+log10 10ⁿ

Two people were walking in opposite directions. Both of them walked 6 miles forward then took right and walked 8 miles. How far is each from starting positions?

A 4 cm cube is cut into 1cm cubes. What is the percentage increase in the surface area after such cutting?

A rectangular park 60 m long and 40 m wide has two concrete crossroads running in the middle of the park and rest of the park has been used as a lawn. If the area of the lawn is 2109 sq. m, then what is the width of the road?

Three parallel lines are cut by two transversals as shown in the given figure. If AB=2 cm, BC=4 cm and DE=1.5 cm, then the length of EF is:

One side of an equilateral triangle is 24 cm. The midpoints of its sides are joined to form another triangle whose midpoints are in turn joined to form still another triangle. This process continues indefinitely. Find the sum of the perimeters of all the triangles.

A solid sphere is melted and recast into a right circular cone with a base radius equal to the radius of the sphere. What is the ratio of the height and radius of the cone so formed?

The radius of a wire is decreased to one-third and its volume remains the same. The new length is how many times the original length?

Difference between two numbers is 9 and difference between their squares is 981. Lowest of the two numbers is:

The 10th term of the series 5, 8, 11, 14, … is:

Find the intercepts made by the line 3x + 4y - 12 = 0 on the axes:

By walking at of his usual speed, a man reaches office 10 minutes later than usual. What is his usual time?

A man and a woman 81 miles apart from each other, start travelling towards each other at the same time. If the man covers 5 miles per hour to the women’s 4 mile per hour, how far will the woman have travelled when they meet?

In a 100 M race, if A gives B a start of 20 meters, then A wins the race by 5 seconds. Alternatively, if A gives B a start of 40 meters the race ends in a dead heat. How long does A take to run 200 M?

A bag contains 5 white and 3 black balls; another bag contains 4 white and 5 black balls. From any one of these bags a single draw of two balls is made. Find the probability that one of them would be white and another black ball.

The probability that a leap year selected at random contains either 53 Sundays or 53 Mondays, is:

Four men and three women can do a job in 6 days. When 5 men and 6 women work on the same job, the work gets completed in 4 days. How long will 2 women and 3 men take to do the job?

Ram completes 60% of a task in 15 days and then takes the help of Rahim and Rachel. Rahim is 50% as efficient as Ram is and Rachel is 50% as efficient as Rahim is. In how many more days will they complete the work?

A and B can do a piece of work in 21 and 24 days respectively. They start the work together and after some days A leaves the work and B completes the remaining work in 9 days. After how many days did A leave?

Amit can do a work in 12 days and Sagar in 15 days. If they work on it together for 4 days, then the fraction of the work that is left is:

B is twice efficient as A and A can do a piece of work in 15 days. A started the work and after a few days B joined him. They completed the work in 11 days, from the starting. For how many days did they work together?

A trader makes a profit equal to the selling price of 75 articles when he sold 100 of the articles. What % profit did he make in the transaction?

Ramsukh bhai sells rasgulla(a favourite Indian sweets) at Rs.15 per kg. A rasgulla is made up of flour and sugar in the ratio 5:3. The ratio of price of sugar and flour is 7:3 (per kg). Thus he earns 66 \(\frac{2}{3}\)% profit. What is the cost price of sugar?

A reduction of 20% in the price of sugar enables a person to purchase 6 kg more for Rs. 240. What is the original price per kg of sugar?

The speed of scooter, car and train are in the ratio of 1 : 4 : 16. If all of them cover equal distance then the ratio of time taken/velocity for each of the vehicle is: