If the denominator of a certain fraction increased by 1 and the numerator by 2.The fraction becomes equal to 5/8 and if the numerator and denominator are diminished by 1, the fraction becomes equal to 1⁄2. Find the fraction.

The parallel sides of an isosceles trapezium are 16cm and 28cm and equal sides are 24cm each. Find the area ?

The sum of the digits of a two-digit number is 7. If the digits are reversed, the number is reduced by 27. Find the number?

Venu has as many sisters as he has brothers. If Karuna, Venu’s sister has thrice as many brothers as she has sisters, then Venu has how many sisters?

A pit 10 m long and 2 m wide is filled with 4.8 cubic m. of sand. What is the depth of the pit?

The circumference of Earth is estimated to be 40,030 kilometers at the equator. Which of the following best approximates the diameter, in miles, of Earth's equator? (1 kilometer $almost equal to 0.62137$ miles)

Note:
There are many other units of length which are often used. For example: inch, foot, yard, centimetre, parsec, lightyear, nanometre, etc. They measure anything between atoms to a galaxy.
Some relations between them are given by
1 kilometer = 39370.0787 inches = 3280.84 feet = 100000 centimetre
1 mile = 63357 inches = 5279.75 feet = 160926.94 centimetre

The circumference of Earth is estimated to be 40,030 kilometers at the equator. Which of the following best approximates the diameter, in miles, of Earth's equator? (1 kilometer $almost equal to 0.62137$ miles)

Length of the fence of a trapezium shaped field ABCD is 120m. If BC = 48m , CD = 17m and AD = 40m , Find the area of this field. Side AB is perpendicular to the parallel sides AD and BC.

Mukesh has some goats and hens in his shed. Upon counting, Mukesh found that the total number of legs is 112 and the total number of heads is 40. Find the number of hens in his shed.

The capacity of a cup is 300 ml. The capacity of a jug is twice that of a cup. What is the capacity of 3 cups and 3 jugs?

A mother said to her son, ‘the sum of our present ages is twice my age 12 years ago and nine years hence, the sum of our ages will be thrice my age 14 years ago’. What is her son’s present age?

The cross section of a canal is a trapezium is shape. If the canal is 10m wide at the top and 6m wide at the bottom and the area of cross section is 840sq.m. Find the depth of the canal?

A certain colony of bacteria began with one cell, and the population doubled every 20 minutes. What was the population of the colony after 2 hours?

Note:
This is a logical question and doesn’t require any prior knowledge except the idea of multiplication. This could also be solved by simply making a table with an interval of 20 min and population which is multiplies by 2 in consecutive cells till we get 2 hours.

A certain colony of bacteria began with one cell, and the population doubled every 20 minutes. What was the population of the colony after 2 hours?

A Rectangular sheet of paper, 36 cm x 22 cm, is rolled along its length to form a cylinder. Find the volume of the cylinder so formed?

The parallel sides of a trapezium are 20cm and 10cm. Its non parallel sides are both equal. Each being 13cm. Find the area of the trapezium ?

In a fraction, if the numerator is increased by 2 and the denominator is decreased by 3, then the fraction becomes 1. Instead, if the numerator is decreased by 2 and denominator is increased by 3, then the fraction becomes 3/ 8. Find the fraction.