Mathematics Quiz

Which of the following statements is always true for any two proper fractions A and B such that A 1

• A – B A

• B. A – B < A

• C. A + B > 1

• D. B ÷ A < 1

A rectangle and a square have the same perimeter. If the rectangle has length 14 cm and breadth 4 cm, what is the area difference between the two?

• 24 cm²

• 16 cm²

• 36 cm²

• 12 cm²

Which expression is equivalent to –[–(–6) + (–2)]?

• –8

• 4

• –4

• 8

Which of the following is the factorised form of the expression: 4x² – 9y²?

• (2x – 3y)(2x – 3y)

• (4x – 9y)(4x + 9y)

• (2x – 3y)(2x + 3y)

• (x – y)(x + y)

If the area of a trapezium is 132 cm² and its height is 6 cm, and one base is twice the other, what are the lengths of the bases?

• 6 cm and 12 cm

• 8 cm and 16 cm

• 7 cm and 14 cm

• 9 cm and 18 cm

If a number is increased by 20% and then decreased by 20%, what is the net change in the number?

• Increased by 4%

• Decreased by 4%

• No change

• Decreased by 2%

The compound interest on a sum at 10% per annum for 2 years is ₹525. What is the simple interest on the same sum and rate for the same period?

• ₹520

• ₹500

• ₹510

• ₹525

Which of the following rational numbers lies between –4/7 and –2/7?

• –25/42

• –33/49

• –17/35

• –19/28

Simplify and find the value of: (3^2)^3 ÷ 3^4

• 27

• 81

• 243

• 9

A cube and a cuboid have the same volume. The cube has an edge of 6 cm. The cuboid has base area 54 cm². What is its height?

• 6 cm

• 4 cm

• 8 cm

• 9 cm