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The sum of three consecutive integers is 24. Find the product of the integers.

(a) 504 (b) 720 (c) 540 (d) none of these Solution: Let x-1, x, x+1 be the three consecutive integers. Given sum = 24 => x-1 + x + x+1... View Article

If -4 is a root of the quadratic equation x² + px – 4 = 0 and the quadratic equation x² + px + k = 0 has equal roots. the value of k is

(a) 9/4 (b) 4/9 (c) 3 (d) none of these Solution: Given -4 is a root of the quadratic equation x2 + px - 4 = 0. Put -4 in x2 + px - 4 = 0... View Article

Find the volume of a cube of side 0.01 cm.

(a) 0.000001 cm3 (b) 0.0001 cm3 (c) 0.01 cm3 (d) 1 cm Solution: Let a be the side of the cube. Given a = 0.01 cm Then volume of the cube =... View Article

sin 2A = 2 sin A is true when A =

(a) 300 (b) 00 (c) 450 (d) 900 Answer: Given sin 2A = 2 sin A …(i) We have sin 2A = 2 sin A cos A…(ii) Equating (i) and (ii)... View Article

Solve (-3) + 7- (19)

Answer: (-3) + 7- (19) = -3 + 7 - 19 = 4 - 19 = -15... View Article

Name the outer covering of a seed.

Answer: The outer protective covering of a seed is called seed coat. It has two layers. Testa is the outer layer that is thick. Tegmen is the... View Article

Which one of the following is an insectivorous plant?

(a) Balanophora (b) Rafflesia (c) Orobanche (d) Drosera Answer: Drosera is also known as Sundew which is one of the largest genera of... View Article

Solve the quadratic equation 2x²+ ax – a²= 0 for x

Answer: Given 2x2 + ax - a2 = 0 2x2 + 2ax - ax - a2 = 0 2x(x + a) - a(x + a) = 0 (x + a) (2x - a) = 0 => x + a = 0 or (2x - a) = 0 =>... View Article

Opposite gender of bride

Answer: Opposite gender of bride is bridegroom.... View Article

The factors of x⁴ + x² + 25 are

(A) (x2 + 3x + 5)(x2 - 3x + 5) (B) (x2 + 3x + 5)(x2 + 3x - 5) (C) (x2 + x + 5)(x2 - x + 5) (D) none of these Answer: x4 + x2 + 25 = x4... View Article

Write the place value of 7 in 97856.

(a) 700 (b) 7 (c) 70 (d) 7000 Answer: Place value denotes the position of a digit in a number. The order of place value of digits in a... View Article

The Indus Valley houses were built of

(A) bamboos (B) burnt bricks (C) mud (D) marbles Solution: Indus Valley civilisation had a great system of urban infrastructure. It had... View Article

The cube root of 0.001

(a) 10-1 (b) 10-2 (c ) 10-3 (d) none of these Answer: 0.1×0.1×0.1 = 0.001 0.1 = 1/10 = 10-1 Cube root of 0.001 is 10-1. Hence... View Article

2b/3 – 5 = 3 Solve this equation.

Answer: 2b/3 - 5 = 3 Take 5 to RHS 2b/3 = 3 + 5 2b/3 = 8 2b = 24 b = 24/2 So b = 12... View Article

Express 36 as the sum of twin prime.

Solution: Two prime numbers which differ by 2 are called twin prime. For example, 3 and 5, 5 and 7, etc. 36 = 17 + 19 17 and 19 are the twin... View Article

Which enzyme present in saliva breaks down starch?

Answer: Salivary amylase is an enzyme that is secreted by the salivary gland helps in the chemical breakdown of starch. The digestion of the... View Article

Solve (3y + 4)/(2 – 6y) = -2/5

Answer: (3y + 4)/(2 - 6y) = -2/5 Cross multiply 5(3y + 4) = -2(2 - 6y) 15y + 20 = -4 + 12y 3y = -24 y = -8... View Article

1 picometer is ___ centimeter.

(A) 10−8 (B) 10-9 (C) 10−10 (D) 1010 Solution: 1 picometer = 10-12m 1 m = 100 cm So 1 picometer = 10-10cm Hence option C is... View Article

Prove that cos 2x = (1-tan²x)/(1 + tan²x)

Solution: cos 2x = cos2x - sin2x = (cos2x - sin2x)/1 = (cos2x - sin2x)/(cos2x + sin2x) = cos2x(1- sin2x/cos2x)/cos2x(1 + sin2x/cos2x) = (1 -... View Article

What is the reciprocal of

What is the reciprocal of Solution: Given . This is a mixed fraction. Convert it to improper fraction. = 7/4 Reciprocal is 4/7.... View Article

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