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... View Article
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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... 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... View Article
Solve (-3) + 7- (19)
Answer: (-3) + 7- (19) = -3 + 7 – 19 = 4 – 19 = -15
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... 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... 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 +... View Article
Opposite gender of bride
Answer: Opposite gender of bride is bridegroom.
The factors of x4 + x2 + 25 are
(A) (x2 + 3x + 5)(x2 – 3x + 5) (B) (x2 + 3x + 5)(x2 + 3x – 5)... 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.... 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.... 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... 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 =... 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,... 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.... 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... 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... 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... View Article
What is the reciprocal of
What is the reciprocal of \(\begin{array}{l}1\frac{3}{4}\end{array} \) Solution: Given \(\begin{array}{l}1\frac{3}{4}\end{array} \). This is a mixed fraction. Convert it to improper... View Article
The electron density between 1s and 2s orbital is (A) High (B) Low (C) Zero (D) Abnormal
Zero We know the region between 1s and 2s orbital is a nodal plane. Nodal plane is the region in... View Article
