A man bought 3 toffees for a rupee. How many toffees for a rupee should he sell to gain 50%?
(a) 2 (b) 3 (c) 4 (d) 1 Solution: Cost price of 3 toffees = 1 Rs Profit = 50%... View Article
Latest Posts
Solve the following 7 + 2 x = 37
Solution: Given 7 + 2x = 37 => 2x = 37 – 7 => 2x = 30 => x =... View Article
Find the solution of 2x – 3 > 7
Solution: Given 2x – 3 >7 => 2x > 10 => x > 5 Therefore x ∈ (5, ∞).
Write the smallest equivalence relation on the set {1, 2, 3}.
Solution: A relation is an equivalence relation if and only if it is reflexive, symmetric and transitive: A = {1,2,3}... View Article
Which of the following equations has no real roots?
(A) x2 – 4x + 3√2 = 0 (B) x2 + 4x – 3√2 = 0 (C) x2 – 4x... View Article
Which of the following numbers is not a perfect cube?
(A) 512 (B) 2917 (C) 2197 (D) 343 Solution: (A) 2197 is the cube of 13. (B) 512 is the... View Article
Check whether the following are perfect cubes?
(i) 400 (ii) 216 (iii) 729 (iv) 250 (v) 1000 (vi) 900 Solution: The perfect cube is the result of... View Article
Write the following sets in descriptive form
(i) A = {a, e, i, o, u} (ii) B = {1, 3, 5, 7, 9, 11} (iii) C =... View Article
Evaluate the following 150 ÷ (-25)
Solution: 150 ÷ (-25) = 150/-25 = -6 Hence -6 is the answer.
Find the missing number in the series? 4, 18, ?, 100, 180, 294, 448
(A) 48 (B) 50 (C) 58 (D) 60 Solution: Given series 4, 18, ?, 100, 180, 294, 448 23 –... View Article
What is the square root of 32 over 4 expressed in simplest radical form?
Solution: √32/4 = √(16×2)/4 = 4√2/4 = √2 We get the simplest radical form of √32/4 as √2.
Triangle having two sides of equal length is
(A) Equilateral (B) Scalene (C) Isosceles (D) Acute angled Solution: Triangle having all sides equal is an equilateral triangle. Triangle... View Article
If HCF (336, 54) = 6, find LCM (336, 54).
Solution: We know LCM × HCF = product of two numbers Given HCF = 6 and numbers are 336 and... View Article
The sum of prime numbers, out of the numbers 17, 8, 21,13, 41, 2, 27, 31, 51 is:
(A) 125 (B) 102 (C) 104 (D) 155 Solution: Given numbers are 17, 8, 21,13, 41, 2, 27, 31, 51.... View Article
Find the mode of given data.
Marks 0-10 10-20 20-30 30-40 40-50 Frequency 20 24 40 36 20 Solution: Mode = l + [(f1 – f0)/(2f1... View Article
A square whose diagonal is 10 cm long has an area equal to
Solution: Diagonal of square = √2a = 10 => a = 10/√2 Area of square = a2 = (10/√2)2 =... View Article
Find the principal solution or solution of sin x = 1/√2.
Solution: Given sin x = 1/√2 => x = π/4 sin (π – x) = sin x => sin π/4... View Article
Find 2 times 6.
Solution: 2 times 6 = 2× 6 = 12 Hence 2 times 6 equals 12.
Find the common factors of 75, 60, and 210.
Solution: Factors of 75 = 1, 3, 5, 15, 25, 75 Factors of 60 = 1, 2, 3, 4, 5,... View Article
Differentiate sin2 y + cos xy = k.
Solution: Given sin2y + cos xy = k. Differentiate w.r.t.x 2 sin y cos y (dy/dx) – sin xy (... View Article
