Archives

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 54. LCM = Product of numbers/HCF =... 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. Prime numbers are 2, 17, 13, 41, 31. Sum of... 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:... 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 = 50 cm2 Hence the area of a... 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 = sin (π - π/4) = sin 3π/4 sin π/4... View Article

Find 2 times 6.

Solution: 2 times 6 = 2× 6 = 12 Hence 2 times 6 equals 12.... View Article

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, 6, 10, 12, 15, 20, 30, 60 Factors of 210 = 1, 2, 3, 5, 6, 7, 10,... 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 ( y + x dy/dx) = 0 => (dy/dx) [ 2 sin y cos y - x... View Article

A man spends 35% of his income on food, 25% on children’s education, and 80% of the remaining on house rent. What percent of his income he is left with?

Solution: Amount spent on food = 35% Amount spent on children's education = 25% Total amount spent = 35+25 = 60% Remaining amount = 40%... View Article

How many litres of milk can a hemispherical bowl of diameter 10.5 cm hold? [Assume π = 22/7]

Solution: Diameter of hemispherical bowl = 10.5 cm Radius = 10.5/2 = 5.25 Volume of hemispherical bowl = (2/3)πr3 = (⅔)(22/7)5.253 =... View Article

The circumference of a circle is equal to its area. Find its radius.

Solution: Circumference of a circle = 2πr Area of circle = πr2 Given circumference of a circle is equal to its area. => 2πr =... View Article

Which of the following pairs of angles are supplementary?

(i) 650, 1150 (ii) 630, 270 (iii) 1120, 680 (iv) 1300, 500 (v) 450, 450 (vi) 800, 100 Solution: If the sum of two angles is 1800, then... View Article

A lot consists of 144 ball pens of which 20 are defective and the other are good. Nuri will buy a pen if it is good, but will not buy it if it is defective. The shopkeeper draws one pen at random and gives it to her. What is the probability that (i) she will buy it? (ii) she will not buy it?

Solution: Total number of pens = 144 Number of defective pens = 20 Number of good pens = 144 - 20 = 124 (i) Probability that she will buy it... View Article

Archives

If HCF (336, 54) = 6, find LCM (336, 54).

The sum of prime numbers, out of the numbers 17, 8, 21,13, 41, 2, 27, 31, 51 is:

Find the mode of given data.

A square whose diagonal is 10 cm long has an area equal to

Find the principal solution or solution of sin x = 1/√2.

Find 2 times 6.

Find the common factors of 75, 60, and 210.

Differentiate sin² y + cos xy = k.

A man spends 35% of his income on food, 25% on children’s education, and 80% of the remaining on house rent. What percent of his income he is left with?

How many litres of milk can a hemispherical bowl of diameter 10.5 cm hold? [Assume π = 22/7]

The circumference of a circle is equal to its area. Find its radius.

Which of the following pairs of angles are supplementary?

A lot consists of 144 ball pens of which 20 are defective and the other are good. Nuri will buy a pen if it is good, but will not buy it if it is defective. The shopkeeper draws one pen at random and gives it to her. What is the probability that (i) she will buy it? (ii) she will not buy it?

Find the value of : 8 – 6 + (-2) – (-3) + 1

When 1/10 percent of 5000 is subtracted from 1/10 of 5000, the difference is

The instrument in the geometry box having the shape of a triangle is called a

Fill in the blank with the most appropriate question tag:

(1 – sin A)/cos A is equal to

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