Archives

Find the simple interest on Rs. 4000 at 7.5% p.a. for 3 years 3 months. Also, find the amount.

Solution: Given principal, P = Rs. 4000 Rate of interest, R = 7.5% Time, T = 3 years 3 months = 3 + (¼) = 13/4 years Simple interest,... View Article

Convert the following decimal to fraction. 1.75

Solution: To convert decimal to fraction, take the given decimal without the decimal point as the numerator. For the denominator, form a number... View Article

Find the value of tan 240⁰.

(a) √3 (b) -1 (c) -√3 (d) none of these Solution: tan 2400 = tan (180+60)0 180+θ is in the third quadrant. tan is... View Article

Write down the decimal expression of 16/3125 without actual division.

Solution: 16/3125 = 16/55 Multiply numerator and denominator by 25 => 16 × 25/55 × 25 = 16 ×32/(5 ×2)5 = 512/105... View Article

If x²+y² = 1, then

(a) yy’’-2(y’)2+1 = 0 (b) yy’’+(y’)2+1 = 0 (c) yy’’-(y’)2+1 = 0 (d) none of these... View Article

What is the nth term of the sequence 1, 5, 9, 13, 17?

(a) 2n-1 (b) 2n+1 (c) 4n-3 (d) none of these Solution: Given series is an AP. Here first term, a = 1 Common difference, d = 5-1 = 4 Nth... View Article

What is the number which is 5% more than 600?

(a) 605 (b) 650 (c) 630 (d) none of these Solution: Let x be the number. We can write x = 600 + (600×5/100) = 600 + 30 = 630 Hence... View Article

Amit bought a calculator for Rs. 960 and sold it for Rs 1104. Find his gain and gain percent.

Solution: Cost price of calculator = 960 Rs Selling price = 1104 Rs The selling price is greater than the cost price. So Amit got profit.... View Article

If log₁₀ 2 = 0.3010, the value of log₁₀ 80 is

(a) 1.6020 (b) 1.9030 (c) 3.9030 (d) none of these Solution: Given log10 2 = 0.3010 log10 80 = log10(8×10) = log108 + log1010 =... View Article

Find the class marks of classes 10 – 25 and 35 – 55.

Solution: The average of the actual upper limit and actual lower limit for a given class is called the class mark. Class mark of 10-25 =... View Article

Find three consecutive even numbers whose sum is 96.

Solution: Let x-2, x, x+2 be the 3 consecutive even numbers. Given that sum = 96 => x-2 + x + x+2 = 96 => 3x = 96 => x = 96/3... View Article

Find the identity element with respect to addition in integers?

(a) 1 (b) -1 (c) 0 (d) none Solution: The element of a set of numbers that when combined with another number in a particular operation... View Article

If the cost of 1 sapling is 30 rupees, then what is the cost of such 8 saplings?

(a) 420 (b) 800 (c) 240 (d) 200 Solution: The cost of 1 sapling = 30 rupees The cost of 8 saplings = 8×30 = 240 rupees Hence option... View Article

Find the area of a rectangle whose length and breadth are 25 cm and 16 cm.

Solution: Given length of rectangle = 25 cm Breadth of the rectangle = 16 cm Area of rectangle = length × breadth = 25 × 16 =... View Article

The value of sin²60 + cos²60 is equal to

(a) 2 (b) 1 (c) 3 (d) 0 Solution: We know sin2θ + cos2θ = 1. So sin260 + cos260 = 1. Hence option b is the answer.... View Article

Change the following statement into passive voice: The tiger caught a fox.

(a) A fox has been caught by the tiger. (b) A fox was caught by the tiger. (c) A fox is caught by the tiger. (d) A fox had been caught by the... View Article

A cylindrical road roller made of iron is 1m wide. Its inner diameter is 54 cm and the thickness of the iron sheet rolled into the road roller is 9 cm. Find the weight of the roller, if 1 c.c of iron weighs 8 gm.

Solution: Given inner diameter = 54 cm Inner radius, r = 54/2 = 27 cm Thickness = 9 cm Outer radius, R = 27+9 = 36 cm Height of cylindrical... View Article

Find the value of sin (π+θ) sin(π-θ) cosec²θ

(a) 1 (b) -1 (c) sin θ (d) -sin θ Solution: sin (π + θ) = -sin θ sin (π - θ) = sin θ sin... View Article

Write the first four terms of the AP, when the first term a and the common difference d are given as follows: a = 4, d = -3.

Solution: Given a = 4, d = -3 Second term = a+d = 4-3 = 1 Third term = a+2d = 4-6 = -2 Fourth term = a+3d = 4-9 = -5 Hence the first four... View Article

Find a quadratic equation whose roots are α and β such that α + β = 3 and α³ + β³ = 9.

Solution: Given α + β = 3 and α3 + β3 = 9. We know that (α + β)3 = α3 + β3 + 3αβ(α... View Article