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Convert 40° 20′ into radian measure.

We know that, 1 degree = 60 min or 1° = 60′40° 20′ = 40° + 20′= 40° + (20°/60°)= 40° + (1/3)°=... View Article

How many sides does a triangle have?

A triangle has 3 sides. It is a three-sided closed two-dimensional figure. Thus, a triangle contains 3 sides and 3 vertices.... View Article

If x = 2, then (x – 1)(2x – 3) =

Given,x = 2Substituting the given value in (x - 1)(2x - 3),(2 - 1)[2(2) - 3]= 1(4 - 3)= 1Therefore, the value of (x - 1)(2x - 3) at x = 2 is 1.... View Article

The representation of octal number (532.2)₈ in decimal is

To convert an octal number to decimal number, multiply each digit of the given octal with the reducing power of 8 and add. (532.2)8 = (5 ×... View Article

The value of (8^-25 – 8^-26) is

(A) 7 × 8-25 (B) 7 × 8-26 (C) 8 × 8-26 (D) None of the above Correct option: (B) 7 × 8-26 (8-25 - 8-26) = (8-25 - 8-25 .... View Article

For any set A, (A’)’ is equal to

(a) A'(b) A(c) Φ(d) None of theseCorrect option: (b) AFor any set A, (A')' is equal to A.... View Article

Which of the following are not perfect cubes?

(i) 216 (ii) 128 (iii) 1000Let us verify the given numbers using prime factors.(i) 216Prime factorisation of 216 = 2 × 2 × 2 ×... View Article

The identity element of subtraction is

The identity element of subtraction is not defined. However, as we know, that identity element is a number that, when added, subtracted,... View Article

(-5) + (-8) = (-8) + (____)

LHS = (-5) + (-8)= -5 - 8 = -13LHS = RHS -13 = (-8) + (____)-13 + 8 = (____)(____) = -5Therefore, (-5) + (-8) = (-8) + (-5)... View Article

The diameter of a roller is 84 cm and its length is 120 cm. It takes 500 complete revolutions to move once over to level a playground. Find the area of the playground in metre square.

Given,Length of the roller (h) = 120 cm Diameter of the roller (d) = 84 cmThus, the radius of the roller (r) = 84/2 = 42 cm Curved surface area... View Article

If 27^x = 9/3^x, find x.

Given, 27x = 9/3x (33)x = 9/3x 33x = 32/3x 33x = 32 - x Bases are equal, so equate the powers. 3x = 2 - x 3x + x = 2 4x = 2 x = 2/4 x = 1/2... View Article

Reduce in standard form 36/-24.

The reduced form will be obtained when there is no negative sign in denominator and fractors are simplified.Let us find the HCF os 36 and 24.36 =... View Article

What is the degree of a quadratic equation?

The quadratic equation is also called a polynomial equation as it contains only powers of x that are non-negative integers. More specifically, it... View Article

By what number should -33/16 be divided to get -22/8?

Let x be the number by which -33/16 is divided.(-33/16) ÷ x = -22/8x = (-33/16) × (-8/22)x = (3/2) × (1/2)x = 3/4Therefore,... View Article

Choose the correct option. On an average, a content developer can develop 6 questions in an hour. Resource manager wants to complete the project of 2400 questions in 20 hours. How many developers should he take in his team?

(a) 30(b) 20(c) 40(d) 10Correct option: (b) 20Given,1 person - 1 hour - 6 questionsx persons - 20 hours - 2400 questionsThus, x = (2400/6)... View Article

The distance between two towns is 300 km. Two cars start simultaneously from these towns and move towards each other. The speed of one car is more than the other by 7km per hour. If the distance between the cars after 2 hours in 34km, find the speed of the cars.

Let’s assume the speed of the slower car to be x km/hr Then, the speed of the faster car will be (x + 7) km/hr Now, The distance covered by... View Article

If there are 150 babies born every minute, how many babies share the same birth date world wide? (a)2,24,000 (b) 2,16,000 (c) 2,25,000 (d) 2,18,000

Answer: (b) 2,16,000 There are 60 minutes in an hour and 24 hours in a day. So, 24 × 60 = 1440 minutes in a day. Hence, if 150 babies are... View Article