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Sara has 400 marbles. if she gives (1/5)th of her marbles to Sam and Sam gives (3/4)th of his marbles to David, then how many marbles does Sam have left?

Given that Sara has 400 marbles.Number of marbles given to Sam = (1/5) × 400 = 80Number of marbles given to David by Sam = (3/4) × 80... View Article

Solve for x: x/4 + x/6 = x – 7

Given,x/4 + x/6 = x - 7(3x + 2x)/12 = x - 75x = 12(x - 7)5x = 12x - 8412x - 5x = 847x = 84x = 84/7x = 12Therefore, x = 12... View Article

The cumulative frequency table is useful in determining

(A) mean (B) median (C) mode (D) all of theseCorrect answer: (B) medianThe cumulative frequency table is useful in determining the median of... View Article

Difference Between: (1.00)³⁶⁵ = 1.00 and (1.01)³⁶⁵ = 37.7

The difference between the is presented as a power of compounding. The statement is a comparison about what has been accumulated over an entire... View Article

There are two pipes, an inlet pipe which completely fills a tank at 6 litre/min and an outlet pipe which empties the tank at 4 litre/min. The pipes function alternately for 1 minute and the inlet pipe is the first to function. Considering the capacity of the tank as 50 litres, how much time will it take to completely fill the tank?

Given, the capacity of the tank is 50 litres. Now, in the 1st minute the inlet pipe opened. So, 6 litres will be filled In the 2nd minute, the... View Article

Write any two differences between a collection and a set.

A well-defined collection is called a set. Whereas, a collection of objects may or may not be well defined. In a set there cannot be a... View Article

Solve: 7m + 19/2 = 13

Answer: Given, 7m + 19/2 = 13 7m = 13 - (19/2) 7m = (26 - 19)/2 7m = 7/2 m = (1/7) × (7/2) m = 1/2 Solve (-3) + 7- (19) Solve 2-9Z... View Article

What is favourable outcomes and probability?

A possible result of a random experiment is called its outcome. A favourable outcome is an outcome that denotes how many times we expect the... View Article

Write the prime factors of 84.

The prime factorisation of 84 is 2 × 2 × 3 × 7 or 22 × 3 × 7, where 2, 3 and 7 are the prime factors of 84.... View Article

What are non zero rational numbers?

A non-zero rational number includes integers, fractions, square roots and π that are not 0 and are not square roots of any negative numbers.... View Article

Find the value of sqrt 7 upto 3 decimal places

The value of root 7 up to 3 decimal places is 2.645.... View Article

ABC is a right angled triangle find b and c

Question: ABC is a right-angled triangle in which A = 90° and AB = AC. Find B and C.Solution: Given : A = 90° and AB = AC⇒ B = C... View Article

What is the highest power of 12 that divides 54

What is the highest power of 12 that divides 54!(a) 24(b) 25(c) 34(d) 27Solution: (b) 25... View Article

In a right triangle abc right angled at c m is the midpoint of hypotenuse

In right triangle ABC, right angled at C, M is the mid-point of hypotenuse AB. C is joined to M and produced to a point D such that DM = CM.... View Article

State basic proportionality theorem

Statement: 'If a line is drawn parallel to one side of a triangle intersecting the other two sides in distinct points, then the other two sides... View Article

Evaluate each of the following

Evaluate each of the following (a) (–30) ÷ 10 (b) 50 ÷ (–5) c) (–36) ÷ (–9) (d) (– 49) ÷ (49) (e) 13 ÷ [(–2) + 1] (f) 0 ÷ (–12) (g) (–31) ÷... View Article

How to find the Value of cosec 210°?

The value of cosec 210° is -2.... View Article

Write the given sets in roster form. a) Set of negative integers

C={...,−5,−4,−3,−2,−1}... View Article

An intern can do a job in 15 days. The manager and senior manager are busy with other priorities and thus take 25 and 40 days respectively to complete the task. How long will they take to finish the task if all of them work together

Working together, their one day’s work is given as: Hence, they wil finish their work in... View Article

On dividing x³-3x²+x+2 by a polynomial g(x),the quotient and remainder were x-2 and -2x+4 respectively. Find g(x).

Answer:... View Article