Find the square root of 49 by successive subtraction.
To find: √49 The steps to find the square root of 49 is as follows: 49 – 1 = 48... View Article
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Show that the diagonals of a square are equal and bisect each other at right angles?
Given Let ABCD be a square and its diagonals AC and BD intersect each other at point O. To Prove... View Article
Draw a line segment AB of length 8 cm. Taking A as centre, draw a circle of radius 4 cm and taking B as centre, draw another circle of radius 3 cm. Construct tangents to each circle from the centre of the other circle.
Steps of Construction: Step 1: Draw a line segment AB of length 8 cm Step 2: Taking A as center... View Article
A lending library has a fixed charge for the first three days and additional charge for each day thereafter. Saritha paid Rs. 27 for a book kept for seven days, while Susy paid Rs. 21 for the book she kept for five days. Find the fixed charge and the charge for each extra day.
Consider the fixed charge = Rs x Extra charge = Rs y As per the question x + 4y =... View Article
Sirisha said “Every Rectangle is a parallelogram”. Do you agree with Sirisha? Give reasons.
Yes I agree with Sirisha that every rectangle is a parallelogram. There are two pairs of equal, opposite and parallel... View Article
How 432 seconds is equal to 7 min 12 seconds?
We know 1 min = 60 sec 432 sec = 432/60 min We get, = 7.2 min 1 min =... View Article
Additive inverse of 7 upon 5 is:
The additive inverse of 7/5 is -7/5. 7/5 + (-7/5) = 7/5 – 7/5 = 0
Passing percentage marks in an exam are 40% a student obtained 72 out of 200. By what percent did he fail?
Given, Passing percentage marks in an exam are 40%. A student obtained 72 out of 200. Marks obtained by student... View Article
What is the name of horizontal and vertical lines draw to determine the position of any Point in the Cartesian plane?
The name of the horizontal and vertical lines drawn to determine the position of any Point in the Cartesian plane... View Article
Is there any natural number which has no successor ? Is there a last natural number?
By the definition of natural numbers, we know, they start from 1 and end at infinity. Every natural number has... View Article
[15(2-y)-5(y+6)=10]/1-3y. Solve.
[15(2-y)-5(y+6)=10]/1-3y 15(2−y)−5(y+6)=10(1−3y) 30−15y−5y−30=10−30y −15y−5y+30y=10−30+30 10y=10 y=10/10 = 1
Find the value of tan π/8
tan π/8 = tan (180/8) = tan (45/2) By the trigonometry formula, we know; tan A/2 = (1-cos A)/(sin A)... View Article
Find the additive inverse of 256.
The additive inverse of 256 is -256. 256 + (-256) 256 – 256 = 0
(2-7x)/(1-5x)=(3+7x)/(4+5x). Solve for x.
(2-7x)/(1-5x)=(3+7x)/(4+5x) By applying alternendo, \(\begin{array}{l}\frac{2-7 x}{3+7 x}=\frac{1-5 x}{4+5 x}\end{array} \) Now applying Componendo and Dividendo, \(\begin{array}{l}\begin{array}{l} \frac{(2-7 x)+(3+7 x)}{(2-7 x)-(3+7... View Article
State and verify Euler’s formula for a cube.
According to Euler’s formula for any solid, the number of Faces (F) and vertices (V) added together is exactly two... View Article
Why are antivirus software considered important ?
Antivirus software is important to protect your device such as computers, laptops or mobiles from malicious softwares that can corrupt... View Article
The Ajanta painting belongs to which period ? A) Harappan period B) Gupta period C) Buddhist period D) Mauryan period
Answer: B) Gupta period Mural paintings of Ajanta depicting the life of the Buddha as told in the Jataka tales... View Article
What do the civil servants do? (a)They take important policy decision (b)They implement the ministers’ decisions (c)They settle the disputes (d)None of the above
Answer: (b)They implement the ministers’ decisions A civil servant is a public servant employed by the government who serves and... View Article
The Basic Architecture of Computer was developed by A) Charles Babbage B) Blaise Pascal C) Garden Moore D) John Von Neumann
Answer: D) John Von Neumann
Competitions are helpful for the development of: (a) Social qualities (b) Selection of players (c) Sports skills (d) All the above
Competitions are helpful for the development of Social qualities, Selection of players, Sports skills. Hence the correct answer is option... View Article
