EASY
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x5 is a constant quantity.

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Important Questions on Variables

MEDIUM
If α and β are two real numbers such that α+β=qp and αβ=rp, where 1 < p < q < r, then which one of the following is the greatest?
MEDIUM
If 𝑥 = 1111 (20 digits), 𝑦 = 333.3 (10 digits) and 𝑧 = 222.2 (10 digits), then what is 𝑥𝑦2z equal to?
MEDIUM
If x=2+223+213, then the value of the expression x3-6x2+6x will be:
EASY

If x varies as y, then which of the following is/are correct?

1. x2+y2 varies as x2-y2.

2. xy2 varies inversely as y.

3. x2yn varies as x4y22n.

Select the correct answer using the code given below:

EASY
A sum of 8200 was divided among A,B and C in such a way that A has 500 more than B, and C has 300 more than A. How much was A's share (in )?
EASY
If a+b=2c , then what is the value ofaa-c+cb-c  ?
MEDIUM
If ab+bc+ca=0, then what is the value of a2a2-bc+b2b2-ca+c2c2-ab?
EASY
If ab+c=bc+a=ca+b, then which one of the following statements is correct?
MEDIUM
If 4x4-37x2+9=0x>32, then what is the value of 8x3-27x3?
MEDIUM
If a-12a=1, where a>0, then find the value of a2+16a2.
EASY
If xb+c=yc+a=zb-a , then which one of the following is correct?
EASY
If a=2b=8c and a+b+c=13 then the value of a2+b2+c22c is:
EASY
A real number x is such that x-x2 is maximum. What is x equal to?
MEDIUM
If by+zc=1 and cz+xa=1, then what is ab+xybx equal to?
EASY
if ax=by=cz and b2=ac, then what is 1x+1z equal to?
MEDIUM
If a2+c2+17=2(a-8b-2b2), then what is the value of (a3+b3+c3)?
HARD
ab(a-b)+bc(b-c)+ca(c-a) is equal to:
MEDIUM
For 15+23, find the rational value of denominator in vehicles. 
EASY

Check whether the following expression is with numbers only:

2z-13

MEDIUM

The diameter of a circle is a line which joins two points on the circle and also passes through the centre of the circle. (In the below figure AB is a diameter of the circle; C is its centre). Express the diameter of the circle (d) in terms of its radius (r).

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