Basic Algebraic Identities of School Algebra & Elementary Surds · Quantitative Aptitude · SSC CGL Tier I
Start PracticeMCQ (Single Correct Answer)
SSC CGL Tier I - 27th July 2023 Shift 3
The sum of the cubes of two given natural numbers is 9728, while the sum of the two given numbers is 32. What is the positive difference between the c...
SSC CGL Tier I - 27th July 2023 Shift 3
If (x + $\frac{1}{x}$) = 6, and x > 1, find the value of (x2 - $\frac{1}{x^2}$)....
SSC CGL Tier I - 27th July 2023 Shift 2
If x2 - $\frac{1}{x^2}$ = 4 $\sqrt2$, what is the value of x4 - $\frac{1}{x^4}$?...
SSC CGL Tier I - 27th July 2023 Shift 2
Simplify the given expression.
$\frac{[120\times120\times120-100\times100\times100]}{[120\times120+120\times100+100\times100]}$
...
SSC CGL Tier I - 27th July 2023 Shift 2
If (a + b + c) = 14, and (a3 + b3 + c3 - 3abc) = 98, find the value of (a2 + b2 + c2)....
SSC CGL Tier I - 27th July 2023 Shift 1
The difference between the cubes of two given natural numbers is 6272 , while the positive difference between the two given numbers is 8. What is the ...
SSC CGL Tier I - 27th July 2023 Shift 1
If 2x + 3y = 16 and xy = 9, then find 8x3 + 27y3
SSC CGL Tier I - 27th July 2023 Shift 1
If x + y = 25 and xy = 20, then find the value of x3 + y3.
SSC CGL Tier I - 26th July 2023 Shift 4
If (a + b + c) = 14, and (a3 + b3 + c3 - 3abc) = 98, find the value of (ab + bc + ca)
SSC CGL Tier I - 26th July 2023 Shift 4
The sum of the cubes of two given natural numbers is 9728, while the sum of the two given numbers is 32 . What is the product of the two given numbers...
SSC CGL Tier I - 26th July 2023 Shift 4
Expand and simplify the algebraic expression:
(x - 5)2 + (x + 3)2 + 4x
SSC CGL Tier I - 26th July 2023 Shift 3
If $(x + {1\over x}) = \sqrt6 $, and x > 1, what is the value of $(x^8 - {1 \over x^8}) $?...
SSC CGL Tier I - 26th July 2023 Shift 3
If b = 5, determine the value of an expression $({5 \over b} + 5b)$ $({25 \over b^2} - 25 + 25b^2)$ using an identity....
SSC CGL Tier I - 26th July 2023 Shift 3
If $(x - {1 \over x}) = 10,$ what is the value of $(x^4 - {1 \over x^4})$?
SSC CGL Tier I - 26th July 2023 Shift 2
If (a3 + b3 + c3 - 3abc) = 405, and (a - b)2 + (b - c)2 + (c -a)2 = 54, find the value of (a + b + c)....
SSC CGL Tier I - 26th July 2023 Shift 2
If (a + b + c) = 13, and (ab + bc + ca) = 54, find the value of (a2 + b2 + c2).
SSC CGL Tier I - 26th July 2023 Shift 2
If x +$\rm \frac{1}{x}$ = 1, then the value of $\frac{x^2+7x+1}{x^2+11x+1}$ = ?...
SSC CGL Tier I - 26th July 2023 Shift 2
What is the value of 6 - (6 ÷ 2 - 3 + 7 - 2) × [{3 - 2 ÷ 2} × 5 - 6]?
SSC CGL Tier I - 26th July 2023 Shift 1
If x2 - 8x - 1 = 0, what is the value of $x^2 + { \ {1} \over x^2}$?
SSC CGL Tier I - 26th July 2023 Shift 1
If $ \left({x^2} + {{ 1} \over x^2}\right) = 6$, and 0 < x < 1, what is the value of $ {x^4} - {{ 1} \over x^4}$?...
SSC CGL Tier I - 26th July 2023 Shift 1
If $x = {1 \ \over x - 3}$, (x > 0), then the value of $x + {1 \ \over x}$ is:...