List of practice Questions

The integer just greater than (3+√(5))²n is divisible by (n∈N)
The domain of the function f(x)=sin⁻1(log₂((1)/(2)x²)) is
If A, B, C are the angles of a triangle and eⁱA, eⁱB, eⁱC are in A.P., then the triangle must be
Let f and g be functions from R to R defined as
\( f(x) = \begin{cases} 7x^2 + x - 8, & x \le 1 \\ 4x + 5, & 1 < x \le 7 \\ 8x + 3, & x > 7 \end{cases} \)
\( g(x) = \begin{cases} |x|, & x < -3 \\ 0, & -3 \le x < 2 \\ x^2 + 4, & x \ge 2 \end{cases} \)
Then
How many different eight digit numbers can be formed from the number 22335588 by rearranging its digits if odd digits occupy even positions?
If sumk=1ⁿ k(k+1)(k-1)=pn⁴+qn³+tn²+sn, where p,q,t and s are constants, then the value of s is equal to
The length of the semi-latus rectum of an ellipse is one third of its major axis, its eccentricity would be
If α and β are roots of the equation x²+px+(3p)/(4)=0, such that |α-β|=√(10), then p belongs to the set
(?), PSVYBE, EHKQNQ, TWZCFI, ILORU
Statements: Politicians become rich by the votes of the people. Assumptions: I. People vote to make politicians rich. II. Politicians become rich by their virtue.
Two statements are given followed by four conclusions I, II, III and IV. You have to consider the statements to be true, even if they seem to be at variance from commonly known facts. You have to decide which of the given conclusions can definitely be drawn from the given statements. Statements: (A) No cow is a chair. (B) All chairs are tables. Conclusions: I. Some tables are chairs. II. Some tables are cows. III. Some chairs are cows. IV. No table is a cow.
Statements: 1. Temple is a place of worship. 2. Church is also a place of worship. Conclusions: I. Hindus and Christians use the same place for worship. II. All churches are temples.
M is the son of P. Q is the grand daughter of O who is the husband of P. How is M related to O?
Vinod introduces Vishal as the son of the only brother of his father's wife. How is Vinod related to Vishal?
AGMSY, CIOUA, EKQWC, ? IOUAG, KQWCI
The treasure was hidden a big shore.
My father gave me (a) a pair of binocular (b) on my birthday. (c) No error. (d)
Meticulous
To write well, a person must himself in
Initially it is difficult to write because
According to the passage, writing style can be improved by
Famous writers have achieved success by
China is a big country, in area it is bigger than any other country Russia.
Electrometallurgical process is used to extract
Correct formula of the complex formed in the brown ring test for nitrates is