List of practice Questions

Read the following information carefully and answer the question given below:
A is the son of B. C, B's Sister, has a son D and a daughter E. F is the maternal uncle of D. How is E related to F? 

Figure (x) is embedded in which one of the four alternatives

Choose the group of letters which is different from others:
POCG, BUDX, ATRG, ZIKL, FQMV

National Development Council was constituted on____.

If a=cos2α+isin2α and b=cos2β+isin2β then _______

If y = x²+x²+x+1, then y________

The mean of 50 items is 100. At the time of calculations, two items 80 and 190 were wrongly taken as 90 and 20. What is the correct value of the mean?

If f: R→R is defined by f(x)=3x²-5 and g: R→R by g(x)=\(\frac{x}{x+1}\) then gof(x) is

The number of vectors of unit length perpendicular to vectors \(\vec{a}\) = (1,1,0) and \(\vec{b}\) = (0,1,1) is

Let A(3, 0, - 1) , B(2, 10, 6) and C(1, 2, 1) be the vertices of a triangle and M be the mid-point of AC. If G divides BM in the ratio 2:1, then cos( ∠GOA ) (O being the origin) is equal to______.

If A = 26, SUN = 27 then CAT = ?

If A, G, H be respectively, the A.M., G.M., and H.M. of three positive numbers a, b, c; then the equation whose roots are these numbers is given by

If \(\vec{a},\vec{b},\vec{c}\) are non-coplanar unit vectors such that \(\vec{a}\times(\vec{b}\times \vec{c})=\frac{(\vec{b}+\vec{c})}{\sqrt2}\) then the angle between a and b is

The equation of the bisector of the acute angle between the lines 3x-4y+7=0 and 12x+5y-2=0

Given below are two statements: One is labelled as Assertion (A) and the other is labelled as Reason (R):
Assertion (A): Equation 5x-7y+z=11, 6x-8y-z=15 and 3x+2y-6z=7, then the system is consistent and has infinitely many solutions.
Reasons (R): If D=0 then the 3 linear equations is consistent and has infinitely many solutions if D₁ = D₂ = D₃=0.
In the light of the above Statements, choose the correct answer from the options given below :

if \(\vec{a}\), \(\vec{b}\) and \(\vec{c}\) are three non-coplanar vectors, then \((\vec{a}+\vec{b}+\vec{c}) [(\vec{a}+\vec{b})\times(\vec{a}+\vec{c})]\) equal to

The joint equation of the straight line x + y =1 and x-y = 4 is

The area of the region bounded by the curve x²=4y and the straight line x = 4y - 2 is

If log₃2,log₃(2^x-5) and log₃(2^x-7/2) are in A.P., then x is equal to

A tower standing on a horizontal plane subtends a certain angle at a point 160 m apart from the foot of the tower. On advancing 100 m towards it, the tower is found to be subtend an angle twice as before. Find the height of the tower?

If tanα=1/3, tanβ=1/7 and 2α + β = m, then sin 2m is equal.

If the angle between the two lines 2x²+5xy +3y² +6x+7y+4=0 is represented by tan^-1(m), then m is equal to

When even parity ASCII text is transmitted asynchronously at a rate of 10 characters per sec. over a 110-bps line, what percentage of the received bits actually contain data

The values of x and y, if (x 567)₈+ (2yx5)₈ = (71yx)₈

Given below are two statements: One is labelled as Assertion (A) and the other is labelled as Reason (R):
Assertion (A): If the equation x²+ px+q=0 has rational roots and p and q are integers, then the roots are integers.
Reasons (R): A quadratic equation has rational roots if and only if its discriminant is a perfect square of a rational number.
In the light of the above Statements, choose the most appropriate answer from the options given below :