List of practice Questions

For what value of \( k \) does the following pair of equations yield a unique solution for \( x \), such that the solution is positive?

\(x^2 - 3y^2 = 0 \)
\(x^2 - 6y^2 + k = 0 \)

______ of different categories of problems often leads to design of improper solutions that fail to address the complexities of the problem. \bigskip
During the heated discussion, the leader of the group ______ refuted all the claims brought by his opponents. Later everybody acknowledged that he survived by most ______ luck. \bigskip
If \( a = \log 2, b = \log 3, c = \log 4 \), then the value of \( \log(abcd) \) would be:
“Unlike other retail outlets, where items are purchased in any number of units the customer wants, in super-markets items are grouped in bulk packages. This bulk buying offers savings to the customer. The option to buy at wholesale prices by buying in bulk makes super-markets a practical choice for budget-conscious consumers.” Which of the following is an assumption necessary to the author’s argument?
Transport of food material in higher plants takes place through
Genetic engineering has been successfully used for producing

Two blocks are connected over a massless pulley as shown in figure. The mass of block A is 10 kg and the coefficient of kinetic friction is 0.2. Block A slides down the incline at constant speed. The mass of block B in kg is: 

A spherical ball is dropped in a long column of viscous liquid. The speed v of the ball as a function of time t may be best represented by 

The power dissipated in the circuit shown in the figure is 30W. The value of R is

The magnetic field at the origin due to the current flowing in the wire shown is 

A d.c. battery of V volts is connected to a series combination of a resistor R and an ideal diode D as shown in the figure below. The potential difference across R will be 

Name of the following reaction is 

Which one of the following diagram represents the correct relationship among Colour, Black and White. 

Find out the alternative figure which contains figure (X) as its part. 

A piece of paper is folded and cut. From the figures given, indicate how it will appear when opened. 

Identify the figure that completes the pattern.

Find out which of the figures (a), (b), (c) and (d) can be formed from the pieces given in figure (X). 

Mahatma Gandhi : Porbandar :: Pt. Jawaharlal Nehru : ?
Statement: The education of a student at collegiate level, not taking into account maintenance expenses, costs four hundred rupees a year. Collegiate education is thus drawing heavily upon national resources of an impoverished community. So college education should be restricted to a brilliant few. Assumptions: I. Our resources are very limited. II. Only a few students should be admitted to the colleges.
In a code language, if BANGED is coded as JJKQCC, then the word STRAY will be coded as
2, 3, 7, 22, 155, ?
Which sentence will come complete the passage?
Which sentence will come third after the rearrangement?
Which sentence will start the passage?