List of practice Questions

A doctor attends five patients in 45 minutes. How many hours he has to work if he has to attend 50 patients?

The following question has two blanks, each blank indicating something has been omitted. Choose the word for each blank which best fits the meaning of the sentence as a whole.
Much of what India would be able to achieve.........the next 25 years will depend on how its economy..........
The following question has two blanks, each blank indicating something has been omitted. Choose the word for each blank which best fits the meaning of the sentence as a whole.
The United States and European Union are………………from high inflation and the word's two biggest central banks ………instituted tighter monetary policy and hiked policy rates.
Out of the four given alternatives, choose the one which is OPPOSITE in meaning to the given word: GERMANE

The following question has two blanks, each blank indicating something has been omitted. Choose the word for each blank which best fits the meaning of the sentence as a whole.
State Governments should not …………………'non-merit freebies 'such as gifts and consumer durables………….their fiscal capabilities.

Read the following passage and answer the question
Trends in resource mobilization by Corporates as reported by SEBI. Resource mobilised through equity issuances stood at 24,461 crore during March 2022 compared to 29,671 crore in February 2022. Overall, 10 IPOs listed during the month garnering 175 crore, comprising wholly of SMEs/startups. In March 2022, there were & rights Issues which raised 879 crore compared to 113 crore in February 2022. Debt-fund raising through public issuances stood at ₹ 178 crore through one pubilia issue of corporate bonds closed in March 2022 as compared to 695 crore in February 2022 Amount raised through preferential allotment and QIP's during March 2022 stood at 3,407 crore as compared to 2,727 crore in February 2022. Private placement of corporate debt reported on exchanges increased to 77.564 crore dunng March 2022, compared to 49,304 crore in February 2022.
What is the total fund mobilized by Corporates by both equity and debt sources for March, 2022

Convert the sentence given in the question into DIRECT SPEECH.
He said Korean is easy to learn.
Convert the sentence given in the question into DIRECT SPEECH.
Varun said he didn't believe me.

Out of the four given alternatives,choose the one which best expresses the meaning of the given word: IMPERTURBABLE

Identify the correctly spelled word:
Identify the correctly spelled word:
If \(a_1, a_2, a_3\) ….. and \(b_1, b_2, b_3\) ….. are A.P., and \(a_1 = 2, a_{10} = 3, a_1b_1 = 1 = a_{10}b_{10}\), then \(a_4b_4\) is equal to
Study the table carefully to answer the questions that follow:
Year and Stream wise number of Students enrolled in Engineering Colleges-
StreamsElectricalElectronicsMechanicalCivilInformation Technology
Years
2001252447343506264
2002260470369590241
2003286514398600310
2004332545447678340
2005355620500623397
2006421646485640416
2007467580510710475
Given the quadratic equation \(x^2 – (A – 3)x – (A – 7) = 0\), for what value of A is the sum of squares of the roots 0?
If \(\begin{array}{l} \frac{6}{3^{12}}+\frac{10}{3^{11}}+\frac{20}{3^{10}}+\frac{40}{3^9}+\cdots +\frac{10240}{3}=2^n\cdot m, \end{array}\)where m is odd, then m⋅n is equal to ________.
The value of \(\cot\left(\sum_{n=1}^{50} \tan^{-1}\left(\frac{1}{1+n+n^2}\right)\right)\) is
The locus of the mid-point of the line segment joining the point (4, 3) and the points on the ellipse x2 + 2y2 = 4 is an ellipse with eccentricity:
A flask is filled with equal moles of A and B. The half lives of A and B are 100 s and 50 s respectively and are independent of the initial concentration. The time required for the concentration of A to be four times that of B is ________s.
(Given : In 2 = 0.693)
The value of the integral \(∫^2_{-2}\frac{ |x^3+x|}{(e^x|x|+1)}dx\) is equal to:
Number of electron deficient molecules among the following
\(PH_3, B_2H_6, CCl_4, NH_3, LiH \) and \(BCl_3\) is
Which one of the following is not a prime number?
A \(100\) \(mL\) solution of \(CH_3CH_2MgBr\) on treatment with methanol produces \(2.24\) \(mL\) of a gas at STP. The weight of gas produced is_____ mg. [nearest integer]

Let f : R → R be a continuous function satisfying f(x) + f(x + k) = n, for all x ∈ R where k > 0 and n is a positive integer. If
 \(l_1 = \int_{0}^{4nk} f(x) \, dx\) and \(l_2 = \int_{-k}^{3k} f(x) \, dx\), then

Let for n = 1, 2, …, 50, Sn be the sum of the infinite geometric progression whose first term is n2 and whose common ratio is 
\(\frac{1}{(n+1)^2}\) . Then the value of 
\(\frac{1}{26} + \sum_{n=1}^{50} \left(S_n+\frac{2}{n+1}-n-1  \right)\)
 is equal to ________.

A body of mass M at rest explodes into three pieces, in the ratio of masses 1 : 1 : 2. Two smaller pieces fly off perpendicular to each other with velocities of 30 ms–1 and 40 ms–1 respectively. The velocity of the third piece will be