List of practice Questions

The 9 edition of `Naseern Al Bahr , ' the biennial naval exercise, took place between the India, Navy and
A body can have acceleration even if its velocity is zero at that instant of time. The body will be momentarily at rest when it reverses its direction of motion.
If $ X+Y=\left[ \begin{matrix} 7 & 0 \\ 2 & 5 \\ \end{matrix} \right] $ and $ X-Y=\left[ \begin{matrix} 3 & 0 \\ 0 & 3 \\ \end{matrix} \right] $ , then X is equal to
A block is placed on a rough horizontal plane. A time dependent horizontal force $F = kt$ acts on the block, where $k$ is a positive constant. The acceleration - time graph of the block is:
One coolie takes 1 minute to raise a suitcase through a height of 2 m but the second coolie takes 30 s to raise the same suitcase to the same height. The powers of two coolies are in the ratio
If the image of point $P(2, 3)$ in a line $L$ is $Q(4,5)$, then the image of point $R(0,0)$ in the same line is:
A projectile is given an initial velocity of $(\hat{i} + 2\hat{j}) m/s$, where $\hat{i}$ is along the ground and $\hat{j}$ is along the vertical. If $g = 10 m/s^2$, then the equation of its trajectory is
The Wurtz-Fittig reaction involves condensation of:
Given, $E^\circ _{Cr ^{3+}/Cr} =-0.74\, V;E^\circ_{MnO^-_4/Mn^{2+}}=1.51\, V$ $\, \, \, \, \, E^\circ _{Cr_2 O ^{2-}_7/Cr^{3+}} =-1.33\, V;E^\circ_{Cl/Cl^-}=1.36\, V$ Based on the data given above strongest oxidising agent will be
Two blocks of mass $M_1 = 20\, kg$ and $M_2 = 12\, kg$ are connected by a metal rod of mass $8\, kg$. The system is pulled vertically up by applying a force of $480\, N$ as shown. The tension at the mid-point of the rod is :
The dimensions of a room are 10m × 7m × 5m . There are 2 doors and 3 windows in the room.The dimensions of the doors are 1m × 3m. One window is of size 2m × 1.5m and the other two windows are of size 1m × 1.5m. The cost of painting the walls at ₹ 3 per m2 is
A booster pump can be used for filling as-well-as for emptying a tank. The capacity of the tank to 2400 m3. The emptying capacity of the tank i8 10 m3 per min higher than its filling capacity and the pump needs 8 min lesser to empty the tank than it needs to fill it.What is the filling capacity of the pump?
A cistern, open at the top. is to be lined with sheet lead which weights 27 𝑘𝑔 / 𝑚3. The cistern is 4.5 m long and 3 m wide and holds 50 𝑚3. The weight of lead required is
A runs 1\(\frac{2}{3}\) times as fast as B. If A gives B a start of 3 80 in. How far must the winning post be so that A and B reach it at the same time?
There are two bags, one of which contains 3 black and 4 white balls, while the other contains 4 black and 3 white balls. A dice is cast.If the face 1 or 3 turns up, a ball is taken from the first bag and if any other face turns up a ball is chosen from the second bag. The probability of choosing a black ball is
A and B walk around a circular track. They start at 8 am from the same point in the opposite directions. A and B walk at a speed of 2 rounds per hour and 3 rounds per hour respectively. How many times shall they cross each other before 9:30 am?
The electricity bill of a certain establishment is partly fixed and partly varies with the number of units of electricity consumed. Whenin a certain month 540 units are consumed, the bill is 1800. In another month 620 units are consumed and the bill is 2040. In yetanother month 500 units are consumed. The bill for that month would be
A boat travels upstream from B to A and downstream from A to B in 3 h. If the speed of the boat in still water is 9 km/h and the speed of the current is 3 km/h, what is the distance between A and B?
The horizental distance between two towers is 60m. The angular elevation of the top of the taller tower as seen from the top of theshorter one is 30°. If the height of the taller tower is 150m, the height of the shorter one is
If 15 men, 24 women and 36 boys can do a piece of work in 12 days, working 8h per day, how many men must be associated with 12 women and 6 boys to do another piece of work \(2\frac{1}{4}\) times as large in 30 days working 6 h per day?
G, P and S are animal species. What is the average life span in years of S?
I. The average life span of S is twice that of P and \(\frac{4}{5}\)that of G.
II. The average life span of G is 30 yr longer than that of P and 10 yr longer than that of S
Decide whether the data in the statements are sufficient to answer the question.
Last year \(\frac{4}{5}\) of the applicants for a job on a police force passed the physical examination. If \(\frac{3}{4}\)of the applicants who passed the physical examination also passed the written examination, how the applicants passed both examinations? 
I. The number of applicants who did not either examination was equal to the number who passed the physical examination only.
II. There were a total of 100 applicants.
Decide whether the data in the statements are sufficient to answer the question.
A US economy firmly on the path of revival and robust growth would be of great significance for the world economy and Indian exporters should be looking at a sustained rise in demand in the US. The US economy, as per recent-released figures has already addedsome 171000 jobs in the month prior. This is shows that the US has made real progress in rejuvenating the economy. Of course, we are quite happy to see the revival of job growth in the US, especially because the Indian industry has had a not so minor role in this development. Indian companies have helped add some 20000 new jobs to the US economy in 2012-13 itself. Future Indian investment directed towards the US is likely to add to this number. Most of these new jobs are actually being created by the Indian Information Technology (IT) sector, which is mistakenly derided as a 'job stealer'by the US. However, empirical evidence clearly suggests that 'outsourcing Improves corporate bottom-lines in the US, which in turn allows corporates to expand, thereby leading to the generation of new jobs. The current rhetoric on outsourcing is overblown and counterproductive. There is after all no real use in creating impedimentsfor a sector that has organically linked our two economies and is helping generate net employment in both lands. A growing India-USeconomic relationship is necessarily IT enabled.
The Supreme Court wants to find out whether additional taxes on diesel cars can curb air pollution. But evidence from Europe,where around half of the automobiles are diesel-based and the air is far cleaner than in our cities, demonstrates that diesel cars cannot by themselves be blamed for deterioration in air quality and evidence from the Central Pollution Control Board clearly shows that industries. road dust from construction and geography account for most of the particulate matter emission in cites.Power plants and diesel generators also increase, pollution and the bulk of the transport emissions are on account of heavy commercial vehicles that use much older technologies than new diesel cars. Undoubtedly. adulteration of diesel with subsidised to the problem. So. a tax on new diesel cars is too blunt an instrument which certainly will not yield clean aidt fact skew the market towards used rather than new cars which would not only hurt the automobile industry but also further air pollution. Cleaning the air in our cities would require concerted efforts by authorities including of diesel prices. ending sale of subsidised kerosene and supply of better quality fuel. It would also require a significant improvement in public transport systems and better enforcement of pollution control norms. The solution therefore is not so much in constraining the industry with new taxes, but in pushing through positive measures that enable their livelihoods while also breathing clean air.
The Election Commission (EC) has proposed an amendment to the 1950.Representation of the people Act (RPA) to ban all opinion polls once the election process is under way. which could be months before actual elections are held. Following the passing of tlhe 2009 RPA (Second Amendment) Bill, a ban on exit polls conducted while the polling process is going on is already in place. While there may be acase for banning opinion polls or their republication while polling is actually underway and poll campaigning has ceased why all opinion polls should be banned is unclear. Nevertheless major political parties argued for this at last year s consultations on electoral reform,and the EC appears to have succumbed. Proponents of the ban argue, contradictorily, that, opinion polls tend to influence voters and voting patterns besides creating confusion galore. also drawn attention to complaints about political parties funding some opinion polls. But such a draconiah ban on all opinion polls is tantamount to muzzling freedom of expression• as well as the right of the media and research organisations to undertake such pre-poll exercises. These. after all, are an important metric to assess the people 's mood and their aspirations. and their perception of political parties. Multiple opinion polls competing with each other restrict the possibility o manipulation by anyone pre-poll survey. Finally, the perception that voters are gullible enough to be duped by by opinion polls, is an affront to their intelligence and political sense.