List of practice Questions

A bar magnet is $10 \,cm$ long is kept with its north ($N$)-pole pointing north. A neutral point is formed at a distance of $15 \,cm$ from each pole: Given the horizontal component of earth's field is $0.4$ Gauss, the pole strength of the magnet is
A wire of length $l$ is bent into a circular loop of radius $R$ and carries a current $I$.The magnetic field at the centre of the $B$. The same wire is now bent into a double loop of equal radii. If both loops carry the same current $I$ and it is in the same direction, the magnetic field at the centre of the double loop will be -
If the ratio of lengths, radii and Young's modulus of steel and brass wires shown in the figure are $a, b$ and $c$ respectively, the ratio between' the increase in lengths of brass and steel wires would be
Two point charges $-q$ and $+ q$ are located at point's $(0, 0, - a)$ and, $(0, 0, a)$ respectively. The electric potential at a point $(0, 9, z)$, where $z > a$ is
In Gattermann reaction, a diazonium group is replaced by using $\underline{Y} \underline{X}$and $\underline{Y}$ are
Which sentence(s) can serve as the concluding statement(s) for the given paragraph?
A. Large reductions in the ozone layer, which sits about 15–30 km above the Earth, take place each winter over the polar regions, especially the Antarctic, as low temperatures allow the formation of stratospheric clouds that assist chemical reactions breaking down ozone.
B. Industrial chemicals containing chlorine and bromine have been blamed for thinning the layer because they attack the ozone molecules, making them break apart.
C. Many offending chemicals have now been banned.
D. It will still take several decades before these substances have disappeared from the atmosphere.
The first two terms of a geometric progression add up to 12. The sum of the third and the fourth terms is 48. If the terms of the geometric progression are alternately positive and negative, then the first term is
There are 10 stations on a railway line. The number of different journey tickets that are required by the authorities is
In how many ways can the letters of the word ABACUS be rearranged such that the vowels always appear together?
A five-digit number divisible by 3 is to be formed using numerical 0, 1, 2, 3, 4 and 5 without repetition. The total number of ways this can be done is:
In 4 years, Rs. 6000 amounts to Rs. 8000. In what time at the same rate will Rs. 525 amount to Rs. 700?
The diagonal of a square is \(4\sqrt{2}\) cm. The diagonal of another square whose area is double that of the first square is
The maximum length of a pencil that can be kept in a rectangular box of dimensions 8 cm x 6 cm x 2 cm is
If \(a\) and \(b\) are negative, and \(c\) is positive, which of the following statements is/are true?
I) \(a - b < c - a\)
II) \(a + b < b + c\)  
III) \(b < c < a\)
A boat covers a distance of 30 kms downstream in 2 hours while it takes 6 hours to cover the same distance upstream. What is the speed of the boat in kms per hour?
A dice is rolled three times and sum of three numbers appearing on the uppermost face is 15. The chance that the first roll was a four is
A five digit number is formed by using the digits 1, 2, 3, 4 and 5 without repetitions. What is the probability that the number is divisible by 4?
A contract is to be completed in 50 days and 105 men were set to work, each working 8 hours a day. After 25 days, \(\frac 25th\) of the work is finished. How many additional men be employed so that the work may be completed on time, each man now working 9 hours a day?
A can built up a structure in 8 days and B can break it in 3 days. A has worked for 4 days and then B joined to work with A for another 2 days only. In how many days will A alone build up the remaining part of the structure?
Weekly incomes of two persons are in the ratio of 7 : 3 and their weekly expenses are in the ratio of 5 : 2. If each of them saves Rs. 300 per week, then the weekly income of the first person is
What fraction of the total money did T have at the beginning of the game?
An alloy of gold and silver weighs 50 gms. It contains 80% gold. How much gold should be added to the alloy so that percentage of gold is increased to 90?
Wheat is now being sold at Rs. 27 per kg. During last month its cost was Rs. 24 per kg. Find by how much per cent a family reduces its consumption so as to keep the expenditure fixed.
The radius of circle is so increased that its circumference increased by 5%. The area of the circle then increases by
Sonali invests 15% of her monthly salary in insurance policies. She spends 55% of her monthly salary in shopping and on household expenses. She saves the remaining amount of Rs. 12,750. What is Sonali’s monthly income?