List of practice Questions

How to use ‘Mark Common Formula Error’ in Excel? Explain.
It question has four words marked A, B, C and D; of which two words are most nearly SAME or OPPOSITE in meaning. Choose one such pari from the alternatives given.
(A) Vivacious
(B) Weird
(C) Rabid
(D) Fanatical
Differentiate between regular and diffused reflection. Does diffused reflection mean the failure of the laws of reflection?

Using laws of exponents, simplify and write the answer in exponential form: 
(i) 32 × 34 × 38 (ii) 615 ÷ 610 (iii) a3 × a2 (iv) 7x×72 (v) (52) ÷ 53 (vi) 25 × 55 (vii) a4 × b4 (viii) (34)3(ix) (220 ÷ 215)×23 (x) 8t ÷ 82

Solubility product of CaC2O4 at a given temperature in pure water is 4×10-9 (mol L-1)2. Solubility of CaC2O4 at the same temperature is:
Express the following numbers in standard form:
(i) 5,00,00,000 (ii) 70,00,000 (iii) 3,18,65,00,000 (iv) 3,90,878 (v) 39087.8 (vi) 3908.78
A train whose weight is 16 metric tons, moves at the rate of 72 kmph. After applying brakes it stops in 500 meters. What is the force executed by brakes?
A 240 metre long train crosses a platform in 20 seconds. What is the speed of the train ?
Two trains of lengths 80m and 120m respectively are travelling in the same direction. If the first train travelling a speed of 80 Kmph crosses the second train in 24 seconds, then the speed of the second train is :
If a, b, c are in increasing A.P. and a + 1, b, c + 3 are in G.P. If A.M. of a, b, c is 8. Find cube of G.M. of a, b, c.
There are $10$ persons including $3$ ladies. A committee of $4$ persons including at least one lady is to be formed. The number of ways of forming such a committee is
If $^{n}C_{r-1}=28$, $^{n}C_{r}=56$ and $^{n}C_{r+1}=70$, then the value of $r$ is equal to
The number of words that can be formed by using all the letters of the word $PROBLEM$ only one is
How many four digit numbers $abcd$ exist such that $a$ is odd, $b$ is divisible by $3$, $c$ is even and $d$ is prime?
Two posts are k metres apart and the height of one is double that of the other. If from the middle point of the line joining their feet, an observer finds the angular elevations of their tops to be complementary, then the height (in metres) of the shorter post is

Find the value of \(\tan ^{-1}\bigg[2\cos\Big(2\sin^{-1}\frac{1}{2}\Big)\bigg]\)

Fill in the blanks in the sentences below (the verbs given in brackets will give you a clue). 

(i) The earth trembled, but not many people felt the ____. (tremble) 

(ii) When the zoo was flooded, there was a lot of _____ and many animals escaped into the countryside. (confuse) 

(iii) We heard with _____ that the lion had been recaptured. (relieve) 

(iv) The zookeeper was stuck in a tree and his _____ was filmed by the TV crew. (rescue) 

(v) There was much _____ in the village when the snake charmer came visiting. (excite)

Fill in the blanks with suitable words.
  1. Time taken by an object to complete one oscillation is called ___ .
  2. Loudness is determined by the ___ of vibration.
  3. The unit of frequency is ___.
  4. Unwanted sound is called __________ .
  5. Shrillness of a sound is determined by the ___ of vibration.
Adsorption of water by hydrophilic colloids is
Which one among the following must have two sources?
Add the following. l2 + m2, m2 + n2, n2 + l2, 2lm + 2mn + 2nl

Given below is a square of letters in which are hidden different words related to respiration in organisms. These words may be present in any direction — upwards, downwards, or along the diagonals. Find the words for your respiratory system. Clues about those words are given below the square.

a square of letters in which are hidden different words related to respiration in organisms

  1. The air tubes of insects
  2. Skeletal structures surrounding chest cavity
  3. Muscular floor of chest cavity
  4. Tiny pores on the surface of leaf
  5. Small openings on the sides of the body of an insect
  6. The respiratory organs of human beings
  7. The openings through which we inhale
  8. An anaerobic organism
  9. An organism with tracheal system
What letters of the English alphabet have reflectional symmetry (i.e., symmetry related to mirror reflection) about. 
  1. a vertical mirror 
  2.  a horizontal mirror 
  3.  both horizontal and vertical mirrors
Over the last 40 years there has been a great increase not only in the number of
agricultural pesticides in use but also in the care and sophistication with which
they are used by farmers. Nevertheless, the proportion of agricultural crops lost
to certain pests worldwide has increased over the same period, even when the
pests concerned have not developed resistance to existing pesticides. Which of the following, if true, best explains how improvements in pesticide use
have been accompanied by greater losses to certain pests?
Authorities in California required drivers to use their headlights on a certain
road during the daytime as well as at night and found that annual accident rates
on the road fell 15 percent from the previous level. They concluded that applying
the daytime rule statewide would lead to a similar reduction in accidents. Which of the following, if true, most strengthens the authorities' argument?