If $a = 0.25, b = - 0.05$ and $c = 0.5$, the value of $\frac{a^2 - b^2 - c^2 - 2bc}{a^2 + b^2 - 2ab - c^2}$ is

A three-digit number 4a3 is added to another three-digit numbers 984 to give the four digit number 13b7, which is divisible by 11. The value of |2a - b| is

Four natural numbers, when added three at a time, give the sums 180, 197 and 208 and 222. Smallest of the four numbers is

On simplification of $\left[\frac{(1.331)^{-1} + (1.331)^{-2} + ... + (1.331)^{-6}}{(1.331)^{-2} + (1.331)^{-3} + ... + (1.331)^{-7}}\right]^{\frac{1}{3}}$

A box has coins and beads, all of which are either silver or gold. Twenty percent of the objects in the box are beads. Forty percent of the coins in the box are silver. What percent of the objects in the box are gold coins?

A woman spends 80% of her income. With the increase in the cost of living, her expenditure increases by 37.5% and her income increases by 25%. Her present percent saving is

When one litre water is added to a mixture containing acid and water, the new mixture has 20% acid. If one litre of acid is added to the new mixture, the resulting mixture has $33\frac{1}{3}\%$ acid. The percentage of water in the original mixture is

A merchant bought 749 pens. He sold 700 of them for the price he paid for 749 pens. He sold the remaining pens at the same price per head as the other 700. The percent gain on the entire transaction is

A shopkeeper placed on display some dresses each with a marked price. She then posted a sign “$\frac{1}{4}$ off on these dresses”. The cost of dresses was $\frac{2}{3}$ of the price at which she actually sold them. Then the ratio of the cost to the marked price was

Two candles have different lengths and different thicknesses. The shorter one would last 11 hours, the longer one would last for 7 hours. But of them are lit at the same time and burn evenly. After 3 hours both have the same length remaining. The ratio of their original lengths is

Two positive numbers x and y are inversely proportional. If x increases by p %, then y decreases by

A man closes his account in a bank by withdrawing Rs. 1,10,000. One year earlier, he had withdrawn Rs. 65,000. Two years earlier, he had withdrawn Rs. 1,25,000. How much money had he deposited at the time of opening the account 3 years ago if the annual interest rate was 10% compounded annually?

In the figure, the radius of each of the two smallest circles(S) is one-fifth of the largest circle. The radius of the middle sized circle (M) is double that of the smallest circle. What fraction of the large circle is shaded?

A and B worked together on a job for 4 hours and finished half of it. A worked thrice as fast as B did. If B then left and A was joined by C and they finished the job in 1 hour, how long would it have taken C to do the whole job alone?

Water flows at the rate of 10 metres per minute from a cylinderical pipe whose internal radius is 0.5 cm. How long would it take to fill a conical vessel with top radius 20 cm and depth 21 cm?

Two persons working 2 hours a day assemble 2 machines in 2 days. The number of machines assembled by 6 persons working 6 hours a day in 6 days is

A person starts walking from a point P at 2 a.m. and reaches Q at 5 a.m. on the same day. Another person starts walking from Q at 4 a.m. and reaches P at 9 a.m. on the same day. They will cross each other at

A car travels for m hours at the rate of w km/hour and then for k hours at the rate of h km/hour. The average rate for the distance covered is

A travelled a total distance of 3990 km. He travelled part of the distance by air, part by water and the rest by land. The time he spent on them was in the ratio 1 : 16 : 2 respectively. The average speed of each mode of travel was in the ratio 20 : 1 : 3 respectively. If A’s overall average speed was 42 km/h, the distance covered by air is

The compound interest on a certain sum of money for 2 years at 5% per annum is Rs. 102.50. Compound interest on the same sum for the same period at 4% per annum is

A circle is inscribed in an equilateral triangle and a square is inscribed in the circle. The ratio of the area of the triangle to the area of the square is

The surface of the water in a swimming pool is a rectangle 26 m long and 10 m wide and the depth of water increases uniformly from 1.6 m at one end to 4.4 m at the other end. Volume (in m$^3$ ) of the water in the pool is

In the figure, there are two rectangles each of dimension 8 cm × 12 cm. Length of CE = 7 cm. What is the area (in cm2 ) of the shaded region?

A rectangular box is inscribed in a sphere of radius r cm. Surface area of the box is 384 cm$^2$ and the sum of lengths of its 12 edges is 112 cm. The value of r is

Surplus of steel is highest for the year

Average supply of steel (in million tons) from 2003 to 2008 is

Percentage increase in demand of steel, as compared to previous year, was highest in the year

Percentage increase in supply of steel from 2003 to 2008 was

For the years 2003 to 2006 increase in surplus as compared to preceding year is highest in

The company which has the highest raw material cost is

The company with the highest profit per rupee of sales is

The company with the lowest raw material cost per rupee of the total cost is

Sales of company S is equal to the sales of companies

The company with the highest profit as percentage of total cost is

For integers a, b and c, define

The expression $\frac{2(\sqrt{2} + \sqrt{6})}{3\sqrt{2 + \sqrt{3}}}$ is equal to 

The value of $\frac{(1 + 17)\left(1 + \frac{17}{2}\right)\left(1 + \frac{17}{3}\right)...\left(1 + \frac{17}{19}\right)}{(1 + 19)\left(1 + \frac{19}{2}\right)\left(1 + \frac{19}{3}\right)...\left(1 + \frac{19}{17}\right)}$ is

The number of non zero digits in $(101010101)^2$ is

The greatest natural number that will divide 13511, 13903, and 14589 and leave the same remainder is

A and B start their new jobs on the same day. A’s schedule is 3 working days followed by 1 rest day, while B’s schedule is 7 working days followed by 3 rest days. On how many of their first 1000 days do both have rest-days on the same day?

Statement :
The government could consider the possibility of increasing the software budget from the current Rs. 20 crore to Rs.100 crore in the next Plan provided there are concrete suggestions for the utilisation of the funds.
Course of action:
I. The Government should consult the trade unions in this regard.
II. Software companies should submit detailed proposals to the Government

Statement :
The Government will slap legally enforceable penalities on coal companies defaulting on quality and quantity of coal supplies to bulk consumers, especially to the thermal power stations.
Courses of Action :
I. The requirement of coal for thermal power stations should be assessed realistically.
II. The coal companies should introduce welfare measures for their employees.

Statement:
One of the problems facing the food processing industry is the irregular supply of raw material. The producers of raw material are not getting a reasonable price.
Course of Action :
I. The government should regulate the supply of raw material to other industries also.
II. The government should announce an attractive package to ensure regular supply of raw material for food processing industry

Statement :
The Secretary lamented that the electronic media was losing its credibility and that it should try to regain to by establishing better communications with the listeners and the viewers. He also emphasised the need for training to improve the functioning.
Course of Action :
I. Efforts should be made to get organised feedback on the programmes.
II. The critical areas in which the staff requires training should be identified.

Statement :
Doordarshan is concerned about the quality of its programmes particularly in view of stiff competition it is facing from Star and other satellite TV channels and is contemplating various measures to attract talent for its programmes.
Course of Action :
I. In an effort to attract talent, the Doordarshan has decided to review its fee structure for the artists.
II. The fee structure should not be revised until other electronics media also revise it

Which subject does F teach?

Which subject does B tech ?

Which of the following are two pairs of couples?

Which subject does A’s wife teach?

Who among the following are the males among the two couples?

Statements :
1. All soaps are oils.
2. All oils are bottles.
Conclusions :
I. Some bottles are soaps.
II. All oils are soaps.
III. All soaps are bottles.
IV. All bottles are oils

Statements:
1. Some glasses are kettles.
2. All kettles are jugs.
Conclusions :
I. Some jugs are glasses.
II. All kettles are kettles.
III. No jug is a glass.
IV. Some kettles are not glasses.

Statements :
1. Some dogs are cats.
2. Some tigers are cats.
Conclusions :
I. Every cat is either a dog or a tiger.
II. Some dogs are tigers.
III. No tiger is a dog.
IV. Some cats are dogs as well as tigers

Statements:
1. All books are magazines.
2. All newspapers are magazines.
Conclusions :
I. Some magazines are books.
II. Some magazines are newspapers.
III. Every magazine is either book or newspaper.
IV. All magazines are book as well as newspapers

Statements:
1. Some pistols are guns.
2. Some pistols are swords
Conclusions :
I. Some guns are swords.
II. No sword is a gun.
III. Every pistol is either gun or sword.
IV. Some pistols are neither gun nor sword

Statements : N @ W, L ⊕ N, K = L, W = D
Conclusions :
I. L = W
II. D ⊕ N

Statements : L © A, S @ E, A = S, G ⊕ L
Conclusions :
I. A @ E
II. G ⊕ A

Statements : M = 1, A ⊕ M, T @ I, T = K
Conclusions :
I. M = K
II. K @ M

Statements : I @ R, D @ I, E = C, R, ⊕ E
Conclusions :
I. R ⊕ C
II. I = R

Statements : U ⊕ N, S © Q, N @ D, O = U
Conclusions :
I. N @ S
II. U = D

Liver : Heart : Kidney

Count : List : Weigh

Flood : Fire : Cyclone

Emancipate : Free : Release

Jute : Cotton : Wool

5, 6, 7, 8, 10, 11, 14, (.....)

4, 6, 13, 13, (.....), 28, 121, 59

5, 6, 9, 15, (.....), 40

2, 26, (.....), 124, 214, 342

1, 5, 9, 17, (.....), 37, 49

Doctors, Literate persons, Hospitals

Lawyers, Professors, Doctors

Wheat, Flour, Bread

Wheat, Farm, Farmer

Sun, Planets, Earth

Statement:
“Mr. Mehta is accused of tampering with secret documents but if he denies the charges by swearing on Geeta, we shall withdraw the charges,” officers of a branch office tell the General Manager.
Assumptions:
I It is in the hands of the officers to withdraw charges.
II. Mr. Mehta is believed to be a very religious person.
III. The General Manager will agree to the proposal

Statement:
“We would go ahead with the polling process in the State X only when we are fully satisfied with the law and order situation of the State”, says the Chief Election Commissioner.
Assumptions :
I. The Chief Election Commissioner is not satisfied with the present situation.
II. It is in the hands of the Chief Election Commissioner to decide the dates for polling.
III. No political party would mind the delay in elections

Statement:
All literacy campaigns are focussing special attention on educating women.
Assumptions:
I. Men have already been educated.
II. If women are educated, the coming generations automatically get enlightened.
III. Literacy rate among women is lower than among men

Statement:
“Mobile dispensaries would be deployed in those areas of Uttarakhand where there are no hospitals”, a report.
Assumptions:
I. There are some hospitals in Uttarakhand.
II. It is not possible to have hospitals in all areas of Uttarakhand.
III. The climate of the place is very healthy hence most of the people in Uttarakhand remain healthy

Statement:
Most of the private schools interview parents before allowing admission to a child in their school.
Assumptions:
I. The school authorities want to know whether the parents are financially sound.
II. Schools run some courses for parents as well.
III. Only smart parents have smart children

Name the sport/games in which the term ‘Cue’ is generally used

The State of Jhansi was made part of the British Empire in India through

Which one of the following countries is not a part of Horn of Africa?

As a tribute to Akbar’s organising ability much remains even today of his

The Mcmohan Line marks the boundary between

National Highway No. 3 runs from

Which State is the largest store-house of minerals?

Which State grows nearly 30 per cent of world opium?

The place where Lord Krishna explained the Philosophy of Bhagwad Gita is

What does the Car Festival of Puri commemorate?

Barometer measures

To an astronaut in a satellite the colour of the sky would appear to be

In human body, quantity of water is about

134. The science of the study of soil is

Bonasi is the Japanese art of

‘Parsec’ is a unit of

Legal tender is the name used to describe

Price index numbers are designed to measure

The function of the DNA in the body is

Antigen was discovered in .......... by ..........

The medicine AZT is

Milk is a natural

Which institution is known as ‘soft loan window’ of the World Bank?

Representation of any state in Rajya Sabha is according to

The first Shore-based, modern, integrated steel in India is in

Global warming is mainly due to accumulation of

Which of the following elements is obtained from sea weeds?

The constitution of India provided that Hindi shall be

What is the official language of Nagaland?

The quorum of the Parliament is fixed at

Famous ‘Oscar Awards’ are presented by the

With what field of activity do you associate Ela Bhatt?

Which is the biggest centre of the world’s diamond trade?

With which game is the term “bogey” associated?

Name the author of “My Presidential Years”?

Surat is located on the banks of the river

name the Director of the film ‘Guide’

The state located on the easter-most-part of India is

Nhava Sheva, one of India’s major ports is located in

Pencillin was discovered by