List of top Quantitative Ability and Data Interpretation Questions

There are 10 stations on a railway line. The number of different journey tickets that are required by the authorities is
What number should replace the question mark in the image below?
Analogy
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
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?
The radius of circle is so increased that its circumference increased by 5%. The area of the circle then increases by
What image from bottom row should replace the question mark?
Analogy
In an examination, out of 480 students 85% of the girls and 70% of the boys passed. How many boys appeared in the examination if total pass percentage was 75%?
\(\sqrt{110.25} × \sqrt{0.01} ÷ \sqrt{0.0025}− \sqrt{420.25}\) Equal to:
If the algebraic sum of deviations of 20 observations measured from 23 is 70, mean of these observations would be
What fraction of the total money did T have at the beginning of the game?
In 4 years, Rs. 6000 amounts to Rs. 8000. In what time at the same rate will Rs. 525 amount to Rs. 700?
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?
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?
How many kgs of tea worth Rs. 25 per kg must be blended with 30 kgs of tea worth Rs. 30 per kg so that by selling the blended variety at Rs. 30 per kg there should be a gain of 10%?
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 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:
An agent sells goods of value of Rs. 15,000. The commission which he receives at the rate of is
The mean of the numbers a, b, 8, 5, 10 is 6 and the variance is 6.80. Then which one of the following gives possible values of a and b?
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
Raj Travels has the following revenue model for a group package. The owner charges Rs. 20,000 per person for a group size up to 200. For every additional traveller beyond 200, he starts offering a discount of Rs. 50 to ALL members of the group.

The maximum possible income for Raj Travels from the package is:
A police inspector spots a thief standing 7 km away from him on a straight road that runs East-West. The inspector is standing on the eastern side while the thief is on the western side of the road. On spotting the inspector, the thief takes his bicycle and tries to cut across the field next to the road, riding away at a uniform speed of \(9\sqrt{2}\) km/hour in a direction making an angle of \(45^{\circ}\) with the road towards North-East. The inspector starts on his scooter at the same instant, moving at a uniform speed of \(15\) km/hour, and catches the thief.

The distance the inspector has to travel is:
Answer the questions on the basis of the data given in the two charts below.

Sodium carbonate, also called soda ash, is an important ingredient for glass, soap, detergents and many other products. There are two ways to produce soda ash. The first is producing soda ash from trona, which is obtained naturally; this is called natural soda ash. The second is producing soda ash from common salt through the Solvay process; soda ash made this way is called synthetic soda ash. Tata Chemicals was one of the largest producers of soda ash. The charts below show Tata Chemicals' own production of the two varieties of soda ash, and the world's total production of the two varieties.


68. It was expected that global soda ash production would stay the same in 2006, 2007 and 2008 (only for this question). What could be a possible reason for the different patterns of production shown by Tata Chemicals and the world?
Answer the questions on the basis of the data given in the two charts below.

Sodium carbonate, also called soda ash, is an important ingredient for glass, soap, detergents and many other products. There are two ways to produce soda ash. The first is producing soda ash from trona, which is obtained naturally; this is called natural soda ash. The second is producing soda ash from common salt through the Solvay process; soda ash made this way is called synthetic soda ash. Tata Chemicals was one of the largest producers of soda ash. The charts below show Tata Chemicals' own production of the two varieties of soda ash, and the world's total production of the two varieties.


69. Suppose the total global production increased, year on year, from 2006 to 2008 by the same amount that Tata Chemicals' synthetic production increased, year on year, over the same period. By what percentage did the total global production increase from 2007 to 2008?
Soda ash (sodium carbonate) is made in two ways: from natural trona ore (natural soda ash), and from common salt by the Solvay process (synthetic soda ash). Tata Chemicals is one of the world's largest soda ash producers.

Two charts give the data. The first chart plots WORLD production of natural and synthetic soda ash for the years 2001 to 2006: the synthetic soda ash bars climb every year over this period, while the natural soda ash bars stay roughly flat. The second chart plots Tata Chemicals' own natural and synthetic output:
YearNatural Soda Ash (MT)Synthetic Soda Ash (MT)
200500.7
20070.42.2
20083.22.2

Which of the following statements are true?
1. Proportion of natural soda ash to synthetic soda ash has decreased from 2001 to 2006 globally.
2. Proportion of natural soda ash to synthetic soda ash has increased from 2001 to 2006 globally.
3. Proportion of synthetic soda ash to total soda ash has decreased for Tata Chemicals from 2005 to 2007.
4. Proportion of synthetic soda ash to total ash has increased for Tata Chemicals.
Continuing from the soda ash data: Tata Chemicals' own natural and synthetic soda ash output was:
YearNatural Soda Ash (MT)Synthetic Soda Ash (MT)
200500.7
20070.42.2
20083.22.2

The world production chart, however, only plots totals for the years 2001 to 2006.

What is Tata Chemicals' share of global production in 2008?