List of top Quantitative Ability and Data Interpretation Questions

N = abc is a three-digit number, where a, b and c are its digits. N is a perfect square of an even number. To find N, which of the following information(s) is/are necessary and sufficient?

A. a, b, c are three consecutive digits but not in order.
B. N is divisible by 18.
C. The units digit of \(N^2\) is c.

If \(\dfrac{a-b}{a+b} = \dfrac{(a-b)^3}{(a+b)^3}\), what set(s) of \(a\) and \(b\) is/are correct?

A. \(S_1 = \{a = \text{any real value}, b = 0\}\)
B. \(S_2 = \{a = 0, b = \text{any real value}\}\)
C. \(S_3 = \{a = 0, b = 0\}\)

A spherical balloon is inflated and its radius is increasing at 4 cm/second. At what rate would the volume be increasing when its radius is 14 cm?

When \((629)^{24}\) is divided by 21, find the remainder.

Anand, Binoy, Chetan and Dharma together have Rs 47 with them. Anand and Binoy together have Rs 27; Chetan and Anand have Rs 25 and Dharma and Anand have Rs 23. How much money does Binoy have?

Meera and Sameera start moving from the same point. Meera goes 4 kms west followed by 3 kms north. Sammera goes 4 kms east and then a right turn and keeps going for 3 kms. What is the shortest distance between the two of them?

There are 6 tickets to the theater, four of which are for seats in the front row. 3 tickets are selected at random. What is the probability that two of them are for the front row?

What will be the sum of two numbers?
I. Among the two numbers, the bigger number is greater than the smaller number by 6.
II. 40 % of the smaller number is equal to 30 % of the bigger number.
III. The ratio of half of the bigger number to one third of the smaller number is 2 : 1.

Symbiosis runs a Corporate Training Programme. At the end of running the first programme its total takings were Rs 38950. There were more than 45 but less than 100 particulars. What was the participant fee the programme?

A picture was bought at a certain sum, which was the price paid for its frame. Had the frame cost Rs 100 less and the picture Rs 75 more the price for the frame would have been only half of that of the picture. What is the price of the frame?

Milk and water in two vessels A and B are in the ratio 4 : 3 and 2 : 3 respectively. In what ratio the liquids in both the plate vessels should be mixed to obtain a new mixture in vessel C, only five maintaining half milk and half water?

Study the weekly data table and daily data graph for Toya Motors share prices at the National Stock Exchange and answer the following questions. Toya Motors NSE Share prices for 3 months.

10/8	22/8	31/8	12/9	21/9	29/9	10/10	20/10	31/10	10/11
483	475	461	513	516	535	538	500	461	498

Study the sector wise sales of a group of companies for the financial year 2004 - 2005 and answer the following questions.

Sectors	(Rs millions)	%Share
Materials	164,430	210
Engineering	244,830	312
Energy	62,990	8.0
Consumer Goods	47,880	6.1
Chemicals	35,510	4.5
Communication and information systems	148,160	18.9
Services	78,950	10.1
Total	782,750

X is older than Y, Z is younger than W, and V is older than Y. Is Z younger than X?
I. W may not be older than V.
II. W is not older than V.

$\left[ \frac{x^{-1} - y^{-1}}{x^2 - y^2} \right]>1$?
I. $x + y>0$
II. $x$ and $y$ are positive integers and each is greater than 2.

The unit price of product P1 is non-increasing and that of product P2 is decreasing. Which product will be costlier 5 years hence?
I. Current unit price of P1 is twice that of P2.
II. 5 years ago, unit price of P2 was twice that of P1.

How long did Mr. X take to cover 5000 km journey with 10 stopovers?
I. The $i^{th}$ stopover lasted $i^2$ minutes.
II. The average speed between any two stopovers was 66 kmph.

If R is an integer between 1 & 9, P - R = 2370, what is the value of R?
I. P is divisible by 4.
II. P is divisible by 9.

A man distributed 43 chocolates to his children. How many of his children are more than five years old?
I. A child older than five years gets 5 chocolates.
II. A child 5 years or younger in age gets 6 chocolates.

Ramu went by car from Calcutta to Trivandrum via Madras, without any stoppages. The average speed for the entire journey was 40 kmph. What was the average speed from Madras to Trivandrum?
I. The distance from Madras to Trivandrum is 0.30 times the distance from Calcutta to Madras.
II. The average speed from Madras to Trivandrum was twice that of the average speed from Calcutta to Madras.

$x$, $y$, and $z$ are three positive odd integers. Is $x + z$ divisible by 4?
I. $y - x = 2$
II. $z - y = 2$

The points (–4, 3) and (–1, –4) are two end points of a diagonal of a parallelogram. If the other diagonal has the equation 7y + 3x + c = 0, then find the value of c.

Which of the following can be the minimum number of genetically modified rodents that are hamsters?
 

If the number of rats is 60, what is the ratio of the number of orange-eyed hamsters and blue-eyed rats?