NDA Mathematics 2012/2013 Past Questions

Evaluate (212)₃ - (121)₃ + (222)₃

If Musa scored 75 in Biology instead of 57, his average mark in four subjects would have been 60. What was his total mark?

Divide the L.C.M of 48, 64, and 80 by their H.C.F

Find the smallest number by which 252 can be multiplied to obtain a perfect square

Find the reciprocal of ${2/3}/{1/2 + 1/3}$

If x varies directly as y³ and x = 2 when y = 1. find x when y = 5

Factorize completely 3a + 125ax³

If y = ${x/{x-3} + x/{x+4}}$, find y when x = -2

Factorise x² + 2a + ax + 2x

The 7th and 9th terms of an arithmetic progression are 346 and 328 respectively. Find the 2nd term

A letter is chosen at random from the word LIVELY. What is the probability that it is L?

All possible arrangement of the setters of the word MATHEMATICS are made. If one of these is picked at random, what is the probability that it will end with E?

Factorize Cosec²A+ 2CotA CosecA+ Cot²A

Find dy/dn of Y = $1/{√(4n-7)}$

If tan A = ${√(1-P^2)}/P$ Find Sin 2A, where A is an acute angle

If Cos 2A = 4/5 find tan A. where A is acute

Find the perimeter of an equilateral triangle where area is 72cm².

Find the acute angle between the lines x + 4y =12 and y - 2x + 6 = 0

Find the equation or the tangent to the circle x² + y² + 2x + 4y = 15 at the point (-1 2)

If a dice is thrown, what is the probability of a total score of 7?

Find the median of the following set of numbers

X	5	6	7	8	9	10
F	3	4	3	3	3	2

Find the mean of the following scores

score	0	1	2	3	4	5
Frequency	2	5	6	4	2	1

A number of the for An + bn + Cn + d where A = 4, b = 2, c = 2, d = 1 and n=10), is divisible by

The set of values satisfying the inequality $|{10-x}/{3}| < 2$

Which of the following is not true?

Which of the following is true about any rhombus

Using trigonometric identities Cos 3 is same as

SinxCosy is same as

What is the area of the triangle RTS to the nearest whole number?

In a class of 40 students, 20 offer Physics. 35 offer Chemistry and 18 offer both Physics and Chemistry. How many students do not offer either Physics or Chemistry?

A point Q divides a line segment MN joining the point M(-2,3)and N (6, -4) externally in the ratio 5:2. Find the coordinates of Q

Which of the following sets of points are collinear?

Chuka walks at a velocity of 4km/hr eastward. Ali walks 3km/hr northwards. Find the velocity of Chuka relative to Ali.

A car of mass 1000kg has a uniform acceleration of 3m/s² .Find the external force applied to the car.

A pie chart of total number of students in a school has a sector 35° representing 14 students. How many students are there in the school altogether?

lf a block of height 2.5cm represents 100 goats, how high should the block be to represent 170 goats

Define the co-efficient of rank correlation

Find the correlation co-efficient between x and y for the following data
X = 1 2 3 4
Y = 2 4 6 8