NDA MATHEMATICS 2012 PAST QUESTIONS AND ANSWERS
A. (313)3
B. (1000)3
C. (1020)3
D. (1222)3
ANSWER: C
2. If Musa scored 75 in Biology instead of 57, his average mark in four subjects would have been 60. What was his total mark?
A. 282
B. 240
C. 222
D. 210
B. 240
C. 222
D. 210
ANSWER: D
4. Find the smallest number by which 252 can be multiplied to obtain a perfect square
A. 2
B. 3
C. 5
D. 7
4. Find the smallest number by which 252 can be multiplied to obtain a perfect square
A. 2
B. 3
C. 5
D. 7
ANSWER: D
5. Find the reciprocal of
ANSWER: D
6. If x varies directly as y3 and x = 2 when y = 1. find x when y = 5
A. 2
B. 10
C. 125
D. 250
6. If x varies directly as y3 and x = 2 when y = 1. find x when y = 5
A. 2
B. 10
C. 125
D. 250
ANSWER: B
8. If y =
, find y when x=-2
A. -3/5
B. 3/5
C. -7/5
D. -2/5
7. Factorize completely 3a + 125ax3
A. (2a + 5x2)(4 + 25ax)
B. a(2 + 5x)(4 -10x + 25x2)
C. (2a + 5x)(4 -10ax 25x2)
D. a(2 + 5 x)( 4 + 10ax 25x2)
ANSWER: B
8. If y =
, find y when x=-2A. -3/5
B. 3/5
C. -7/5
D. -2/5
ANSWER: C
B. x < -1
C. x > 6
D. x > 11
9. Find all real numbers x which satisfy the inequality 1/5(x+1)-1>1/5(x+4)
A. x < 11B. x < -1
C. x > 6
D. x > 11
ANSWER: D
10. Factorise x2 + 2a + ax + 2x
11. The 7th
and 9th terms of an arithmetic progression are 346 and 328 respectively. Find the 2nd term
A. 12
B. 292
C. 301
D. 382
10. Factorise x2 + 2a + ax + 2x
A. (x + 2a)(x + 1)
B. (x + 2a)(x - 1)
C. (x2 - 1)(x - a)
D. (x + 2)( x+a)
ANSWER: D
A. 12
B. 292
C. 301
D. 382
ANSWER: D
12. A letter is chosen at random from the word LIVELY. What is the probability that it is L?
A. 1/3
B. 1/6
C. 3/6
D. 1/2
ANSWER: A
13. All possible arrangements 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?
A. 1/11
B. 2/11
C. 1/2
D. 4/11
13. All possible arrangements 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?
A. 1/11
B. 2/11
C. 1/2
D. 4/11
ANSWER: A
14. Factorize Cosec2A+ 2CotA CosecA+ Cot2A
15. Find dy/dn of
16. If tan A=
Find Sin 2A, where A is an acute angle
A. 3P
B. 2P
C. P
D. -P
14. Factorize Cosec2A+ 2CotA CosecA+ Cot2A
A. (CosecA + CotA)2
B. (Cot A — Cosec A)2
C. (Cot A - Sin A)
D. (Sin A - Cot A)
ANSWER: A
15. Find dy/dn of
ANSWER: A
16. If tan A=
Find Sin 2A, where A is an acute angleA. 3P
B. 2P
C. P
D. -P
ANSWER: D
17. If Cos 2A =4/5 find tan A. where A is acute
A. 9/10
D. 1/5
ANSWER: C
18. If Sin q =
0 = 90°, find cos q
B. 72.47°
C. 77.47°
D. 78°
18. If Sin q =
0 = 90°, find cos q19. Find the acute angle between the lines x + 4y =12 and y — 2x + 6 = 0
A. 76°B. 72.47°
C. 77.47°
D. 78°
ANSWER: C
20. Find the equation or the tangent to the circle x2 + y2 + 2x +4y =15 at the point (-1 2)
A. y = x + 5
B. 3y = 2x + 5
C. 2y = x + 5
D. y = 2x + 5
20. Find the equation or the tangent to the circle x2 + y2 + 2x +4y =15 at the point (-1 2)
A. y = x + 5
B. 3y = 2x + 5
C. 2y = x + 5
D. y = 2x + 5
ANSWER: C
21. If a dice is thrown. what is the probability of a total score of 7?
A. 1/18
B. 1/6
C. 1/4
D. 1/12
21. If a dice is thrown. what is the probability of a total score of 7?
A. 1/18
B. 1/6
C. 1/4
D. 1/12
ANSWER: B
22. Find the median of the following set of numbers
A. 7.35
B. 6.25
C. 7.6
D. 6.50
22. Find the median of the following set of numbers
x
|
5
|
6
|
7
|
8
|
9
|
10
|
f
|
3
|
4
|
3
|
3
|
3
|
2
|
B. 6.25
C. 7.6
D. 6.50
ANSWER: B
23. Find the mean of the following scores
A. 3.2
B. 1.85
C. 2.1
D. 2.21
23. Find the mean of the following scores
Scores
|
0
|
1
|
2
|
3
|
4
|
5
|
Frequency
|
2
|
5
|
6
|
4
|
2
|
1
|
A. 3.2
B. 1.85
C. 2.1
D. 2.21
ANSWER: C
24. A number of the for An + bn + Cn + d where A = 4, b = 2, c = 2, d = 1 and n=10), is divisible by
A. 2
B. 5
C. 7
D. 9
24. A number of the for An + bn + Cn + d where A = 4, b = 2, c = 2, d = 1 and n=10), is divisible by
A. 2
B. 5
C. 7
D. 9
ANSWER: D
25. The set of values satisfying the inequality
A. 4 < x < 16
B. 4 > x > - 16
C. -4 > x > - 16
D. x <1
25. The set of values satisfying the inequality
A. 4 < x < 16
B. 4 > x > - 16
C. -4 > x > - 16
D. x <1
ANSWER: A
26. Which of the following is not true?
A. cos(180 - x) = -cos
B. cos(180 + x) = -cos
C. cos(360 -x)) = -cos
D. cos(-x) = cos
26. Which of the following is not true?
A. cos(180 - x) = -cos
B. cos(180 + x) = -cos
C. cos(360 -x)) = -cos
D. cos(-x) = cos
ANSWER: B
27. Which of the following is true about any rhombus
A. All the sided are equal
B. Two diagonal cut at right angles
C. The angle are bisected by the diagonals.
D. All of the above
27. Which of the following is true about any rhombus
A. All the sided are equal
B. Two diagonal cut at right angles
C. The angle are bisected by the diagonals.
D. All of the above
ANSWER: D
28. Using trigonometric identities Cos 3 is same. as
A. Cos3x — 3 Cosx
B. 4Cos 3x — 3 Cosx
C. 3 Cos3x — 4 Cosx
D. Cosx — 3 Cosx
28. Using trigonometric identities Cos 3 is same. as
A. Cos3x — 3 Cosx
B. 4Cos 3x — 3 Cosx
C. 3 Cos3x — 4 Cosx
D. Cosx — 3 Cosx
ANSWER: B
29. Sin x Cos y is same as
A. 1/2( Sin (x+y) Sin (x-y)]
B. 1/2[ Cos (x-y) +Sin(x - y)]
C. 1/2[ Sin (x - y) + Sin (x + y)]
D. 1/2[ Sin (x - y) + Sin (x + y)]
29. Sin x Cos y is same as
A. 1/2( Sin (x+y) Sin (x-y)]
B. 1/2[ Cos (x-y) +Sin(x - y)]
C. 1/2[ Sin (x - y) + Sin (x + y)]
D. 1/2[ Sin (x - y) + Sin (x + y)]
ANSWER: A
30. What is the area of the triangle RTS to the nearest whole number?
A. 26cm2
30. What is the area of the triangle RTS to the nearest whole number?
ANSWER: B
A. 5
B. 3
C. 4
D. 2
A. 5
B. 3
C. 4
D. 2
ANSWER: B
B. (34/5, -26/5)
C. (34/7, -26/7)
D. (34/11, 24/11)
32. 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
A. (34/3), -26/3)B. (34/5, -26/5)
C. (34/7, -26/7)
D. (34/11, 24/11)
ANSWER: A
33. Which of the following sets of points are col-linear?
A. (0, 1), (2, 2), (3. 4)
B. (-2, 3), (1, 5), (2, 1)
C. (6, 1), (0, -2), (4, 2)
D. (-2, 4), (-3, 2), (5, 0)
33. Which of the following sets of points are col-linear?
A. (0, 1), (2, 2), (3. 4)
B. (-2, 3), (1, 5), (2, 1)
C. (6, 1), (0, -2), (4, 2)
D. (-2, 4), (-3, 2), (5, 0)
ANSWER: B
34. Chuka walks at a velocity of 4km/hr eastward. Ali walks 3krn/hr northwards. Find the velocity of Chuka relative to Ali.
A. 5km/h
B. 4km/h
C. 6km/h
D. 8km/h
34. Chuka walks at a velocity of 4km/hr eastward. Ali walks 3krn/hr northwards. Find the velocity of Chuka relative to Ali.
A. 5km/h
B. 4km/h
C. 6km/h
D. 8km/h
ANSWER: A
35. A car of mass 1000kg has a uniform acceleration of 3m/s2 .Find the external force applied to the car.
A. 4 x 103N
B. 3 x103 N
C. 3 x 10-3 N
D. 4 x 10-3 N
35. A car of mass 1000kg has a uniform acceleration of 3m/s2 .Find the external force applied to the car.
A. 4 x 103N
B. 3 x103 N
C. 3 x 10-3 N
D. 4 x 10-3 N
ANSWER: B
36. In the figure above, what is the perimeter of the equilateral triangle ABC
A. 3
B. 9
C. 10
D. 30
36. In the figure above, what is the perimeter of the equilateral triangle ABC
A. 3
B. 9
C. 10
D. 30
ANSWER: D
37. 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?
A. 200
B. 140
C. 144
D. 250
37. 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?
A. 200
B. 140
C. 144
D. 250
ANSWER: C
38. lf a block of height 2.5cm represents 100 goats, how high should the block be to represent
170 goats
A.4.50 cm
B. 5.00 cm
C. 4.00 cm
D. 4.25 cm
38. lf a block of height 2.5cm represents 100 goats, how high should the block be to represent
170 goats
A.4.50 cm
B. 5.00 cm
C. 4.00 cm
D. 4.25 cm
ANSWER: C
39. Define the co-efficient of rank correlation
40. Find the correlation coefficient between x and y for the following data
A. -1.0
B. 1.0
C. 0.0
D. 2
39. Define the co-efficient of rank correlation
ANSWER: C
40. Find the correlation coefficient between x and y for the following data
X
|
1
|
2
|
3
|
4
|
Y
|
2
|
4
|
6
|
8
|
B. 1.0
C. 0.0
D. 2
ANSWER: C
Share This Post: If you believe this post will be helpful to others, please share it using the buttons below!
Share This Post: If you believe this post will be helpful to others, please share it using the buttons below!