1
Aarambh NEET (2024)
Practice Sheet (Physics)
Basic Maths
Single Correction Type Questions (1 to 25) dy
6. If y = logex + sin x + ex then is:
1. Find the values of: dx
(i) tan (– 30°) 1 1
(1) + sin x + e x (2) − cos x + e x
(ii) cos 150° x x
(iii) sin 210° 1 1
(3) + cos x + e x (4) − sin x
1 3 1 1 3 1 x x
(1) , , (2) − ,− ,−
3 2 2 3 2 2
4 2
1 3 1 1 3 1 7. Find derivative of y = x3 + x − 5x + 1
(3) − , , (4) − ,+ ,− 3
3 2 2 3 2 2
x 4 4 x3 5 x 2
(1) + − +x
4 9 2
2. Convert the following angle from radian to degree
8
3 (2) 3x 2 + x − 5
(a) rad 3
4
(3) x2 + x – 5
7 (4) None of these
(b) rad
6
(1) 135°, 210° (2) 210°, 135° 3x + 4
(3) 225°, 240° (4) 135°, 225° 8. Find the derivative of y =
4x + 5
−1 1
3. A circular arc is of length cm. Find angle (1) (2)
(4 x + 5)2 (4 x + 5)2
subtended by it at the centre in radian and degree.
24 x + 31 −24 x − 31
(3) (4)
(4 x + 5) 2
(4 x + 5)2
d 100
9. (e ) = .....
(1) 60° (2) 30° dx
(3) 90° (4) 15° (1) e100 (2) 0
(3) 100e999 (4) None of these
4. Calculate the distance between two points (0, –1, 1)
and (3, 3, 13). dy
10. If y = tan x. cos2x then will be:
(1) 12 (2) 9 dx
(3) 16 (4) 13 (1) 1 + 2 sin2x (2) sin2x – cos2x
(3) sin2x + cos2x (4) 1–2 sin2x
5. Find the slope of straight line 2y = 3x + 5 ;
(1) 3 11. If radius of a spherical bubble starts to increase with
(2) 1 time t as r = 0.5t. What is the rate of change of
(3) 3/2 volume of the bubble with time t = 4s?
(4) 5/2 (1) 8 units/s (2) 4 units/s
(3) 2 units/s (4) units/s
, 2
19. Find sum of first ten terms of given Arithmetic
12. Find maxima and minima of function y = x – 18x + 3 2 progression: 1+3+5+7……. Ten terms.
96x (1) 100 (2) 80
(1) –8,4 (2) 4,8 (3) 95 (4) 200
(3) 4,0 (4) 0,8
20. Find approximate value of:
(1.005)12
dx
13. Evaluate 3x (1) 1.005 (2) 1.060
(3) 1.025 (4) 1.020
3 −2/3 2 −3/2
(1) x +c (2) x +c
2 3 dy
2 3/2 3 2/3 21. If y = cos(sin x), then at x = , is
(3) x +c (4) x +c 2 dx
3 2 (1) –2 (2) 2
(3) −2 (4) 0
1
14. Evaluate x2 − cos x + dx 2
x
(1) x3 – sin x + nx + c 22. Find the value of (0.99)1/2
(1) 0.85 (2) 1
(2) 2x – sin x + nx + c (3) 0.90 (4) 0.995
x3
(3) + sin x + nx + c 23. If velocity v varies with time (t) as v = 2t – 3, then
3 the plot between v and t is best represented by:
x3
(4) − sin x + nx + c
3
(1) (2)
/2
15. Find the value of integral cos xdx
0
(1) 0 (2) 1
(3) –1 (4) None
(3) (4)
3
16. Find the value of ( x3 − 4 x 2 + 5 x − 10)dx 24. If y2 – 2y – 3 = 0, find the value of y.
2 (1) 3, 1 (2) –3, –1
74 (3) 3, –1 (4) –3, 1
(1) (2) 464
12
−79 d2y
(3) – 464 (4) 25. If y = t4 + 8t2 + 3 then find
12 dt 2
(1) 12t2 + 16 (2) 12t2
17. Find the value of log10 1000 – log10 100 = ____? 4t 3
(1) 3 (2) 2 (3) 4t2 + 16 (4) + 12
(3) 1 (4) 10 3
1 1 1 1 1
18. Find 1 − + − + − + .......
2 4 8 16 32
(1) 2 (2) 1
(3) 2/3 (4)
Aarambh NEET (2024)
Practice Sheet (Physics)
Basic Maths
Single Correction Type Questions (1 to 25) dy
6. If y = logex + sin x + ex then is:
1. Find the values of: dx
(i) tan (– 30°) 1 1
(1) + sin x + e x (2) − cos x + e x
(ii) cos 150° x x
(iii) sin 210° 1 1
(3) + cos x + e x (4) − sin x
1 3 1 1 3 1 x x
(1) , , (2) − ,− ,−
3 2 2 3 2 2
4 2
1 3 1 1 3 1 7. Find derivative of y = x3 + x − 5x + 1
(3) − , , (4) − ,+ ,− 3
3 2 2 3 2 2
x 4 4 x3 5 x 2
(1) + − +x
4 9 2
2. Convert the following angle from radian to degree
8
3 (2) 3x 2 + x − 5
(a) rad 3
4
(3) x2 + x – 5
7 (4) None of these
(b) rad
6
(1) 135°, 210° (2) 210°, 135° 3x + 4
(3) 225°, 240° (4) 135°, 225° 8. Find the derivative of y =
4x + 5
−1 1
3. A circular arc is of length cm. Find angle (1) (2)
(4 x + 5)2 (4 x + 5)2
subtended by it at the centre in radian and degree.
24 x + 31 −24 x − 31
(3) (4)
(4 x + 5) 2
(4 x + 5)2
d 100
9. (e ) = .....
(1) 60° (2) 30° dx
(3) 90° (4) 15° (1) e100 (2) 0
(3) 100e999 (4) None of these
4. Calculate the distance between two points (0, –1, 1)
and (3, 3, 13). dy
10. If y = tan x. cos2x then will be:
(1) 12 (2) 9 dx
(3) 16 (4) 13 (1) 1 + 2 sin2x (2) sin2x – cos2x
(3) sin2x + cos2x (4) 1–2 sin2x
5. Find the slope of straight line 2y = 3x + 5 ;
(1) 3 11. If radius of a spherical bubble starts to increase with
(2) 1 time t as r = 0.5t. What is the rate of change of
(3) 3/2 volume of the bubble with time t = 4s?
(4) 5/2 (1) 8 units/s (2) 4 units/s
(3) 2 units/s (4) units/s
, 2
19. Find sum of first ten terms of given Arithmetic
12. Find maxima and minima of function y = x – 18x + 3 2 progression: 1+3+5+7……. Ten terms.
96x (1) 100 (2) 80
(1) –8,4 (2) 4,8 (3) 95 (4) 200
(3) 4,0 (4) 0,8
20. Find approximate value of:
(1.005)12
dx
13. Evaluate 3x (1) 1.005 (2) 1.060
(3) 1.025 (4) 1.020
3 −2/3 2 −3/2
(1) x +c (2) x +c
2 3 dy
2 3/2 3 2/3 21. If y = cos(sin x), then at x = , is
(3) x +c (4) x +c 2 dx
3 2 (1) –2 (2) 2
(3) −2 (4) 0
1
14. Evaluate x2 − cos x + dx 2
x
(1) x3 – sin x + nx + c 22. Find the value of (0.99)1/2
(1) 0.85 (2) 1
(2) 2x – sin x + nx + c (3) 0.90 (4) 0.995
x3
(3) + sin x + nx + c 23. If velocity v varies with time (t) as v = 2t – 3, then
3 the plot between v and t is best represented by:
x3
(4) − sin x + nx + c
3
(1) (2)
/2
15. Find the value of integral cos xdx
0
(1) 0 (2) 1
(3) –1 (4) None
(3) (4)
3
16. Find the value of ( x3 − 4 x 2 + 5 x − 10)dx 24. If y2 – 2y – 3 = 0, find the value of y.
2 (1) 3, 1 (2) –3, –1
74 (3) 3, –1 (4) –3, 1
(1) (2) 464
12
−79 d2y
(3) – 464 (4) 25. If y = t4 + 8t2 + 3 then find
12 dt 2
(1) 12t2 + 16 (2) 12t2
17. Find the value of log10 1000 – log10 100 = ____? 4t 3
(1) 3 (2) 2 (3) 4t2 + 16 (4) + 12
(3) 1 (4) 10 3
1 1 1 1 1
18. Find 1 − + − + − + .......
2 4 8 16 32
(1) 2 (2) 1
(3) 2/3 (4)
