SAMPLE QUESTIONS
1. The integral sin2x+cos2x dx is given by (asin2x+bcos2x+c) find the value of a and b.
2. Shankar and Ganesh together have a sum of 220 rupees. If 30% of Shankar’s amount is equal to75% of Ganesh’s amount. Calculate the amount get by Ganesh.
3. The equation of the line 3x-y=1 and 4x+2y=1 point[5,0] represented x+qy=r. find the value of q and r.
4. The velocity v of a body after time t is given by the expression v=6t2-8t distance s=6 time t=2 sec written as atp+btq+c where p>q. find the value of a, b, c, p and q.
5. There are 80 questions in a aptitude test of duration 150min, 30 question are quantitative vijay plans to spend 150% more time on each quantitative question. How much time does he plans to spend on each non-quantitative question.
6. Calculate the angle subtended at the center of the circle diameter is 8cm length is 7.2cm. assume 1radian=57.3°
7. Geetha walks from one end of the street to the other end at a speed of 15km/hr. if the street is 500m long. How much time does she take.
8. A bus usually goes from city A to city B covering the distance at a speed of 108km/hr in 60 min on a particular day the bus has to go through a diversion that add 10kms to its distance if the
bus were running at a speed of 90 km/hr on that day in how time will it take to go out from the city.
9. Rahul completes a journey 15 hours. He travels first half of the journey at a speed of 90 km/hr. he takes rest for 1 hour after which he travels the second half a journey at a speed of 27 km/hr. total distance travelled by him.
10. The vertical post of jib 30m long the angle between jib and post is 45° angle between jib and the tie is 30°. Find the length of the tie.
11. Velocity of the body given by the expression v=9t2-4t if distance s=12, t=3 seconds the distance s in the term of t can be written as at atp+btq+c where p> q. find the value of a, b, c, p
12. A (11,4), B (1,8) are co-ordinates such that C is the mid point of AB. If a line orthogonal to AB passing through C is of the form ax-2y=c. Find the value of a & c?
13. 2 sinx cosx=1 x>90⁰.
14. Find the equation of line passes through the point [1, 3] and parallel to the line 2x+y=12 if the line is to be represented in the form ax+y=c. find the value of a and c.
15. Point A [5,23] point B is [11,9] find the coordinates of midpoint.
16. Solve the equation 2sinx-5cosx=0 find the value of the x in terms of degree.
17. 2x-3y=1, x+2y=2 find x=? y=?
18. Find the angle, arc length is 16.5 and radius is 7.2 cm.
19. Distance from port A to port B is 300 nautical miles port B to C 400 nautical mile and port C to A 500 nautical miles travels from port A to port B 15hrs, port B to C 25hrs, port C to A 40hrs. What is the average speed of the ship in the entire journey?
20. Find the area of the rim of a flywheel, its mean radius being 10 feet, its section being a square whose side is 1.3 feet. Assume 𝜋=3.1412
21. In the following equation one of the values that x can take as 4. Find the other [x-3]+[5/[x-2]]=[[x=3]/2].
22. There are 80 questions in a aptitude test of duration 150min, 30 question are quantitative vijay plans to spend 150% more time on each quantitative question. How much time does he plans to spend on each non-quantitative question.
23. The equation of the line passing through the point of intersection of the line 2x-4y=0 and x+2y=9 and the point (4, 7) is represented by 19x+by=c find the value of band c.
24. Top of the lamp post is viewed at an angle of 45° from a certain point on the ground. At another point 12m away from the base of the lamp post angle of elevation 60°. Find the distance in m from the lamp post from the point where the angle of elevation is 45°.
25. Solve 2cos2x+3sinx-3=0 find the value of x in degree 0<𝑥<90°
2. Shankar and Ganesh together have a sum of 220 rupees. If 30% of Shankar’s amount is equal to75% of Ganesh’s amount. Calculate the amount get by Ganesh.
3. The equation of the line 3x-y=1 and 4x+2y=1 point[5,0] represented x+qy=r. find the value of q and r.
4. The velocity v of a body after time t is given by the expression v=6t2-8t distance s=6 time t=2 sec written as atp+btq+c where p>q. find the value of a, b, c, p and q.
5. There are 80 questions in a aptitude test of duration 150min, 30 question are quantitative vijay plans to spend 150% more time on each quantitative question. How much time does he plans to spend on each non-quantitative question.
6. Calculate the angle subtended at the center of the circle diameter is 8cm length is 7.2cm. assume 1radian=57.3°
7. Geetha walks from one end of the street to the other end at a speed of 15km/hr. if the street is 500m long. How much time does she take.
8. A bus usually goes from city A to city B covering the distance at a speed of 108km/hr in 60 min on a particular day the bus has to go through a diversion that add 10kms to its distance if the
bus were running at a speed of 90 km/hr on that day in how time will it take to go out from the city.
9. Rahul completes a journey 15 hours. He travels first half of the journey at a speed of 90 km/hr. he takes rest for 1 hour after which he travels the second half a journey at a speed of 27 km/hr. total distance travelled by him.
10. The vertical post of jib 30m long the angle between jib and post is 45° angle between jib and the tie is 30°. Find the length of the tie.
11. Velocity of the body given by the expression v=9t2-4t if distance s=12, t=3 seconds the distance s in the term of t can be written as at atp+btq+c where p> q. find the value of a, b, c, p
12. A (11,4), B (1,8) are co-ordinates such that C is the mid point of AB. If a line orthogonal to AB passing through C is of the form ax-2y=c. Find the value of a & c?
13. 2 sinx cosx=1 x>90⁰.
14. Find the equation of line passes through the point [1, 3] and parallel to the line 2x+y=12 if the line is to be represented in the form ax+y=c. find the value of a and c.
15. Point A [5,23] point B is [11,9] find the coordinates of midpoint.
16. Solve the equation 2sinx-5cosx=0 find the value of the x in terms of degree.
17. 2x-3y=1, x+2y=2 find x=? y=?
18. Find the angle, arc length is 16.5 and radius is 7.2 cm.
19. Distance from port A to port B is 300 nautical miles port B to C 400 nautical mile and port C to A 500 nautical miles travels from port A to port B 15hrs, port B to C 25hrs, port C to A 40hrs. What is the average speed of the ship in the entire journey?
20. Find the area of the rim of a flywheel, its mean radius being 10 feet, its section being a square whose side is 1.3 feet. Assume 𝜋=3.1412
21. In the following equation one of the values that x can take as 4. Find the other [x-3]+[5/[x-2]]=[[x=3]/2].
22. There are 80 questions in a aptitude test of duration 150min, 30 question are quantitative vijay plans to spend 150% more time on each quantitative question. How much time does he plans to spend on each non-quantitative question.
23. The equation of the line passing through the point of intersection of the line 2x-4y=0 and x+2y=9 and the point (4, 7) is represented by 19x+by=c find the value of band c.
24. Top of the lamp post is viewed at an angle of 45° from a certain point on the ground. At another point 12m away from the base of the lamp post angle of elevation 60°. Find the distance in m from the lamp post from the point where the angle of elevation is 45°.
25. Solve 2cos2x+3sinx-3=0 find the value of x in degree 0<𝑥<90°