Assam Polytechnic Admission Test 2019 Paper – Mathematics
Assam Pre Polytechnic Entrance Exam 2019 Paper – Mathematics
| Sr. No. | Question and Answer |
| 1 | If a 1.5 m tall girl stands at a distance of 3 m from a lamp post and casts a shadow of length 4.5 m on the ground then the height of the lamp post is
(a) 1.5 m (b) 2.8 m (c) 2.0 m (d) 2.5 m |
| 2 | The sum of first 100 natural numbers is
(a) 4950 (b) 5000 (c) 5050 (d) 2550 |
| 3 | Father is 3 times as old as his son. After 12 years he will be twice as old as his son. Present age of son is
(a) 10 years (b) 13 years (c) 15 years (d) 12 years |
| 4 | If A (-2,3) , B(6,7) , C(8,3) and D (x,y) are the vertices of the parallelogram ABCD, then value of x and y are
(a) 1, 0 (b) 0, 1 (c) -1, 0 (d) 0, -1 |
| 5 | If the points P (1,2) , Q(0,0) and R (a,b) are collinear, then
(a) a=b (b) a=2b (c) 2a=b (d) a+b=0 |
| 6 | The co-ordinates of the point which divides the line segment joining the points (4, -3) and (8,5) in the ratio 3 : 1 is
(a) (7,3) (b) (4,2) (c) (3,7) (d) None of these |
| 7 | If PT is the tangent at the point T to be the circle with centre O, if OT=6 cm and OP=10, then the length of the tangent PT is
(a) 12 cm (b) 4 cm (c) 8 cm (d) 16 cm |
| 8 | The volume of two spheres are in the ratio 64 : 27. The ratio of their surface area is
(a) 1 : 2 (b) 2 : 3 (c) 9 : 16 (d) 16 : 9 |
| 9 | The cube of side 6 cm is cut into a number of cubes each of side 2 cm. The number of cubes formed are
(a) 27 (b) 12 (c) 9 (d) 6 |
| 10 | The mean and mode of a frequency distribution are 28 and 16 respectively. The median is
(a) 22 (b) 23.5 (c) 24 (d) 24.5 |
| 11 | If the mean of x , x+3, x+6, x+9 and x+12 is 10, then x = ?
(a) 1 (b) 2 (c) 6 (d) 4 |
| 12 | The median of first 10 prime numbers is
(a) 11 (b) 12 (c) 13 (d) 14 |
| 13 | The probability that a non-leap year has 53 Sundays is
(a) 2/7 (b) 5/7 (c) c/7 (d) 1/7 |
| 14 | One card is drawn at random from a pack of 52 cards. The probability that the drawn card is not an ace is
(a) 1/13 (b) 9/13 (c) 12/13 (d) 1/52 |
| 15 | The coins are tossed simultaneously. What is the probability of getting exactly one head ?
(a) ¼ (b) ½ (c) ¾ (d) 2/3
|
| 16 | The probability of a sure event is
(a) 1 (b) ½ (c) 1/3 (d) 0 |
| 17 | The HCF of two numbers is 23 and their LCM is 1449. If one of the number is 161, the other number is
(a) 207 (b) 63 (c) 247 (d) 184 |
| 18 | The product of a non-zero rational and irrational number is
(a) Always rational (b) Always irrational (c) 1 (d) Rational or an irrational |
| 19 | If 7th and 13th terms of an A.P be 34 and 64 respectively, then its 18th term is
(a) 87 (b) 88 (c) 89 (d) 90 |
| 20 | The sum of the digits of a two digits number is 15. The number obtained by interchanging the digits exceeds the given number by 9. The number is
(a) 96 (b) 69 (c) 87 (d) 78 |
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