AISSEE-MATHEMATICS (2019)

Questions in this test

1. With the help of ruler and compass it is not possible to construct an angle of 一
2. What time period is taken when interest is calculated half yearly?
3. If a number is doubled then which of the following is a correct statement?
4. Which of the following is the cube root of - 64/243?
5. $[(1/2)^{-1} +(2/3)^2 - (3/4)^0]^{-2}$ is equal to 一
6. Which of the following is equal to $x^3-225x ?$
7. The points (-3, 2) and (2, 3) represent 一
8. If the dimensions of a room are l, b, and h $(l→length, b→breadth, and$ $h→height)$ then which of the following is the area of its four walls?
9. If $[ 1X 2Y 6 Z ]$ is a number divisible by 9, then the least value of X + Y + Z is 一
10. Which of the following is the Multiplicative identity for rational numbers?
11. The mid value of a class interval is 42. If the class size is 10, then the upper and lower limits of the class are 一
12. The speed of a car is $54\frac{1}{2}$km/hr. The distance travelled by it in $\frac{7}{2}$ hours $\frac{35}{2}$ minutes is 一
13. The ages of A and B are in the ratio of 5:7. Four years from now ratio of their ages will be 3:4. The present age of B is 一
14. 36 is divided into parts such that 5 times the first part added to 3 times the second part makes 142. The two part are 一
15. Divide ₹1500 into two parts so that 10% of the larger part exceeds 8% of smaller part by ₹ 60. The value of larger and smaller parts are 一
16. The value of x+y+z in the adjoining figure is 一
17. If an exterior angle of a regular polygon is of measure 12°, then the number of its sides is 一
18. The smallest whole number by which 44 should be multiplied so as to make it a perfect square is 一
19. There are 12321 workers in a factory. They stand in such a way that the number of workers in each row is equal to the number of rows. How many workers stand in each row?
20. Cubical boxes of volume 15625 cm³ each are put in a cubical store of side 2.5 m. How many such boxes can be put in the store?
21. If $a^2+\frac{1}{a^2}=27$, then the value of $a-\frac{1}{a}$ is 一
22. If the sum of the lengths of bases of a trapezium is 12 cm and area of $14.1cm^2,$ then its altitude will be 一
23. If the length, width and height of a cuboid are 4.2 m, 3 m and 1.1 m, then its capacity in litres will be 一
24. A road roller is 350 cm long and its diameter is 84 cm. It takes 500 complete revolutions to travel the road. The area covered by it in m² will be 一
25. A solid cuboidal piece of wood measures 3 m × 2.5 m × 8 cm. Find the weight of the piece if 1 cubic cm of wood weights 9 grams.
26. A well was dug with 14 m inner diameter and was 8 m deep. The earth dug out of it was evenly spread out on a rectangular plot of side 10 m B 8 m. Find the raise in the height of the plot.
27. If $5^{3x+4}=25×5^{4x-1}$ then the value x is 一
28. Sum of the digits of a two digit number is 9. If 9 is a subtracted from the number, the digits interchange their places. The original number is 一
29. The values of the letters A, B, C, D, E, F and G are 一
30. From a pack of 52 playing cards, one card is drawn at random. The probability of the drawn card being a black ten or a king is.
31. A spider is climbing a wall. It climbs up 5 cm, falls back 3 cm. climbs up another 4 cm, falls back 6 cm and climbs up another 5 cm. How far the spider has climbed from its starting point?
32. What will be the amount and compound interest on ₹5000 in 3 years if the rate of interest is 4% for the first year, 3% for the second year and 2% for the third year?
33. The smallest square number which is divisible by each one of the numbers 8, 9, 10 is
34. If 25% of a number is less than 18% of 650 by 19, then find the number-
35. If the cost price is 25% of selling price then the profit percentage is-
36. Area of rectangle whose length is $4ab$ and breadth is $6b^2$ is
37. The total surface area of a cone having its slant height 9 dm and diameter of its base as 24 dm is -
38. A cube of side 4 cm contains a sphere touching its side. Then the volume of the gap in between is-
39. A chord of a circle is of length of 6 cm and it is at a distance of 4 cm from the centre. Find the radius of the circle.
40. The mean of 40 observations was 160. It was detected on rechecking that the value of 165 was wrongly copied as 125 for computation of mean Find the correct mean-
41. If $x + y = 12$ and $xy = 27$ then the value of $x^3 + y^3$
42. In what time will a sum of money double itself a $6\frac{1}{4}\%$ p.a. simple interest?
43. In a triangle ABC, E is the midpoint of median AD. Then the area of △BED is-
44. The radius of a spherical balloon increases from 7 cm to 14 cm as air is being pumped into it. Find the ratio of surface areas of the balloon in the two cases-
45. Two isosceles triangles have equal vertical angles and their areas in the ratio 25 : 36. Find the ratio of their corresponding heights-
46. The face value of each share is ₹10. If dividend is 16% then what will be the income from 600 shares?
47. A solid gold ball of radius was 7 cm was melted and then drawn into a wire of diameter 0.2 cm. Find the length of the wire.
48. A horse is tethered for grazing inside a rectangular field 70 m by 52 m and is tethered to one corner by a rope 21 m long. How much area can it graze?
49. A race boat covers a distance of 66 km downstream in 110 minutes. It covers the same distance upstream in 120 minutes. The speed of the boat in still water is 34.5 km/hr. The speed of the stream will be
50. The value of $10001^2-$