AISSEE-MATHEMATICS (2018)

Questions in this test

1. If a number 573xy is divisible by 90, then what is the value of x+y?
2. Which of the following numbers is in standard form?
3. What should be added to $-\frac{5}{7}$ to get $-\frac{2}{3}$?
4. The age of A and B are in the ratio 5:7. Four years from now the ratio of their ages will be 3:4. Then the parentage age of B is-
5. Two consecutive even numbers are such that half of the larger number exceeds one-fourth of the smaller number by 5. Then the larger number is-
6. If $0.25(4f-3)=0.05(10f-9),$ then f is equal to -
7. A number consists of two digits. The digit in the tens place exceeds the digit in the units place by 4. The sum of the digit is $\frac{1}{7}$ of the number. The number is-
8. How many sides does a regular polygon have, wherein, whose interior angle is eight times its exterior angle?
9. ABCD is a rectangle with ㄥBAC = 48°. ThenㄥDBC is equal to
10. The angles A, B, C, D of a quadrilateral ABCD taken in order are in the ratio 3:7:6:4, then ABCD is a
11. A data set of n observations has mean $2\overline{x}$. While another data set of 2n observations has mean $\overline{x}$. Then the mean of the combined data set of 3n observations will be
12. In a class of 17 students, six boys failed in a test. Those who passed scored 12, 15, 17, 15, 16, 15, 19, 17, 18, 18 and 19 marks. The median score of 17 students in the class-
13. The mean age of a class is 16 years. If the class teacher aged 40 years old is also included, the mean age increases to 17 years. The number of students in the class are ____
14. From a well-shuffled deck of 52 cards, one card is drawn at random. What is the probability that the drawn card is a queen?
15. Which of the following numbers is not a perfect square?
16. Which least number must be subtracted from 176 to make it a perfect square ?
17. $\frac{\sqrt{288}}{\sqrt{128}}$ is equal to-
18. The volume of a cubical box is 32.768 cubic metres. Then the length of a side of the box is -
19. By what least number should 648 be multiplied to get a perfect cube ?
20. Given that 3048625 = 3375 x 729. Then what is the cube root of 3048625 ?
21. I borrowed Rs. 12000 from Jamshed at 6% per annum simple interest for 2 years. Had I borrowed this sum at 6% per annum compound interest what extra amount would I have to pay ?
22. During a sale, a shop offered a discount of 10% on the marked price of all the items. What would a customer have to pay for a pair of Jeans marked at 1450 and two shirts marked at 850 each?
23. If the cost price of 10 greeting cards is equal to the selling price of 8 greeting cards. Then the gain or loss % is -
24. ‘A’ can do a piece of work in 20 days which 'B' alone can do in 12 days. 'B' worked at it for 9 days then 'A' can finish the remaining work in-
25. A car takes 2 hours to reach a destination by travelling at 60 km/hr. How long does it take while travelling at 80 km/hr?
26. If $x+\frac{1}{x}=5$, then $x^2+\frac{1}{x^2}=?$
27. $(a + 1)(a − 1) (a^2+1)$ is equal to-
28. $(82)^2-18^2$ is equal to-
29. How many edges does a square prism have?
30. Three cubes of iron whose edges are 6 cm, 8 cm and 10 cm respectively are melted and formed into a single cube. The edge of the new cube formed is-
31. If the capacity of a cylindrical tank is $1848 m^3$ and the diameter of its base is 14 m, the depth of the tank is -
32. The edges of a cuboid are in the ratio 1:2:3 and its surface area is 88 cm². The volume of they cuboid is -
33. The parallel sides of a trapezium are in the ratio 4:3 and the perpendicular distance between them is 12 cm. If the Area of the trapezium is 630 cm², then its shorter of the parallel side is-
34. The base of a triangle is four times its height and its area is 50 cm². The length of its base is
35. $\frac{3^n\cdot 3^{2n+1}}{9^n\cdot 3^{n-1}}$ is equal to-
36. $4^{3.5} : 2^5$ is the same as-
37. If $a=b^{2/3}$ and $b=c^{-2},$ then what is the value of a in terms of c?
38. What is the scale taken for the times axis ?
39. How much time did the person take for the travel?
40. How far is the place of the merchant from town?
41. When did the person stop on the way?
42. During which period did he ride the fastest ?
43. Then what is the value of A+B+C?
44. If y denotes the digit at hundreds place of the number 67y 19, such that the number is divisible by 11. The value of y is-
45. Find three whole numbers a, b and c such that $a + b + c = a × b × c,$ then what is the value of $a^2+b^2+c^2?$
46. 3+23y-8y² is equal to-
47. A motor car starts with a speed of 70 km/hr with its speed increasing every 2 hrs. by 10 km/hr. In how many hours will it cover 345 kms?
48. $\left(\frac{1}{4}x^2-\frac{1}{2}x-12\right)\div \left(\frac{1}{2}x-4\right)$ is equal to-
49. 1200 soldiers in a fort had enough food for 28 days. After 4 days, some soldiers were transferred to another fort and thus the food lasted now for 32 more days. How many soldiers left the fort?
50. If the perimeter of an isosceles right triangle is $(6+3√2)m,$ then the area of the triangle is –