2020-MATHEMATICS (AISSEE)

Questions in this test

1. Find the difference between the greatest and the least number that can be written using the digits 6, 2, 7, 4, 3 each only once.
2. Estimate the product 5980 × 428 by rounding off each number to the nearest hundreds.
3. Three numbers are in the ratio of 3 : 4 : 5 and their LCM is 2400. Their HCF is :
4. Leela reads 25 pages of a book containing 100 pages. Lalita read 2/5 of the same book. Who read less and by how much?
5. $\left(\frac{\sqrt{625}}{11}\times \frac{14}{\sqrt{25}}\times \frac{11}{\sqrt{196}}\right)$ is equal to
6. Naveen bought 3 m 20 cm cloth for his shirt and 2 m 5 cm cloth for his trousers. Find the total length of cloth bought by him.
7. The least common multiple of 3, 4 and 9 is :
8. An aeroplane covers a certain distance at a speed of 240 km/h in 5 hours. To cover the same distance in $1\frac{2}{3}$ hours, it must travel at a speed of?
9. ‘A’ can lay railway track between two given stations in 16 days and ‘B’ can do the same job in 12 days. With the help of ‘C’, they did the job in 4 days only. Then, ‘C’ alone can do the job in how many days?
10. In the figure, find the ratio of number of triangles to the number of circles inside the rectangle and the Number of squares to all the figures inside The rectangle.
11. Ram, Rahul and Rohit shared a bag of marbles. The bag contained 272 marbles. How many marbles were left over after the friends share them equally?
12. Cost of 4 dozens of bananas is Rs 60. How many bananas can be purchased for Rs 12.50?
13. The average weight of 16 boys in a class is 50.25 kg and that of the remaining 8 boys is 45.15 kg. Find the average weight of all the boys in the Class.
14. Manju runs around a rectangular park of length 35 m and breadth 20 m. Meenu runs around a square park of side 30 m. Who covers less distance any by how much, if Meenu takes 4 rounds and Manju takes 3 rounds completely.
15. A photo frame is in the shape of quadrilateral with one diagonal longer than the other. Which of the following is the possible shape of the photo frame?
16. The product of a non-zero whole number and its successor is always:
17. A sum fetched a total simple interest of Rs 4016.25 at the rate of 9 % in 5 years. What is the sum?
18. Find the angle measure between the hands of the clock when time shows 6 PM.
19. Find the volume of a cube of side 6 cm:
20. Write Roman numerical CDXXXIX in Arabic numeral.
21. The product of two numbers is 1296. If one number is 16 times the other, find the smaller number.
22. The measure of an angle is ¾ of 60°. What is the measure of its complementary angle?
23. Subtract the difference of 8.362 and 7.942 from the sum of 5.675 and 1.327.
24. Find the perimeter of the figure:
25. How much time will it take for an amount of Rs 450 to yield Rs 81 as interest at 4.5% per annum of simple interest?
26. In a triangle, if the second angle is 2 times the first angle and the third angle is 3 times the first angle, find the angles of the triangle.
27. The area of a circle is $616cm^2$ Find its diameter. $(π= 22/7)$
28. Find the quotient when 53.016 is divided by 24.
29. A rectangular path of 60 m length and 3 m width is covered by square tiles of side 25 cm. Find the number of tiles used to make this path?
30. What is the value of A in 475 +64% of 950 = 900 + A.
31. What will be HCF of 216, 288 and 720?
32. Solve $( 106 ×106 – 94 × 94 ) =?$
33. If 2/3 of 70% of 600, when subtracted from a number is 320, what is the number?
34. A mobile phone is sold for Rs 1650 after purchasing it for Rs 1500. What is the percentage of profit?
35. In the first test of mathematics a student gets 18 marks out of 25. In the second test of same weightage he got 22 marks. What percentage of marks did he get more in the second test?
36. Average of 20 results is 18. If 3 is subtracted from each result, then what will be the new average?
37. Solve: $\frac{\frac{7}{3}\times \frac{2}{3}\div \frac{3}{5}}{2+1\frac{2}{3}}$ :
38. If 90.0675 is divided by 15, then quotient is:
39. How many seconds are there in 24 hours?
40. $\sqrt{1089\div 121}$ value is:
41. If angles A, B and C in a triangle ABC are 3x, 5x and 8x + 4 respectively, then find all the three angles.
42. What are prime factors of 37800?
43. $(10$% of 3.75 + 15% of 7.25) convert into decimal:
44. Which sequence correctly matches these angles with their measures.
45. I am a prime number. If you subtract 2 from me, I become divisible by 7.
46. Which place had the highest temperature at 3 AM?
47. Which place is the coolest at 3 PM?
48. How much higher is the temperature in Mumbai from that of Srinagar at 3 PM?
49. How many degrees will the temperature at 3 AM need to rise for it to reach 40 degrees Celsius in Thiruvananthapuram.
50. How much lower is the temperature of Kolkata from that in Chennai at both times $(3$ AM and 3 PM )?