2019-MATHEMATICS (AISSEE)

Questions in this test

1. A student multiplied 7236 by 65 instead of multiplying by 56. By how much was his answer greater than the correct answer?
2. Simplify : $1\div \left\{\frac{1}{2}+\frac{1}{3}+\frac{1}{6}\div \left(\frac{3}{4}-\frac{1}{3}\right)\right\}$
3. Find the perimeter of the following figure.
4. A floor is 5 m long and 4 m wide. A square carpet of side 3 m is laid on the floor. Find the area of the floor that is not carpeted.
5. Find out the smallest number which is divisible by 6, 12, 18
6. Which of the following measures of angles given can be those of an isosceles triangle?
7. The length of a rectangle is 5 cm more than its breadth. If the perimeter of the rectangle is 50 cm then what is the area?
8. 12 persons can finish a piece of work in 15 days. In how many days will the same work be completed by 20 persons?
9. The LCM of two prime numbers is
10. In a school of 1000 students, 330 come by bus, 400 come walking and the remaining are dropped by parents. What is the percentage of students that do not ride the bus to school?
11. A train from station A to Station B covers a distance of 616 km at a uniform speed of 112 km/hr. It Halts at station. B for 1 hour before starting back. How much time will it take to complete the journey and reach back to station A $($i.e. from A to B and back)?
12. A table was sold at 16 % loss for Rs 3360. Find the cost price of the table
13. There are 17 rooms in a school, every room has two fans and four LED bulbs. How many switches are required for the school if every fan requires a switch and one switch is required for every two bulbs?
14. The product of two decimal numbers is 12.194. If one of them is 4.69, what the other number is?
15. Rahul purchases a chair for Rs. 600 and uses Rs. 200 for repairs. If he sells it for Rs. 1000 then he has:
16. The temperature dropped 15 degrees celsius in the last 30 days. If the rate of temperature drop remains the same, how many degrees will the temperature drop in the next ten days?
17. From a basket of mangoes when counted in twos there was one extra, counted in threes there were two extra, counted in fours there were three extra, counted in fives there were four extra, counted in sixes there were five extra. But counted in sevens there were no extra. At least how many mangoes were there in the basket?
18. Which of the following two digit number when added to 27 gets reversed?
19. The ratio of income to expenditure of Radha is 7:5. If she saves Rs. 2000 a month, what is her annual income?
20. The ratio of the length to breadth of a rectangular lawn is 3:5. It costs Rs. 3200 to fence it at the rate of Rs. 2 a meter. What would be the cost of developing the lawn at the rate of Rs. 10 per square meter?
21. A, B and C divide an amount amongst themselves in the ratio of 4:7:9 respectively. If B’s share in the amount is Rs. 2989, what is the total amount?
22. The average age of a class of 40 students is 18 years. When the teachers age is also included to calculate the average age becomes 19 years. What is the teacher’s age?
23. What is the greatest number which when divides 3026 and 5053 leaves remainders 11 and 13 respectively?
24. Ravi purchased a chair at Rs. 500 and sold it at Rs. 550. What was his gain or loss percent?
25. A certain distance is being covered in 28 hours by walking with a speed of 5 km/h. If the speed is increased by 2 km/h then in how much time the same distance will be covered?
26. A piece of wire 7/8 meter long broke into two pieces. One piece was ¼ meter long. How long is the other piece?
27. What is the missing number in the sequences 2, 5, 10, 14, 18, 23, 26, 32……?
28. 30 men can do a piece of work in 16 days. In how many days 8 men can do the same work?
29. Ram, Shyam and Mohan runs at speed of 75, 50 and 30 m/minute respectively. After how much time will they meet together for the first time running with the same speed?
30. Represent 26 kg 5 gram using concept of decimals.
31. At what rate, a sum of Rs. 6000 will amounts to Rs. 7800 in 5 years?
32. What will be the depth of a cubical pond whose volume is $729m^3$?
33. Evaluate: $3 × 7 + 4 – 6 ÷ 3 – 7 + 45 ÷ 5 × 4 + 49$
34. In what time a train whose length is 100 m moving with a speed of 60 km/h crosses a platform whose length is 150 m?
35. Ashu takes 12 days to complete the work. Pranav takes 10 days to complete the same work. Ashu, Pranav and Ramu take 5 days to complete the same work. How many days will Ramu take to complete the same work?
36. The LCM of two numbers is 28 times of their HCF. The sum of their LCM and HCF is 1740. If one number is 240 then what is the other number?
37. Four clock rings at the time intervals of 6s, 8s, 12s and 18s respectively. If they ring together at 12 am then how many times will they ring together within the time span of 6 minutes?
38. What is the least multiple of 23 which when divided by 18, 21 and 24 leaves remainder 7, 10 and 13 respectively.
39. A milkman has two cans of milk containing 75 litres and 45 litres of milk respectively. What will be the measure of largest vessel that can measure the milk of the two cans exactly?
40. A table was purchased at Rs. 1000 and was sold at Rs. 800. What was gain or loss% in this transaction?
41. The average weight of 6 boys gets increased by 5 kg if a boy with weight 20 kg is replaced by a new boy. What is the weight of new boy?
42. A man covers a distance of 40 km. He covers first 10 km at 10 km/h, second 10 km at 20 km/h, third 10 km at 30 km/h and last 10 km at 40 km/h. What is the average speed of man?
43. If the area of rectangular garden of 5 m breadth is 300 sq. m, then what will be the length of garden?
44. If the square of a number is added to the square of 28 the result is 1808. What is the number?
45. Cost of a dozen pens is Rs. 180 and cost of 8 ball pens is Rs-56. The ratio of the cost of a pen to the cost of a ball pen is
46. A truck requires 108 litres of diesel for covering a distance of 594 km. How much diesel will be required by the truck to cover a distance of 1650 km?
47. Find the simple interest on Rs 5000 at the rate of 7 ½ % for a period of 3 years
48. The angles of a triangle are in the ratio of 1:2:3. Find the values of the angles
49. One number exceeds another number by 36. The sum of numbers is 48 then the numbers are
50. At which one of the following times is the angle between the hands of a clock exactly one straight angle?