1. The ratio of two numbers are 3 : 4. The difference of their squares is 28 .Greater number is:
2. The price of scooter and moped are in the ratio 7 : 9. The price of moped is ` 1600 more than that of scooter. Then the price of moped is:
3. log0.0110,000 = ?
4. Value of [9n+1
4.
√3.3n
3.√3-n]
1
n
5. Roots of the equation x3+9x2 – x – 9 = 0.
6. 2
5
3
10
5
10
15
x
x
+
+
+
=, then value of x
7. Find value of x2 – 10x + 1, if x =
1
5−2√6
8. Find the value of k in 3x2 – 2kx + 5 = 0, if x = 2.
9. 6x + y ≥ 18, x + 4y ≥ 12, 2x + y ≥ 10 , On solving the inequalities; we get:
10. A man invests ` 12,000 at 10% p.a. and another sum of money at 20% p.a for one year. The total investment earns at 14% p.a. simple interest the total investment is:
11. The difference in simple interest of a sum invested of ` 1,500 for 3 years is ` 18. The difference in their rates is:
12. Find the effective rate of interest on ` 10,000 on which interest is payable half yearly at 5% p.a.
13. Find the effective rate of interest at 10% p.a. when interest is payable quarterly.
14. What will be the population after 3 years when present population is 25,000 and population increases at the rate of 3% in 1st year, at 4% in 2nd year and at 5% in 3rd year?
15. The value of scooter is ` 10,000. Find its value after 7 years if rate of depreciation is 10% p.a.
16. SI = 0.125 P at 10% p.a. Find Time.
17. How much amount is required to be invested every year as to accumulate ` 6,00,000 at the end of 10 years, if interest is compounded annually at 10% rate of interest [Given : (1:1)10 = 2.59374].
18. The difference between the CI and SI for 2 year is 21. If the rate of interest is 5%, the final principal is:
19. Present value of a scooter is ` 7,290. If its value decreases every year by 10%, then its value before 3 years is equal to:
20. Mr. X lent some amount of money at 4% S.I. and he obtained ` 520 less than he lent in 5 years. The sum lent is
21. ` 8,829 is invested into three different sectors in such a way that their amounts at 4% p.a. S.I. after 5 years; 6 and 8 years are equal. Find each part of the sum.
22. A `1000 bond paying annual dividends at 8.5% will be redeemed at par at the end of 10 years. Find the purchase price of this bond if the investor wishes a yield rate of 8%
23. Mr. X invest ` 10,000 every year starting from today for next: 10 years suppose interest rate is 8% per annual compounded annually. Calculate future value of the annuity.
24. Three girls and five boys are to be seated in a row so that no two girls sit together. Total No. of arrangements are:
25. How many numbers can be formed with the help of 2, 3, 4, 5, 6, 1 which is not divisible by 5, given that it is a five digit number and digits are not repeating?
26. How many different groups of 3 people can be formed from a group of 5 people?
27. In how many ways can 4 people be selected at random from 6 boys and 4 girls if there are exactly two girls?
28. nP3 : nP2 = 2 : 1
29. Sum lying from 100 to 300 which is divisible by 4 and 5 is
30. Sum of x terms of two AP's are in the ratio (3?+ 5) : (5?+ 3) then ratio of their 10th term is
31. Out of total 150 students, 45 passed in Accounts, 30 in Economics and 50 in Maths, 30 in both Accounts and Maths, 32 in both Maths and Economics, 35 in both Accounts and Economics, 25 students passed in all the three subjects. Find the numbers who passed at least in any one of the subjects :
32. Let A = {1,2, 3}, then the relation R = {(1,1), (2, 3), (2, 2), (3, 3), (1,2)} is:
33. Let A be the set of squares of natural numbers and let x∈A, y∈A then
34. If 5th term of G.P. is 32 and 3rd term of G.P. is 8 then 6th term of G.P. is
35. (Not provided)
