Q. What is the derivative of sin2,x with respect to cos2x?
1) tan2x
2) cot2x
3) -1
4) 1
Q. What is the interval over which the function f(x) = 6x - x2, x > 0 is increasing?
1) (0, 3)
2) (3, 6)
3) (6, 9)
4) None of above
Q. What least number of 5 digits is divisible by 41?
1) 10045
2) 10004
3) 10041
4) 41000
Q. If the product of four consecutive natural numbers increased by a natural number P, is a perfect square; then the value of P is -
1) 8
2) 4
3) 2
4) 1
Q. The sixth term of the sequence 11, 13, 17, 19, 23, __, 29 is -
1) 24
2) 19
3) 25
4) 22
Q. The wrong term in the sequence 7, 28, 63, 124, 215, 342, 511 is -
1) 7
2) 28
3) 124
4) 215
Q. A man repays a loan of Rs. 3,250 by paying Rs. 20 in the first month and then increases the payment by Rs. 15 every month. How many months will it take him to clear the loan?
1) 26
2) 25
3) 23
4) 20
Q. A person deposited a sum of Rs. 6,000 in a bank at 5% per annum simple interest. Another person deposited Rs. 5,000 at 8% per annum compound interest. After two years, the difference in their interests will be -
1) Rs. 230
2) Rs. 232
3) Rs. 832
4) Rs. 600
Q. If the simple interest for 6 years is equal to 30% of the principal, it will be equal to the principal after -
1) 20 years
2) 30 years
3) 10 years
4) 22 years
Q. If the rate of interest is 4% per annum for the first year, 5% per annum for the second year, and 6% per annum for the third year, then the compound interest of Rs. 10,000 for 3 years will be -
1) Rs.1,600
2) Rs.1,625.80
3) Rs.1,575.20
4) Rs.2,000
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