Q.5. If log4 5 = (log4 y) (log6 √5),then y equals
Q.6. The number of real-valued solutions of the equation 2x + 2-x =2 – (x – 2)2 is
Q.9. If x = (4096)7+4√3, then which of the following equals 64?
Q.10. The mean of all 4 digit even natural numbers of the form ‘aabb’, where a>0, is
Q.11. The number of distinct real roots of the equation (x + 1/x)2 – 3 (x + 1/x
Q.16. The area of the region satisfying the inequalities |x| – y ≤ 1, y ≥ 0, and y ≤ 1 is
Q.21. If y is a negative number such that then y equals
Q.4. The number of pairs of integers(x,y) satisfying x ≥ y ≥ -20 and 2x + 5y = 99 is
Q.5. The value of loga a/b + logb b/a for 1 < a ≤ b cannot be equal to
Q.10. For real x, the maximum possible value of X/(√(1+ x4) ) is
Q.17. The number of integers that satisfy the equality (x2 – 5x + 7)x + 1 = 1 is
Q.18. In how many ways can a pair of integers (x , a) be chosen such that x2 − 2 | x | + | a – 2 | = 0 ?
Q.1. If x1 = -1 and xm = xm + 1 + (m + 1) for every positive integer m, then x100 equals
Q.3. Let loga30 = A, loga 5/3 = -B and log2a = 1/3 , then log3a equals
Q.7. How many of the integers 1, 2, … , 120, are divisible by none of 2, 5 and 7?
Q.9. If f(x+y) = f(x)f(y) and f(5) = 4, then f(10) – f(-10) is equal to
Q.10. Equals
Q.11. If a,b,c are non-zero and 14a = 36b = 84c, then 6b (1/c – 1/a) is equal to
Q.15. Let k be a constant. The equations kx + y = 3 and 4x + ky = 4 have a unique solution if and only if
Q.16. How many integers in the set {100, 101, 102, …, 999} have at least one digit repeated?
Q.26. How many pairs (a,b) of positive integers are there such that a ≤ b and ab = 42017?
Inspiring Education… Assuring Success!!
Ⓒ 2020 – All Rights Are Reserved