**Q.5.** If log_{4} 5 = (log_{4} y) (log_{6} √5),then y equals

**Q.6.** The number of real-valued solutions of the equation 2^{x} + 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 log_{a }a/b + log_{b }b/a for 1 < a ≤ b cannot be equal to

**Q.10.** For real x, the maximum possible value of X/(√(1+ *x*4) ) is

**Q.17.** The number of integers that satisfy the equality (x^{2} – 5x + 7)^{x + 1} = 1 is

**Q.1.** If x_{1} = -1 and x_{m} = x_{m + 1} + (m + 1) for every positive integer m, then x_{100} equals

**Q.3.** Let log_{a}30 = A, log_{a }5/3 = -B and log_{2}a = 1/3 , then log_{3}a 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 14^{a} = 36^{b} = 84^{c}, 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 = 4^{2017}?

Counselling Session

By IIM Mentor

- Sequential Output Tracing (Input Output)
- Syllogism
- Critical Reasoning: Assumptions & Conclusions
- Relationships
- Cause & Effect
- Circular Arrangement
- Coding-Decoding
- Complex Arrangements
- Critical Reasoning: Course of Action
- Critical Path
- Direction and Word Puzzle
- Games And Tournaments
- Linear Arrangement
- Team Selection
- Venn Diagram
- Bar Graphs
- Data Sufficiency
- Line Graph
- Pie Chart
- Tables and Caselets

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