Instructions

For the following questions answer them individually

Question 1

The number of positive integer valued pairs (x, y), satisfying 4x - 17 y = 1 and x < 1000 is:

Question 2

Let a, b, c be distinct digits. Consider a two digit number $$'ab'$$ and a three digit number $$'ccb'$$, both defined under the usual decimal number system. If ($$ab^{2} = ccb$$) and $$ccb > 300$$ then the value of b is

Question 4

Ten points are marked on a straight line and eleven points are marked on another straight line. How many triangles can be constructed with vertices from among the above points?

Question 5

For a scholarship, at most n candidates out of 2n + 1 can be selected. If the number of different ways of selection of at least one candidate is 63, the maximum number of candidates that can be selected for the scholarship is:

Question 6

The speed of a railway engine is 42 Km per hour when no compartment is attached, and the reduction in speed is directly proportional to the square root of the number of compartments attached. If the speed of the train carried by this engine is 24 Km per hour when 9 compartments are attached, the maximum number of compartments that can be carried by the engine is:

Question 7

Total expenses of a boarding house are partly fixed and partly varying linearly with the number ofÂ boarders. The average expense per boarder is Rs. 700 when there are 25 boarders and Rs. 600Â when there are 50 boarders. What is the average expense per boarder when there are 100 boarders?

Question 8

Forty percent of the employees of a certain company are men, and 75 percent of the men earn more than Rs. 25,000 per year. If 45 percent of the company's employees earn more than Rs. 25,000 per year, what fraction of the women employed by the company earn Rs. 25,000 year or less'?

Question 10

If n = 1 + x, where x is the product of four consecutive positive integers, then which of the following is/are true?

A. n is odd

B. n is prime

C. n is a perfect square

Incase of any issue contact support@cracku.in

Linear Equations
Inequalities
Quadratic Equations
Averages, Ratios & Proportions
Profit & Loss
Number Systems
Time, Distance & Work
Geometry
Progressions & Series
Probability Combinatorics
Venn Diagrams
Data Sufficiency
Logarithms, Surds & Indices
Functions, Graphs & Statistics
Miscellaneous

DI Basics
DI Charts
Data Interpretation
DI Data Change Over Period
Tables With Missing Values
DI Venn Diagrams
DI Special Charts
DI Maxima & Minima
Quant-Based DI
DI Connected Sets
DI Miscellaneous
LR Arrangement
LR Selections With Conditions
LR Coins & Weights
LR Truth & Lie
LR Puzzles
LR Scheduling
LR Games & Tournaments
2D & 3-D LR
Quant-Based LR
LR Miscellaneous