Instructions

For the following questions answer them individually

Question 61

A straight road connects points A and B. Car 1 travels from A to B and Car 2 travels from B to A, both leaving at the same time. After meeting each other, they take 45 minutes and 20 minutes, respectively, to complete their journeys. If Car 1 travels at the speed of 60 km/hr, then the speed of Car 2, in km/hr, is

Question 62

A person spent Rs 50000 to purchase a desktop computer and a laptop computer. He sold the desktop at 20% profit and the laptop at 10% loss. If overall he made a 2% profit then the purchase price, in rupees, of the desktop is

Backspace

789

456

123

0.-

Clear All

Submit
789

456

123

0.-

Clear All

Question 63

A solution, of volume 40 litres, has dye and water in the proportion 2 : 3. Water is added to the solution to change this proportion to 2 : 5. If one fourths of this diluted solution is taken out, how many litres of dye must be added to the remaining solution to bring the proportion back to 2 : 3?

Backspace

789

456

123

0.-

Clear All

Submit
789

456

123

0.-

Clear All

Question 65

An alloy is prepared by mixing three metals A, B and C in the proportion 3 : 4 : 7 by volume. Weights of the same volume of the metals A. B and C are in the ratio 5 : 2 : 6. In 130 kg of the alloy, the weight, in kg. of the metal C is

Question 66

The number of distinct real roots of the equation $$(x+\frac{1}{x})^{2}-3(x+\frac{1}{x})+2=0$$ equals

Backspace

789

456

123

0.-

Clear All

Submit
789

456

123

0.-

Clear All

Question 67

If $$\log_{4}{5}=(\log_{4}{y})(\log_{6}{\sqrt{5}})$$, then y equals

Backspace

789

456

123

0.-

Clear All

Submit
789

456

123

0.-

Clear All

Question 68

Leaving home at the same time, Amal reaches the office at 10:15 am if he travels at 8 km/hr, and at 9:40 am if he travels at 15 km/hr. Leaving home at 9.10 am, at what speed, in km/hr, must he travel so as to reach office exactly at 10 am?

Question 69

A train travelled at one-thirds of its usual speed, and hence reached the destination 30 minutes after the scheduled time. On its return journey, the train initially travelled at its usual speed for 5 minutes but then stopped for 4 minutes for an emergency. The percentage by which the train must now increase its usual speed so as to reach the destination at the scheduled time, is nearest to

Incase of any issue contact support@cracku.in

CAT Arithmetic QuestionsCAT Averages, Ratio and Proportion QuestionsCAT Averages QuestionsCAT Geometry QuestionsCAT Averages Mixtures Alligations Questions

CAT Coins and Weights QuestionsCAT Selection With Condition QuestionsCAT Scheduling QuestionsCAT Venn Diagrams QuestionsCAT Quant Based LR Questions