CAT Mock Test - QA (Time allowed: 15 minutes for 7 questions) - Test

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CAT Mock Test - QA (Time allowed: 15 minutes for 7 questions)

A test by Ravinder Kumar Mittal.

Test Questions

Question

A function f(x) is said to be an even function if f(-x)= - f(x) and odd if f(-x) = f(x). Using the above definition, find out for what value of a is : f(x) = (a-2)x + 3a - 4 an even function?

Answers

Correct	Answer Text
	0
	-2
	4
	2

Question

A test contains 8 questions. A student must answer at least two of the first five questions and at least one of the remaining three questions. In how many ways can he answer the test, if he must answer five questions in all?

Answers

Correct	Answer Text
	102
	55
	75
	56

Question

A scenery costs Rs. R1. A shopkeeper gives a discount of x % and reduces its price to R2. He gives a further discount of x % on the reduced price R2 to reduce it further to R3, which reduces it by Rs. 415. A customer bargains with him and takes an x % discount on R3 and buys the scenery for Rs. 3362.80. Find the original price R1 of the scenery.

Answers

Correct	Answer Text
	Rs. 5349
	Rs. 4613
	Rs. 4706
	Rs. 4508

Question

A pump can be used either to fill or empty a tank. The capacity of the tank is 3600 @#$%. The emptying capacity of the pump is 10 @#$%/min higher than its filling capacity. What is the emptying capacity of the pump if the pump needs 12 more minutes to fill the tank than to empty it?

Answers

Correct	Answer Text
	50 cum/min
	48 cum/min
	60 cum/min
	45 cum/min

Question

Matchsticks can be used to represent numbers and arithmatic operators. What is the minimum number of matchsticks required to formulate a valid mathematical equation involving at least one operation?

Answers

Correct	Answer Text
	5
	3
	6
	7

Question

Four pipes A,B,C and D are fixed to a reservoir. Through the pipes A,B & C, the reservoir can be filled in 12 minutes; through B,C & D, it can be filled in 15 minutes; and through A & D, in 20 minutes. How much time will it take for all the pipes together to fill the reservoir?

Answers