CAT 2019 Slot 1 QA questions, answer key and solutions

The Quantitative Ability (QA) section of CAT 2019 Slot 1: 34 questions in 60 minutes, 11 TITA and 23 MCQ. The answer key below is CAT's official one.

Q	Question	Topic	Type	Answer
Q1	In a class, 60% of the students are girls and the rest are…	Percentages & Profit-Loss	TITA	20
Q2	If (5.55)^x = (0.555)^y = 1000, then the value of 1/x - 1/y…	Equations	MCQ	B
Q3	With rectangular axes of coordinates, the number of paths…	Permutations & Probability	TITA	3920
Q4	A club has 256 members of whom 144 can play football, 123…	Set Theory	MCQ	B
Q5	In a circle of radius 11 cm, CD is a diameter and AB is a…	Geometry	MCQ	C
Q6	Meena scores 40% in an examination and after review, even…	Percentages & Profit-Loss	MCQ	D
Q7	Corners are cut off from an equilateral triangle T to…	Geometry	MCQ	C
Q8	Let T be the triangle formed by the straight line 3x + 5y…	Coordinate Geometry	TITA	9
Q9	For any positive integer n, let f(n) = n(n + 1) if n is…	Functions & Graphs	TITA	10
Q10	If the population of a town is p in the beginning of any…	Progressions & Series	MCQ	C
Q11	A person invested a total amount of Rs 15 lakh. A part of it…	Interest	TITA	9
Q12	The product of two positive numbers is 616. If the ratio of…	Equations	MCQ	A
Q13	On selling a pen at 5% loss and a book at 15% gain, Karim…	Percentages & Profit-Loss	MCQ	A
Q14	Two cars travel the same distance starting at 10:00 am and…	Time, Speed & Distance	MCQ	A
Q15	At their usual efficiency levels, A and B together finish a…	Time & Work	MCQ	A
Q16	If a_1 + a_2 + a_3 + ... + a_n = 3(2^n+1 - 2), then a_11…	Progressions & Series	TITA	6144
Q17	The number of the real roots of the equation 2cos(x(x + 1))…	Functions & Graphs	MCQ	C
Q18	The income of Amala is 20% more than that of Bimala and 20%…	Percentages & Profit-Loss	MCQ	C
Q19	In a race of three horses, the first beat the second by 11…	Time, Speed & Distance	TITA	880
Q20	If a_1, a_2, ......... are in A.P , 1/(√(a_1) + √(a_2)) +…	Progressions & Series	MCQ	A
Q21	AB is a diameter of a circle of radius 5 cm. Let P and Q be…	Geometry	MCQ	C
Q22	One can use three different transports which move at 10, 20…	Time, Speed & Distance	MCQ	A
Q23	Amala, Bina, and Gouri invest money in the ratio 3 : 4 : 5…	Ratio, Mixtures & Averages	MCQ	D
Q24	If m and n are integers such that ( √(2) )^19 3^4 4^2 9^m…	Logarithms & Exponents	MCQ	C
Q25	A chemist mixes two liquids 1 and 2. One litre of liquid 1…	Ratio, Mixtures & Averages	MCQ	C
Q26	Let x and y be positive real numbers such that log_5(x + y)…	Logarithms & Exponents	MCQ	B
Q27	If the rectangular faces of a brick have their diagonals in…	Mensuration	MCQ	A
Q28	Let S be the set of all points (x,y) in the x-y plane such…	Coordinate Geometry	TITA	2
Q29	The number of solutions of the equation \|x\|(6x^2 + 1) = 5x^2…	Inequalities & Modulus	TITA	5
Q30	Three men and eight machines can finish a job in half the…	Time & Work	TITA	13
Q31	The product of the distinct roots of \|x^2 - x - 6\| = x + 2…	Inequalities & Modulus	MCQ	B
Q32	The wheels of bicycles A and B have radii 30 cm and 40 cm…	Time, Speed & Distance	MCQ	B
Q33	Consider a function f(x+y) = f(x) f(y) where x , y are…	Functions & Graphs	TITA	3
Q34	Ramesh and Gautam are among 22 students who write an…	Ratio, Mixtures & Averages	MCQ	A

Topics in this section

Topic	Questions
Percentages & Profit-Loss	4
Time, Speed & Distance	4
Functions & Graphs	3
Geometry	3
Progressions & Series	3
Ratio, Mixtures & Averages	3
Coordinate Geometry	2
Equations	2
Inequalities & Modulus	2
Logarithms & Exponents	2
Time & Work	2
Interest	1
Mensuration	1
Permutations & Probability	1
Set Theory	1

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