CAT - Prev. Papers Year-wise test 21

If x + y = 13 and xy = 36, find x² + y². If x + y = 13 and xy = 36, find x² + y².

3 Mark(s)

97 97
121 121
85 85
109 109

Compound interest on ₹2000 at 5% per annum for 2 years is: Compound interest on ₹2000 at 5% per annum for 2 years is:

3 Mark(s)

₹205 ₹205
₹200 ₹200
₹210 ₹210
₹195 ₹195

Solve: x² − 81 = 0 Solve: x² − 81 = 0

3 Mark(s)

x = 9 or −9 x = 9 or −9
x = 81 x = 81
x = −81 x = −81
x = 0 x = 0

Find the next term: 1, 3, 6, 10, 15, ? Find the next term: 1, 3, 6, 10, 15, ?

3 Mark(s)

21 21
20 20
22 22
19 19

A quantity increases from 450 to 540. Percentage increase is: A quantity increases from 450 to 540. Percentage increase is:

3 Mark(s)

20% 20%
15% 15%
25% 25%
18% 18%

A paragraph says social media enables activism but can also encourage performative outrage. Best summary? A paragraph says social media enables activism but can also encourage performative outrage. Best summary?

3 Mark(s)

Social media helps activism but can promote performative outrage
Social media only harms activism Social media only harms activism
Outrage and activism are unrelated Outrage and activism are unrelated
Social media eliminates outrage Social media eliminates outrage

If 16% of a number is 64, the number is: If 16% of a number is 64, the number is:

3 Mark(s)

400 400
360 360
420 420
380 380

Is n divisible by 60? I. n divisible by 12. II. n divisible by 5. Is n divisible by 60? I. n divisible by 12. II. n divisible by 5.

3 Mark(s)

Both together sufficient Both together sufficient
I alone sufficient I alone sufficient
II alone sufficient II alone sufficient
Neither sufficient Neither sufficient

If an author says “simplicity can be a form of sophistication,” it implies: If an author says “simplicity can be a form of sophistication,” it implies:

3 Mark(s)

Simple solutions may reflect deep understanding
Sophistication always requires complexity
Simple ideas are always wrong Simple ideas are always wrong
Complexity guarantees quality Complexity guarantees quality

Remainder when 3^7 is divided by 2 is: Remainder when 3^7 is divided by 2 is:

3 Mark(s)

1 1
0 0
2 2
Cannot be determined Cannot be determined

Area of a square with side 9 cm is: Area of a square with side 9 cm is:

3 Mark(s)

81 cm² 81 cm²
72 cm² 72 cm²
90 cm² 90 cm²
99 cm² 99 cm²

HCF of 84 and 126 is: HCF of 84 and 126 is:

3 Mark(s)

42 42
21 21
14 14
63 63

Among A, B, C, D: B is ahead of A; C is behind A; D is ahead of B. Who is last? Among A, B, C, D: B is ahead of A; C is behind A; D is ahead of B. Who is last?

3 Mark(s)

A passage argues that “technology expands access, but without literacy it widens divides.” The central idea is: A passage argues that “technology expands access, but without literacy it widens divides.” The central idea is:

3 Mark(s)

Access must be paired with literacy to avoid widening inequality
Technology always reduces divides Technology always reduces divides
Literacy is irrelevant to access Literacy is irrelevant to access
Divides disappear automatically with technology

In a group of 200, 120 like tea, 110 like coffee, and 50 like both. How many like only coffee? In a group of 200, 120 like tea, 110 like coffee, and 50 like both. How many like only coffee?

3 Mark(s)

60 60
110 110
50 50
70 70

An item is sold for ₹1150 at a profit of 15%. Cost price is: An item is sold for ₹1150 at a profit of 15%. Cost price is:

3 Mark(s)

₹1000 ₹1000
₹1050 ₹1050
₹980 ₹980
₹1100 ₹1100

The word “scrutinize” most nearly means: The word “scrutinize” most nearly means:

3 Mark(s)

Examine closely Examine closely
Ignore Ignore
Praise Praise
Simplify Simplify

A bike covers 150 km in 5 hours. Speed is: A bike covers 150 km in 5 hours. Speed is:

3 Mark(s)

30 km/h 30 km/h
25 km/h 25 km/h
35 km/h 35 km/h
40 km/h 40 km/h

In a 30-litre mixture, oil and kerosene are in ratio 2:3. Quantity of oil is: In a 30-litre mixture, oil and kerosene are in ratio 2:3. Quantity of oil is:

3 Mark(s)

12 litres 12 litres
18 litres 18 litres
10 litres 10 litres
15 litres 15 litres

Calling a claim “bold but brittle” indicates the tone is: Calling a claim “bold but brittle” indicates the tone is:

3 Mark(s)

Skeptical and critical Skeptical and critical
Fully supportive Fully supportive
Playful Playful
Indifferent Indifferent

CAT - Prev. Papers Year-wise test 21 : Question 1 of 20