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Q.No: 1
Test Name : CAT 2019 Actual Paper Slot 1

The number of solutions to the equation |x|(6x2 + 1) = 5x2 is

Answer key/Solution
Solution:
Q.No: 2
Test Name : CAT Actual Paper 2020 Slot-2

In how many ways can a pair of integers (x , a) be chosen such that x2 – 2 | x | + | a – 2 | = 0 ?

A
7
B
6
C
5
D
4
Answer key/Solution
Solution:
Q.No: 3
Test Name : CAT Actual Paper 2021 Slot-1

If r is a constant such that |x2 – 4x – 13| = r has exactly three distinct real roots, then the value of r is

A
15
B
21
C
18
D
17
Answer key/Solution
Solution:
Q.No: 4
Test Name : CAT Actual Paper 2021 Slot-2


A
B
C
D
Answer key/Solution
Solution:
Q.No: 5
Test Name : CAT Actual Paper 2021 Slot-3


A
-4/3
B
1
C
0
D
8/3
Answer key/Solution
Solution:
Q.No: 6
Test Name : CAT Actual Paper 2021 Slot-3

A tea shop offers tea in cups of three different sizes. The product of the prices, in INR, of three different sizes is equal to 800. The prices of the smallest size and the medium size are in the ratio 2 : 5. If the shop owner decides to increase the prices of the smallest and the medium ones by INR 6 keeping the price of the largest size unchanged, the product then changes to 3200. The sum of the original prices of three different sizes, in INR, is

Answer key/Solution
Solution:
Q.No: 7
Test Name : CAT Actual Paper 2023 Slot 1

The number of integer solutions of equation 2|x|(x2 + 1) = 5x2 is

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Solution:
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