MODULOUS Question for CAT 1
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Introduction
Tackling the Common Admission Test (CAT) can be an intimidating endeavor, particularly when it involves mastering quantitative aptitude. A crucial concept that often appears in the exam is the modulus function. Grasping how to handle modulus questions is vital for achieving a high score in this section. In this blog, we will delve into various modulus questions aimed at challenging your problem-solving abilities and deepening your understanding of this significant topic. Whether you're taking the test for the first time or aiming to boost your score, these practice questions will equip you with the necessary tools for success. Let's explore the realm of modulus and enhance your CAT exam preparation!
MODULOUS Question for CAT
Q.1 What is the value of |−15|?
a.15
b.-15
c.Both (a) and (b)
d.None of these
Q.2 What is the value of |–7| + |8| + |–9| + |10|.
a.2
b.34
c.-34
d.None of these
Q.3 What is the value of |–5 + |–8| – |–4||.
a.1
b.7
C.9
d.-9
Q.4 If |x − 12| = 18, then the values of x are.
a.6 and 30
b.6 and -30
c.-6 and 30
d.-6 and -30
Q.5 If |x + 8| = 12, then the values of x are
a.-4 and 20
b.4 and -20
c.-4 and -20
d.None of these
Q.6 Find values of x for |3 – x| = 2.
a.1 and 5
b.-1 and 5
c.1 and -5
d.- 1 and - 5
Q.7 Find values of x for |3x – 5| = 7.
a.2/3 and 4
b.2/3 and -4
c.-2/3 and -4
d.-2/3 and 4
Q.8 Find values of x for |6 – 4x| = 2.
a.1 and 4
b.-1 and 4
c.1 and 2
d.1 and -2
Q.9 Solve for x; 2x + |x| = 6
a.2
b.6
c.2 or 6
d.None of these
Q.10 Solve for x; 3x - 2|x| = 5.
a.1
b.5
c.Both (a) and (b)
d.None of these
Q.11 Solve for x; - 2x + |x| = 12
a.-12
b.12
c.4
d.-4
Q.12 Solve for x; |3x – 6| + |2x + 5| = 15
a.-2.8
b.3.2
c.-2.8 or 3.2
d.No solution
Q.13 Solve for x: |2 – x| + |x + 5| = 7.
a.-2 < x < 5
b.-2 ≤ x ≤ 5
c.-5 < x < 2
d.-5 ≤ x ≤ 2
Q.14 Solve for x: ||x - 1| - 2| = 4.
a.-5
b.7
c.-5 or 7
d.None of these
Q.15 Solve for x: ||x - 5| + 4| = 11.
a.-10 and 12
b.- 2 and 10
c.-2 and -12
d.-2 and 12
Q.16 Solve for x: x2 + 3|x| – 4 = 0.
a.1
b.-1
c.Both (a) and (b)
d.None of these
Q.17 Solve for x; x2 + 5|x| + 6 = 0.
a.-3 and -2
b.2 and 3
c.Both (a) and (b)
d.No solution
Q.18 How many real solutions would the equation x2 – 3|x| + 2 = 0 have?
a.1
b.2
c.3
d.4
Q.19 The number of integers satisfying the inequality |x2 – 6x| = 8 is
a.0
b.1
c.2
d.4
Q.20 Find the Number of solutions to x2 – |x – 5| – 7 = 0.
a.0
b.1
c.2
d.3
Q.21 Find the product of real roots of the equation |x + 2|2 – |x + 2| – 2 = 0.
a.0
b.4
c.-4
d.16
Q.22 For how many integral values of ‘x’ is the relation |x2 – 5x – 6| > (x2 – 5x – 6) valid.
a.3
b.6
c.8
d.10
Q.23 If x2 – 6x + |K| = 0 has real root. How many integral values can k assume.
a.17
b.18
c.19
d.20
Q.24 Solve for x; |x – 4| ≤ 3
a.x ≥ 1
b.x ≤ 7
c.x ≤ 1 or x ≥ 7
d.1 ≤ x ≤ 7
ANSWERS
1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 |
A | B | A | C | B | A | D | C | A | B |
11 | 12 | 13 | 14 | 15 | 16 | 17 | 18 | 19 | 20 |
D | C | D | C | D | C | D | D | C | C |
21 | 22 | 23 | 24 | ||||||
A | B | C | D |
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