The CLAT exam requires strong analytical skills, critical thinking, and careful reading, along with a clear understanding of the Algebra. This article provides a set of MCQs on Algebra to help you practice and strengthen your knowledge with the help of detailed solutions, which will support your CLAT 2026 exam preparation.
Whether you're revising the basics or testing your knowledge, these MCQs will serve as a valuable practice resource.
The CLAT 2026 exam is expected to follow a similar trend to the CLAT 2025, with a total of 120 questions for one mark, and 0.25 marks are deducted for each incorrect answer.
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CLAT MCQs on Algebra
1. Difference between two numbers is 9 and difference between their squares is 981. Lowest of the two numbers is:
A 40
B 50
C 55
D 59
2. The 10th term of the series 5, 8, 11, 14, … is:
A 32
B 35
C 38
D 185
3. Of the three numbers, the first is one-third of the second and twice the third. The average of these numbers is 27. The largest of these numbers is
A 18
B 36
C 54
D 108
4. \( -x^2(a-b) + a^2(b-x) + b^2(x-a) \) is factored as:
A \((a-b)(x-a)(x-b)\)
B \((a-b)(x-a)(x+b)\)
C \((b-a)(x+a)(x-b)\)
D \((a+b)(x-a)(x+b)\)
5. A part of monthly hostel charges is fixed and the remaining depends on the number of days one has taken food in the mess. When a student A takes food for 20 days, she has to pay Rs. 1000 as hostel charges whereas a student B, who takes food for 26 days, pays Rs. 1180 as hostel charges. Find the fixed charges and the cost of food per day.
A 300, 30
B 400, 40
C 200, 20
D 400, 30
6. A man earns Rs. 20 on the first day and spends Rs. 15 on the next day. He again earns Rs. 20 on the third day and spends Rs. 15 on the fourth day. If he continues to save in this way, how soon will he have Rs. 60 in hand?
A On 27th day
B On 24th day
C On 12th day
D On 17th day
7. Two consecutive even positive integers, sum of the squares of which is 1060 are
A 12 and 14
B 22 and 24
C 20 and 22
D 16 and 18
8. A train which is moving at an average speed of 40 kmph, reaches its destination on time. When its average speed reduces to 35 kmph, then it reaches its destination 15 minutes late. The distance travelled by the train is:
A 80 kms
B 40 kms
C 70 kms
D 30 kms
9. If the product of zeroes of the polynomial \( ax^2 - 6x - 6 \) is 4, find the value of 'a'
A -3/2
B -1/2
C 3/2
D 1/2
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