CLAT Algebra Practice Questions With Solutions

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CLAT Quantitative Techniques Algebra Practice Questions

InstructionThese instructions are applicable only to questions 1 to 5

Direction: In the figure given below, a goat is tied to a pole (at point O) which is the center of the semi -circular plot. The area of the plot is equal to its perimeter. BO is the length of the rope through which the goat is tied to the pole. Answer to the closest decimal. [A diagram shows a semi-circle with diameter AC and center O. A point B is on the circumference, such that BO is the radius and is perpendicular to the diameter AC.]

Question 1.

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The length of the rope is

Question 2.

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The area of the plot is

Question 3.

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If a triangle is created by joining points A, B, and C. What will be the length of AB?

Question 4.

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What will be the area of the triangle ABC?

Question 5.

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What will be the perimeter of the triangle ABC?

Question 6.

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value of “A” in the expression, 5+12×10÷120 240=A×10,is:

Question 7.

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Father is 3 years older than the mother and the mother’s age is now twice the daughter’s age. If the daughter is 20 years old now, then the father’s age when the daughter was born is:

Question 8.

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If 80% of A=20% of B and B=5x% of A, then the value of X is:

Question 9.

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A man can row 5 km/h in still water. If the speed of the current is 1 km/h, it takes 3 hrs more in upstream than in the downstream for the same distance. the distance is:

Question 10.

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A farmer has some hens and some goats. If the total number of animal heads is 80 and the total number of animal feet is 200, what is the total number of goats?
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Question 1.

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A man went to the Reserve Bank of India with Rs. 2000. He asked the cashier to give him Rs. 10 and Rs. 20 notes only in return. The man got 150 notes in all. How many notes of Rs. 10 did he receive?

Question 2.

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The value of k for which kx + 3y - k + 3 = 0 and 12x + ky = k, have infinite solutions, is:

Question 3.

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If a point (x, y) in a OXY plane is equidistant from (-1, 1) and (4, 3) then:

Question 4.

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Akbar will turn 50 when his son Jehangir turns 18. What will be Akbar's age when it will be exactly 5 times that of Jehangir?

Question 5.

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Difference between two numbers is 9 and difference between their squares is 981. Lowest of the two numbers is:

Question 6.

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If (9/7)3 x (49/81)2x-6 =(7/9)9, then the value of x is:
InstructionThese instructions are applicable only to questions 7 to 26
From the four answers given, shade the appropriate answer.

Question 7.

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The average monthly income of a person in a certain family of 5 members is Rs. 1000. What will be monthly average income of one person in the same family if the income of one person increased by Rs. 12,000 per year?

Question 8.

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A dishonest shopkeeper uses a weight of 800 gm for a kg and professes to sell his good at cost price. His profit is

Question 9.

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By selling 11 oranges for a rupee, a man loses 10%. How many oranges for a rupee should he sell to gain 10%?

Question 10.

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A person takes 3 hours to walk a certain distance and riding back. He could walk both ways in 5 hours. How long could it take to ride both ways.

Question 11.

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change 1/8 into percentage

Question 12.

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12.5% of 80 is equal to

Question 13.

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Which number should Fill the blank space to complete the series: 1, 2, 4, 5, 7, 8, 10, 11, ....

Question 14.

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The smallest of the fractions given below

Question 15.

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Three friends shared the cost of a television. If Amit, Bharat and Dinesh paid Rs. 3000, Rs. 1800 and Rs. 1200 respectively, then Dinesh paid what percent of the total cost?

Question 16.

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The average age of 29 boys of a class is equal to 14 years. When the age of the class teacher is included the average becomes 15 years. Find the age of the class teacher.

Question 17.

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It takes 8 people working at equal rates to finish a work in 96 days. How long will 6 workers take for the same work?

Question 18.

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Ram's income is 20% less than Shyam's. How much is Shyam's income more than Ram's in percentage terms?

Question 19.

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The monthly salary of A, B and C are in the ratio 2: 3: 5. If C's monthly salary is Rs. 1,200 more than that of A, find B's monthly salary.

Question 20.

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In a town there are 94500 people. 2/9 of them are foreigners, 6400 are immigrants and the rest are natives. How many are natives?

Question 21.

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Total salary of three persons A, B and C is Rs. 1,44,000. They spend 80%, 85% and 75% respectively. If their savings are in the ratio 8: 9: 20, find C's salary.

Question 22.

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The population of a town is 155625. For every 1000 males there are 1075 females. If 40% of the males and 24% of the females are literate, find the percentage of literacy in the town.

Question 23.

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10 sheep and 5 pigs were brought for Rs. 6,000. If the average price of a sheep is Rs. 450, find the average price of pig.

Question 24.

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Ram weighs 25 kg more than Shyam. Their combined weight is 325 kg. How much does Shyam weight?

Question 25.

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Find out the wrong number in the series: 3, 8, 15, 24, 34, 48, 63

Question 26.

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What is the location value of 7 in the figure 9872590?
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