# (Paper) CLAT UG Question Paper 2012 : Elementary Mathematics (Numerical Ability)

## (Paper) Previous Year Question Paper (BA LLB) - 2012

## Section - III : Elementary Mathematics (Numerical Ability)

**1. P sells a table to Q at a profit of 10% and Q sells it to R at a profit of 12%. If R pays Rs. 246.40 for it, then how much had P paid for it?**

(A) 200.00

(B) 300.00

(C) 248.00

(D) 346.00

**2. The least value of x, for which the expression x2+x+17 will not give a prime number, is**

(A) 7

(B) 11

(C) 13

(D) 17

**3. A train 300 meters long is running at a speed of 25 meters per second, it will cross a bridge 200 meters long in**

(A) 5 seconds

(B) 10 seconds

(C) 20 seconds

(D)25 seconds

**4. If 0.06% of a number is 84, then 30% of that number is**

(A) 25.2

(B) 420

(C) 42000

(D) 2520

**5. A sum was divided among P, Q & R. R got double than P who got double than Q. If the difference between the shares of Q and R is Rs. 3675.00, then the sum in rupees is**

(A) 4900

(B) 8575

(C) 11025

(D) 7350

**6. If the ratio of the areas of two squares is 25:36, then the ratio of their perimeters is**

(A) 5:6

(B) 25:36

(C) 6:5

(D) 36:25

**7. The denominator of a fraction is greater than its numerator by 11. If 8 is added to both its numerator and denominator, then it becomes ¾. The fraction is**

(A) 25/26

(B) 35/26

(C) 26/35

(D)25/36

**8. If the value of 1/n^2 + 1/x^2, where x= 2+√3 and y = 2-√3, is**

(A) 12

(B) 16

(C) 14

(D) 10

**9. If the volume of a sphere is divided by its surface area, we obtain 27 cm. The radius of the sphere is**

(A) 9 cm.

(B ) 81 cm.

(C) 27 cm.

(D) 24 cm.

**10. One-third of one fourth of a number is 12. Then the number is**

(A) 96

(B) 144

(C) 108

(D) 36

**11. In the number series 4,10,23,50,104,216,439 the wrong number is**

(A) 10

(B) 23

(C) 104

(D) 50

**12. The price of 2 trousers and 4 shirts is Rs. 1,600. With the same amount one can buy 1 trouser and 6 shirts. If one wants to buy 12 shirts, he has to pay**

(A) Rs. 2400

(B) Rs. 4800

(C) Rs. 1200

(D) Rs. 3700

**13. If x=(3/2)2 (2/3)-4, then the value of x-2 is**

(A) (2/3)12

(B) (3/2)12

(C) (6/5)-12

(D) (5/6)-12

**14. A dealer buys an article for Rs. 380.00. What price should he mark so that after allowing a discount of 5% he still makes a profit of 25% on the article?**

(A) Rs. 500

(B) Rs. 475

(C) Rs. 95

(D) Rs. 465

**15. In a factory, the production of scooters rose to 48400 from 40000 in 2 years. The rate of growth per annum is**

(A) 20%

(B) 10%

(C) 30%

(D) 8%

**16. If x + 1/x = 3, then x2 + 1/x2 will be**

(A) 9

(B) 10

(C) 27

(D) 7

**17. When 16×4+12×3-10×2+8x+20 is divided by 4x-3, the quotient and the remainder are, respectively**

(A) 4x3 + 6x2 + 2x and 61/2

(B) 4x3 + 6x2 + 7/2 and 51/2

(C) 6x2 + 2x + 2/7 and 61/2

(D) 4x3 + 6x2 + 2x + 7/2 and 61/2

**18. The sum of two numbers is 2490. If 6.5% of one number is equal to 8.5% of the other, the numbers are**

(A) 1411 and 1079

(B) 1412 and 1080

(C) 1141 and 1709

(D) 1214 and 1800

**19. 120 men had food provision for 200 days. After 5 days, 30 men died of an epidemic. The food will last for further**

(A) 280 days

(B) 260 days

(C) 290 days

(D) 252 days

**20. Out of the total income, X spends 20% on house rent and 70% of the remaining amount on household expenditure. If X saves Rs. 1800, the total income is**

(A) Rs. 8000

(B) Rs. 9500

(C) Rs. 7500

(D) Rs. 8500