# (Paper) CLAT UG Question Paper 2015 : Elementary Mathematics (Numerical Ability)

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## (Paper) Previous Year Question Paper (BA LLB) - 2015

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

**1. If n2= 12345678987654321, what is n?**

(a) 12344321

(b) 1235789

(c) 111111111

(d) 11111111

**2. What are the last two ditits of 72008?**

(a) 01

(b) 21

(c) 61

(d) 71

**3. What is the value of (x) in the following equation?**

**x0.4/16=32/x2.6**

(a) 8

(b) 9

(c) 6

(d) 7

**4. In a tournament here are n teams T1, T2……Tn with n>5. Each team consists of k players, k>3. The following pairs of team have one player in common T1 and T2 and T3….., Tn-1 and Tn and Tn2nd T1- No other pair of teams has any player in common. How many players are participating in the tournament, considering all the n team together?**

(a) K (n-1)

(b) N (k-20)

(c) K (n-2)

(d) N (K-1)

**5. A man has 9 friends: 4 boys and 5 girls, In how many ways can he invite them, if there have to be exactly 3 girls in the invitees?**

(a) 320

(b) 160

(c) 80

(d) 200

**6. A speaks truth in 75% cases and B in 80% cases, In what percentage of cases are the likely to contradict eact other, narrating same incident?**

(a) 5%

(b) 15%

(c) 35%

(d) 45%

**7. A die is rolled twice. what is the probability that the sum of the number on the two of the faces is 5?**

(a) 3/13

(b) 4/13

(c) 6/13

(d) 1/9

**8. The simplified value of [(0.111)3 + (0.222)3 – (0.333)3**

(a) 0.999

(b) 0.111

(c) 0

(d) 0.888

**9. Along a road lie an odd number of stones placed at intervals of 10 m. These stones have to be assembled around the middle stone. A person can carry only one stone at a time. A man carried out the job starting with the store in the middle, carrying stones in succession, there by covering a distance of 4.8 km. Then, the number of stone is:**

(a) 35

(b) 15

(c) 31

(d) 29

**10. A group of 360 children is arranged in rows for a group photograph session. Each row contains three fewer children that the row in front of it. What number of rows is not possible?**

(a) 3

(b) 4

(c) 5

(d) 6

**11. If X=(163 + 173 + 183 + 193), then x divided by 70 leaves a remainder of….**

(a) 0

(b) 1

(c) 69

(d) 35

**12. When 2 1/2 is added to a number and the sum is multiplied by 4 1/2 and then 3 is added to the product and then the sum is divided by1 1/5, the quotient becomes 25, what is the number?**

(a) 2 1/2

(b) 3 1/2

(c) 4 1/2

(d) 5 1/2

**13. The sum of all the natural numbers from 200 to 600 (both inclusive) which are neither divisible by 8 nor by 12 is:**

(a) 1, 23, 968

(b) 1, 3, 068

(c) 1, 33, 268

(d) 1, 87, 332

**14. A watch which gains uniformly is 2 minutes slow at noon on Monday and is 4 minute 48 seconds fast at 2 pm on the following Monday. When was it correct?**

(a) 2 p.m. on Tuesday

(b) 2 p.m. on Wednesday

(c) 3 p.m. on Thursday

(d) 1 p.m. on Friday

**15. Two trains, one from Howrah to Patna and other from Patna to Howrah, Start simultaneously. After they meet, the trains reach their destinations after 9 hours respectively. The ratio of their speed is….**

(a) 2:03

(b) 4:03

(c) 6:07

(d) 9:06

**Director for the question: Answer the questions based on the information given in the following table, A, B, C, D, E denotes companies and 2006, 2007, 2008, 2009 and 2010 denote years.**

**Number of units Manufactured (m) and Number of units Sold (s) (in hundreds) by five different companies over the year.**

**16. What is the respective ratio of total number of units manufactured by Company A and B together in the year 2009 to those sold by them in the same year?**

(a) 2:01

(b) 3:02

(c) 5:02

(d) None of the above

**17. What is the total number of units manufactured by Company C over all the years together?**

(a) 1420

(b) 1030

(c) 1230

(d) 1320

**18. The number of units sold by company D in the year 2006 is what percent of the number of units manufactured by it in that year? (Rounded off to two digits decimal)**

(a) 52.63

(b) 61.57

(c) 85.15

(d) 73.33

**19. What is the average number of units sold by company D over all the years together?**

(a) 166

(b) 158

(c) 136

(d) 147

**20. What is the approximate percent increase in the number of units sold by company E in the year 2007 from the previous year?**

(a) 17

(b) 36

(c) 27

(d) 21