**Q1. Two dice are thrown simultaneously. Find the probability of getting a sum of two numbers greater than 6. **

(a) 3/4

(b) 23/36

(c) 5/12

(d) 7/12

(e) 11/36

**Q2. An ice cube of side 10 m is melted and re-casted into a cuboid having length and breadth are 8m and 5 m respectively. Find the percentage of difference between total surface area of cube and cuboid. **

(a) 25(2/3) %

(b) 23(2/3) %

(c) 21(2/3) %

(d) 26 %

(e) None of these

**Q3. A man have two dice, if he rolled both dice, then find the probability that sum of digits will be 5 or 7 ? **

(a) 1/18

(b) 1/12

(c) 5/9

(d) 5/18

(e) 7/18

**Q4. Two dice are thrown simultaneously. What is the probability of getting sum of numbers obtained on two dice divisible by 4?**

(a) 4/9

(b) 1/18

(c) 1/9

(d) 1/6

(e) 1/4

**Q5. How many words can be formed with the letter of the word UNETHICAL such that all vowels come together? **

(a) 720

(b) 10!

(c) 5040

(d) 17280

(e) None of these

**Q6. The perimeter of 4 squares is 24 cm, 32 cm, 40 cm, 48 cm respectively. What will be the area of the square having perimeter equal to sum of edges of 4 squares? (in sq.cm.)**

(a) 64

(b) 81

(c) 100

(d) 121

(e) 144

**Q7. Two dice are thrown simultaneously. What is the probability of getting prime numbers on both and sum of numbers on both dice is not divisible by 2?**

(a) 1/12

(b) 1/18

(c) 1/9

(d) 1/6

(e) None of these

**Q8. How many 4 digit numbers can be made from digits 1,2,3,4,5,6,7 such that each no. is divisible by 2 and no digit repeats? **

(a) 720

(b) 120

(c) 480

(d) 360

(e) None of these

**Q9. Breadth of a rectangle is equal to diameter of circle of which circumference is 44 cm. if length of rectangle is 50% more than its breadth. Find area (in sq. cm.) of rectangle. **

(a) 292

(b) 296

(c) 294

(d) 298

(e) None of these

**Q10. Two squares are drawn on a same base but of different edge length. If difference of their area is 36 sq.cm. find the edge length of larger square if difference of their edge length is 3 cm.**

(a) 5.5 cm

(b) 7.5 cm

(c) 6.5 cm

(d) 4.5 cm

(e) 6 cm

**Q11. The perimeter of a square is double than the perimeter of a rectangle. The area of the rectangle is 36 sq.cm. what is the area of square?**

(a) 72 sq.cm

(b) 56 sq.cm

(c) 64 sq.cm

(d) can’t be determined

(e) 108 sq.cm

**Q12. In how many different ways can the letter of word ‘champion’ be arranged so that all the vowels come together? **

(a)4820

(b) 4320

(c) 4640

(d) 5280

(e)None of these

Q13. A storekeeper has 2 types of shirts i.e. 15 yellow and 10 blue. If he sold 3 shirts,

**what is the probability that these are either all yellow or all blue?**

(a)1/2

(b) 3/10

(c) 1/4

(d) 28/115

(e) 3/25

**Q14. How many ways are there to form a committee of 5 people from 5 boys and 4 girls such that number of boys will always be more than number of girls and atleast a boy & a girl should be there in the committee?**

(a) 60

(b) 80

(c) 100

(d) 85

(e) None of these

**Q15. The ratio of areas of two squares is 289 : 169. Find the ratio of their diagonals.**

(a) 19 : 15

(b) 15 : 13

(c) 17 : 15

(d) 17 : 13

(e) 13 : 11

**Solutions**

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