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**Q1. How many 3 digit numbers which are divisible by 5, with no repetition of digits can be formed by using the digits 0, 2, 4, 5, 7 and 8?**

(a) 24

(b) 20

(c) 16

(d) 36

(e) None of these

**Q2. In a bag there are three color balls black, brown and blue. Number of balls of black color is 6 more than no. of balls of brown color. If one ball is drawn from the bag then probability of getting blue is 3/11. Find the no. of black color ball if possibility of getting black ball is 5/11.**

(a) 12

(b) 6

(c) 10

(d) 5

(e) 15

**Q3. Three shooter having probability of shot a target**

**13, 25**

**and**

**37**

**respectively. What is the probability that exactly one of them did not hit the target?**

(a) 12/35

(b) 29/105

(c) 19/35

(d) 41/105

(e) 1/5

**Q4. A box contains 2 blue balls, 4 red balls, 5 green balls and 1 yellow balls. If two balls are picked at random, what is the probability that at most 1 ball is blue?**

(a) 1/6

(b) 1/10

(c) 1/12

(d) 34/45

(e) 65/66

**Q5. Two boxes contain 4 and 16 balls respectively. Two balls in the first box and four in the second box are black. If a box is chosen randomly and two balls are drawn at random from it, what is the probability that at least one ball is black ?**

(a) 11/20

(b) 43/120

(c) 77/120

(d) 9/20

(e) 7/23

**Q6. A milkman pays Rs. 6.4 per liter of milk. He added water and sells the mixture at Rs. 8 per liter, and making 37.5% profit. Find the ratio of the water to that of milk received by customers ?**

(a) 10:1

(b) 1:10

(c) 11:1

(d) 10:7

(e) 10:3

**Q7.**

**Q8.**

**Q9. In two alloys A and B the ratio of tin to zinc is 3 : 5 and 4 : 7 respectively. 16 kg of alloy A and 22 kg of alloy B are mixed together to form a new alloy. What will be the ratio of zinc to tin in the new alloy.**

(a) 12:23

(b) 12:7

(c) 2:1

(d) 8:11

(e) 13:11

**Q10. Two Beaker A and B having mixture of milk and water in ratio of 3 : 2 and 2 : 3 respectively. 20 liter of mixture is taken out from A and mix in beaker B, due to which new ratio of milk and water in B becomes 11 : 14 and volume of beaker B become equal to initial volume of A. Now, ‘x’ liter mixture is taken out from B and mix in A and ratio of milk and water become 7 : 6 in beaker A. Find the value of ‘x’.**

(a) 20

(b) 25

(c) 50

(d) 30

(e) 40

**Solutions**

S1. Ans.(d)

Sol.

A number is divisible by 5 if
the unit digit of the number is either 0 or 5. Number of 3 digit numbers with
no repetition of digits formed by using the digits 0, 2, 4, 5, 7 and 8:

With 0 as unit digit = 5 × 4 ×
1 = 20

With 5 as unit digit = 4 × 4 ×
1 = 16 (∵ 0 cannot occupy hundred’s place)

Hence, total numbers = 20 + 16
= 36

S2. Ans.(e)

Sol.

Probability of getting blue and
black ball 3/11 and 5/11 respectively.

Let total ball → 11y

Blue balls → 3y

Black balls → 5y

Brown balls → 3y

ATQ,

5y – 3y = 6

y = 3

Black balls → 15

S3. Ans.(b)

S4. Ans.(e)

S5. Ans.(c)

S6. Ans.(c)

Sol.

S7. Ans.(c)

Sol.

S8. Ans.(c)

Sol.

S9. Ans.(c)

Sol.

S10. Ans.(c)

Sol.