**Dear students,**

**Directions (1-5): What should come in place of question mark (?) in following simplification problems?**

**Q3. 0.009 + 0.001 ÷ 10 + 0.003 = ? **

(a) 0.0121

(b) 0.00121

(c) 0.121

(d) 0.0123

(e) 1.0123

**Q4. 48% of 950 – 46% of 840 = ? **

(a) 75

(b) 72

(c) 65.6

(d) 70.5

(e) 69.6

**Q6. The cost of 8 pens and 4 pencils is Rs. 176 and the cost of 2 pens and 2 pencils is Rs. 48. What is the cost of one pen?**

(a)Rs. 16

(b)Rs. 14

(c)Rs. 12

(d)Rs. 18

(e) Rs. 20

**Q7. In how many different ways can the letters of the word ‘TOTAL’ be arranged?**

(a) 120

(b) 60

(c) 48

(d) 72

(e) 84

**Q8. If the area of a circle is 616 〖cm〗^2, what is its perimeter? **

(a) 76 cm

(b) 88 cm

(c) 96 cm

(d) 80 cm

(e) 68 cm

**Q9. There is a mixture of alcohol and water of 120 litre. The ratio of alcohol to water is 5 : 3. If 30% of mixture is taken out and same amount of water is added in the remaining mixture, then find the new ratio of alcohol and water in the mixture. **

(a) 7:3

(b) 5:8

(c) 7:9

(d)11:4

(e) 4:7

**Q10. The ratio of milk and water in mixture of 90 litre is 7 : 2. If some amount of mixture is replaced by water, then ratio of milk to water becomes 5 : 2. Find the quantity of water added to the mixture.**

(a) 6 litre

(b) 8 litre

(c) 12 litre

(d) 10 (17/49) litre

(e) 7 (17/49) litre

**Directions (11-15): Study the following graph carefully to answer the questions that follow: **

**Q11. The number of girls from Biology department is approximately what percent of the total number of girls from all the departments together? **

(a) 32

(b) 21

(c) 37

(d) 43

(e) 27

**Q12. What is the difference between the total number of boys and the total number of girls from all the departments together? **

(a) 440

(b) 520

(c) 580

(d) 460

(e) 480

**Q13. What is the average number of boys from all the departments together? **

(a) 122

(b) 126

(c) 130

(d) 134

(e) 184

**Q14. The number of boys from Anthropology department is approximately what per cent of the total number of boys from all the departments together? **

(a) 15

(b) 23

(c) 31

(d) 44

(e) 56

**Q15. What is the respective ratio of number of girls from Philosophy department to the number of girls from Psychology department? **

(a) 1 : 2

(b) 7 : 12

(c) 5 : 12

(d) 3 : 4

(e) 5: 7

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