**Q1. A and B are two alloys which were made by mixing iron and copper in the ratio of 3 : 5 and 5 : 9 respectively. If 60 grams of alloy A and X grams of alloy B are melted and mixed to form another alloy C, what is the value of X if the ratio of iron and copper in the new alloy is 35 : 61 ?**

(a) 70 gms

(b) 56 gms

(c) 98 gms

(d) 84 gms

(e) 112 gms

**Q2. In a class there are two sections i.e. A and B. 25% of the students in section A and of the students in section B are girls. If two students are chosen at random one each from section A and section B as class representative then find the probability that there will be exactly one boy out of chosen two students?**

(a) 17/36

(b) 13/36

(c) 1/2

(d) 7/18

(e) 4/9

**Q3. Ravi and Sneha got married 10 years ago and at that time ratio of their ages was 5:4. Ratio of present age of Ravi and Sneha is 7:6. After marriage they had seven children including a triplet and a twin. The ratio of present age of triplet, twin, sixth and the seventh child is 4:3:2:1. Find the largest possible value of the present total age of the family.**

(a) 121

(b) 107

(c) 101

(d) 93

(e) None of the above

**Q4. Shivam invested Rs 3 lac in a scheme which is providing interest rate of ‘r’% per annum at CI and this scheme doubles the sum invested in 72/r years which is two times of rate of interest provided by the scheme. Find the total amount received by Shivam at the end of 48 years (in lac)?**

(a) 45

(b) 50

(c) 64

(d) 32

(e) 48

**Q5. Marked price of two articles A and B is in the ratio of 3:4. Shopkeeper sold article A and article B at the discount of x % and (x+8)% respectively. Shopkeeper made a profit of 20% on selling article B and found that its cost price is equal to selling price of article A. Find the marked of article B when article A is sold for Rs 972 at two successive discounts of x/2% and 2x%?**

(a) Rs 1800

(b) Rs 2000

(c) None of the above

(d) Rs 1600

(e) Rs 2800

**Directions (6-10): Bar graph shows total number of students (Medical and Non-medical) in section A and section B in 4 different years. Table has 3 columns, first shows year, column second mention the ratio of student having medical side to that of non-medical side. Column III shows percentage of Medical students in section A, out of total medical students.**

**Q6. Calculate the percentage of medical student from section B out of total medical students in year 2012. **

(a) 0%

(b) 25%

(c) 40%

(d) 50%

(e) None of these

**Q7. What is the ratio of medical student of section B to non-medical student of section A of year 2014. **

(a) 1 : 1

(b) 2 : 3

(c) 5 : 3

(d) 3 : 2

(e) 2 : 5

**Q8. What is the ratio of total number of medical students to total number of non medical students of all these years together? **

(a) 145 : 101

(b) 29 : 21

(c) 7 : 5

(d) 4 : 3

(e) None of these

**Q9. In year 2013, 10% of those who have medical, qualified PMT & 25% of those who have non-medical qualified JEE, then calculate total percentage of students who either qualified JEE or PMT in year 2013. **

(a) 54%

(b) 18%

(c) 20%

(d) 16%

(e) 44%

**Q10. What is the % of non-medical students of section B with respect to total students of section B in year 2015. **

(a) 21%

(b) 16%

(c) 13%

(d) 17%

(e) 19%

**Directions (11-15): What approximate value should come in place of question mark (?)in the following questions?**

**Q11. 44.04 ÷ 3.97 × 7.49 ÷ 2.54 + 3 = √?**

(a) 6

(b) 36

(c) 24

(d) 1296

(e) 216

**Q12. **

(a) 7

(b) 14

(c) 49

(d) 98

(e) 196

**Q13. **

(a) 256

(b) 128

(c) 512

(d) 1024

(e) 1296

**Q14. **

(a) 1040

(b) 1600

(c) 400

(d) 800

(e) 1200

**Q15. (9.01)³ + (7.94)³ + 5.12 × 17.95 = x³**

(a) 11

(b) 15

(c) 13

(d) 10

(e) 14

**Solutions**