**Directions (1-3): The following questions are accompanied by two statements I and II. You have to determine which statements(s) is/are sufficient/necessary to answer the questions.**

**Q1. Find difference between magnitude of twice of area and square of sum of length and breadth of the rectangle if its perimeter is equal to the perimeter of a square having area 3136 m ^{2}.**

I. Breadth of the rectangle is 25% less than the length of the rectangle.

II. Side of the square is 8m more than 60% of the sum of the diagonals of the rectangle.

(a) Statement I alone is sufficient to answer the question but statement II alone is not sufficient to answer the questions.

(b) Statement II alone is sufficient to answer the question but statement I alone is not sufficient to answer the question.

(c) Both the statements taken together are necessary to answer the questions, but neither of the statements alone is sufficient to answer the question.

(d) Either statement I or statement II by itself is sufficient to answer the question.

(e) Statements I and II taken together are not sufficient to answer the question.

**Q2. Find the two-digit number? **

I. Sum of the digits of the number is 25% of the number.

II. Thrice of the number is 30 more than the number obtained on interchanging the digits.

(a) Statement I alone is sufficient to answer the question but statement II alone is not sufficient to answer the questions.

(b) Statement II alone is sufficient to answer the question but statement I alone is not sufficient to answer the question.

(c) Both the statements taken together are necessary to answer the questions, but neither of the statements alone is sufficient to answer the question.

(d) Either statement I or statement II by itself is sufficient to answer the question.

(e) Statements I and II taken together are not sufficient to answer the question.

**Q3. What is the selling price of an article if the ratio of marked price to that of the cost price of the article is 8: 5? **

I. On article, first discount of 20% and then discount of 10% is given and difference between these discounts is Rs 192.

II. Difference between marked price and the cost price of that article is Rs 600 and the profit percent earned on selling the article is 15.2%.

(a) Statement I alone is sufficient to answer the question but statement II alone is not sufficient to answer the questions.

(b) Statement II alone is sufficient to answer the question but statement I alone is not sufficient to answer the question.

(c) Both the statements taken together are necessary to answer the questions, but neither of the statements alone is sufficient to answer the question.

(d) Either statement I or statement II by itself is sufficient to answer the question.

(e) Statements I and II taken together are not sufficient to answer the question.

**Q4. Veer has four boxes and each box contains five chocolates i.e. three dairy milks and two perks. If Veer decided to choose a chocolate from each of the box, then what is the probability of getting at most a dairy milk chocolate? **

(a) 116/625

(b) 112/625

(c) 124/625

(d) 128/625

(e) 136/625

**Q5. The average age of group of 9 students is ‘a’ year. If three students of 12 years, 15 years and 18 years leave the group and two new persons of 17 years and 12 years join the group, then the average age of the group again becomes ‘a’ year. Find the value of ‘a’?**

(a) 16 years

(b) 15 years

(c) 14 years

(d) 18 years

(e) None of these

**Q6. In a village, number of unhealthy children is 20% less than the number of healthy children. In the next year, due to flood, number of unhealthy children increases by 45% and again in the next year it shows improvement by 15%. If in each of these two years, total number of children remains the same then find the approximate percentage increase in the final number of healthy children over that of in immediate previous year?**

(a) 30%

(b) 32%

(c) 27%

(d) 29%

(e) 25%

**Q8. Ratio of the marked price to the cost price of the article is 7: 5. If the discount percent given is increased from 7.5% to 20%, the profit decrease by Rs 1750. Find the profit when successive discounts of 12% and 15% are given? (in Rs)**

(a) 462

(b) 482

(c) 492

(d) 472

(e) 452

**Q9. A train driver leaves Gorakhpur at 6: 30 am and expects to reach at a place 600 km from Gorakhpur at 2: 30 pm. At 12:30 pm he finds that he has covered only 40% of the distance. By how much he has to increase the speed of the train in order to reach at scheduled time? **

(a) 180 km/hr

(b) 120 km/hr

(c) 150 km/hr

(d) 100 km/hr

(e) 140 Km/hr

**Q10. A spherical toy of radius 12 cm is melted and re-casted into a number of small cylindrical and conical toys in the ratio of 2:3. Ratio of height of cone to that of cylinder is 2:3 and the ratio of radius of cone to the radius of cylinder is √3 : 1. Find the difference between number of cylindrical and conical toys if radius and height of cylinder is 4 cm and 6 cm respectively? **

(a) 2

(b) 3

(c) 5

(d) 4

(e) 6

**Solutions**