**Directions (1 – 5): Given below in each question there are two statements (I) and (II). You must determine; which statement is enough to give the answer of question. Also, there are five alternatives given, you have to choose one alternative as your answer of the questions:**

**Q1. What is area of the rectangle.**

I. Length is 50% more than breadth.

II. Perimeter of square is 48 cm and breadth of rectangle is equal to side of square.

(a) only statement I

(b) Only statement II

(c) Both I and II together

(d) Either I or II alone

(e) Both statements together are not sufficient

**Q2. What is age of Rahul after 2 years.**

I. Average age of Arun and Neeraj is 24 years and ratio of age of Rahul to Arun is 2 : 3.

II. Neeraj is 4 years elder than Satish and ratio of age of Satish to Rahul is 1 : 2

(a) only statement I

(b) Only statement II

(c) Both I and II together

(d) Both statements together are not sufficient

(e) Either I or II alone

**Q3. What is the speed of boat in still water when the upstream speed of boat is equal to the speed of stream?**

I. Time required to cover certain distance upstream is 24 sec.

II. Time required to cover certain distance downstream is 8 sec.

(a) only statement I

(b) Only statement II

(c) Both I and II together

(d) Both together are not sufficient

(e) Either I or II alone

**Q4. Find out the length of train X given that speed of train X is 20 m/sec.**

I. Train X crosses another train Y moving in opposite direction in 6 sec and the speed of train Y is 50% more than the speed of train X.

II. Length of train Y is 50% less than length of train X.

(a) Both I and II together

(b) Only statement I

(c) Only statement II

(d) Both I and II together are not sufficient

(e) Either I or II alone

**Q5. What is the total strength of company Adda247.**

I. Ratio of male to female employees are 1 : 2

II. Total females are 280 and males are 50% of female.

(a) Both I and II together

(b) Only statement I

(c) Only statement II

(d) Both I and II together are not sufficient

(e) Either I or II alone

**Directions (6-15): In the following questions two quantities are given for each question.**

Compare the numeric value of both the quantities and answers accordingly.

**Q6.Quantity I: x² – 6x + 8 = 0**

**Quantity II: y² + 2y – 8 = 0**

(a) Quantity I > Quantity II

(b) Quantity I < Quantity II

(c) Quantity I ≥ Quantity II

(d) Quantity I ≤ Quantity II

(e) Quantity I = Quantity II or No relation

**Q7. A man invested Rs. 8000 in scheme A for 4 years at Simple Interest which offers interest rate of 20% p.a and Rs. 7200 in scheme B for 3 years which offers 25% p.a at Simple interest.**

**Quantity I: Interest earned from scheme A**

**Quantity II Sum of interest earned from scheme ‘B’ and Rs. 640**

(a) Quantity I > Quantity II

(b) Quantity I < Quantity II

(c) Quantity I ≥ Quantity II

(d) Quantity I ≤ Quantity II

(e) Quantity I = Quantity II or No relation

**Q8. Sum of speed of boat in downstream and in upstream is 24 km/hr while speed of boat in still water is 200% more than speed of stream.**

**Quantity I: Time taken to cover 96km downstream**

**Quantity II: Time taken to cover 60km upstream**

(a) Quantity I > Quantity II

(b) Quantity I ≤ Quantity II

(c) Quantity I ≥ Quantity II

(d) Quantity I = Quantity II or No relation

(e) Quantity I < Quantity II

**Q9. Quantity I : Find the principal if the compound interest is charged on principal at the rate of 16⅔% per annum for two years and the sum becomes Rs 245.**

**Quantity II : A sum of Rs 500 amounts to Rs 620 in 4 yrs at simple interest. What will Rs 150 amount to if the rate of interest is same and time period is 2½ yrs.**

(a) Quantity I > Quantity II

(b) Quantity II > Quantity I

(c) Quantity I >= Quantity II

(d) Quantity II >= Quantity I

(e) Quantity I = Quantity II or relation can’t be established

**Q10.Quantity I: x² – 5x + 4 = 0**

**Quantity II: y² + 3y + 2 = 0**

(a) Quantity I > Quantity II

(b) Quantity I < Quantity II

(c) Quantity I ≥ Quantity II

(d) Quantity I ≤ Quantity II

(e) Quantity I = Quantity II or No relation

**Q11. (X – 4) men can complete a work in 5 day while (X + 5) men can complete the same work in 4 days. (Y – 15) women can complete a work in 6 days while (Y + 15) women can complete the same work in 3 days. **

**Quantity I: Value of ‘X’**

**Quantity II: Value of ‘Y’**

(a) Quantity I > Quantity II

(b) Quantity I < Quantity II

(c) Quantity I ≥ Quantity II

(d) Quantity I ≤ Quantity II

(e) Quantity I = Quantity II or No relation

**Q12. A and B starting a business together. B invested 60% more than that of A. Ratio of time period of investment of A and B is 8 : 9. **

**Quantity I: A’s share of profit out of total profit of Rs. 25,200. **

**Quantity II; B’s share of profit out of total profit of Rs. 14,000.**

(a) Quantity I > Quantity II

(b) Quantity I < Quantity II

(c) Quantity I ≥ Quantity II

(d) Quantity I ≤ Quantity II

(e) Quantity I = Quantity II or No relation

**Q13. Rs. ‘2X’ is invested half in scheme ‘A’ which offers 20% p.a. at S.I. while half in scheme ‘B’ which offer 10% p.a. at C.I. Total interest earned after 2 years is Rs. 4880.**

**Quantity I: Rs. (X + 2000) **

**Quantity II: 1.25X**

(a) Quantity I > Quantity II

(b) Quantity I < Quantity II

(c) Quantity I ≥ Quantity II

(d) Quantity I ≤ Quantity II

(e) Quantity I = Quantity II or No relation

**Solutions**

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