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Dear Aspirants,

Numerical Ability or Quantitative Aptitude Section is very important to get the best score in Banking and other competitive exams. Now a day, the questions asked in this section are calculative and time-consuming. Once dealt with proper strategy, speed, and accuracy, this section will definitely award you the maximum marks in the examination. Here is another set of Questions to improve your speed and practice. Make most of it.

**Directions (Q. 1-5): In each of the following questions you have to find out which of the following statements is/are sufficient to answer the given questions. Give appropriate answers according to the options.**

**1.** What is the principal amount?

**Statement I:** The simple interest obtained on the principal after 2 years at 8% rate of interest is ₹450 less than the compound interest obtained on the principal after 2 years at 8% pa.

**Statement II:** The sum becomes double in 10 years at 6% pa rate of simple interest.

**Statement III:** The compound interest obtained on the principal is ₹4540 after 2 years at the rate of 8% compounded annually.

1) Only I

2) All I, II and III together

3) II and III together

4) Only I or III

5) I or II or III

**2.** What is the speed of a boat in still water?

**Statement I:** The boat can cover 12 km downstream distance in 2 hours.

**Statement II:** The speed of the stream is three-fourths the speed of the boat in still water.

**Statement III:** The boat can cover 12 km upstream in 4 hours.

1) I and III together

2) Only II

3) I and II together

4) I and either II or III

5) Any of the two statements

**3.** A person borrowed a certain sum of money at compound interest for 2 years. What will be the amount required to be returned after 2 years?

**Statement I:** If the amount was borrowed at simple interest, then after 5 years ₹600 was required to be paid as simple interest.

**Statement II:** The rate of interest is 6% per annum.

**Statement III:** The sum of money borrowed is 10 times the amount required to be paid as simple interest after 2 years.

1) II and I or III

2) II and III together

3) I and III together

4) All statements are not sufficient to answer the question

5) All I, II and III

**4.** A shopkeeper gained how much by selling his products in November 2016?

**Statement I:** He earned 40% more profit in December 2016 as compared to October 2016.

**Statement II:** In December 2016 he earned 10% more profit than in November 2016.

**Statement III:** The total profit earned in November 2016 and October 2016 was ₹ 55,000.

1) Only I and III

2) Only II and III

3) Only I and II

4) All I, II and III

5) All statements are not sufficient to answer the question

**5.** In how many days can 6 men and 5 women do a piece of work working together?

**Statement I:** The ratio of efficiency of a man to that of a woman is 2 :1.

**Statement II:** 9 women can complete three-fifths of the work in 15 days.

**Statement III:** 6 men and a child together can complete ^{1}/_{4} of a work in 12 days while 6 women and a child together can complete two-thirds of the work in 16 days.

1) I and either II or III

2) Any of the three statements

3) Only I and II

4) All I, II and III

5) None of these

**Directions (Q. 6-9): Study the following information carefully and answer the given questions accordingly. Give answer**

1) if the data in statement **I alone** are sufficient to answer the question, while the data in statement II alone are not sufficient to answer the question.

2) if the data in statement **II alone** are sufficient to answer the question, while the data in statement I alone are not sufficient to answer the question.

3) if the data **either** in statement I alone **or** in statement II alone are sufficient to answer the question.

4) if the data in **both** the statements I and II together are **not sufficient** to answer the question.

5) if the data in **both** the statements I and II **together** are necessary to answer the question.

**6.** If ‘X’ litres was removed from a jar containing a mixture of milk and water in the ratio of 4 : 1 respectively, what is the value of X?

**I.** After removing ‘X’ litres of mixture from the jar, 16 litres of water was added to the jar and the ratio of milk to water (in the jar) became 2 : 1.

**II.** ‘X’ litres of the mixture constituted 20% of the original quantity of mixture in the jar.

**7.** If the average of 3 positive integers A, B and C is 92, what is the value of A?

**I.** C – B = 36

**II.** (C + X) – (X – B) = 132

**8.** If Ram’s mother is 5 years younger than his father, what is the ratio of Ram’s age 4 years hence to his father’s age 12 years ago?

**I.** Seven years ago, Ram’s father was 55 years old.

**II.** The ratio of Ram’s age 3 years hence to his mother’s age 3 years hence will be 2 : 5.

**9.** A, B and C start a business with initial investments in the ratio of 3 : 4 : 2. Four months after the start of the business, B halves his investment. What was C’s investment?

**I.** The difference between B’s and C’s share of the annual profit was ₹600.

**II.** The ratio of the annual investments by A, B and C was 9 : 8 : 6.

**Solutions:**

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