Hello Aspirants. Welcome to Online Quantitative Aptitude section in AffairsCloud.com. Here we are creating question sample From**DATA SUFFICIENCY** topic, which is common for all the IBPS,SBI exam RBI,,SSC and other competitive exams. We have included Some questions that are repeatedly asked in exams !!!

**Directions (1-10): **

** (A) ** If the data in statement I alone is sufficient to answer the question.

** (B) ** If the data in statement II alone is sufficient to answer the question.

** (C) ** If the data either in statement I alone or statement II alone are sufficient to answer the question.

** (D) ** If the data given in both I and II together are not sufficient to answer the question.

** (E) **If the data in both the statements I and II together are necessary to answer the question.

**What is the two digit number?**

I. The difference between the digits of the number is 4.

II. The number obtained by interchanging the digits of original number is less than the original number by 36.

###### Answer & Explanation

**(D) If the data given in both I and II together are not sufficient to answer the question.**

Explanation:

Let number is 10x+y

From I: x – y = 4 or y – x = 4

From II: 10y+x = 10x+y – 36

So 9y – 9x = 36 gives y – x = 4

Since we get same equations in both statements, so neither nor

**What is the rate of interest per annum?**

I. At the end of 2 years, the difference between CI and SI at same rate is Rs 46.20

II. The amount becomes four times in 20 years.

###### Answer & Explanation

**(D) If the data given in both I and II together are not sufficient to answer the question.**

Explanation:

From I: Pr^{2}/100^{2}= 46.20

We don’t have P, so r cannot be calculated.

From II: Since we are not given, that the amount is 4 times at SI or CI, r cannot be determined.

**In how many days, 12 men and 8 women will complete the work?**

I. 5 women can complete the work in 2 days.

II. 1 women and 10 men can complete the work in 5 days.

###### Answer & Explanation

**(E) If the data in both the statements I and II together are necessary to answer the question.**

Explanation:

From I: 5 women in 2 days or 10 w in 1 day.

From II: 1 w + 10 m in 5 days or 5 w + 50 m = 1 day

From both:

10 w = 5 w + 50 m

5w = 50 m, 1 w = 10 m

Now since we got relationship between men and women, 12 m + 8 w can be find out.

**What is the speed of the train?**

I. Length of train is 200 m.

II. Train crosses a platform of equal length in 20 seconds.

###### Answer & Explanation

**(E) If the data in both the statements I and II together are necessary to answer the question.**

Explanation:

From I: length of train = 200m

From II: length of platform is 200m, and t = 20 seconds

So from both, speed = (200+200)/20 = 20 m/s

**What is the area of square?**

I. The length of diagonal is 24 m.

II. The perimeter of square is 240 m.

###### Answer & Explanation

**(C) If the data either in statement I alone or statement II alone are sufficient to answer the question.**

Explanation:

From I: 1/2(d)^{2}= area, and d given

From II: 4a = 240, a = 60, so area = a^{2}

**What is the percent profit earned?**

I. The article is sold at 20% discount.

II. If there was no discount given, the profit would have been 40%.

###### Answer & Explanation

**(E) If the data in both the statements I and II together are necessary to answer the question.**

Explanation:

From I: SP = (80/100)*MP

From II: When no discount given, SP = MP, so CP = (100/140)*SP or (100/140)*MP

From both I and II, profit% =[ [(80/100)MP – (100/140)MP] / (100/140)*MP ] * 100

**A, B, and C invested in the ratio 2 : 3 : 4 in a business for 3 years. What is the amount received by B in the total profit?**

I. The average amount earned per year is Rs 10,500

II. The total profit at the end of 3 years is 2/5th of total investment.

###### Answer & Explanation

**(A) If the data in statement I alone is sufficient to answer the question.**

Explanation:

From I: Average amount for 3 years is 10500, so total profit = 3*10,500 = Rs 31,500, so B’s share = [3/(2+3+4)] *31500

From II: since we don’t know the total investment, profit cannot be found.

**In how many days A and B together complete a work?**

I. If A works alone for 10 days and B alone for 15 days, the work gets completed.

E) A can complete the work in 14 days.

###### Answer & Explanation

Explanation:

From I: (1/A)*10 + (1/B)*15 = 1

From II: (1/A) = 1/14

From both, answer can be found.**In how many years, the sum of money will become 4 times at simple interest?**

I. The sum gets double in 5 years.

II. The interest earned in 3 years is 1/3rd of the sum.

###### Answer & Explanation

**(C) If the data either in statement I alone or statement II alone are sufficient to answer the question.**

Explanation:

From I: Sum doubles in 5 yrs, so I = P, so

P = P*r*5/100, so r = 100/5 = 20%

So for amount 3 times:

2P = P*20*t/100, t can be found out.

From II: (1/3)*P = P*r*3/100, so r = 100/3%

So for amount 3 times:

2P = P*(100/3)*t/100, t can be found out.

**How many marks does A got in Math?**

I. The average marks obtained in 4 subjects is 62.

II. The sum of marks in English and Science is 172.

###### Answer & Explanation

**(d) If the data given in both I and II together are not sufficient to answer the question.**

Explanation:

From I: Total marks obtained = 4*62 = 248

From II: E + S = 172

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