Data Sufficiency(Reasoning Aptitude ) Questions and answers for exam Preparation

Reasoning Aptitude

DATA SUFFICIENCY MCQs

Total Questions : 590 | Page 10 of 59 pages

Question 91.

What is the birthday of Sonali's mother ?

I. Sonali's father remembers that his wife's birthday is after 20th and before

23rd February.

II. Sonali's brother remembers that their mothers birthday was after 21st but

before 25th February.

The data in statement I alone are sufficient to answer the question
The data in statement II alone are sufficient to answer the question
The data either in I or II alone are sufficient to answer the question
The data even in both the statements together are not sufficient to answer the question.
The data in both the statements together are needed.

Discuss Question

Answer: Option E. -> The data in both the statements together are needed.

From I. we find that the birthday of Sonali s mother falls on 21st or 22nd February.

From II. we find that the birthday of Sonali's mother falls on 22nd. 23rd or 24th February.

The day common to the above two groups is 22nd February. So. the birthday falls

on 22nd February.

Thus, both I and II are required.

Question 92.

How many speeches were delivered in the two days' programme ?

I. 18 speakers were invited to give at least one speech, out of which one-sixth

of the speakers could not come.

II. One-third of the speakers gave two speeches each.

The data in statement I alone are sufficient to answer the question
The data in statement II alone are sufficient to answer the question
The data either in I or II alone are sufficient to answer the question
The data even in both the statements together are not sufficient to answer the question.
The data in both the statements together are needed.

Discuss Question

Answer: Option E. -> The data in both the statements together are needed.

From I, we find that number of speakers who attended programme =18-(1/6) of 18 = 15.

From II, we find that one-third of 15 i.e. 5 speakers gave 2 speeches each, while each of the

remaining 10 speakers delivered only one speech.

So, total number of speeches delivered = (5 x 2 + 10 x 1) = 20.

Question 93.

The following problems, there is one question and three statements I, II and III given below the question.

You have to decide whether the data given in the statements is sufficient to answer the question. Read

all the statements carefully and find which of the statements is/are sufficient to answer the given question.

Choose the correct alternative in each question.What is the total monthly salary of Vasu ?

Pankaj is younger than Sunita and Rupali is older than Tom. Who among them

is the oldest ?

I. Rupali is older than Pankaj.

II. Sunita is older than Rupali.

III. Tom is the youngest among all.

Discuss Question

Answer: Option A. -> Only II

Given : P < S, T < R ...(j)

From I, we have : P < R ...(ii)

From II. we have : R < S

From III, w e hav e : To m is the youngest. ...(iv)

From (i ) and (iii). we ge t : P < S, T < R < S.

Clearly, Sonali is the oldest.

So, only II is required.

Question 94.

What is the area of this plot ?

I. The perimeter of the plot is 208 metres.

II. The length is more than the breadth by 4 metres.

The data in statement I alone are sufficient to answer the question
The data in statement II alone are sufficient to answer the question
The data either in I or II alone are sufficient to answer the question
The data even in both the statements together are not sufficient to answer the question.
The data in both the statements together are needed.

Discuss Question

Answer: Option E. -> The data in both the statements together are needed.

The area of the plot can be determined from both I and II as follows :

Let the breadth of the plot be x metres.

Then, length = (x + 4) metres.

Thus, perimeter = 208 metres 2 (x + 4 + x) = 208

4x = 200, x = 50.

So. length =54 metres, breadth = 50 metres.

Area of the plot = (54 x 50) `m^2` = 2700 `m^2`.

Hence, both I and II are required.

Question 95.

On which day in January, Subhas left for Germany ?

I. Subhas has so far spent 10 years in Germany.

II. Subhas friend ^Vnil left for Germany on 15th February and joined Subhas

20 days after Subhas arrival.

The data in statement I alone are sufficient to answer the question
The data in statement II alone are sufficient to answer the question
The data either in I or II alone are sufficient to answer the question
The data even in both the statements together are not sufficient to answer the question.
The data in both the statements together are needed.

Discuss Question

Answer: Option D. -> The data even in both the statements together are not sufficient to answer the question.

Clearly, even from both the given statements, we cannot conclude the exact date of

Subhas leaving for Germany.

Question 96.

In which year was Rahul born ?

I. Rahul at present is 25 years younger to his mother.

II. Rahul's brother, who was born in 1964, is 35 years younger to his mother.

The data in statement I alone are sufficient to answer the question
The data in statement II alone are sufficient to answer the question
The data either in I or II alone are sufficient to answer the question
The data even in both the statements together are not sufficient to answer the question.
The data in both the statements together are needed.

Discuss Question

Answer: Option E. -> The data in both the statements together are needed.

From both the given statements, we find that Rahul is (35 - 25 ) = 10 years older

than his brother, who was born in 1964. "So, Rahul was born ifi 1954. Thus, both

the given statements are needed to answer the query.

Question 97.

What time did the train leave today ?

I. The train normally leaves on time.

II. The scheduled departure is at 14 : 30.

The data in statement I alone are sufficient to answer the question
The data in statement II alone are sufficient to answer the question
The data either in I or II alone are sufficient to answer the question
The data even in both the statements together are not sufficient to answer the question.
The data in both the statements together are needed.

Discuss Question

Answer: Option D. -> The data even in both the statements together are not sufficient to answer the question.

Clearly, even both the statements together do not reveal the exact time of departure

of the train today.

Question 98.

Total money with Naresh and Ajay is 28 percent of that with Usman. How much

money is Ajay having ?

I. Usman has got Rs 75000.

II. The ratio of money of Naresh to money held by Ajay is 1 : 3.

The data in statement I alone are sufficient to answer the question
The data in statement II alone are sufficient to answer the question
The data either in I or II alone are sufficient to answer the question
The data even in both the statements together are not sufficient to answer the question.
The data in both the statements together are needed.

Discuss Question

Answer: Option E. -> The data in both the statements together are needed.

From I, we find that

Total money with Naresh and Ajay = Rs(28/100 x 75000) = Rs.21000.

From II, we find that money with Ajay = (3/4 * 21000) = Rs. 15760.

So, both I and II are required.

Question 99.

How many votes did candidate X receive in the City Cooperative bank's director's election ?

I. Candidate X got 17 percent of the votes that were cast.

ll. Four-fifth of the 1000 eligible voters cast their votes.

The data in statement I alone are sufficient to answer the question
The data in statement II alone are sufficient to answer the question
The data either in I or II alone are sufficient to answer the question
The data even in both the statements together are not sufficient to answer the question.
The data in both the statements together are needed.

Discuss Question

Answer: Option E. -> The data in both the statements together are needed.

From statement II, we concludc that number of votes cast = (4/5 x 1000) = 800.

From statement I, wo conclude that votes polled by candidate X = 17% of 800 = 136.

Question 100.

On which day in April is Gautam's birthday ?

I. Gautam was born exactly 28 years after his mother was born.

II. His mother will be 55 years 4 months and 5 days on August 18 this year.

The data in statement I alone are sufficient to answer the question

The data in statement I alone are sufficient to answer the question
The data in statement II alone are sufficient to answer the question
The data either in I or II alone are sufficient to answer the question
The data even in both the statements together are not sufficient to answer the question.
The data in both the statements together are needed.

Discuss Question

Answer: Option E. -> The data in both the statements together are needed.

Clearly, the birthday of Gautam's mother can be found out from II and then Gautama

birthday can be determined using the fact given in I. Thus, both the statements are

required.