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MCQ Test: Data Sufficiency - 2 - Banking Exams MCQ


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20 Questions MCQ Test - MCQ Test: Data Sufficiency - 2

MCQ Test: Data Sufficiency - 2 for Banking Exams 2024 is part of Banking Exams preparation. The MCQ Test: Data Sufficiency - 2 questions and answers have been prepared according to the Banking Exams exam syllabus.The MCQ Test: Data Sufficiency - 2 MCQs are made for Banking Exams 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for MCQ Test: Data Sufficiency - 2 below.
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MCQ Test: Data Sufficiency - 2 - Question 1
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Directions: Each of the questions below consists of a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statements are sufficient to answer the question. Read both the statements and give answer:

Statement I: The circum radius of the triangle is 6 cm.
Statement II: Angle ABC = 60 degrees

Q. What is the area of a right-angled triangle ABC, right angled at A?

Detailed Solution for MCQ Test: Data Sufficiency - 2 - Question 1

If circum radius in the statement 1 is given then hypotenuse will be double of the circum radius.

From the statement II, one angle is 60 degrees then other will be 30 degrees. Here we know all the angles and by combining with the statement I, we can conclude one side that is hypotenuse

By using sin 60 = height/hypotenuse we can conclude the other side then after we can easily conclude the area of the triangle.

Hence, option E is correct.

MCQ Test: Data Sufficiency - 2 - Question 2
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Directions: Each of the questions below consists of a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statements are sufficient to answer the question. Read both the statements and give answer:

Statement I: The difference between their speeds is 12 m/sec
Statement II: The sum of their speeds is 36 meters per second.

Q. Two trains, running in the opposite direction cross each other in 18 sec. What is the difference between their lengths?

Detailed Solution for MCQ Test: Data Sufficiency - 2 - Question 2

If we combine both the statement, then we can conclude their speed as 24 m/sec and 12 m/sec.
Now we can conclude the sum of their length but the difference of their lengths is not possible to get.
Therefore, the data in both the statements I and II is not sufficient to answer the question.
Hence, option D is correct.

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MCQ Test: Data Sufficiency - 2 - Question 3
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Directions: Each of the questions below consists of a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statements are sufficient to answer the question. Read both the statements and give answer:

Statement I: In the school, there are no girls below 14 years who play football.
Statement II: In the school, girls comprise 60% of the total number of students who play football.

Q. In a school, 60% of the girls aged 14 and above play football then how many of girls play football?

Detailed Solution for MCQ Test: Data Sufficiency - 2 - Question 3

In none of the statement or in question, it is given any information about number therefore by using only percentage, we could not conclude our answer.

Hence, option D is correct.

MCQ Test: Data Sufficiency - 2 - Question 4
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Directions: Each of the question below consists of a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statements are sufficient to answer the question. Read both the statements and give answer:

Statement I : 5 years before, Moni was 5 years older than Soni.
Statement II: At present, the ratio of their ages is 5 : 6.

Q. After 5 years, what will the sum of the age of Moni and Soni?
Detailed Solution for MCQ Test: Data Sufficiency - 2 - Question 4

5 years before, let the age of moni = x then the age of soni = x – 5  
At present, their age will be, Moni = x + 5 years, Soni = x – 5 + 5 = x years 
In the statement II, the ratio of x + 5 and x are given therefore, by combining both the statement, we can conclude our answer. Hence, option E is correct.

MCQ Test: Data Sufficiency - 2 - Question 5
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Directions: Each of the question below consists of a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statements are sufficient to answer the question. Read both the statements and give answer:

Statement I : The three digits number is divisible by 9.
Statement II : The three-digit number is divisible by 21.

Q. What is the value of three digits number, the unit digit of which is 3 and divisible by 7?
Detailed Solution for MCQ Test: Data Sufficiency - 2 - Question 5

From the question, the unit digit of the three-digit number is 3, and it is divisible by 7.

From the statement I, the number is divisible by 9

LCM of 9 and 7 = 63

The only number which is multiple of 63 and the unit digit of which is 3, is 63 × 11 = 693

Therefore, we can conclude our answer by this statement

From the statement II, the number is divisible by 21 therefore, LCM of 21 and 7 = 21

There are many numbers like, 273, 483 ------ which is divisible by 21 and 7, and the unit digit of which is 3

Therefore, we could not get a unique answer by this statement.
Therefore, the data in statements I alone is sufficient to answer the question, while the data in statement II alone is not sufficient to answer the question.

Hence, option A is correct.

MCQ Test: Data Sufficiency - 2 - Question 6
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Directions: Each of the question below consists of a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statements are sufficient to answer the question. Read both the statements and give answer:

Statements :
I. 'de fu la pane' means 'rose flower is beautiful' and 'la quiz' means 'beautiful tree'.
II. 'de la chin' means 'red rose flower' and 'pa chin' means 'red tea'.

Q. Which word in the code language means 'flower' ?
Detailed Solution for MCQ Test: Data Sufficiency - 2 - Question 6

From the two statements given in I, the code for the only common word 'beautiful' can be determined.
From the two statements given in II, the code for the only common word 'red' can be determined.
In I and II, the common words are 'rose and 'flower' and the common code words are 'de' and 'la'. So, the code for 'flower' is either 'de' or 'la'.

MCQ Test: Data Sufficiency - 2 - Question 7
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Directions: Each of the question below consists of a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statements are sufficient to answer the question. Read both the statements and give answer:

Statements :
I. D is sitting opposite to A.
II. B is sitting right of A and left of D.

Q. Who is C's partner in a game of cards involving four players A, B, C and D ?
Detailed Solution for MCQ Test: Data Sufficiency - 2 - Question 7

Clearly, each of the given statements shows that B is sitting opposite to C or B is the partner of C.

MCQ Test: Data Sufficiency - 2 - Question 8
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Directions: Each of the question below consists of a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statements are sufficient to answer the question. Read both the statements and give answer:

Statements:
I. Sulekha's husband is the only son of Nandini's mother.
II. Sulekha's brother and Nandini's husband are cousins.

Q. How is Sulekha related to Nandini ?
Detailed Solution for MCQ Test: Data Sufficiency - 2 - Question 8

From I, we conclude that Sulekha is the wife of Nandini's mother's only son i.e. Nandini's brother. Thus, Sulekha is Nandini's sister-in-law.
From II, we conclude that Sulekha is the cousin of Nandini's husband, which implies that Sulekha is Nandini's sister-in-law.

MCQ Test: Data Sufficiency - 2 - Question 9
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Directions: Each of the question below consists of a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statements are sufficient to answer the question. Read both the statements and give the answer:

Statements :
I. 'nik sa te' means 'right or wrong', 'ro da nik' means 'he is right' and 'fe te ro' means 'that is wrong'.
II. 'pa nik la' means 'that right man', 'sa ne pa' means 'this or that' and 'ne ka re' means 'tell this there'.

Q. What is the code for 'or' in the code language?
Detailed Solution for MCQ Test: Data Sufficiency - 2 - Question 9

I. In 'right or wrong' and 'he is right', the common word is 'right' and the common code word is 'nik'. So 'nik' means 'right'. In 'right or wrong' and 'that is wrong', the common word is 'wrong' and the common code word is 'te'. So, 'te' means 'wrong'.
Thus, in 'right or wrong', 'sa' is the code for 'or'. II. In 'that right man' and 'this or that', the common word is 'that' and the common code word is 'pa'. So, 'pa' means 'that'. In 'this or that' and 'tell this there', the common word is 'this' and the common code word is 'ne'. So, 'ne' means 'this'. Thus, in 'this or that', 'sa' is the code for 'or'.

MCQ Test: Data Sufficiency - 2 - Question 10
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Directions: Each of the question below consists of a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statements are sufficient to answer the question. Read both the statements and give answer:

Statements:
I. Kapil's mother remembers that Kapil was born before nineteenth but after fifteenth.
II. Kapil's brother remembers that Kapil was born before seventeenth but after twelfth.

Q. On which date in August was Kapil born ?
Detailed Solution for MCQ Test: Data Sufficiency - 2 - Question 10

From I, we conclude that Kapil was born on any one of the dates among 16th, 17th and 18th.
From II, we conclude that Kapil was born on any one of the dates among 13th, 14th, 15th and 16th.
Thus, from both I and II, we conclude that Kapil was born on 16th August.

MCQ Test: Data Sufficiency - 2 - Question 11
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Directions: Each of the question below consists of a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statements are sufficient to answer the question. Read both the statements and give answer:

Statement I: Pranav can do the work in 20 days, while Pankaj can do the same work in 25 days.
Statement II: Pranav can do the work in 60 days, while Pankaj can do the same work in 15 days.

Q. Pranav and Pankaj started working together. After a few days, Prashant joined them and they were able to finish the work in 10 days. All of them together were paid a total of Rs. 800. Find the share of Prashant.
Detailed Solution for MCQ Test: Data Sufficiency - 2 - Question 11

From statement I:
In 1 day, Pranav finishes 1/20th of the work.
In 1 day, Pankaj finishes 1/25th of the work.
The work was completed in 10 days.
Part of work completed by Pranav and Pankaj in 10 days

Part of work completed by Prashant =
Amount received as payment will be proportional to the amount of work done.
Amount paid to Prashant = 
Similarly, from statement II we also can find the share of Prashant.
∴ Either of the statements alone is sufficient to answer this question.
Hence, option C is correct.

MCQ Test: Data Sufficiency - 2 - Question 12
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Directions: Each of the question below consists of a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statements are sufficient to answer the question. Read both the statements and give answer:

Statements:
I. Gagan, Vimal and Kunal are all of the same age.
II. Total age of Vimal, Kunal and Anil is 32 years and Anil is as old as Vimal and Kunal together.

Q. What is Gagan's age ?
Detailed Solution for MCQ Test: Data Sufficiency - 2 - Question 12

As given in I and II, we have: G = V = K, V + K + A = 32 and A = V + K.
Putting V + K = A in V + K + A = 32, we have: 2A = 32 or A = 16.
Thus, V + K = 16 and V = K. So, V = K = 8. Thus, G = 8.

MCQ Test: Data Sufficiency - 2 - Question 13
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Directions: Each of the question below consists of a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statements are sufficient to answer the question. Read both the statements and give answer:

Statements :
I. Suman has 20 rupees less than what Tarun has.
II. Vivek has 30 rupees more than what Tarun has.

Q. How much money do Vivek and Suman have together ?
Detailed Solution for MCQ Test: Data Sufficiency - 2 - Question 13

From I, we have: S = T - 20.
From II, we have: V = T + 30.
Thus, from both I and II, we have: V + S = (T + 30) + (T - 20) = (2 T + 10).
So, to get the required amount, we need to know the amount that Tarun has.

MCQ Test: Data Sufficiency - 2 - Question 14
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Directions: Each of the question below consists of a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statements are sufficient to answer the question. Read both the statements and give answer:

Statements :
I. R is heavier than Q and T but lighter than S.
II. S is not the heaviest.

Q. Who among P, Q, R, S and T is the lightest?
Detailed Solution for MCQ Test: Data Sufficiency - 2 - Question 14

From I, we have: R>Q, R>T, S>R i.e. S>R>Q>T or S>R>T>Q.
From II, S is not the heaviest. So, P is the heaviest. Thus, we have: P > S > R > Q > T or P > S > R > T > Q. Hence, either T or Q is the lightest.

MCQ Test: Data Sufficiency - 2 - Question 15
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Directions: Each of the question below consists of a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statements are sufficient to answer the question. Read both the statements and give answer:

Statements :
I. Durgapur is 20 kms away from Rampur.
II. Devipur is 15 kms away from Rampur.

Q. What is the shortest distance between Devipur and Durgapur ?
Detailed Solution for MCQ Test: Data Sufficiency - 2 - Question 15

Clearly, the distance of each village from Rampur is given in I and II. But nothing about their relative positions is mentioned. So, the distance between the two villages cannot be calculated.

MCQ Test: Data Sufficiency - 2 - Question 16
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Directions: Each of the question below consists of a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statements are sufficient to answer the question. Read both the statements and give answer:

Statement I: Rohan invests the same of amount of money under simple interest at the rate of 10% per annum and receives a total amount of Rs.1560 at the end of 3 years.
Statement II: The difference between the simple interest and compound interest on the same sum of money at the same rate of interest at the end of 2 years is Rs 12.

Q. How much amount Rina will get at the end of two years if the rate of interest is compounded annually?
Detailed Solution for MCQ Test: Data Sufficiency - 2 - Question 16

From the statement I, we can conclude the sum of money Rina had invested but nowhere it is mentioned the rate of interest Rina had invested her money. Therefore we can not reach theanswer by the statement alone.
From the statement II, Difference between CI and SI is Rs.12  at the end of 2 years. But as the principal is not given here, we can't deduce the rate of interest using statement II alone.
But, from the statement I, we concluded the sum of money and to this statement we can conclude the rate of interest.
Therefore, if we combine statement I and statement II then we can conclude that the rate of interest was 10% per annum and the sum of money was Rs. 1200 now we can calculate the amount Rina will receive al the end of 2 years
Therefore, the data in both the statements I and II together is necessary to answer the question
Hence, option E is correct.

MCQ Test: Data Sufficiency - 2 - Question 17
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Directions: Each of the question below consists of a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statements are sufficient to answer the question. Read both the statements and give answer:

Statement I : The ratio of angle A to angle B is 3 : 2 that is the same as the ratio of angle B to angle C.
Statement II : The perimeter of the triangle is 144 cm.

Q. In a triangle ABC, which of the sides among AB, BC, and CA is the longest side?
Detailed Solution for MCQ Test: Data Sufficiency - 2 - Question 17

From the statement I, we can conclude the ratio of the angle a : b : c = 9 : 6 : 4
We know that in a triangle the side opposite to the bigger angle is largest.

From here we can conclude that the side BC will be the largest.
From the statement II, only perimeter is given but, in the question, we need to find the largest side therefore, nothing can be concluded by this statement alone.
Therefore, the data in statements I alone is sufficient to answer the question, while the data in statement II alone is not sufficient to answer the question.
Hence, option A is correct.

MCQ Test: Data Sufficiency - 2 - Question 18
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Directions: Each of the question below consists of a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statements are sufficient to answer the question. Read both the statements and give answer:

Statement I: The ratio of speed at which train P and train Q runs is 4 : 5 respectively
Statement II: The average speed of the train P and train Q is 400/9 km per hour?

Q. How much time train P will take to cover a distance of 532 km?
Detailed Solution for MCQ Test: Data Sufficiency - 2 - Question 18

In the question, the distance is given.
In the statement I, the ratio of speed is given.
From the statement I we can conclude that P’s speed : Q’s speed = 4 : 5  but we cannt find out speed of individual trains.
In statement II the average speed of both the trains is given so we cannot find out speed of individual trains.
If we combine statement I with statement II, then we can get as P’s speed = 40 km per hr Q’s speed = 50 km per hr
Therefore, the data in both the statements I and II is necessary to answer the question.
Hence, option E is correct.

MCQ Test: Data Sufficiency - 2 - Question 19
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Directions: Each of the question below consists of a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statements are sufficient to answer the question. Read both the statements and give answer:

Statement I: The population of city in the year 2018 is exactly 1.4641 times of that in the year 2014.
Statement II: The population of the city increased by 10% each year.

Q. The population of a city in the year 2018 was 219615 then what was the population of city exactly 4 years ago?
Detailed Solution for MCQ Test: Data Sufficiency - 2 - Question 19

Let the population of the city 4 years ago i.e. in the year 2014 = x
Then, from the statement I, 1.4641 × x = 219615
x = 150000
From the statement II,
If it was increased by 10% each year then,

From here, we can get the value of x = 150000
therefore, Either Statement I or Statement II alone is sufficient to answer the question.
Hence, option C is correct.

MCQ Test: Data Sufficiency - 2 - Question 20
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Directions: Each of the question below consists of a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statements are sufficient to answer the question. Read both the statements and give answer:

Statement I: For the first 100 km it travels at the speed of 250 km per hour and maintains the same speed during the entire journey.
Statement II: It has 5 stoppages in between Delhi and Patna.
Statement III: Before every stoppages, it covers a same distance of 240 km

Q. Shatabdi Express leaves Patna at 8:00 am for Delhi. At what time will it reach Delhi?
Detailed Solution for MCQ Test: Data Sufficiency - 2 - Question 20

From the Statement I we can conclude the speed of the train and by combining Statement II and Statement III, we can conclude the distance between Delhi and Patna. But we cannot conclude how long it has stopped at each stoppage because the speed we concluded from the statement I is the speed of the train not the average speed of the entire journey.

Hence, option E is correct.

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