EPFO Assistant Prelims Mock Test - 4 - Bank Exams MCQ

Age : Subodh, Roshan ,Avinash, Keshav, and Hemant.
Height : Keshav, Roshan, Subodh, Avinash, Hemant
So the correct answer is D

Statements: R > I = N > P      Y ≥ R > K      N ≤ E < Z
Conclusions: K > I,         I < Z
For conclusion I: K > I
From the statements I and II, we get:
I < R > K
Here, the signs on inequalities between I and R are getting reversed. Conclusion I hence doesn't follow.

For conclusion II: I < Z
Combining statements I and III, we get:
I = N ≤ E < Z
Here, the common sign between I and Z is ‘<’ and the given conclusion is also I < Z. Hence, conclusion II follows.
Hence, the correct answer is would be ‘Only conclusion II follows’.

Statements:   B ≥ P = M ,    X > B < T,    Y = H ≤ X ,   R > Y > N
Conclusions:  P > H ,    P = H,     R > X
For Conclusion I: P > H
From statements I, II and III, we get:
H ≤ X > B ≥ P
Here, we can see the opposite sign between P and  H , thus no relationship can be established between them.
Hence conclusion I does not follow.
For Conclusion II: P = H
From statements I, II and III, we get:
H ≤ X > B ≥ P
Here, we can see the opposite sign between P and  H , thus no relationship can be established between them.
Hence conclusion II does not follow.
For Conclusion III: R > X
From statements II and III, we get:
R > Y = H ≤ X
Here, we can see the opposite sign between R and X, thus no relationship can be established between them.
Hence conclusion III does not follow.
Therefore none of the conclusions follows.
Hence option E is correct.

14 = (2 x 9 - 4)

26 = (2 x 15 - 4)

? = 15

Following the final solution we can say that Suraj owns Tesla.
Hence, the correct answer is option A.
Final Solution:

Common Explanation:
Reference:
Six persons – Ronak, Manat, Suraj, Jyoti, Parth, and Bilal were living in a building of six floors. Each of these persons owns a different car – Jaguar, Audi, Ferrari, BMW, Bentley and Tesla, but not necessarily in the same order. The bottom floor of the building was numbered as 1, the floor above it was numbered as 2 and so on.
Inference:
We will keep this information in mind while solving the puzzle.
Reference:
There were 2 floors between Bilal and the one who owns Ferrari.
Bilal lives below the one who owns Ferrari.
The one who owns Tesla lives just above the one who owns Ferrari.
Inference:
Here, we have two possible scenarios in which we can use the above hints accordingly.
Case 1:

Case 2:

Reference:
There were 2 floors between Manat and the one who owns BMW.
Manat lives above the one who owns BMW.
Manat and Ronak were living on consecutive floors.
Ronak owns Audi and there were 2 floors between Ronak and Parth.
Inference:
Here, we have several possible scenarios in which the above hints can be used in case 1 and case 2.
Case 1-A:

Case 1-B:

Case 2-A:

Case 2-B:

Reference:
There was 1 floor between Jyoti and the one who owns Jaguar.
Jyoti lives above the one who owns Jaguar.
Inference:
At this point we cannot fix the position of Jyoti and the one who owns Jaguar in Case 1-A, Case 1-B and Case 2-A according to the above hints. So we can say that Case 1-A, Case 1-B and Case 2-A are invalid cases.
Case 2-B:

Here, we can easily fix the position of the one who owns Bentley and Suraj in case 2-B as:
Case 2-B:

Following the final solution we can say that only two persons live below the one who owns Bentley.
Hence, the correct answer is option C.
Final Solution:

Common Explanation:
Reference:
Six persons – Ronak, Manat, Suraj, Jyoti, Parth, and Bilal were living in a building of six floors. Each of these persons owns a different car – Jaguar, Audi, Ferrari, BMW, Bentley and Tesla, but not necessarily in the same order. The bottom floor of the building was numbered as 1, the floor above it was numbered as 2 and so on.
Inference:
We will keep this information in mind while solving the puzzle.
Reference:
There were 2 floors between Bilal and the one who owns Ferrari.
Bilal lives below the one who owns Ferrari.
The one who owns Tesla lives just above the one who owns Ferrari.
Inference:
Here, we have two possible scenarios in which we can use the above hints accordingly.
Case 1:

Case 2:

Reference:
There were 2 floors between Manat and the one who owns BMW.
Manat lives above the one who owns BMW.
Manat and Ronak were living on consecutive floors.
Ronak owns Audi and there were 2 floors between Ronak and Parth.
Inference:
Here, we have several possible scenarios in which the above hints can be used in case 1 and case 2.
Case 1-A:

Case 1-B:

Case 2-A:

Case 2-B:

Reference:
There was 1 floor between Jyoti and the one who owns Jaguar.
Jyoti lives above the one who owns Jaguar.
Inference:
At this point we cannot fix the position of Jyoti and the one who owns Jaguar in Case 1-A, Case 1-B and Case 2-A according to the above hints. So we can say that Case 1-A, Case 1-B and Case 2-A are invalid cases.
Case 2-B:

Here, we can easily fix the position of the one who owns Bentley and Suraj in case 2-B as:
Case 2-B:

Following the final solution we can say that Ronak lives immediately below Manat.
Hence, the correct answer is option A.
Final Solution:

Common Explanation:
Reference:
Six persons – Ronak, Manat, Suraj, Jyoti, Parth, and Bilal were living in a building of six floors. Each of these persons owns a different car – Jaguar, Audi, Ferrari, BMW, Bentley and Tesla, but not necessarily in the same order. The bottom floor of the building was numbered as 1, the floor above it was numbered as 2 and so on.
Inference:
We will keep this information in mind while solving the puzzle.
Reference:
There were 2 floors between Bilal and the one who owns Ferrari.
Bilal lives below the one who owns Ferrari.
The one who owns Tesla lives just above the one who owns Ferrari.
Inference:
Here, we have two possible scenarios in which we can use the above hints accordingly.
Case 1:

Case 2:

Reference:
There were 2 floors between Manat and the one who owns BMW.
Manat lives above the one who owns BMW.
Manat and Ronak were living on consecutive floors.
Ronak owns Audi and there were 2 floors between Ronak and Parth.
Inference:
Here, we have several possible scenarios in which the above hints can be used in case 1 and case 2.
Case 1-A:

Case 1-B:

Case 2-A:

Case 2-B:

Reference:
There was 1 floor between Jyoti and the one who owns Jaguar.
Jyoti lives above the one who owns Jaguar.
Inference:
At this point we cannot fix the position of Jyoti and the one who owns Jaguar in Case 1-A, Case 1-B and Case 2-A according to the above hints. So we can say that Case 1-A, Case 1-B and Case 2-A are invalid cases.
Case 2-B:

Here, we can easily fix the position of the one who owns Bentley and Suraj in case 2-B as:
Case 2-B:

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.

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.

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.

Here, '-' represents 'Female' and '+' represents 'Male'.

Sashi = 4%, Rishi = 5%. In five days, they do a total of 45% work. Rishi will finish the remaining
55% work in 11 more days.

Here, the height through which the bucket is to be raised = Number of revolutions of the drum × circumference

Given:

• A reduction of 20% in the price of rice enables a housewife to buy 5 kg more for Rs. 1200.
• Calculation:
• Let the original price per kg of rice be Rs. 100x.
• After a 20% reduction, the new price per kg = 100x - 100x × 20%
• ⇒ 100x - 20x = 80x
• Thus, the new price is Rs. 80x per kg.
• According to the question:
• The difference in the quantities of rice bought with Rs. 1200 at the old and new prices is 5 kg.
• So,
• New quantity − Old quantity = 5 kg
• Using the price formulas:
• 
• Simplify the equation:
• 
• Now, solving for x:
• 
• Now, substitute the value of x into the new price formula:
• 
• New price = 48 Rs. per kg
• Thus, the reduced price per kg of rice is Rs. 48.

Let (a + b) = 6k, (b + c) = 7k and (c + a) = 8k.
Then, 2 (a + b + c) = 21k
2 × 14 = 21k
k = 28/21 = 4/3
(a + b) = (6 × 4/3) = 8
c = (a + b + c) - (a + b) = (14 - 8) = 6

 L.C.M of 5, 6, 7, 8 = 840

Therefore, Required Number is of the form 840k+3.

Least value of k for which (840k+3) is divisible by 9 is k = 2 

Therefore, Required  Number = (840 x 2+3)=1683

Required percentage

The number of people who visited Qutub Minar and India Gate in 2013 together = (420 + 240) = 660
 The number of people who visited Lotus Temple and Taj Mahal in 2012 together = (320 +280) = 600
 Required ratio = 660 : 600 = 11 : 10
 Hence, option E is correct.

The number of people who visited Taj Mahal in 2013 = 450

The number of people who visited Taj Mahal and Lotus Temple in 2012 together = (280 + 320) = 600

Difference = (600 – 450) = 150

% less = 150/600 × 100 = 25%

Hence, option C is correct.

Total number of five-digit numbers formed by the digits 1, 2, 3, 4 and 5 is 5!.
Therefore, exhaustive number of cases = 5! = 120
A number is divisible by 4, if the number formed by the last two digits is divisible by 4.
Therefore, the last two digits can be 12, 24, 32 or 52. The last two digits can be filled in 4 ways.
Corresponding to each of these ways, there are 3! = 6 ways of filling the remaining three places.
∴ The total number of five-digit numbers formed by the digits 1, 2, 3, 4 and 5 and divisible by 4 is 4 × 6 = 24
Therefore, favourable number of cases = 24
So, required probability = 24/120 = 1/5

We require that the 1st and the 5th numbers are the same and the 2nd and the 4th numbers are the same. If the 1st and the 2nd numbers are chosen, the 5th and the 4th numbers will also have been chosen. As the 1st number cannot be 0, it can be chosen in 9 ways. The 2nd and the 3rd numbers can be chosen in 10 ways each. Therefore, the total number of ways is (9 × 10²) = 900.

4 men can be chosen from among 6 in ⁶C₄ ways and 3 women from among 4 can be chosen in ⁴C₃ ways, i.e. 60 ways.
If 2 women, W1 and W2, are in the same committee, then the 3rd woman can be chosen in 2 ways.
In this case, the number of ways will be ⁶C₄ × 2 ways.
Therefore, the number of ways of forming the committee if W1 and W2 are never in the same committee = 60 - 30 = 30

32 * 8 = 256
256 * 4 = 1024
1024 * 2 = 2048
2048*1 = 2048

Answer – B.10.80 Explanation : Let the rate of second quality be Rs x per Kg. 9.30…..…………x …………10………….
8………………………7
7X – 70 = 5.6
X = 10.80

Let:
Group A: 3 girls, 1 boy
Group B: 2 girls, 2 boys
Group C: 1 girl, 3 boys
The combination of 1 girl and 2 boys can be selected in:
(i) A - girl, B - boy, C - boy: 3/4​×2/4​×3/4​=18/64

(ii) A - boy, B - girl, C - boy: 1/4*2/4*3/4 =6/64

(iii) A - boy, B - boy, C - girl: 1/4*2/4*1/4= 2/64.

Hence, required probability = 18/64+6/64+ 2/64 ​=26/64=13/32

So, the correct answer is c​

Delete 'if'

Supposing it rains what shall we do?

Public good, 'social capital' controls the word. The most appropriuate option approximating to 'social capital' is public good.

Sentence 3 is the leading sentence as it introduces the character 'Sally' who walks out of the hospital. After coming out of the hospital, she goes back home in 'car' (sentence 1). 'Drive' in sentence 6 refers to 'car' in 1. So, 6 follows 1. Sentence 4 intensifies the situation ('even harder') and falls next in the sequence. After reaching the 'empty house', she carries 'Jimmy's belongings' to the room (sentence 2) and places the stuff there (sentence 5). Sentence 5 follows sentence 2, as 'him' in 5 refers to 'Jimmy' in 2. The correct sequence is: 3-1-6-4-2-5.

Sentence 3 is the leading sentence as it introduces the character 'Sally' who walks out of the hospital. After coming out of the hospital, she goes back home in 'car' (sentence 1). 'Drive' in sentence 6 refers to 'car' in 1. So, 6 follows 1. Sentence 4 intensifies the situation ('even harder') and falls next in the sequence. After reaching the 'empty house', she carries 'Jimmy's belongings' to the room (sentence 2) and places the stuff there (sentence 5). Sentence 5 follows sentence 2, as 'him' in 5 refers to 'Jimmy' in 2. The correct sequence is: 3-1-6-4-2-5.