EPFO Assistant Prelims Mock Test - 5 - Bank Exams MCQ

First all the numbers are arranged in ascending order, one by one, then once this is done, all the words are arranged in reverse alphabetical order one by one.

Input: jack 88 sell 70 his 87 apple 90 tree
Step 1: 70 jack 88 sell his 87 apple 90 tree
Step 2: 70 87 jack 88 sell his apple 90 tree
Step 3: 70 87 88 jack sell his apple 90 tree
Step 4: 70 87 88 90 jack sell his apple tree

Statements:   T > K > Y ,    J ≤ K = G ,    I > C ≥ G ,  M ≤ I < N
Conclusions:  N > K ,    C ≤ T,     M < J
For Conclusion I: N > K
From statements II, III and IV, we get:
N > I > C ≥ G = K
Here, the common sign between N and K is '>'. Thus N > K.
Hence conclusion I follows.
For Conclusion II: C ≤ T
From statements I, II and III, we get:
C ≥ G = K < T
Here, we can see the opposite sign between C and  T , thus no relationship can be established between them.
Hence conclusion II does not follow.
For Conclusion III: M < J
From statements II, III and IV, we get:
M ≤ I > C ≥ G = K ≥ J
Here, we can see the opposite sign between M and J, thus no relationship can be established between them.
Hence conclusion III does not follow.
Therefore only conclusion I follows.
Hence option C is correct.

As, 123 → 13²

As, 235 → 25³

The middle digit of first term becomes power to the next term.

Following the final solution we can say that D is third to the right of B.
Hence, the correct answer is option C.

Common Explanation:
Reference:
Only 3 persons sit to the left of R.
3 persons sit between R and Q.
Inference:
As we don’t know that in which direction exactly R is facing. So, we can say that there possible scenarios in which we can use the above information correctly.
Case 1:
R faces north.

Case 2:
R faces south.

Reference:
B is 2nd to the left of Q.
Neighbours of R face the south.
B and Q face in opposite direction.
Inference:
We can use the above information in both of the cases accordingly as shown in the figures:

Reference:
More than 2 people’s sits between B and S.
D is 2nd to the left of S.
Inference:
After studying the first information we can say that either 3 or 4 persons are sitting between B and S. and with the second hint we can place D according to S in the row and we can say that there are exactly 4 persons are sitting between B and S.

Reference:
Neighbours of P face the same direction.
A and P faces in opposite direction.
C is 2nd to the right of A.
Inference:
With the first hint we can say that our case 2 is an invalid case as we cannot place P with both of its neighbour facing the same direction.
And after placing P in case 1 we can fix the position of A and C easily and can complete the puzzle.

Following the final solution we can say that P and R are the neighbours of D.
Hence, the correct answer is option D.

Common Explanation:
Reference:
Only 3 persons sit to the left of R.
3 persons sit between R and Q.
Inference:
As we don’t know that in which direction exactly R is facing. So, we can say that there possible scenarios in which we can use the above information correctly.
Case 1:
R faces north.

Case 2:
R faces south.

Reference:
B is 2nd to the left of Q.
Neighbours of R face the south.
B and Q face in opposite direction.
Inference:
We can use the above information in both of the cases accordingly as shown in the figures:

Reference:
More than 2 people’s sits between B and S.
D is 2nd to the left of S.
Inference:
After studying the first information we can say that either 3 or 4 persons are sitting between B and S. and with the second hint we can place D according to S in the row and we can say that there are exactly 4 persons are sitting between B and S.

Reference:
Neighbours of P face the same direction.
A and P faces in opposite direction.
C is 2nd to the right of A.
Inference:
With the first hint we can say that our case 2 is an invalid case as we cannot place P with both of its neighbour facing the same direction.
And after placing P in case 1 we can fix the position of A and C easily and can complete the puzzle.

Following the final solution we can say that 3 persons sits between D and A.
Hence, the correct answer is option C.

Common Explanation:
Reference:
Only 3 persons sit to the left of R.
3 persons sit between R and Q.
Inference:
As we don’t know that in which direction exactly R is facing. So, we can say that there possible scenarios in which we can use the above information correctly.
Case 1:
R faces north.

Case 2:
R faces south.

Reference:
B is 2nd to the left of Q.
Neighbours of R face the south.
B and Q face in opposite direction.
Inference:
We can use the above information in both of the cases accordingly as shown in the figures:

Reference:
More than 2 people’s sits between B and S.
D is 2nd to the left of S.
Inference:
After studying the first information we can say that either 3 or 4 persons are sitting between B and S. and with the second hint we can place D according to S in the row and we can say that there are exactly 4 persons are sitting between B and S.

Reference:
Neighbours of P face the same direction.
A and P faces in opposite direction.
C is 2nd to the right of A.
Inference:
With the first hint we can say that our case 2 is an invalid case as we cannot place P with both of its neighbour facing the same direction.
And after placing P in case 1 we can fix the position of A and C easily and can complete the puzzle.

The following common explanation, we get "Kathir-300 kilometers".
Hence, option C is correct. 

Common Explanation
References
Each of them went for bike drive on different number of days among 5, 7, 9, 10, 12 and 15 but not necessarily in the same order.
Each of them also covered different kilometers among those days like 60, 96, 112, 210, 225 and 300 but not necessarily in the same order.
The number of days taken by Gautham is equal to the total number of days taken by Saran and Vibin.
Vishal went for drive for more number of days than Gautham.
Kathir went for drive for more number of days than Priyan and has more average than Priyan.
Inferences
From above statements,
The number of days taken by Gautham is equal to the total number of days taken by Saran and Vibin.
Among given number of days, there are 2 possibilities for Gautham
Saran = 5 or 7 & Vibin = 7 or 5, and then Gautham = 5 + 7 = 12
Saran = 5 or 10 & Vibin = 10 or 5 and then Gautham = 5 + 10 = 15
Vishal went for drive for more number of days than Gautham.
Here, Vishal (No. of days) > Gautham (No. of days). It is clearly understood that, Gautham is taken only 12 days for bike drive since maximum number of days among given is 15.
By this, we also get that Visha hasl taken 15 days for bike drive (only possibility).
Now we know, Vishal = 15 days, Gautham = 12 days, Saran = 5 or 7 days and Vibin = 7 or 5 days
Kathir went for drive for more number of days than Priyan and has more average than Priyan.
Given, Kathir (No. of days) > Priyan (No. of days).
Remaining days left are, 9 and 10. Therefore, Kathir = 10 days & Priyan = 9 days
By using above information, we get the initial table as follows,

References
Each of them also covered different kilometers among those days like 60, 96, 112, 210, 225 and 300 but not necessarily in the same order.
For all the persons, average is whole number and less than 50.
The average of Saran is equal to the number of days taken by Gautham for bike drive.
Inferences
From above statements,
The average of Saran is equal to the number of days taken by Gautham for bike drive.
We know Gautham has taken 12 days for bike drive.
Therefore average kilometer covered per day by Saran = 12
Also we know Saran has taken either 5 or 7 days.

Then, Total Kilometers covered by Saran = 12 × 7 = 84 Km (Which is not possible as 84 km is not given in statement)
Therefore we get that, Saran covered 60 Km in 5 days and Vibin has taken 7 days.
Thus we get the table as follows,

References
Each of them also covered different kilometers among those days like 60, 96, 112, 210, 225 and 300 but not necessarily in the same order.
For all the persons, average is whole number and less than 50.
The average of Vibin is twice the average of Gautham.
Kathir went for drive for more number of days than Priyan and has more average than Priyan.
Inferences
From above statements,
For all the persons, average is whole number and less than 50.
We know total number of days taken by all persons. Now we have to check with given kilometers based on above said condition i.e. Average should be whole number & it is less than 50.
Remaining kilometers are 96, 112, 210, 225 and 300 but not necessarily in the same order.
Among given kilometers, 96 get divided by only by 12 exactly (remaining numbers results in decimal)
Thus we conclude that, Gautham has covered 96 kilometers in 12 days at an average of 8 kilometers per day [96/12 = 8]
The average of Vibin is twice the average of Gautham.
Given, Vibin (Average) = 2 Gautham (Average)
Now, Vibin (Average) = 2 × 8 = 16 & we know Vibin has taken 7 days for bike drive.
Then, Total Kilometers covered by Vibin = 16 × 7 = 112 Km
Thus, Vibin has covered 112 kilometers in 7 days at an average of 16 kilometers per day [112/7 = 16]
Kathir went for drive for more number of days than Priyan and has more average than Priyan.
Given, Kathir (Average) > Priyan (Average)
Remaining kilometers are 210, 225 and 300.
Among given kilometers, 225 get divided by only by 9 exactly (remaining numbers results in decimal).
Thus we conclude that, Priyan has covered 225 kilometers in 9 days at an average of 25 kilometers per day [225/9 = 25].
Now we can easily say that, Kathir has covered 300 kilometers in 10 days at an average of 30 kilometers per day [300/10 = 30] i.e. Kathir (Average = 30) > Priyan (Average = 25).
Finally, Vishal has covered 210 kilometers in 15 days at an average of 14 kilometers per day [210/15 = 14].
Thus we get the completed table as shown below,
 

The following common explanation, we get "Gautham average is 8, lowest among all".
Hence, option B is correct.

Common Explanation
References
Each of them went for bike drive on different number of days among 5, 7, 9, 10, 12 and 15 but not necessarily in the same order.
Each of them also covered different kilometers among those days like 60, 96, 112, 210, 225 and 300 but not necessarily in the same order.
The number of days taken by Gautham is equal to the total number of days taken by Saran and Vibin.
Vishal went for drive for more number of days than Gautham.
Kathir went for drive for more number of days than Priyan and has more average than Priyan.
Inferences
From above statements,
The number of days taken by Gautham is equal to the total number of days taken by Saran and Vibin.
Among given number of days, there are 2 possibilities for Gautham
Saran = 5 or 7 & Vibin = 7 or 5, and then Gautham = 5 + 7 = 12
Saran = 5 or 10 & Vibin = 10 or 5 and then Gautham = 5 + 10 = 15
Vishal went for drive for more number of days than Gautham.
Here, Vishal (No. of days) > Gautham (No. of days). It is clearly understood that, Gautham is taken only 12 days for bike drive since maximum number of days among given is 15.
By this, we also get that Visha hasl taken 15 days for bike drive (only possibility).
Now we know, Vishal = 15 days, Gautham = 12 days, Saran = 5 or 7 days and Vibin = 7 or 5 days
Kathir went for drive for more number of days than Priyan and has more average than Priyan.
Given, Kathir (No. of days) > Priyan (No. of days).
Remaining days left are, 9 and 10. Therefore, Kathir = 10 days & Priyan = 9 days
By using above information, we get the initial table as follows,

References
Each of them also covered different kilometers among those days like 60, 96, 112, 210, 225 and 300 but not necessarily in the same order.
For all the persons, average is whole number and less than 50.
The average of Saran is equal to the number of days taken by Gautham for bike drive.
Inferences
From above statements,
The average of Saran is equal to the number of days taken by Gautham for bike drive.
We know Gautham has taken 12 days for bike drive.
Therefore average kilometer covered per day by Saran = 12
Also we know Saran has taken either 5 or 7 days.

Then, Total Kilometers covered by Saran = 12 × 7 = 84 Km (Which is not possible as 84 km is not given in statement)
Therefore we get that, Saran covered 60 Km in 5 days and Vibin has taken 7 days.
Thus we get the table as follows,

References
Each of them also covered different kilometers among those days like 60, 96, 112, 210, 225 and 300 but not necessarily in the same order.
For all the persons, average is whole number and less than 50.
The average of Vibin is twice the average of Gautham.
Kathir went for drive for more number of days than Priyan and has more average than Priyan.
Inferences
From above statements,
For all the persons, average is whole number and less than 50.
We know total number of days taken by all persons. Now we have to check with given kilometers based on above said condition i.e. Average should be whole number & it is less than 50.
Remaining kilometers are 96, 112, 210, 225 and 300 but not necessarily in the same order.
Among given kilometers, 96 get divided by only by 12 exactly (remaining numbers results in decimal)
Thus we conclude that, Gautham has covered 96 kilometers in 12 days at an average of 8 kilometers per day [96/12 = 8]
The average of Vibin is twice the average of Gautham.
Given, Vibin (Average) = 2 Gautham (Average)
Now, Vibin (Average) = 2 × 8 = 16 & we know Vibin has taken 7 days for bike drive.
Then, Total Kilometers covered by Vibin = 16 × 7 = 112 Km
Thus, Vibin has covered 112 kilometers in 7 days at an average of 16 kilometers per day [112/7 = 16]
Kathir went for drive for more number of days than Priyan and has more average than Priyan.
Given, Kathir (Average) > Priyan (Average)
Remaining kilometers are 210, 225 and 300.
Among given kilometers, 225 get divided by only by 9 exactly (remaining numbers results in decimal).
Thus we conclude that, Priyan has covered 225 kilometers in 9 days at an average of 25 kilometers per day [225/9 = 25].
Now we can easily say that, Kathir has covered 300 kilometers in 10 days at an average of 30 kilometers per day [300/10 = 30] i.e. Kathir (Average = 30) > Priyan (Average = 25).
Finally, Vishal has covered 210 kilometers in 15 days at an average of 14 kilometers per day [210/15 = 14].
Thus we get the completed table as shown below,

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.

O = T # Y @ X - I, means O is the mother of T, who is the sister of Y, who is the brother of X, who is the husband of I.

According to this, O is the mother-in-law of I.

Raju being twice as good a workman as Vijay, you can solve the following equation to get the
required answer:
1/R + 1/2R = 1/14.
Solving will give you that Vijay takes 42 days.

12 × 5 man days + 16 × 5 Boy days
= 13 × 4 man days + 24 × 4 Boy days
Æ 8 man days = 16 Boy days
1 man day = 2 Boy days.
Required ratio of man’s work to boy’s work = 2 : 1.

12% percent didn’t cast their vote. 45% of total votes get by the winning candidates, so remaining 43% will be scored by his rival. So, (45/100 -43/100)*P = 2000
P = 100000

The age of 3^rd son = 1/3 × 60 = 20 yrs
Age of 1^st son = 20 + 8 = 28 yrs
Age of 2^nd son = 28 - 4 = 24 years
Ratio of their ages = 28 : 24 : 20 = 7 : 6 : 5
As per question, 7x + 6x + 5x = 12,00,000, i.e., 18x = 12,00,000
So, x = 66,666.66
Share of 2nd son = 6x = 6 × 66,666.66 = Rs. 4,00,000

It is known that expenditure of Brian is 2^rd/3 of his income.
Let Brian`s monthly income be $36.
Then, his expenditure will be $24.
Total savings of Brian = $12
Ratio of savings of Brian to that of Sam is given as 2 : 3.
Hence, savings of Sam = $18
Now, ratio of incomes = Brian : Sam = 3 : 4
As Brian`s income = $36, then income of Sam will be $48.
So, ratio of expenditure of Brian to that of Sam = 24 : 30 or 4 : 5

Number of Campus shoes seles on Patna store in 2014 = 80
Number of Campus shoes seles on Patna store in 2015 = 120
Number of Campus shoes sales on Patna store in 2015 = 140
Total numbers of Campus shoes seles  on Patna store in these three years = 80 + 120 + 140 = 340
Number of Campus shoes seles on Asansol store in 2014 = 150
Number of Campus shoes seles on Asansol store in 2015 = 210
Number of Campus shoes sales on Asansol store in 2015 = 280
Total numbers of Campus shoes seles  on Asansol store in these three years = 150 + 210 + 280 = 640

Hence, required ratio = 340/640 = 17 : 32

Number of Campus shoes sales on Gaya store in 2014 = 70
Number of Campus shoes sales on Gaya store in 2015 = 160
Number of Campus shoes sales on Gaya store in 2016 = 210
Number of Campus shoes sales on Patna store in 2014 = 80
Number of Campus shoes sales on Patna store in 2015 = 120
Number of Campus shoes sales on Patna store in 2016 = 140
Total number of Campus shoes sales on Gaya store and Patna store together for three years = (70 + 160 + 210 + 80 + 120 + 140) = 780
Number of Campus shoes sales on Dhanbad store in 2014 = 140
Number of Campus shoes sales on Dhanbad store in 2015 = 230
Number of Campus shoes sales on Dhanbad store in 2016 = 190
Number of Campus shoes sales on Ranchi store in 2014 = 90
Number of Campus shoes sales on Ranchi store in 2015 = 180
Number of Campus shoes sales on Ranchi store in 2016 = 260
Total number of Campus shoes sales on Dhanbad store and Ranchi store together for three years = (140 + 230 + 190 + 90 + 180 + 260) = 1090

Hence, required percentage = 

Number of Campus shoes sales on Kolkata store in 2014 = 120
Number of Campus shoes sales on Patna store in 2014 = 80
Number of Campus shoes sales on Dhanbad store in 2014 = 140
Number of Campus shoes sales on Ranchi store in 2014 = 90
Number of Campus shoes sales on Asansol store in 2014 = 150
Number of Campus shoes sales on Gaya store in 2014 = 70
Average sales of Campus shoes of all the stores for the year 2014

Number of Campus shoes sales on Kolkata store in 2015 = 250
Number of Campus shoes sales on Patna store in 2015 = 120
Number of Campus shoes sales on Dhanbad store in 2015 = 230
Number of Campus shoes sales on Ranchi store in 2015 = 180
Number of Campus shoes sales on Asansol store in 2015 = 210
Number of Campus shoes sales on Gaya store in 2015 = 160
Average sales of Campus shoes of all the stores for the year 2015

Calculation:

There will be a total of 41 members in the factory = 39 workers + 2 managers

Daily wages of the managers ranges between 700 and 800, it would be calculated on the basis of 750.

Similarly, the calculation would be done according to the midpoints (for eg. if 5  employees have their salaries between 200 to 300, it will be solved as 5 × 250)

Total daily wages of all members of staff of the factory = 250 × 5 + 350 × 9 + 450 × 12 + 550 × 11 + 650 × 2 + 750 × 2 = Rs.18650

Total number of workers = 5 + 9 + 12 + 11 + 2 + 2 = 41

∴ the average daily wage of all members of staff of the factory = 18650/41 = 454.8 ≈ Rs.455

Calculation:

Production of raw wool in 2014-15 = 51

Production of raw wool in 2019-20 = 68

Required production of raw wool = (51/68)

⇒ 3/4

∴ Required production of raw wool is 3/4

The code is formed by 4 letters and 4 digits. The 4 letters are first to be selected and then to be arranged, and the same has to be done for digits.
Number of ways to select and arrange the letters = ⁸C₄ × 4!
Number of ways to select and arrange the digits = ¹⁰C₄ × 4!
The code is formed by both letters and digits, so total number of cases = (⁸C₄ × 4!) × (¹⁰C₄ × 4!)

Ice-creams with no topping = 6
Ice creams with one topping = 6 × 5 = 30
Ice-creams with two toppings = 6 × ⁵C₂ = 60
Ice-creams with three toppings = 6 × ⁵C₃ = 60
Ice-creams with four toppings = 6 × ⁵C₄ = 30
Ice-creams with five toppings = 6 × ⁵C₅ = 6
So, total number of different ice-creams possible = 6 + 30 + 60 + 60 + 30 + 6 = 192 = 6 × 2⁵

1637 + 1832 = (45)² + (?)²
(?)² = 3469 – 2025 = 1444 => x = 38

Answer – B.20 Explanation : 25% profit by selling the mixture at Rs.40/kg, his cost per kg of the mixture = Rs.32/kg. (x×42)+(25×24)=32(x+25) 42x+600=32x+800 10x=200 x=20kgs.
Shortcut: 125 = 40
100 = 32
42……………….24
………32…………..
8…………………….10
10 = 25
8 = 20

Make no bones about something:  If you make no bones about something, you don't hesitate to say something in a frank and open way.

Ex: Tom made no bones about wanting to be promoted.

This eliminates warm behavior.

Out of the rest, only being blunt fits in. Rude and discourteous do not match with the meaning conveyed above.

Hence, option C is correct.

 The context is 'computation of effective rainfall'. The sequence is 2-5-3-1. Effective rainfall (varies) (2) - water supply cannot be planned (5) - nor can it be based on... (3) - therefore ... is computed on a probability basis (1). Sentence 4 does not fit into the theme as it is about factors affecting irrigation efficiency and not about computation of effective rainfall.

The correct sequence is 2431.
Statement 2 is the opening statement as it introduces the topic of eggs. '2-4' make a link as 'they' in 4 with respect to perfect packaging refers to 'eggs' in 2. This is followed by statement 3 which talks about the nutritional benefits of eggs and 1 extends further support to it.

On reading all sentences, we can infer that the topic here is an advice to the government. Thus, 3 is the opening statement. Since sentence 3 mentions civilian promotions, it should be followed by sentence 5, where "It" refers to the government. This is to be followed by sentence 1 as it describes the current practice in the army. Sentence 4 refers to civil servants who should be retained and sentence 2 refers to the ones who should be retired. Hence, 2 must follow 4.

The correct sequence is 4132.
Sentence 4 is the best sentence to start the paragraph as it introduces the idea of excessive use of smartphones. This is followed by 1 which further talks about the problem mentioned. Sentence 3 extends support to 1 as it talks about the effects of the problem discussed earlier. Sentence 2 concludes the paragraph by giving the example in support of the effects of problematic usage of smartphones.