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Bank Exams Exam  >  Bank Exams Tests  >  Dena Bank PO Mock Test Series 2024  >  Dena Bank PO Mock Test - 6 - Bank Exams MCQ

Dena Bank PO Mock Test - 6 - Bank Exams MCQ


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30 Questions MCQ Test Dena Bank PO Mock Test Series 2024 - Dena Bank PO Mock Test - 6

Dena Bank PO Mock Test - 6 for Bank Exams 2024 is part of Dena Bank PO Mock Test Series 2024 preparation. The Dena Bank PO Mock Test - 6 questions and answers have been prepared according to the Bank Exams exam syllabus.The Dena Bank PO Mock Test - 6 MCQs are made for Bank Exams 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Dena Bank PO Mock Test - 6 below.
Solutions of Dena Bank PO Mock Test - 6 questions in English are available as part of our Dena Bank PO Mock Test Series 2024 for Bank Exams & Dena Bank PO Mock Test - 6 solutions in Hindi for Dena Bank PO Mock Test Series 2024 course. Download more important topics, notes, lectures and mock test series for Bank Exams Exam by signing up for free. Attempt Dena Bank PO Mock Test - 6 | 200 questions in 180 minutes | Mock test for Bank Exams preparation | Free important questions MCQ to study Dena Bank PO Mock Test Series 2024 for Bank Exams Exam | Download free PDF with solutions
Dena Bank PO Mock Test - 6 - Question 1
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In covering a distance of 30 km, Arun takes 2 hours more than Anil. If Arun doubles his speed, then he would take 1 hour less than Anil. What is Arun's speed?

Detailed Solution for Dena Bank PO Mock Test - 6 - Question 1

Let Anil takes x hrs.
⇒ Arun takes x+2

If Arun doubles the speed, he will take x-1 hrs
⇒ He needs 3 hours less.
∵ Double speed means half time.
∴ Half of the time required by Arun to cover 30 km = 3 hours

⇒ Time required by Arun to cover 30 km = 6 hour
Thus, Arun's speed = 30/6 = 5 km/h

Dena Bank PO Mock Test - 6 - Question 2
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A car travels first 160 km at 64 km/hr and the next 160 km at 80 km/hr. What is the average speed for the first 320 km of the tour?

Detailed Solution for Dena Bank PO Mock Test - 6 - Question 2

Total time taken = (160/64) + (160/80) = 9/2 hrs
∴ Average speed = 320 x (2/9) = 71.11 km/hr.

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Dena Bank PO Mock Test - 6 - Question 3
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Find the value of a/b + b/a, if a and b are the roots of the quadratic equation x2 + 8x + 4 = 0?

Detailed Solution for Dena Bank PO Mock Test - 6 - Question 3

Explanation:

a/b + b/a = (a2 + b2)/ab = (a2 + b2 + a + b)/ab 
= [(a + b)2 - 2ab]/ab
a + b = -8/1 = -8
ab = 4/1 = 4
Hence a/b + b/a = [(-8)2 - 2(4)]/4 = 56/4 = 14.

Dena Bank PO Mock Test - 6 - Question 4
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Detailed Solution for Dena Bank PO Mock Test - 6 - Question 4

Dena Bank PO Mock Test - 6 - Question 5
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Find the quadratic equations whose roots are the reciprocals of the roots of 2x2 + 5x + 3 = 0?
Detailed Solution for Dena Bank PO Mock Test - 6 - Question 5

Explanation:

The quadratic equation whose roots are reciprocal of 2x2 + 5x + 3 = 0 can be obtained by replacing x by 1/x.
Hence, 2(1/x)2 + 5(1/x) + 3 = 0
=> 3x2 + 5x + 2 = 0

Dena Bank PO Mock Test - 6 - Question 6
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A man could buy a certain number of notebooks for Rs.300. If each notebook cost is Rs.5 more, he could have bought 10 notebooks less for the same amount. Find the price of each notebook?
Detailed Solution for Dena Bank PO Mock Test - 6 - Question 6

Explanation:

Let the price of each note book be Rs.x.
Let the number of note books which can be brought for Rs.300 each at a price of Rs.x be y.
Hence xy = 300
=> y = 300/x 
(x + 5)(y - 10) = 300 => xy + 5y - 10x - 50 = xy
=>5(300/x) - 10x - 50 = 0 => -150 + x2 + 5x = 0
multiplying both sides by -1/10x
=> x2 + 15x - 10x - 150 = 0
=> x(x + 15) - 10(x + 15) = 0
=> x = 10 or -15
As x>0, x = 10.

Dena Bank PO Mock Test - 6 - Question 7
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I. a2 - 7a + 12 = 0,
II. b2 - 3b + 2 = 0 to solve both the equations to find the values of a and b?
Detailed Solution for Dena Bank PO Mock Test - 6 - Question 7

Explanation:

I.(a - 3)(a - 4) = 0
=> a = 3, 4


II. (b - 2)(b - 1) = 0
=> b = 1, 2
=> a > b

Dena Bank PO Mock Test - 6 - Question 8
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For which of the following years, the percentage rise/fall in production from the previous year is the maximum for Company Y?
Detailed Solution for Dena Bank PO Mock Test - 6 - Question 8

Percentage change (rise/fall) in the production of Company Y in comparison to the previous year, for different years are:

Hence, the maximum percentage rise/fall in the production of Company Y is for 1997

Dena Bank PO Mock Test - 6 - Question 9
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What is the ratio of the average production of Company X in the period 1998-2000 to the average production of Company Y in the same period?
Detailed Solution for Dena Bank PO Mock Test - 6 - Question 9

Dena Bank PO Mock Test - 6 - Question 10
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The average production for five years was maximum for which company?
Detailed Solution for Dena Bank PO Mock Test - 6 - Question 10

Dena Bank PO Mock Test - 6 - Question 11
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In which year was the percentage of production of Company Z to the production of Company Y the maximum?
Detailed Solution for Dena Bank PO Mock Test - 6 - Question 11

The percentages of production of Company Z to the production of Company Z for various years are:

Dena Bank PO Mock Test - 6 - Question 12
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What is the percentage increase in the production of Company Y from 1996 to 1999?
Detailed Solution for Dena Bank PO Mock Test - 6 - Question 12

Percentage increase in the production of Company Y from 1996 to 1999

Dena Bank PO Mock Test - 6 - Question 13
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What is the difference between the number of vehicles manufactured by Company Y in 2000 and 2001 ?
Detailed Solution for Dena Bank PO Mock Test - 6 - Question 13

Required difference = (128000 - 107000) = 21000.

Dena Bank PO Mock Test - 6 - Question 14
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What is the difference between the total productions of the two Companies in the given years ?
Detailed Solution for Dena Bank PO Mock Test - 6 - Question 14

From the line-graph it is clear that the productions of Company X in the years 1997, 1998, 1999, 2000, 2001 and 2002 are 119000, 99000, 141000, 78000, 120000 and 159000 and those of Company Y are 139000, 120000,100000, 128000, 107000 and 148000 respectively.

Total production of Company X from 1997 to 2002

    = 119000 + 99000 + 141000 + 78000 + 120000 + 159000

    = 716000.

and total production of Company Y from 1997 to 2002

    = 139000 + 120000 + 100000 + 128000 + 107000 + 148000

    = 742000.

Difference = (742000 - 716000) = 26000.

Dena Bank PO Mock Test - 6 - Question 15
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What is the average numbers of vehicles manufactured by Company X over the given period ? (rounded off to nearest integer)
Detailed Solution for Dena Bank PO Mock Test - 6 - Question 15

Dena Bank PO Mock Test - 6 - Question 16
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In which of the following years, the difference between the productions of Companies X and Y was the maximum among the given years ?
Detailed Solution for Dena Bank PO Mock Test - 6 - Question 16

The difference between the productions of Companies X and Y in various years are:

For 1997 (139000 - 119000) = 20000.

For 1998 (120000 - 99000) = 21000.

For 1999 (141000 - 100000) = 41000.

For 2000 (128000 - 78000) = 50000.

For 2001 (120000 - 107000) = 13000.

For 2002 (159000 - 148000) = 11000.

Clearly, maximum difference was in 2000.

Dena Bank PO Mock Test - 6 - Question 17
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The production of Company Y in 2000 was approximately what percent of the production of Company X in the same year ?
Detailed Solution for Dena Bank PO Mock Test - 6 - Question 17

Dena Bank PO Mock Test - 6 - Question 18
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A group of investigators took a fair sample of 1972 children from the general population and found that there are 1000 boys and 972 girls. If the investigators claim that their research is so accurate that the sex of a new bom child can be predicted based on the ratio of the sample of the population, then what is the expectation in terms of the probability that a new child bom will be a girl?
Detailed Solution for Dena Bank PO Mock Test - 6 - Question 18

972/1972 = 243/ 493.

Dena Bank PO Mock Test - 6 - Question 19
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A bag contains 6 red, 4 white and 8 blue balls. If three balls are drawn at random, find the probability that (i) all the three balls are of the same colour.
Detailed Solution for Dena Bank PO Mock Test - 6 - Question 19

The required probability would be given by: All are Red OR All are white OR All are Blue = (6/18) x (5/17) x (4/16) + (4/18) x (3/17) x (2/16) + (8/18) x (7/17)x (6/16) = 480/(18 x 17 x 16) 5/51 

Dena Bank PO Mock Test - 6 - Question 20
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12.5% of 350 * 8.4% of 250 = ?
Detailed Solution for Dena Bank PO Mock Test - 6 - Question 20

12.5% of 350 * 8.4% of 250 = 6.25 * 7 * 21 = 918.75

So Option D is correct

Dena Bank PO Mock Test - 6 - Question 21
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(331 + 19)*(15 – 11)*(37 + 13) = ?
Detailed Solution for Dena Bank PO Mock Test - 6 - Question 21

(331 + 19)*(15 – 11)*(37 + 13) = 350 * 4 * 50 = 70000

So Option B is correct

Dena Bank PO Mock Test - 6 - Question 22
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√((444)÷37 + 15 + 11 * (?)) = 7
Detailed Solution for Dena Bank PO Mock Test - 6 - Question 22

√((444)÷37 + 15 + 11 * (?)) = 7
12 + 15 + 11x = 49
11x + 27 = 49
x = 2

So Option C is correct

Dena Bank PO Mock Test - 6 - Question 23
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3/14 of 5/13 of 6/7 of 3822 = ?
Detailed Solution for Dena Bank PO Mock Test - 6 - Question 23

3/14 of 5/13 of 6/7 of 3822 = 3 * 5 * 6 * 3 = 270

So Option C is correct

Dena Bank PO Mock Test - 6 - Question 24
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69.69 – 51.54 + 73.65 = ? + 32.42
Detailed Solution for Dena Bank PO Mock Test - 6 - Question 24

69.69 – 51.54 = 18.15
18.15 + 73.65 = 91.80
91.80 – 32.42 = 59.38

So Option E is correct

Dena Bank PO Mock Test - 6 - Question 25
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If a pipe A can fill a tank 3 times faster than pipe B and takes 32 minutes less than pipe B to fill the tank. If both the pipes are opened simultaneously, then find the time taken to fill the tank?
Detailed Solution for Dena Bank PO Mock Test - 6 - Question 25

3x – x = 32
x = 16
1/16 + 1/48 = 4/48
Time taken to fill the tank = 48/4 = 12 minutes

Dena Bank PO Mock Test - 6 - Question 26
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Two pipes P and Q can fill a tank in 24 minutes and 27 minutes respectively. If both the pipes are opened simultaneously, after how much time should B be closed so that the tank is full in 8 minutes?
Detailed Solution for Dena Bank PO Mock Test - 6 - Question 26

Required time = y(1-(t/x)) = 27(1-(8/24))= 18 minutes

Dena Bank PO Mock Test - 6 - Question 27
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How many days did Bhawna take to complete his work?
I. Preeti correctly remembers that Bhawna took more than 4 days but less than 11 days to complete the work.
II. Kirti correctly remembers that Bhawna took more than 9 days but less than 15 days to complete the work.
Detailed Solution for Dena Bank PO Mock Test - 6 - Question 27

From I : 5 or 6 or 7 or 8 or 9 or 10 days From II : 10 or 11 or 12 or 13 or 14 days From both statements, only 10 is common in them, so Bhawna took 10 days which is predicted from bot statements.

Dena Bank PO Mock Test - 6 - Question 28
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What is A’s position from the right end in a row of 30 students?
I. A is third to the right of B, who is twelfth from the right end.
II. H is 14th from the right end of the row and there are eight students between H and A.
Detailed Solution for Dena Bank PO Mock Test - 6 - Question 28

From I : B is at 12th position from right, A is third to right of B, so A is 9th from right end.
From II : H is at 14th position from right, with 8 students in between A and H – it is not sure than A is left of H or right of H, so A’s position cant be predicted.

Dena Bank PO Mock Test - 6 - Question 29
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What is the code of ‘7’ in a certain code?
I. ‘734’ stands for ‘DH%’ and ‘348’ stands for ‘D*%’ in that code.
II. ‘127’ stands for ‘H*$’ and ‘375’ stands for ‘&@H’ in that code.
Detailed Solution for Dena Bank PO Mock Test - 6 - Question 29

Explanation: From I : code for ‘7’ is %
From II : code for ‘7’ is %
So it can be predicted from both alone.

Dena Bank PO Mock Test - 6 - Question 30
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How many floors does the building have (including ground floor)?
I. There are 3 families in the building and no two families live immediately above or below each other.
II. The area in which building is built has a rule that a building cannot have more than 4 floors (including ground floor).
Detailed Solution for Dena Bank PO Mock Test - 6 - Question 30

From I : Suppose 1 family stays on ground floor, then the other should be on 2nd floor, and then third family on 4th floor, or there can be any other arrangement such no two families are on adjacent floors.
From II : Maximum of 4 floors means that the building can have 0 or 1 or 2 or 3 or 4 floors.
But if both statements are combined, which says that there are 3 families and they do not stay on alternate floors and maximum can be 4 floors, it is predicted that there are 4 floors in this building

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