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SBI PO Prelims Mock Test - 8 - Bank Exams MCQ


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30 Questions MCQ Test - SBI PO Prelims Mock Test - 8

SBI PO Prelims Mock Test - 8 for Bank Exams 2024 is part of Bank Exams preparation. The SBI PO Prelims Mock Test - 8 questions and answers have been prepared according to the Bank Exams exam syllabus.The SBI PO Prelims Mock Test - 8 MCQs are made for Bank Exams 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for SBI PO Prelims Mock Test - 8 below.
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SBI PO Prelims Mock Test - 8 - Question 1
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F2, __, D8, C16, B32

Detailed Solution for SBI PO Prelims Mock Test - 8 - Question 1

The letters decrease by 1; the numbers are multiplied by 2.

SBI PO Prelims Mock Test - 8 - Question 2
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664, 332, 340, 170, ____, 89

Detailed Solution for SBI PO Prelims Mock Test - 8 - Question 2

This is an alternating division and addition series: First, divide by 2, and then add 8.

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SBI PO Prelims Mock Test - 8 - Question 3
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70, 71, 76, __, 81, 86, 70, 91

Detailed Solution for SBI PO Prelims Mock Test - 8 - Question 3

In this series, 5 is added to the previous number; the number 70 is inserted as every third number.

SBI PO Prelims Mock Test - 8 - Question 4
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8, 43, 11, 41, __, 39, 17
Detailed Solution for SBI PO Prelims Mock Test - 8 - Question 4

This is a simple alternating addition and subtraction series. The first series begins with 8 and adds 3; the second begins with 43 and subtracts 2

SBI PO Prelims Mock Test - 8 - Question 5
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In the following number series one number is wrong. Find out the wrong number.

16, 40, 100, 250, 630
Detailed Solution for SBI PO Prelims Mock Test - 8 - Question 5

16 * 5/2 = 40
40 * 5/2 = 250
250 * 5/2 = 625 not equal to 630

Hence there should be 625 in place of 7630

SBI PO Prelims Mock Test - 8 - Question 6
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The ages of Anshu, Bharti and Charita together are 57 years. Bharti is thrice as old as Anshu and Charita is 12 years older than Anshu. Then, the respective age of Anshu, Bharti and Charita is:
Detailed Solution for SBI PO Prelims Mock Test - 8 - Question 6

Let the age of Anshu be x years

Bharti’s age = 3x

Charita’s age = x + 12

x + 3x + x + 12 = 57

or, 5x + 12 = 57

x = 9

Anshu, Bharti and Charita’s age are 9, 27, 21 years

SBI PO Prelims Mock Test - 8 - Question 7
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In a triangle, two sides of 4 cm and 3 cm are at right angle. If the triangle is revolved along the 4 cm side, the curved surface area of the cone so formed will be
Detailed Solution for SBI PO Prelims Mock Test - 8 - Question 7

Radius of formed cone = 4 cm

Slant height = 5 cm

Surface area of formed cone = πrl = 22/7 * 4 * 5 = 62.8 cm2

SBI PO Prelims Mock Test - 8 - Question 8
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How many kg of pure salt must be added to 40 kg of 4% solution of salt and water to increase it to 12% solution?
Detailed Solution for SBI PO Prelims Mock Test - 8 - Question 8

Amount of salt in 40 kg of solution = 4/100 * 40 = 1.6 kg

Let x kg of pure salt be added.

Then, (1.6 + x)/ (40 + x) = 12/100

160 + 100x = 480 + 12x

88x = 320

x = 3.64 kg

SBI PO Prelims Mock Test - 8 - Question 9
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Excluding stoppages, the speed of a bus is 54 kmph and including stoppages, it is 36 kmph. For how many minutes does the bus stop per hour?
Detailed Solution for SBI PO Prelims Mock Test - 8 - Question 9

Time stopage rest per hour

Difference of speed/ Speed without stoppage = 60 minute

Now, 54-36/36 * 60 = 30 min per hour

SBI PO Prelims Mock Test - 8 - Question 10
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A man was engaged on a job for 40 days on the condition that he will get a wage of Rs. 180 for the day he works, but he will have to pay a fine of Rs. 20 for each day of his absence. If he gets Rs. 5200 at the end of the month, then, he was absent for how many days?
Detailed Solution for SBI PO Prelims Mock Test - 8 - Question 10

Let the number of days he was absent be x days.

180 (40 – x) – 20 x = 5200

7200 – 180x – 20x = 5200

7200 – 200x = 5200

x = 2000/20 = 10 days

SBI PO Prelims Mock Test - 8 - Question 11
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Directions : The following pie-chart shows the sources of funds (in crores) to be collected by a company. Study the pie-chart and answers the question that follow
 

If company could receive a total of Rs. 9695 crores as External Assistance, by what percent (approximately) should it increase the Market Borrowing to arrange for the shortage of funds?
Detailed Solution for SBI PO Prelims Mock Test - 8 - Question 11

New funds = 11486 - 9695
= Rs. 1791 crores
Increase in requirement of market borrowing is 1791 crore

Now, 1791 crore is what percent of Market Borrowing  =[(1791)/(29952)]∗100%=5.98%=6% (approx) 

SBI PO Prelims Mock Test - 8 - Question 12
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Directions : The following pie-chart shows the sources of funds (in crores) to be collected by a company. Study the pie-chart and answers the question that follow

Q. Near about 20% of the funds are to be arranged through ?
Detailed Solution for SBI PO Prelims Mock Test - 8 - Question 12

Total funds are = 29952+11486+5252+4910+6000
= 57600 crore
Now 20% of 57600 = 20/100 * 576000
= 11520 crore
Which is approximately equal to External Assistance

SBI PO Prelims Mock Test - 8 - Question 13
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Directions : The following pie-chart shows the sources of funds (in crores) to be collected by a company. Study the pie-chart and answers the question that follow

Q. The central angle corresponding to Market Borrowing is ?
Detailed Solution for SBI PO Prelims Mock Test - 8 - Question 13

Central angle corresponding to Market Borrowing

[(29952/57600)]∗360=187.2 degree

SBI PO Prelims Mock Test - 8 - Question 14
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Directions : The following pie-chart shows the sources of funds (in crores) to be collected by a company. Study the pie-chart and answers the question that follow

Q. If the toll is to be collected through an outsourced agency by allowing a maximum 10% commission, how much amount should be permitted to be collected by the outsourced agency, so that the project is supported with Rs. 4,910 crores?
Detailed Solution for SBI PO Prelims Mock Test - 8 - Question 14

Amount required = (Funds required from toll) + (10% of these funds)
= 4910 + 10% of (4910)
= 4910 + (10/100)*4910
= 4910 + 491
= 5401 crore 

SBI PO Prelims Mock Test - 8 - Question 15
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Directions : The following pie-chart shows the sources of funds (in crores) to be collected by a company. Study the pie-chart and answers the question that follow

Q. The approximate ratio of the funds to be arranged through Toll and that through Market Borrowing is ?
Detailed Solution for SBI PO Prelims Mock Test - 8 - Question 15

Required Ratio=4910/29952=1/6.1=1:6

SBI PO Prelims Mock Test - 8 - Question 16
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Directions: The following line graph gives the percentage of the number of candidates who qualified an examination out of the total number of candidates who appeared for the examination over a period of seven years from 1994 to 2000.

 Percentage of Candidates Qualified to Appeared in an Examination over the Years

Q. The difference between the percentages of candidates qualified to appear was maximum in which of the following pairs of years?
Detailed Solution for SBI PO Prelims Mock Test - 8 - Question 16

The differences between the percentages of candidates qualified to appeared for the give pairs of years are:

For 1994 and 1995 = 50 - 30 = 20.

For 1998 and 1999 = 80 - 80 = 0.

For 1994 and 1997 = 50 - 30 = 20.

For 1997 and 1998 = 80 - 50 = 30.

For 1999 and 2000 = 80 - 60 = 20.

Thus, the maximum difference is between the years 1997 and 1998.

SBI PO Prelims Mock Test - 8 - Question 17
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Directions: The following line graph gives the percentage of the number of candidates who qualified an examination out of the total number of candidates who appeared for the examination over a period of seven years from 1994 to 2000.

 Percentage of Candidates Qualified to Appeared in an Examination over the Years

Q. In which pair of years was the number of candidates qualified the same?
Detailed Solution for SBI PO Prelims Mock Test - 8 - Question 17

The graph gives the data for the percentage of candidates qualified to appeared and unless the absolute values of number of candidates qualified or candidates appeared is know we cannot compare the absolute values for any two years. Hence, the data is inadequate to solve this question.

SBI PO Prelims Mock Test - 8 - Question 18
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Directions: The following line graph gives the percentage of the number of candidates who qualified an examination out of the total number of candidates who appeared for the examination over a period of seven years from 1994 to 2000.

 Percentage of Candidates Qualified to Appeared in an Examination over the Years

Q. If the number of candidates qualified in 1998 was 21200, what was the number of candidates appeared in 1998?
Detailed Solution for SBI PO Prelims Mock Test - 8 - Question 18

The number of candidates appeared in 1998 be x.

Then, 80% of x = 21200

x = (21200 *100)/(80) = 26500( Required number)

SBI PO Prelims Mock Test - 8 - Question 19
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Directions: The following line graph gives the percentage of the number of candidates who qualified an examination out of the total number of candidates who appeared for the examination over a period of seven years from 1994 to 2000.

 Percentage of Candidates Qualified to Appeared in an Examination over the Years

Q. If the total number of candidates appeared in 1996 and 1997 together was 47400, then the total number of candidates qualified in these two years together was?
Detailed Solution for SBI PO Prelims Mock Test - 8 - Question 19

The total number of candidates qualified in 1996 and 1997 together, cannot be determined until we know at least, the number of candidates appeared in any one of the two years 1996 or 1997 or the percentage of candidates qualified to appeared in 1996 and 1997 together. Hence, the data is inadequate.

SBI PO Prelims Mock Test - 8 - Question 20
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Directions: The following line graph gives the percentage of the number of candidates who qualified an examination out of the total number of candidates who appeared for the examination over a period of seven years from 1994 to 2000.

 Percentage of Candidates Qualified to Appeared in an Examination over the Years

Q. The total number of candidates qualified in 1999 and 2000 together was 33500 and the number of candidates appeared in 1999 was 26500. What was the number of candidates in 2000?
Detailed Solution for SBI PO Prelims Mock Test - 8 - Question 20

The number of candidates qualified in 1999 = (80% of 26500) = 21200.

Number of candidates qualified in 2000 = ( 33500 - 21200 ) = 12300.

Let the number of candidates appeared in 2000 be x.

Then, 60% of x = 12300

x = ( 12300 x 100)/(60) = 20500.

SBI PO Prelims Mock Test - 8 - Question 21
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The average weight of four boys A, B, C, and D is 75 kg. The fifth boy E is included and the average weight decreases by 4 kg. A is replaced by F. The weight of F is 6 kg more than E. Average weight decreases because of the replacement of A and now the average weight is 72 kg. Find the weight of A.
Detailed Solution for SBI PO Prelims Mock Test - 8 - Question 21

Sum of the weight of A, B, C and D = 75 × 4 = 300 kg

and average weight of A, B, C, D and E = 71 kg

sum of the weight of A, B, C, D and E

= 71 × 5 = 355 kg

weight of E = 355 – 300 = 55 kg

weight of F = 55 + 6 = 61 kg

Now, average weight of F, B, C, D and E = 72 kg

Sum of the weight of F, B, C, D and E = 72 × 5 = 360 kg

B + C + D = 360 – 55 – 61 = 244 kg.

Weight of A = 300 – 244 = 56 kg.

SBI PO Prelims Mock Test - 8 - Question 22
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In 165 litres of mixtures of milk and water, water is only 28%. The milkman sold 40 litres of this mixture and then he added 30 litres of pure milk and 13 litres of pure water in the remaining mixture. What is the percentage of water in the final mixture?
Detailed Solution for SBI PO Prelims Mock Test - 8 - Question 22

Now, milkman sold 40 litre of mixture

So, remaining mixture = 165 – 40 = 125 litre

Quantity of water = 125 × 28/100 = 35 litre

Quantity of milk = 90 litre.

Now, milkman made new mixture in which

water = 35 + 13 = 48 litre

milk = 90 + 30 = 120 litre

Percentage of water in the new mixture

= 48/(48 + 120) * 100 = 28.57%

SBI PO Prelims Mock Test - 8 - Question 23
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Difference between the compound interest and the simple interest accrued on an amount of Rs. 18000 in two year is Rs. 405. What was the rate of interest?
Detailed Solution for SBI PO Prelims Mock Test - 8 - Question 23

Difference of CI and SI in 2 years = Pr2/(100)2

r2 = 15%

SBI PO Prelims Mock Test - 8 - Question 24
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Out of 5 women and 4 men, a committee of three members is to be formed in such a way that at least one member is woman. In how many different ways can this be done?
Detailed Solution for SBI PO Prelims Mock Test - 8 - Question 24

Total number of ways

= 5C1 × 4C2 + 5C2 × 4C1 +5C3

5 × 4*3/2 + 5*4/2 + 5*4*3/3*2

= 30 + 40 + 10 = 80 ways

SBI PO Prelims Mock Test - 8 - Question 25
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A box contains 2 black, 3 orange and 4 pink ribbons. If two ribbons are drawn at random. What is the probability that both are orange?
Detailed Solution for SBI PO Prelims Mock Test - 8 - Question 25

Required Probability = 3C2/9C2 = 1/12

SBI PO Prelims Mock Test - 8 - Question 26
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Directions: In each of these questions, two equations numbered I and II with variables x and y are given. You have to solve both the equations to find the value of x and y. Give answer:

I. 20x2 + 73x + 63 = 0 

II. 16y2 + 16y + 3 = 0
Detailed Solution for SBI PO Prelims Mock Test - 8 - Question 26

I. 20x2 + 45x + 28x + 63 = 0

(5x + 7) (4x + 9) = 0

x = -7/5, 9/4

II. 16y2 + 12y + 4y + 3 = 0

(4y +1) (4y +3) = 0

y = -1/4, -3/4

x < y

SBI PO Prelims Mock Test - 8 - Question 27
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Directions: In each of these questions, two equations numbered I and II with variables x and y are given. You have to solve both the equations to find the value of x and y. Give answer:

I. x2– 26x + 165 = 0 

II. y2 – 36y + 315 = 0
Detailed Solution for SBI PO Prelims Mock Test - 8 - Question 27

I. x2 – 15x – 11x + 165 = 0

or, (x – 11) (x – 15) = 0

or, x = 11, 15

II. y2 – 21y – 15y + 315 = 0

or, (y – 15) (y – 21) = 0

or, y = 15, 21

x ≤ y

SBI PO Prelims Mock Test - 8 - Question 28
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Directions: In each of these questions, two equations numbered I and II with variables x and y are given. You have to solve both the equations to find the value of x and y. Give answer:

I. 3x2– 32 x + 77 = 0 

II. 2y2 + 23y + 56 = 0
Detailed Solution for SBI PO Prelims Mock Test - 8 - Question 28

I. 3x2 – 21x – 11x + 77 = 0

or, (3x – 11) (x – 7) = 0

x = 11/3, 7

II. 2y2+ 16y + 7y + 56 = 0

or, (2y + 7) ( y + 8) = 0

y = -7/2,–8

x > y

SBI PO Prelims Mock Test - 8 - Question 29
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Directions: In each of these questions, two equations numbered I and II with variables x and y are given. You have to solve both the equations to find the value of x and y. Give answer:

I. 63x2 + 71x + 20 = 0 

II. 45y2 + 52y + 15 = 0
Detailed Solution for SBI PO Prelims Mock Test - 8 - Question 29

I. 63x2 + 35x + 36x + 20 = 0

(7x +4) (9x + 5) = 0

x = -4/7, -5/9

II. 45y2+ 27y + 25y + 15 = 0

(9y + 5) (5y + 3) = 0

y = -5/9, -3/5

No relationship between x and y exists

SBI PO Prelims Mock Test - 8 - Question 30
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Directions: In each of these questions, two equations numbered I and II with variables x and y are given. You have to solve both the equations to find the value of x and y. Give answer:

I. x2 + 16x + 63 = 0 

II. 6y2 – 37y + 52 = 0
Detailed Solution for SBI PO Prelims Mock Test - 8 - Question 30

I. x2 + 9x + 7x + 63 = 0

(x + 7) (x + 9) = 0

x = –7, –9

 

II. 6y2 – 24y – 13y + 52 = 0

(6y – 13) ( y – 4 ) = 0

y = 13/6, 4

x < y

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