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SBI PO Prelims Mock Test - 1 - Bank Exams MCQ


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30 Questions MCQ Test - SBI PO Prelims Mock Test - 1

SBI PO Prelims Mock Test - 1 for Bank Exams 2024 is part of Bank Exams preparation. The SBI PO Prelims Mock Test - 1 questions and answers have been prepared according to the Bank Exams exam syllabus.The SBI PO Prelims Mock Test - 1 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 - 1 below.
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SBI PO Prelims Mock Test - 1 - Question 1
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A sphere of 30 cm radius is dropped into a cylindrical vessel of 80 cm diameter, which is partly filled with water, then its level rises by x cm. Find x:

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

Thus, the level of water rises by 22.5 cm.
Note The volume of water will be calculated by considering it in the cylindrical shape since the water takes the shape of vessel in which it is filled.

SBI PO Prelims Mock Test - 1 - Question 2
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On dividing a number by 357, we get 39 as remainder. On dividing the same number by 17, what will be the remainder?

Detailed Solution for SBI PO Prelims Mock Test - 1 - Question 2

Let x be the number and y be the quotient. Then, x = 357 × y + 39
= (17 × 21 × y) + (17 × 2) + 5
= 17 × (21y + 2) + 5
So, required number = 5

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SBI PO Prelims Mock Test - 1 - Question 3
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After replacing an old member by a new member, it was found that the average age of five members of a club is the same as it was 3 years ago. What is the difference between the ages of the replaced and the new member? 

Detailed Solution for SBI PO Prelims Mock Test - 1 - Question 3

Age decreased = 5 × 3 years = 15 years
So, required difference = 15 years

SBI PO Prelims Mock Test - 1 - Question 4
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The LCM of two numbers is 495 and their HCF is 5. If the sum of the numbers is 100, then their difference is 
Detailed Solution for SBI PO Prelims Mock Test - 1 - Question 4

Let the numbers be x and (100-x)
Then, x (100-x) = 5 × 495  

x2-100x + 2475 = 0
(x-55) (x-45) = 0
x = 55 or x = 45
Therefore, the numbers are 45 and 55.
Required difference = (55-45) = 10

SBI PO Prelims Mock Test - 1 - Question 5
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A child has three different kinds of chocolates costing Rs.2, Rs.5 and Rs.10. He spends total Rs.120 on the chocolates. What is the minimum possible number of chocolates, he can buy, if there must be atleast one chocolate of each kind?
Detailed Solution for SBI PO Prelims Mock Test - 1 - Question 5

Minimum number of chocolates are possible when he purchases maximum number of
costliest chocolates.
Thus, 2 × 5 + 5 × 2 = Rs.20 Now, Rs.100 must be spend on 10 chocolates as 100 = 10 × 10 Thus, minimum number of chocolates = 5 + 2 + 10 = 17

SBI PO Prelims Mock Test - 1 - Question 6
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A, B, C rent a pasture. A puts 10 oxen for 7 months, B puts 12 oxen for 5 months and C puts 15 oxen for 3 months for grazing. If the rent of the pasture is Rs. 175, how much must C pay as his share of rent?
Detailed Solution for SBI PO Prelims Mock Test - 1 - Question 6

SBI PO Prelims Mock Test - 1 - Question 7
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A letter lock consists of 4 rings, each ring contains 9 non-zero digits. This lock can be opened by setting a 4 digit code with the proper combination of each of the 4 rings Maximum how many codes can be formed to open the lock?
Detailed Solution for SBI PO Prelims Mock Test - 1 - Question 7

9 × 9 × 9 × 9 =94

SBI PO Prelims Mock Test - 1 - Question 8
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A bag contains 6 black and 8 white balls. One ball is drawn at random. What is the probability that the ball drawn is white?
Detailed Solution for SBI PO Prelims Mock Test - 1 - Question 8

Let number of balls = (6 + 8) = 14
Number of white balls = 8
P (drawing a white ball) = 8/14 =4/7

SBI PO Prelims Mock Test - 1 - Question 9
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The ratio between the present ages of P and Q is 6 : 7. If Q is 4 years old than P, what will be the ratio of the ages of P and Q after 4 years?
Detailed Solution for SBI PO Prelims Mock Test - 1 - Question 9

Let P’s age and Q’s age be 6x years and 7x years respectively.Then 7x-6x ,x = 4
Required ratio = (6x + 4) : (7x + 4)
= 28 : 32
= 7 : 8

SBI PO Prelims Mock Test - 1 - Question 10
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I gain 70 paise on Rs.70. My gain percent is
Detailed Solution for SBI PO Prelims Mock Test - 1 - Question 10

SBI PO Prelims Mock Test - 1 - Question 11
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In an A.P. consisting of 23 terms, the sum of the three terms in the middle is 114 and that of the last three is 204. Find the sum of first three terms 
Detailed Solution for SBI PO Prelims Mock Test - 1 - Question 11

SBI PO Prelims Mock Test - 1 - Question 12
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Which one of the following numbers has rational square root?
Detailed Solution for SBI PO Prelims Mock Test - 1 - Question 12

=3/10, which is rational 

SBI PO Prelims Mock Test - 1 - Question 13
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The distance between two cities A and B is 330 Km. A train starts from A at 8 a.m. and travel towards B at 60 km/hr. Another train starts from B at 9 a.m and travels towards A at 75 Km/hr. At what time do they meet?
Detailed Solution for SBI PO Prelims Mock Test - 1 - Question 13

Suppose they meet x hrs. after 8 a.m. then
(Distance moved by first in x hrs.) + = 300
[Distance moved by second in (x-1) hrs.]
Therefore 60x + 75 (x-1) <=> 330
x = 3
So, they meet at (8 + 3) i.e. 11 a.m.

SBI PO Prelims Mock Test - 1 - Question 14
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10 women can complete a work in 7 days and 10 children take 14 days to complete the work. How many days will 5 women and 10 children take to complete the work?
Detailed Solution for SBI PO Prelims Mock Test - 1 - Question 14

SBI PO Prelims Mock Test - 1 - Question 15
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BH is perpendicular to AC. Find the length of BC.
Detailed Solution for SBI PO Prelims Mock Test - 1 - Question 15

BH perpendicular to AC means that triangles ABH and HBC are right triangles. Hence
tan (39°) = 11/AH or AH = 11/tan (39°)
HC = 19-AH = 19-11/tan (39°)
Pythagora’s theorem applied to right triangle HBC :112 + HC2 = x2  Solve for x and substitute HC : x = sqrt [112 + (19-11/ tan(39°)2 ] = 12.3

SBI PO Prelims Mock Test - 1 - Question 16
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Find the lengths of the other two sides of a right triangle if the length of the hypotenuse is 8 inches and one of the angles is 30°. 
Detailed Solution for SBI PO Prelims Mock Test - 1 - Question 16

This is a right triangle with a 30° angle so it must be a 30°-60°-90° triangle.
You are given that the hypotenuse is 8. Substituting 8 into the third value of the ratio n: n√3 :2n,
we get that 2n = 8 n = 4
Substituting n = 4 into the first and second value of the ratio we get that the other two sides are 4 and 4√3
The lengths of the two sides are 4 inches and 4√3 inches.

SBI PO Prelims Mock Test - 1 - Question 17
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A man takes 3 hours 45 minutes to row a boat 15 km downstream of a river and 2 hours 30 minutes to cover a distance of 5 km upstream. Find the speed of the river current in km/hr.
Detailed Solution for SBI PO Prelims Mock Test - 1 - Question 17

Let Speed of Boat and stream be b and s respectively.

We know:

15/(b+s)=15/4 ............Eqn 1 (From the downstream condition as distance/speed is equal to time)

Also 5/(b-s)=5/2 .............Eqn 2

Therefore, solving Eqn 1 and Eqn 2, we get:

b+s=4

b-s=2

Therefore, further solving gives b=3 and s=1

Hence, Solution is A.

SBI PO Prelims Mock Test - 1 - Question 18
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Directions (Q. 18-22) Study the following table and answer the questions.


Number of Candidates Appeared and Qualified in a Competitive Examination from Different States Over the Years.  

    

 

Q. Total number of candidates qualified from all the states together in 1997 is approximately what percentage of the total number of candidates qualified from all the states together in 1998?
Detailed Solution for SBI PO Prelims Mock Test - 1 - Question 18

SBI PO Prelims Mock Test - 1 - Question 19
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Number of Candidates Appeared and Qualified in a Competitive Examination from Different States Over the Years.  

   

 

Q. What is the average candidates who appeared from State Q during the given years?
Detailed Solution for SBI PO Prelims Mock Test - 1 - Question 19

SBI PO Prelims Mock Test - 1 - Question 20
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Number of Candidates Appeared and Qualified in a Competitive Examination from Different States Over the Years.  

 

Q. In which of the given years the number of candidates appeared from State P has maximum percentage of qualified candidates?
Detailed Solution for SBI PO Prelims Mock Test - 1 - Question 20

The percentages of candidates qualified to candidates appeared from State P during different years are :

Maximum percentage is for the year 2001.

SBI PO Prelims Mock Test - 1 - Question 21
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Number of Candidates Appeared and Qualified in a Competitive Examination from Different States Over the Years.  

 

Q. What is the percentage of candidates qualified from State N for all the years together, over the candidates appeared from State N during all the years together? 
Detailed Solution for SBI PO Prelims Mock Test - 1 - Question 21

SBI PO Prelims Mock Test - 1 - Question 22
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Number of Candidates Appeared and Qualified in a Competitive Examination from Different States Over the Years.  

 

Q. The percentage of total number of qualified candidates to the total number of appeared candidates among all the five states in 1999 is? 
Detailed Solution for SBI PO Prelims Mock Test - 1 - Question 22

SBI PO Prelims Mock Test - 1 - Question 23
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How many times are the hands of a clock at right angle in a day?
Detailed Solution for SBI PO Prelims Mock Test - 1 - Question 23

In 12 hours, they are at right angles 22 times.
So, in 24 hours, they are at right angles 44 times.

SBI PO Prelims Mock Test - 1 - Question 24
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Two vessels A and B contain milk and water mixed in the ratio 8 : 5 and 5 : 2 respectively. The ratio in which these two mixtures be mixed to get a new mixture containing 69 % milk is :  
Detailed Solution for SBI PO Prelims Mock Test - 1 - Question 24

SBI PO Prelims Mock Test - 1 - Question 25
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A tap can fill a tank in 6 hours. After half the tank is filled, three more similar taps are opened. What is the total time taken to fill the tank completely ?
Detailed Solution for SBI PO Prelims Mock Test - 1 - Question 25

Remaining part = [1 - 1/2]= 1/2

SBI PO Prelims Mock Test - 1 - Question 26
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How much time will it take for an amount of Rs.450 to yield Rs.81 as interest at 4.5% per annum of simple interest?
Detailed Solution for SBI PO Prelims Mock Test - 1 - Question 26

SBI PO Prelims Mock Test - 1 - Question 27
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If 20% of a = b, then b% of 20 is the same as 
Detailed Solution for SBI PO Prelims Mock Test - 1 - Question 27

SBI PO Prelims Mock Test - 1 - Question 28
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Which one of the following numbers will completely divide (461 + 462 + 463 + 464 ) ?
Detailed Solution for SBI PO Prelims Mock Test - 1 - Question 28

SBI PO Prelims Mock Test - 1 - Question 29
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The average of 20 numbers is zero. Of them, at the most, how many may be greater than zero?
Detailed Solution for SBI PO Prelims Mock Test - 1 - Question 29

Average of 20 numbers = 0.
Sum of 20 numbers (0 x 20) = 0.
It is quite possible that 19 of these numbers may be positive and if their sum is a then 20th number is (-a).

SBI PO Prelims Mock Test - 1 - Question 30
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Directions (Q.71-80) Read the following passage carefully and answer the questions given below it. Certain words have been printed in italic and Underline to help you to locate them while answering some of the questions.

Banking sector reforms in India were introduced in order to "improve" efficiency in the process of financial intermediation. It was expected that banks would take advantage of the changing operational environment and improve their performance. Towards this end, the Reserve Bank of India initiated a host of measures for the creation of a competitive environment. Deregulation of interest rates on both deposit and lending sides imparted freedom to banks to appropriate price their products and services. To compete effectively with non-banking entities, banks were permitted to undertake newer activities like investment banking, securities trading and insurance business.

This was facilitated through amendments in the "relevant" acts which permitted PSBs to raise equity from the market up to threshold limit and also enabling the entry of new private and foreign banks. This changing face of banking led to an erosion of margins on traditional banking business, promoting banks to search for newer activities to "augment" their free incomes.

At the same time, banks also needed to devote focused attention to operational efficiency in order to contain their transaction costs. Simultaneously with the deregulation measures prudential norms were instituted to strengthen the safety and soundness of the banking system. Recent internal empirical research found that over the period 1992-2003, there has been a discernible improvement in the efficiency of Indian banks. The increasing trend in efficiency has been fairly uniform, irrespective of the ownership pattern. The rate of such improvement has, however, not been sufficiently high. The analysis also "reveals" that PSBs and private sector banks in India did not differe significantly in terms of their efficiency measures. Foreign banks, on the other hand, recorded higher efficiency as compared with their Indian counterparts.

 

Q.Prudential norms were initiated in the banking sector with a view to   
Detailed Solution for SBI PO Prelims Mock Test - 1 - Question 30

Option C

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