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SBI PO Prelims Mock Test - 2 - Bank Exams MCQ


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30 Questions MCQ Test - SBI PO Prelims Mock Test - 2

SBI PO Prelims Mock Test - 2 for Bank Exams 2024 is part of Bank Exams preparation. The SBI PO Prelims Mock Test - 2 questions and answers have been prepared according to the Bank Exams exam syllabus.The SBI PO Prelims Mock Test - 2 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 - 2 below.
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SBI PO Prelims Mock Test - 2 - Question 1
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Two pipes A and B can separately fill a cistern in 60 minutes and 75 minutes respectively. There is a third pipe in the bottom of the cistern to empty it. If all the three pipes are simultaneously opened, then the cistern is full in 50 minutes. In how much time, the third pipe alone can empty the cistern?

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

Work done by the third pipe in 1 min. =

1/50 - [1/60+ 1/75] = [ 1/50 - 3/100] = 1/100

Therefore, the third pipe alone can empty the cistern in 100 min.

SBI PO Prelims Mock Test - 2 - Question 2
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What will be the ratio of simple interest earned by certain amount at the same rate of interest for 6 years and that for 9 years?

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

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SBI PO Prelims Mock Test - 2 - Question 3
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When any number is divided by 12, then dividend becomes 1/4th of the other number. By how much percent first number is greater than the second number?

Detailed Solution for SBI PO Prelims Mock Test - 2 - Question 3

So, required percentage = [   x 100 ]%

SBI PO Prelims Mock Test - 2 - Question 4
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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 - 2 - Question 4

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 - 2 - Question 5
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Which of the following numbers is divisible by 24?
Detailed Solution for SBI PO Prelims Mock Test - 2 - Question 5

24 = 3 × 8, where 3 and 8 are co-primes.
Clearly, 35718 is not divisible by 8, as 718 is not divisible by 8 Similarly, 63810 is not divisible by 8 and 537804 is not divisible by 8. Consider part (d)
Sum of digits = (3 + 1 + 2 + 5 + 7 + 3 + 6) = 27, which is divisible by 3. Also, 736 is divisibly by 8. So, 3125736 is divisible by (3 × 8), i.e. 24.

SBI PO Prelims Mock Test - 2 - Question 6
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The average weight of A, B and C is 45 kg. If the average weight of A and B be 40 kg and that of B and C be 43 kg, then the weight of B is:  
Detailed Solution for SBI PO Prelims Mock Test - 2 - Question 6

Let A, B, C represent their respective weights. Then, we have:
A + B + C = (45 x 3) = 135 .... (i)
A + B = (40 x 2) = 80 .... (ii)
B + C = (43 x 2) = 86 ....(iii)
Adding (ii) and (iii), we get: A + 2B + C = 166 .... (iv)
Subtracting (i) from (iv), we get : B = 31.
B's weight = 31 kg.

SBI PO Prelims Mock Test - 2 - Question 7
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The maximum numbers of students among them 1001 pens and 910 pencils can be distributed in such a way that each student gets the same number of pens and same number of pencils is
Detailed Solution for SBI PO Prelims Mock Test - 2 - Question 7

Required number of students = HCF of 1001 and 910 = 91

SBI PO Prelims Mock Test - 2 - Question 8
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In how many ways can a group of 5 men and 2 women be made out of a total of 7 men and 3 women?  
Detailed Solution for SBI PO Prelims Mock Test - 2 - Question 8

Required number of ways = (7C5 x 3C2) = (7C2 x 3C1) = 

SBI PO Prelims Mock Test - 2 - Question 9
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A card is drawn from a pack of 52 cards. The probability of getting a queen of club or a king of heart is:  
Detailed Solution for SBI PO Prelims Mock Test - 2 - Question 9

SBI PO Prelims Mock Test - 2 - Question 10
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Ayesha’s father was 38 years of age when she was born while her mother was 36 years old when her brother four years younger to her was born. What is the difference between the ages of her parents?  
Detailed Solution for SBI PO Prelims Mock Test - 2 - Question 10

Mother’s age when Ayesha’s brother was born = 36 years
Father’s age when Ayesha’s brother was born = (38 + 4) years
= 42 years
Required difference = (42-36) = 6 years

SBI PO Prelims Mock Test - 2 - Question 11
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Samant bought a microwave oven and paid 10% less than the original price. He sold it with 30% profit on the price he had paid. What percentage of profit did Samant earn on the original price?   
Detailed Solution for SBI PO Prelims Mock Test - 2 - Question 11

Let the original price = Rs.100
Then, C.P. = Rs.90 S.P. = 130% of Rs.90 = Rs.[130/100 × 90] = Rs.117
Required percentage = (117-100)% = 17%

SBI PO Prelims Mock Test - 2 - Question 12
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The sum of n terms of the series, where n is an even number :
12 - 22 + 32 - 42 + 52 - 62 + …. :
Detailed Solution for SBI PO Prelims Mock Test - 2 - Question 12

12 - 22 + 32 - 42 + 52 - 62 + 72 - 82 + ….
= (1 -2) (1 + 2) + (3 -4) (3 + 4) + (5 -6) (5 + 6) + (7 + 8) (7 -8) + ….
= -(1 + 2) -(3 + 4) -(5 + 6) ….
= -[(1 + 2) + (3 + 4) + (5 + 6) + ….]
= -[1 + 2 + 3 + 4 + 5 + 6 + ….] = -

SBI PO Prelims Mock Test - 2 - Question 13
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Detailed Solution for SBI PO Prelims Mock Test - 2 - Question 13

6 × 24 = 6 + 24 +  
= 30 + 
= 30 + 12
= 42

SBI PO Prelims Mock Test - 2 - Question 14
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A person has to cover a distance of 6 km in 45 minutes. If he covers one-half of the distance in two-thirds of the total time; to cover the remaining distance in the remaining time, his speed (in Km/hr) must be  
Detailed Solution for SBI PO Prelims Mock Test - 2 - Question 14

Remaining distance = 3 km./hr.
Remaining time = [1/3 × 45] min
= 15 min
=1/4
Required speed = (3 × 4) km./hr.
= 12 km./hr.

SBI PO Prelims Mock Test - 2 - Question 15
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A can finish a work in 18 days and B can do the same work in 15 days. B worked for 10 days and left the job. In how many days, A alone can finish the remaining work?  
Detailed Solution for SBI PO Prelims Mock Test - 2 - Question 15

SBI PO Prelims Mock Test - 2 - Question 16
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In ΔABC, B =π/3 and C = π/3 . Let D divide BC internally in the ratio 1 : 3, then    
Detailed Solution for SBI PO Prelims Mock Test - 2 - Question 16


From ΔABD,
BD/sin (∠BAD) = AD/sin (π/3) … (1)
From ΔACD,
DC/sin (∠CAD) = AD/sin (π/4) … (2)
Now, divide (1) by (2) and use BD/DC = 1/3
⇒ sin (∠BAD) / sin (∠CAD) = 

SBI PO Prelims Mock Test - 2 - Question 17
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Find the length of one side of a right triangle if the length of the hypotenuse is 15 inches and the length of the other side is 12 inches. 
Detailed Solution for SBI PO Prelims Mock Test - 2 - Question 17

Test the ratio of the lengths to see if it fits the 3n : 4n : 5n ratio.
? : 12 : 15 = ? : 4 (3) : 5 (3) Yes, it is a 3 - 4 - 5 triangle for n = 3
Calculate the third side 3n = 3 × 3 = 9
The length of the side is 9 inches.

SBI PO Prelims Mock Test - 2 - Question 18
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In one hour, a boat goes 11 km along the stream and 5 km against the stream. The speed of the boat in still water in ( km/hr) is   
Detailed Solution for SBI PO Prelims Mock Test - 2 - Question 18

Speed in still water = 1/2(11 + 5) km./hr.
= 8 km./hr.

SBI PO Prelims Mock Test - 2 - Question 19
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Directions(Q. 19-21) The following pie charts exhibit the distribution of the overseas tourist traffic from India. The two charts shows the tourist distribution by country and the age profiles of the tourists respectively.

 

 

Q. What percentage of Indian tourist went to either USA or UK?   
Detailed Solution for SBI PO Prelims Mock Test - 2 - Question 19

(40 + 10) = 50% (from first chart)

SBI PO Prelims Mock Test - 2 - Question 20
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The following pie charts exhibit the distribution of the overseas tourist traffic from India. The two charts shows the tourist distribution by country and the age profiles of the tourists respectively.

 

 

Q. The ratio of the number of Indian tourists that went to USA to the number of Indian tourists who were below 30 years of age is?   
Detailed Solution for SBI PO Prelims Mock Test - 2 - Question 20

40 : 15 = 8 : 3

SBI PO Prelims Mock Test - 2 - Question 21
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The following pie charts exhibit the distribution of the overseas tourist traffic from India. The two charts shows the tourist distribution by country and the age profiles of the tourists respectively.

 

 

Q. If amongst other countries, Switzerland accopunted for 25% of the Indian tourist traffic, and it is known from official Swiss records that a total of 25 lakh Indian tourists had gone to Switzerland during the year, then find the number of 30 – 39 year old Indian tourists who went abroad in that year?  
Detailed Solution for SBI PO Prelims Mock Test - 2 - Question 21

Tourist traffic from other countries to Swiz is 20% Amongst this 20%, 25% of traffic from India. So, 25% of 20% = 5% corresponds to the Indian traffic in Switzerland.
5% corresponds to Switzerland’s 25 lakh. Hence 15% will be 75 lakh.

SBI PO Prelims Mock Test - 2 - Question 22
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On 8th Feb 2005 it was Tuesday. What was the day of the week on 08th Feb 2004?
Detailed Solution for SBI PO Prelims Mock Test - 2 - Question 22

The year 2004 is a leap year. It has 2 odd days. So, the day on 8th Feb. 2004 is 2 days before the day on 8th Feb. 2005
Hence, this day is Sunday.

SBI PO Prelims Mock Test - 2 - Question 23
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The reflex angle between the hands of a clock at 10:25 is :
Detailed Solution for SBI PO Prelims Mock Test - 2 - Question 23

 Angle traced by hour hand in 125/12 hours = [(360/12) × (125/12)]° = 312(1/2)°
Angle traced by minute hand in 25 min. = [(360/60) × 25]° = 150°
So, reflex angle = 360° - [312(1/2) -150]° = 360° -162(1/2) ° = 197(1/2)°

SBI PO Prelims Mock Test - 2 - Question 24
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Find the ratio in which rice at Rs. 7.20 per kg be mixed with rice at Rs. 5.70 per kg to produce a mixture worth Rs. 6.30 per kg.   
Detailed Solution for SBI PO Prelims Mock Test - 2 - Question 24

                

So, required ratio = 60 : 90 = 2 : 3

SBI PO Prelims Mock Test - 2 - Question 25
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One pipe can fill a tank three times as fast as another pipe. If together the two pipes can fill the tank in 36 minutes, then the slower pipe alone will be able to fill the tank in    
Detailed Solution for SBI PO Prelims Mock Test - 2 - Question 25

Let the slower pipe alone fill the tank in x minutes. Then, faster pipes will fill it in  

 

SBI PO Prelims Mock Test - 2 - Question 26
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What will be the simple interest earned on an amount of Rs.16,800 in 9 months at the rate of 6(1/4) % p.a.?   
Detailed Solution for SBI PO Prelims Mock Test - 2 - Question 26

SBI PO Prelims Mock Test - 2 - Question 27
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The students appeared at an examination. One of them secured 9 marks more than the other and his marks was 56% of the sum of their marks. The marks obtained by them are :    
Detailed Solution for SBI PO Prelims Mock Test - 2 - Question 27

SBI PO Prelims Mock Test - 2 - Question 28
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What is the ratio of the area of larger square shaped plot to the area of the smaller square shaped plot?  
Detailed Solution for SBI PO Prelims Mock Test - 2 - Question 28

SBI PO Prelims Mock Test - 2 - Question 29
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The difference of the squares of two consecutive even integers is divisible by which of the following integers?
Detailed Solution for SBI PO Prelims Mock Test - 2 - Question 29

Let the two consecutive even integers be 2n and (2n + 2). Then (2n + 2)2 - (2n)2 = (2n + 2 + 2n) (2n + 2 - 2n)
= 2 (4n + 2) = 4 (2n + 1), which is divisible by 4.  

SBI PO Prelims Mock Test - 2 - Question 30
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If the average marks of three batches of 55, 60 and 45 students respectively is 50, 55, 60, then the average marks of all the students is:   
Detailed Solution for SBI PO Prelims Mock Test - 2 - Question 30

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