IBPS PO Prelims 3 oct 2020 Questions and Answers Detailed Explanation

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Study the following information carefully and answer the questions given below.

In the table, percentage of shirts (formal and casual) sold out of the total number of shirts sold in the week and number of casual shirts sold data related to the number of shirts sold on ve week days – Monday, Tuesday, Wednesday, Thursday and Friday are given.

Total number of shirts sold in the week = x

Day Percentage of total shirts sold Number of casual shirts sold
Monday 14% 32
Tuesday 16% 24
Wednesday 12% 28
Thursday 22% 56
Friday 18% 20

Note: Total number of shirts sold on Saturday and Sunday together = 72

[IBPS PO Prelims 2020]

The following question based on IBPS PO topic of previous year question answers

Questions : What is the average number of total shirts sold on Wednesday, Friday, Saturday and Sunday together?

(a) 64

(b) 24

(c) 36

(d) 48

e) None of these

The correct answers to the above question in:

Answer: (d)

Total number of shirts sold on weekdays

= (14 + 16 + 12 + 22 + 18)% of x

= 82% of x

Total number of shirts sold on weekends

= (100 – 82)% of x

= 18% of x

According to the question

18% of x = 72

⇒ x = 400

Number of formal shirts sold = Total number of shirts sold – Number of casual shirts sold

Day Percentage of total shirts sold Total number of casual shirts sold Number of formal shirts sold
Monday 14% 32 24
Tuesday 16% 24 40
Wednesday 12% 28 20
Thursday 22% 56 32
Friday 18% 20 52

The average number of total shirts sold on Wednesday, Friday, Saturday and Sunday together

=$\text"(28+20) + (20+52) + 72"/4$ = 48

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Read more ibps po prelims 3 oct 2020 Based Previous Year Questions and Answers

Question : 1

What is the sum of the formal shirts sold on Monday, Tuesday and Wednesday together?

a) 102

b) 168

c) 84

d) 64

e) None of these

Answer: (c)

Total number of shirts sold on weekdays

= (14 + 16 + 12 + 22 + 18)% of x

= 82% of x

Total number of shirts sold on weekends

= (100 – 82)% of x

= 18% of x

According to the question

18% of x = 72

⇒ x = 400

Number of formal shirts sold = Total number of shirts sold – Number of casual shirts sold

Day Percentage of total shirts sold Total number of casual shirts sold Number of formal shirts sold
Monday 14% 32 24
Tuesday 16% 24 40
Wednesday 12% 28 20
Thursday 22% 56 32
Friday 18% 20 52

The sum of the formal shirts sold on Monday, Tuesday and Wednesday together

= 24 + 40 + 20 = 84

Question : 2

What is the ratio of the number of casual shirts sold on Monday and Wednesday together and a number of formal shirts sold on Tuesday and Thursday together?

a) 4 : 3

b) 3 : 4

c) 5 : 3

d) 6 : 5

e) None of these

 Answer: (e)

Total number of shirts sold on weekdays

= (14 + 16 + 12 + 22 + 18)% of x

= 82% of x

Total number of shirts sold on weekends

= (100 – 82)% of x

= 18% of x

According to the question

18% of x = 72

⇒ x = 400

Number of formal shirts sold = Total number of shirts sold – Number of casual shirts sold

Day Percentage of total shirts sold Total number of casual shirts sold Number of formal shirts sold
Monday 14% 32 24
Tuesday 16% 24 40
Wednesday 12% 28 20
Thursday 22% 56 32
Friday 18% 20 52

The number of casual shirts sold on Monday and Wednesday together

= 32 + 28 = 60

The number of formal shirts sold on Tuesday and Thursday together

= 40 + 32 = 72

Hence, the required ratio = 60 : 72

= 5 : 6

Question : 3

40% of casual shirts sold and 25% of formal shirts sold on Friday of brand X, then the number of shirts sold of brands other than X on Friday is

a) 21

b) 31

c) 41

d) 51

e) None of these

Answer: (d)

Total number of shirts sold on weekdays

= (14 + 16 + 12 + 22 + 18)% of x

= 82% of x

Total number of shirts sold on weekends

= (100 – 82)% of x

= 18% of x

According to the question

18% of x = 72

⇒ x = 400

Number of formal shirts sold = Total number of shirts sold – Number of casual shirts sold

Day Percentage of total shirts sold Total number of casual shirts sold Number of formal shirts sold
Monday 14% 32 24
Tuesday 16% 24 40
Wednesday 12% 28 20
Thursday 22% 56 32
Friday 18% 20 52

The number of shirts sold of brand X on Friday

= 40% of 20 + 25% of 52

= 8 + 13 = 21

Hence, the required number of shirts sold

= (20 + 52) – 21

= 72 – 21 = 51.

Question : 4

A person invests a certain amount on simple interest. After 8 years he gets 16% interest. If he invests the same sum for 4 years, then he gets Rs. 9600 as interest, then the sum is

a) Rs. 96000

b) Rs. 80000

c) Rs. 48000

d) Rs. 60000

e) None of these

Answer: (e)

In 8 years, he gets 16% as interest, then

In 4 years, he will get = 8% as interest

According to question

8% ≡ Rs. 9600

⇒ 1% ≡ Rs. 1200

⇒ 100% ≡ Rs. 120000

Hence, the sum = 100% ≡ Rs. 120000.

Question : 5

Running at the speed of 3 km/hr, a person reaches his destination 10 minutes later than usual time. if he increases his speed by 1 km/hr, he reaches his destination 15 min earlier. nd the distance to his destination.

a)  10 km

b) 12 km

c) 5 km 

d) 4 km

e) None of these

Answer: (c)

Let the distance to his destination be d km, then

According to question we get,

$d/3$ – $d/(3+1) = \text"10+15"/60$

⇒$d/3$ – $d/4 = 5/12$

⇒$d/12 = 5/12$

⇒ d = 5

Hence, the distance to his destination = d = 5 km

Question : 6

4 years hence, the ratio of ages A and B will be 5 : 7 and 6 years hence, the ratio of ages will be 11 : 15, then nd their present ages.

a) 20 years, 26 years

b) 16 years, 24 years

c) 18 years, 28 years

d) 12 years, 18 years

e) None of these

Answer: (b)

Let the present ages of A and B be a years and b years, then

According to question

$\text"a+4"/5=\text"b+4"/7$

⇒ 7a – 5b = –8 …. (i)

And

$\text"a+6"/11=\text"b+6"/15$

⇒ 15a – 11b = –24 …. (ii)

On solving equations (i) and (ii), we get

a = 16 and b = 24

Hence, the ages of A and B will be 16 years and 24 years respectively.

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IBPS PO Prelims 3 oct 2020

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