IBPS RRB clerk 19 sep 2020 Questions and Answers Detailed Explanation

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Questions : The circumference of a circle is 2 cm more than the perimeter of the rectangle and the length of the rectangle is equal to the diameter of the circle. If the breadth of the rectangle is half of the diameter of the circle, what is the radius of the circle?

(a) 7 cm

(b) 2 cm

(c) 4 cm

(d) 14 cm

e) 21 cm

The correct answers to the above question in:

Answer: (a)

Let the radius of the circle = r cm, then

Length of the rectangle = Diameter of circle = 2r cm

The breadth of the rectangle = Half of the diameter of circle = r cm

According to question

Circumference of a circle – Perimeter of rectangle = 2 cm

2πr– 2(2r + r) = 2

⇒ πr – 3r = 1

⇒ r($22/7$ – 3) = 1

⇒ r = 7

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Read more ibps rrb clerk prelims 19 sep 2020 Based Previous Year Questions and Answers

Question : 1

The sum of the ages of A and B after 10 years would be 106 years. If the age of A, 6 years before is equal to the age of B, 16 years hence, then what is the present age of A?

a) 32 years

b) 48 years

c) 54 years

d) 62 years

e) 66 years

Answer: (c)

Let the present age of A = A years and present age of B = B years, then

(A + 10) + (B + 10) = 106

⇒ B = 106 – 10 – 10 – A = 86 – A …. (i)

According to question

A – 6 = B + 16 ⇒ B = A – 6 – 16 = A – 22 …. (ii)

From equations (i) and (ii), we get

86 – A = A – 22

⇒ 2A = 86 + 22

⇒ A = $108/2$ = 54.

Question : 2

A and B start a business by investing Rs. X and Rs. (X + 800) respectively. After 1 year, A earned a profit of Rs. 3200 out of the total profit of Rs. 6800, then what is the value of X?

a) 3200

b) 4000

c) 6400

d) 7200

e) 8000

Answer: (c)

As both A and B invested for the same time period, then

The ratio of their profit = Ratio of their investment

$X/3200 = \text"X + 800"/\text"6800 - 3200"$

$X/3200 = \text"X + 800"/\text"3600"$

⇒ 9X = 8(X + 800)

⇒ X = 8 × 800 = 6400

Question : 3

A boat travels upstream at the speed of 10 km/hr for t hours and downstream at the speed of 14 km/hr for 6 hours. If the distance travelled in downstream direction is 44 km more than that in upstream direction, then what is the value of t?

a) 7

b) 2

c) 3

d) 4

e) 6

Answer: (d)

Distance = Speed × Time

The distance travelled in downstream direction

= 14 × 6 = 84 km

The distance travelled in upstream direction

= 10 × t = 10t km

According to question

84 – 10t = 44

⇒ 10t = 84 – 44 = 40

⇒ t = $40/10$ = 4

Question : 4

Price of an article is marked up 50% above the cost price. If the discount offered in the article is Rs. 50 and the profit earned is also Rs. 50, what is the marked price of the article?

a) Rs. 200

b) Rs. 240

c) Rs. 300

d) Rs. 450

e) Rs. 600

Answer: (c)

Let the cost price of the article = Rs. 100x, then

Marked price of the article = 100x + 50% of 100x = Rs. 150x

The selling price of the article = Rs. (150x – 50)

According to question

Profit = SP – CP

50 = (150x – 50) – 100x

⇒ 50 = 50x – 50

⇒ 50x = 100

⇒ x = 2

Hence, the marked price of the article = Rs. 150x

= 150 × 2

= Rs. 300.

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