RBI OFFICER GRADE ‘B’ PHASE-I EXAM Held on : 06.03.2021 (Shift-I) (Part-II)

Total Questions: 50

31. In each of the following questions, there are two quantities I and II given. Read each question carefully and select the appropriate answer from the codes given below :

(1) Quantity–I > Quantity–II
(2) Quantity–I < Quantity–II
(3) Quantity–I ≥ Quantity–II
(4) Quantity–I ≤ Quantity–II
(5) Quantity–I = Quantity–II or relation cannot be established
Quantity–I :
Value of 15% of marked price:
A product is sold at a discount of 25% and still there is a gain of 20% on it. The cost price of the product is Rs. 525.

Quantity–II
Value of x :
(1.25 ÷ 0.5) + (17.98 ÷ 6.2) – (0.96 ÷ 0.8) = x

Correct Answer: (1)
Solution:
Quantity-I :
M.P. of article


Clearly, quantity I > quantity II

32. Study the above information carefully and answer the questions.

Quantity–I :
Value of x :
17 ½ % of 8100 + 25% of 248
= 35% of x

Quantity–II :
Value of y :
( 7 / 2⁻³ + 25% of 1544 ) × 5⁴
= 100 × y

Correct Answer: (1)
Solution:

Quantity-I :


Quantity-II :

33. Study the above information carefully and answer the questions.

Consider the following number series :

Quantity–I :
Value of x :
158, 119, 184, 93, 210, x
Quantity–II :
Value of y :
47, y, 115, 164, 231

Correct Answer: (2)
Solution:

Quantity-I :
The pattern is :
158 - (13 × 3) = 158 - 39 = 119
119 + (13 × 5) = 119 + 65 = 184
184 - (13 × 7) = 184 - 91 = 93
93 + (13 × 9) = 93 + 117 = 210
210 - (13 × 11) = 210 - 143 = 67 ⇒ x
Quantity-II :
The pattern is :
47 + 31 = 78 = y
78 + (31 + 6) = 115
115 + (37 + 12) = 164
164 + (49 + 18) = 231
Clearly x < y

34. In each of these questions, two equations I and II are given. Solve both the equations select the appropriate answer from the codes given below.

Give answer (1) if x > y
Give answer (2) if x ≥ y
Give answer (3) if x < y
Give answer (4) if x ≤ y
Give answer (5) if x = y or no relationship can be established between x and y
I. 2x² + 15x + 27 = 0
II. 3y² + 14y + 15 = 0

Correct Answer: (4)
Solution:

35. Study the above information carefully and answer the questions.

I. 5x² + 33x + 40 = 0
II. 2y² + 13y + 15 = 0

Correct Answer: (4)
Solution:

36. 4 men and 6 boys earn Rs. 1,600 in 5 days. 3 men and 7 boys earn Rs. 1,740 in 6 days. What is difference between the wages per day of a man and a boy?

Correct Answer: (2) Rs. 30
Solution:

(4 M + 6B)'s 1 day's earning

we have

37. The average salary of staff–X per month is Rs. 46000. The average salary of staff–Y per month is Rs. 11000. The average salary of the entire staff in the office is Rs. 12000 per month. What is the number of staff–Y in the office if the number of staff–X is 15?

Correct Answer: (3) 510
Solution:

38. A sum of money is to be distributed among A, B, C and D in the ratio 5 : 2 : 4 : 3. If C gets Rs. 2000 more than D, What is B’s share ?

Correct Answer: (1) Rs. 4000
Solution:

Let the shares of A, B, C

39. If selling price of an article is doubled, the profit trebles. Find the profit percent.

Correct Answer: (4) 100%
Solution:

Let, C.P. = Rs. x and S.P. = Rs. y
According to the question,

40. There are three consecutive odd perfect square numbers, whose sum is 7811. What is the biggest number ?

Correct Answer: (3) 2809
Solution:

Let smallest number be x².
∴ x² + (x + 2)² + (x + 4)² = 7811
⇒ x² + x² + 4 + 4x + x² + 16 + 8x = 7811
⇒ 3x² + 12x + 20 = 7811
⇒ 3x² + 12x - 7791 = 0
⇒ x² + 4x - 2597 = 0
⇒ x² + 53x - 49x - 2597 = 0
⇒ x (x + 53) - 49 (x + 53) = 0
⇒ (x + 53) (x - 49) = 0
⇒ x = -53 or + 49
Positive integer should be taken ∴ x = 49
Smallest number = 49 × 49 = 2401
Biggest number = (49 + 4)² = (53)² = 2809