IBPS RRB PO Prelims 12 sep 2020 - Category wise Question and Answer Practice Test with Solutions & PDF
IBPS RRB PO PRACTICE TEST [1 - EXERCISES]
IBPS RRB PO Prelims 12 sep 2020
Directions:
Given below are two quantities named I and II. Based on the given information, you have to determine the relation between the two quantities. You should use the given data and your knowledge of Mathematics to choose among the possible answers.
Calculate quantity I and quantity II on the basis of the given information then compare them and answer the following questions accordingly.
Question : 71 [IBPS-RRB-PO-Prelims-2020]
- Quantity I:
- Present ages of A and B are in the ratio of 4: 5 respectively. Present ages of C and D are in the ratio of 5: 6 respectively. The present average age of A, B, C and D is 40 years and 6 months. Age of A after 2 years will be half the age of D 6 years hence. Find the present average age of B and C.
- Quantity II:
- 39 years
a) Quantity I > Quantity II
b) Quantity I < Quantity II
c) Quantity I ≥ Quantity II
d) Quantity I ≤ Quantity II
e) Quantity I = Quantity II or No relation
Answer »Answer: (b)
Quantity I:
Let the present ages of A and B are 4x and 5x years respectively and the present ages of C and D are 5y and 6y years respectively.
So, sum of the ages of A, B, C and D = 4x + 5x + 5y + 6y = 40.5 x 4
So, 9x + 11y = 162
Also given that,
2 x (4x+2) = 6y + 6
So, 4x – 3y = 1
From both the equation, we get,
x = 7 and y = 9
So, the present ages of A, B, C and D are 28, 35, 45 and 54 respectively.
The present average age of B and C = $\text"35 + 45"/2$ = 40 years
Quantity II: 39
Therefore, Quantity I > Quantity II
So option (a) is the correct answer.
Question : 72 [IBPS-RRB-PO-Prelims-2020]
- Quantity I:
- A man deposits Rs. 1600 in a bank at the rate of compound interest of 25% per annum compounded annually. What will be the interest earned by the man after 3 years?
- Quantity II:
- Rs. 1533
a) Quantity I > Quantity II
b) Quantity I < Quantity II
c) Quantity I ≥ Quantity II
d) Quantity I ≤ Quantity II
e) Quantity I = Quantity II or No relation
Answer »Answer: (b)
Quantity I:
Interest earned after 3 years
= 1600 x ${[(1 + 25/100)^3 - 1]}$
= 1600 x $61/64$ = Rs. 1525
Quantity II:
Rs. 1533
So, Quantity I < Quantity II
So option (B) is the correct answer.
Question : 73 [IBPS-RRB-PO-Prelims-2020]
- Quantity I:
- One tank is filled in 6 hours by three pipes A, B and C. The pipe C is twice as fast as B and B is twice as fast as A. How much time will pipe A alone take to ll the tank:
- Quantity II:
- 28 hrs
a) Quantity I Quantity II
b) Quantity I ≥ Quantity II
c) Quantity I > Quantity II
d) Quantity I ≤ Quantity II
e) No relation
Answer »Answer: (a)
Quantity I:
Suppose pipe A alone takes x hours to ll the tank.
Then, pipes B and C will take x/2 and x/4 hours respectively to ll the tank.
ATQ
$1/X+2/X+4/X=1/6$
$7/x=1/6$
X=42 hours.
Quantity II- 28 hrs
Question : 74 [IBPS-RRB-PO-Prelims-2020]
- Quantity I:
- The selling price of an article is Rs 450. If 20% of profit earned by selling the article, then the profit earned is
- Quantity II:
- The selling price of an article is Rs. 84. If 20% of profit earned by selling the article, then the east price of the article is
a) Quantity I > Quantity II
b) Quantity I < Quantity II
c) Quantity I ≥ Quantity II
d) Quantity I ≤ Quantity II
e) Quantity I = Quantity II or no relation can be established
Answer »Answer: (a)
Quantity I = $450/1.2$ × 0.2 = Rs. 75
Quantity II = $84/1.2$ = Rs. 70
Hence, Quantity I > Quantity II
Question : 75 [IBPS-RRB-PO-Prelims-2020]
- Quantity I:
- A certain sum is invested for 2 years at a rate of 12% simple interest. If the simple interest is Rs. 1200, then the principal is
- Quantity II:
- : Rs. 6000
a) Quantity I > Quantity I
b) Quantity I < Quantity II
c) Quantity I ≥ Quantity II
d) Quantity I ≤ Quantity II
e) Quantity I = Quantity II or no relation can be established
Answer »Answer: (b)
SI = $\text"PRT"/100$
1200 = $\text"P x 12 x 2"/100$
⇒ P = 5000
Quantity I = Rs. 5000
Quantity II = Rs. 6000
Hence, Quantity I < Quantity II
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