SBI clerk prelims 22 Feb 2020 Questions and Answers Detailed Explanation
MOST IMPORTANT previous year question answers - 2 EXERCISES
The following question based on SBI clerk topic of previous year question answers
(a) 5 lit
(b) 38 lit
(c) 18 lit
(d) 30 lit
e) 10 lit
The correct answers to the above question in:
Answer: (e)
Let initial quantity of milk & water be 5x & 3x lit respectively
ATQ, $\text"5x+8"/\text"3x" = 11/5$
25x + 40 = 33x
⇒ x = 5
Required difference = 5x – 3x = 2x
= 10 lit
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Question : 1
Rs 6000 when invested at a certain rate at SI for 2 years, it fetches Rs 1200. If the same sum is invested at the same rate for a year compounded half-yearly then find compound interest.
a) Rs 615
b) Rs 600
c) Rs 1200
d) Rs 585
e) Rs 1260
Answer »Answer: (a)
Let rate of interest be R%
ATQ, 1200 = $\text"6000×R×2"/100$
R = 10%
Since compounding is done half-yearly, rate of interest = 5%
Effective rate of interest = 5 + 5 + $\text"5×5"/100$ = 10.25%
Required interest = $\text"6000×10.25×1"/100$ = Rs 615
Question : 2
A boat can cover 28 km downstream in 42 min. ratio of speed of boat in still water to speed of stream is 7 : 3. Find difference between time taken by boat to cover 60 km downstream & 40 km upstream.
a) 2.25 hr
b) 1 hr
c) 1.5 h
d) 0.4 hr
e) 0.9 hr
Answer »Answer: (b)
Let speed of the boat in still water & speed of the stream be 7x & 3x kmph respectively
ATQ, $28/\text"7x+3x" = 42/60$
x = 4
Required difference = $40/\text"7x−3x" − 60/\text"7x+3x"$
= $4/x$ = 1 hour
Question : 3
A & B entered into a business by investing total capital of Rs 17000. B withdraws Rs 1500 after 6 months and gets Rs 8100 as profit out of the total profit of Rs 19500 at the end of the year. Find the capital of B after 6 months from starting.
a) Rs 7000
b) Rs 9500
c) Rs 7500
d) Rs 6000
e)
Rs 6500
Answer »Answer: (d)
Let amount invested by A be Rs x
Profit ratio; A : B
= (x × 12) : (17000 – x) × 6 + (15500 – x) × 6
= 2x : (32500 – 2x)
ATQ, $\text"19500"/\text"32500−2x+2x" × (32500 − 2x)$ = 8100
32500 – 2x = 13500
x = Rs 9500
Required capital of B after 6 months
= 15500 – x = Rs 6000
Directions:
In each question two equations numbered (I) and (II) are given. You have to solve both the equations and mark appropriate answer.
Question : 4
I. x2 + 4x - 45 = 0 and II. y2 - 13y + 40 = 0
a) If x = y or no relation can be established
b) If x > y
c) If x < y
d) If x ≥ y
e) If x ≤ y
Answer »Answer: (e)
I. x2 + 9x – 5x – 45 = 0
x(x + 9) – 5(x + 9) = 0
(x – 5) (x + 9) = 0
x = 5, - 9
II. y2 – 5y – 8y + 40 = 0
y(y – 5) – 8(y – 5) = 0
(y – 5) (y – 8) = 0
Y= 5, 8
So, x ≤ y
Question : 5
I. 17x2 – 14x – 83 = - 80 and II. y2 = 2y + 35
a) If x = y or no relation can be established
b) If x > y
c) If x < y
d) If x ≥ y
e) If x ≤ y
Answer »Answer: (a)
I. 17x2 – 14x – 3 = 0
17x2 – 17x + 3x – 3 = 0
17x (x – 1) + 3(x – 1) = 0
(17x + 3) (x – 1) = 0
x = − 3 17 , 1
II. y2 – 2y – 35 = 0
y2 – 7y + 5y – 35 = 0
y(y −7) + 5(???? − 7) = 0
y = 7, - 5
So, no relation can be established
Question : 6
I. x2 = 81 and II. y2 = 64
a) If x = y or no relation can be established
b) If x > y
c) If x < y
d) If x ≥ y
e) If x ≤ y
Answer »Answer: (a)
I. x = ± 9
II. y = ± 8
So, no relation can be established
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