SBI clerk prelims 22 Feb 2020 Questions and Answers Detailed Explanation
MOST IMPORTANT previous year question answers - 2 EXERCISES
Directions:
In each question two equations numbered (I) and (II) are given. You have to solve both the equations and mark appropriate answer.
The following question based on SBI clerk topic of previous year question answers
(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
The correct answers to the above question in:
Answer: (a)
I. x = 5
II. y = 5
So, x=y
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Question : 1
I. x2 + 2x – 35 = 0 and II. y2 + 15y + 56 = 0
a) If x = y or no relation can be established
b) If x > y
c) If x < y
d)
e) If x ≤ y
Answer »Answer: (d)
I. x2 + 7x – 5x – 35 =0
x (x + 7) – 5 (x + 7) =0
(x + 7) (x – 5) = 0
x = −7, 5
II. y2 + 7y + 8y + 56 = 0
y(y + 7) + 8(y + 7) = 0
(y + 7) (y + 8) = 0
y = − 8, −7
So, x ≥ y
Question : 2
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
Question : 3
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 : 4
A person sold a book at 20% profit. If he had bought it at 10% less cost and sold for Rs 90 more then he would have gained 40% profit. Find cost price of book.
a) Rs 800
b) Rs 1600
c) Rs 1500
d) None of these
e) Rs 1200
Answer »Answer: (c)
let CP of book be Rs x
SP = Rs 1.2x
New CP = Rs 0.9x
New SP = Rs 1.2x + 90
ATQ, 0.9x × $140/100$ = 1.2x + 90
1.26x = 1.2x + 90
x = Rs 1500
Question : 5
Two trains of length 140m & 120m are running in same direction on parallel tracks with speeds 132 kmph & 80 kmph respectively. How much time will they take to cross each other?
a) 7.09 sec
b) 18 sec
c) 11.7 sec
d) 4.42 sec
e) Cannot be determined
Answer »Answer: (b)
Required time = $\text"140+120"/\text"(132−80)× 5/18"$
= $\text"260×18"/\text"52×5"$
= 18 sec
Question : 6
The ratio of the ages of Ram and Rahim 10 years ago was 1 : 3. The ratio of their ages five years hence will be 2 : 3. Then, the ratio of their present ages is :
a) 1 : 2
b) 3 : 5
c) 3 : 4
d) 2 : 5
e) None of these
Answer »Answer: (b)
Let 10 years ago, ages of Ram and Rahim were x years and 3x years, respectively.
Then, present age of Ram = (x + 10)
and present age of Rahim = (3x + 10)
According to the question,
$\text"x+10+5"/\text"3x+10+5" = 2/3$
⇒ 3x + 45 = 6x + 30
⇒ 3x = 15
∴ x = 5
Hence, required ratio = $\text"5+10"/\text"3×5+10"$
= $15/25$
= 3 : 5
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