SBI PO 2019 Questions and Answers Detailed Explanation
MOST IMPORTANT previous year question answers - 1 EXERCISES
Directions:
In the following question, two equations are given in variables X and Y. You have to solve these equations and determine the relation between X and Y.
The following question based on SBI PO topic of previous year question answers
- A) (x + 1)2 = 122
- B) y 2 + 2y – 143 = 0
(a) X > Y
(b) X ≥ Y
(c) X < Y
(d) X ≤ Y
e) X = Y or No relation can be established
The correct answers to the above question in:
Answer: (e)
A) (x + 1)2 = 122
⇒ (x + 1)2 – 122 = 0
⇒ (x + 1 – 12)(x + 1 + 12) = 0
⇒ (x – 11)(x + 13) = 0
x = 11, –13
B) y 2 + 2y – 143 = 0
⇒ y 2 + 13y – 11y – 143 = 0
⇒ y(y + 13) – 11(y + 13) = 0
⇒ (y + 13)(y – 11) = 0
y = 11, – 13
So, no relation can be established.
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Read more sbi po prelims 2019 Based Previous Year Questions and Answers
Question : 1
- 6x2 + 5x + 1 = 0
- 4y2 + 4y + 1 = 0
a) If X > Y
b) If X < Y
c) If X ≥ Y
d) If X ≤ Y
e) If X = Y or no relation can be established
Answer »Answer: (c)
6x2 + 5x + 1 = 0
⇒ 6x2 + (3 + 2)x + 1 = 0
⇒ 3x(2x + 1) + (2x + 1) = 0
⇒ (3x + 1)(2x + 1) = 0
⇒ x = $–1/3$, $–1/2$
4y2 + 4y + 1 = 0
⇒4y2 + (2 + 2)y + 1 = 0
⇒ (2y + 1)2 = 0
⇒ y = $–1/2$
So, X ≥ Y
Question : 2
- x 2 – 16x + 64 = 0
- Y 2 = 64
a) If X > Y
b) If X < Y
c) If X ≥ Y
d) . If X ≤ Y
e) If X=Y or No relation can be established
Answer »Answer: (c)
x 2 – 16x + 64 = 0
⇒ (x – 8)2 =0
⇒ x = 8
Y 2 = 64
⇒ Y = ± 8
So, X ≥ Y
Directions:
What approximate value will come in place of the question mark (?) in the following question? (You are not expected to calculate the exact value)
Question : 3
8.02 – (? – 9.01) + (10.92)2 = 120
a) 0
b) 18
c) 21
d) 24
e) 23
Answer »Answer: (b)
8.02 – (? – 9.01) + (10.92)2 = 120
⇒ 8 – ? + 9 + (11)2 = 120
⇒ 8 – ? + 9 + 121 = 120
⇒ ? = 138 – 120
⇒ ? = 18
Question : 4
- A) x 2 – 7x + 12 = 0
- B ) y 2 – 9y + 20 = 0
a) X > Y
b) X ≥ Y
c) X < Y
d) X ≤ Y
e) X = Y or No relation can be established
Answer »Answer: (d)
A) x 2 – 7x + 12 = 0
⇒ x(x – 4) – 3(x – 4) = 0
⇒ (x – 4)(x – 3) = 0
So, x = 3, 4
B ) y 2 – 9y + 20 = 0
⇒ y(y – 5) – 4(x – 5) = 0
⇒ (y – 5)(y – 4) = 0
So, y= 4, 5
Hence, X ≤ Y
Question : 5
- A) 5x + 2y = 31
- B) 3x + 7y = 36
a) X > Y
b) X ≥ Y
c) X < Y
d) X ≤ Y
e) X = Y or No relation can be established
Answer »Answer: (a)
A) (5x + 2y = 31) × 3
B) (3x + 7y = 36) × 5
15x + 6y = 93 ..... (i)
15x+35y= 180 .... (ii)
On solving both equations,
we get x = 5 and y = 3
so, X > Y
Directions:
Read the sentence to find out whether there is an error in it. The error, if any, will be in one part of the sentence. The number corresponding to that part will be your answer. If the given sentence is correct as it is, mark the answer as 'No error'. Ignore the errors of punctuation, if any.
Question : 6
Home to some of (1)/ the finest museums and (2)/ art galleries in UAE, (3)/ Sharjah is a cultural oasis. (4)
a) 1
b) 2
c) 3
d) 4
e) No Error
Answer »Answer: (e)
The sentence is grammatically and contextually correct.
So, the correct answer is option E.
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