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Quant practice set 13 for SBI PO PRELIM 2020


SBI Clerk and SBI PO Prelims exam are going to be held in the upcoming months. We have already provided you with the PDFs of many topics of Quantitative Aptitude like Simplification/Approximation, Number Series,datainterpretation.important Arithmetic questions to prepare for SBI Clerk and PO Pre exam. Practicing these questions will help you to know about the level of the questions. To increase your speed and accuracy, enhance your calculations.

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1.Directions (Q.1– Q.5) The following table shows the percentage of people who are literate, ratio literate males to females and ratio of illiterate males to illiterate females in states A, B, C, D and E.
What is the total population of state B if total number of literate females in the state are 12100?
1.  85000
2.  55000
3.  48000
4.  78000

5.  100000

2.What is the total number of illiterate males in state A and state C if their population is 1.5 lakhs and 2.2 lakhs respectively?
1.  48400
2.  47500
3.  49800
4.  47600
5.  48200

3.What is the total population of state D if the number of the illiterate males in the state are 36000?
1.  1 lakhs
2.  2 lakhs
3.  5 lakhs
4.  3 lakhs
5.  6 lakhs

4.Adding to the information given in question no 8, the total number of literate females in state E are 29400. Then, the population of state E is how much percent less than the population of state D?
1.  50%
2.  160/3%
3.  185/3%
4.  175/3%
5.  60%

5.If the population of state A is thrice as much as D, the number of literate people in state D are how much percent less than the number of literate people in state A ?
1.  490/9%
2.  570/9%
3.  550/9%
4.  650/9%
5.  None of these

6.In these questions a number series is given. In each series one number is wrong. Find out the wrong number.
6, 8, 12, 31, 118.

1.  31
2.  8
3.  6
4.  12
5.  118

7.
355, 319, 294, 265, 247.
1.  265
2.  355
3.  247
4.  294

5.  319

8.
2x2 – 15x + 27 = 0
5y2  – 18y – 35 = 0

1.  x < y
2.  x ≤ y
3.  x ≥ y
4.  Relationship between x and y cannot be determined
5.  x > y

9.
x2 + 16x + 55 = 0
2y2 + 9y + 10 = 0

1.  x > y
2.  x ≤ y
3.  y > x
4.  x ≥ y
5.  relationship between x and y cannot be established.

10.What approximate value should come in place of question mark in the following question?
39.005 × 21.889 – 11.945 × 6.003 = 130.909 × ?

1.  6
2.  8
3.  12
4.  4
5.  9


SOLUTIONS:


1.Answer- 2) 55000
Explanation:
Total number of literate people in state B = 12100/11 × 29 = 31900
Therefore, the total population of the state = 31900/58 × 100 = 55000

2.Answer- 5) 48200
Explanation- Total number of illiterate people in state A = 34% of 1.5 lakhs = 51000
Number of illiterate males in state A = 51000/17 × 8 = 24000
Total number of illiterate people in state C = 25% of 2.2 lakhs = 55000
Total number of illiterate males = 55000/25 × 11 = 24200
Required number = 24000 + 24200 = 48200

3.Answer-4) 3lakhs
Explanation:
Total number of illiterate people in state D = 36000/12 × 23 =69000
Total population of state D = 69000/23 × 100 = 300000 = 3 lakhs

4.Answer- 2) 160/3%
Explanation– Total number of literate population of state E = 29400/7 × 17 = 71,400
Total population of state E = 71400/51 × 100 = 140000
Required percentage = (300000 – 140000)/300000 × 100 = 160/3%

5.Answer- 3) 550/9%
Explanation– Let the population of state D be 100, then the population of state A will be 300. (actual population is of course way higher)
Number of literate people in state D = 77% of 100 = 77
Number of literate people in state A = 66% of 300 = 198
Required percentage = (198 – 77)/198 × 100 = 12100/198 = 550/9%

6.Explanation:
The series is 11 × 1 – 3 = 8, 8 × 2 – 4 = 12, 12 × 3 – 5 = 31, 31 × 4 – 6 = 118
Therefore, the correct series is 11, 8, 12, 31, 118.

7.Explanation:
The series is 355 – 36 = 319, 319 – 30 = 289, 289 – 24 = 265, 265 – 18 = 247
Therefore, the correct series is 355, 319, 289, 265, 247.

8.Answer – 4) Relationship between x and y cannot be determined.
Explanation:
2x2 – 15x + 27 = 0
2x2 – 9x – 6x + 27 = 0
(x – 3)(2x – 9) = 0
x = 3, 9/2

5y2 – 18y – 35 = 0
5y2 – 25y + 7y – 35 = 0
(5y + 7)(y – 5) = 0
y = 5, -7/5
Therefore, option 4) is correct

9.Answer- 3) y > x
Explanation:
We have, x2 + 16x + 55 = 0
X2  + 11x + 5x + 55 = 0
(x + 5)(x + 11) = 0
x = -11, -5

2y2 + 9y + 10 = 0
2y2 + 5y + 4y + 10 = 0
(2y + 5)(y + 2) = 0
Y = -2, -5/2

Therefore, y > x

10.Explanation:
Let the value in question mark be x, then,
39 × 22 – 12 × 6 = 131 × x ( by converting every value to their nearest whole number)
858 – 72 = 131x
x = 6