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Yak Sbi Clerk 2018 Coaching - Problems On Numbers (Shortcuts & Do Tests)

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Hello friends. Today's theme inward SBI Clerks 2018 coaching is Problems on Numbers. This is ane of the easiest as well as nigh of import topics for Numerical Ability department of Clerical grade exams. People tend to confuse for these type of problems. But trust me, these type of problems are really easy. Just follow the methods shown below. You tin solve them inward fraction of seconds. All the Best :)

Problems on Numbers Shortcuts

Model 1 :
  1. If two-third of one-fifth of three-seventh of a reveal is 4, what is the reveal ?
    1. 60
    2. 70
    3. 75
    4. 80
    5. None of these
Solution :

Given that 2 tertiary (2/3) of ane 5th (1/5) of 3 7th (3/7) of a reveal is 4.

Say that reveal is x, So

(2/3)×(1/5)×(3/7) x = 4

=> x = 70

Practice Problems on Model 1 :
  1. If three-fourth of four-ninth of three-fifth of a reveal is 16, what is the reveal ?
    1. 60
    2. 70
    3. 75
    4. 80
    5. None of these
  2. If three-seventh of seven-ninth of three-fourth of a reveal is 15, what is the reveal ?
    1. 60
    2. 70
    3. 75
    4. 80
    5. None of these 
  3. If two-ninth of nine-fourteenth of 2 1/3 times of a reveal is 25, what is the reveal ?
    1. 60
    2. 70
    3. 75
    4. 80
    5. None of these 
Model 2 :
  1. If three-fifth of two-seventh of a reveal is 24, what is its 40% ?
    1. 56
    2. 64
    3. 120
    4. 140
    5. None of these 
Solution :

Say the reveal is n 

(3/5)  × (2/7) × n = 24

=> n  = 140

Caution Note : As before long every bit nosotros come across the reveal 140, hurriedly nosotros grade selection 4 every bit the answer. But hither inward the question, they didn't enquire us the number. They asked 40% of the number. So nosotros demand to find the percentage.

So the respond volition be  140 × (40/100) = 56

Practice Problems on Model 2 :
  1. If four-fifth of 5 6th of a reveal is 120, what is its 66 2/3 % ?
    1. 56
    2. 64
    3. 120
    4. 140
    5. None of these 
  2. If 3 7th of seven-fifteenth of a reveal is 84, what is its 33 1/3 % ?
    1. 56
    2. 64
    3. 120
    4. 140
    5. None of these 
  3. If eighteen-nineteenth of 4 3/4 times of a reveal is 128, what is its 225% ?
    1. 56
    2. 64
    3. 120
    4. 140
    5. None of these 
Model 3 :
  1. If three-fourth of two-third of a reveal is 12, what is the center of its digits ?
    1. 12
    2. 8
    3. 7
    4. 5
    5. None of these 
Solution :

(3/4) × (2/3) × n = 12

n = 24

Sum of its digits is 2 + 4 = 6

Practice Problems on Model 3 :

  1. If three-fourth of two-third of 65% of a reveal is 156, what is the center of its digits ?
    1. 12
    2. 8
    3. 7
    4. 5
    5. None of these 
  2. If nine-thirteenth of five-sixth of 62.5% of a reveal is 225, what is the center of its digits ?
    1. 12
    2. 8
    3. 7
    4. 5
    5. None of these 
  3. If seven-twelfth of three-eighth of 84% of a reveal is 147, what is the center of its digits ?
    1. 12
    2. 8
    3. 7
    4. 5
    5. None of these 
Model 4 :

  1. Two-third of the commencement reveal is same every bit three-fourth of the minute number. What is their ratio ? 
    1. 8:9
    2. 6:7
    3. 9:8
    4. 7:6
    5. None of these 
Solution :

Say the commencement reveal is F as well as the minute reveal is S

(2/3)×F = (3/4)×S
=> F/S = 9/8

Practice Problems on Model 4 :

  1. Three-fourth of the commencement reveal is same every bit 87.5% of the minute number. What is their ratio ?
    1. 8:9
    2. 6:7
    3. 9:8
    4. 7:6
    5. None of these 
  2. Three-fourth of the commencement reveal is same every bit two-third of the minute number. What is their ratio ?
    1. 8:9
    2. 6:7
    3. 9:8
    4. 7:6
    5. None of these 
  3. 7 times of the commencement reveal is same every bit 6 times of the minute number. What is their ratio ?
    1. 8 : 9
    2. 6 : 7
    3. 9 : 8
    4. 7 : 6
    5. None of these 
Model 5 :
  1. Sum of a 2 digits reveal as well as the reveal obtained yesteryear interchanging the digits is 44. What is the center of the digits of the reveal ?
    1. 4
    2. 5
    3. 6
    4. 7
    5. None of these 
Solution :

This is a tricky question. Here, they asked the SUM of the digits of the number. 

If the 2 digits are x and y, 
x is on 10s house as well as y is on units house => 10x+y

The reveal obtained yesteryear interchanging the digits is => 10y+x

So, 

10x+y  + 10y+x = 44
=> 11x+11y = 44
=> x+y = 4

Practice Problems on Model 5 :
  1. Sum of a 2 digits reveal as well as the reveal obtained yesteryear interchanging the digits is 77. What is the center of the digits of the reveal ?
    1. 4
    2. 5
    3. 6
    4. 7
    5. None of these 
  2.  Sum of a 2 digits reveal as well as the reveal obtained yesteryear interchanging the digits is 55. What is the center of the digits of the reveal ?
    1. 4
    2. 5
    3. 6
    4. 7
    5. None of these 
  3. Sum of a 2 digits reveal as well as the reveal obtained yesteryear interchanging the digits is 66. What is the center of the digits of the reveal ?
    1. 4
    2. 5
    3. 6
    4. 7
    5. None of these 
Model 6 :
  1. Difference betwixt a two-digits reveal as well as the reveal obtained yesteryear interchanging the digits is 36. What is the departure betwixt the digits of the reveal ?
    1. 4
    2. 5
    3. 6
    4. 7
    5. None of these 
Solution :

Here, they asked the difference. 

So, 

(10x+y) - (10y+x) = 36

10x+y-10y-x = 36

=> 9x - 9y = 36

x-y = 4

Practice Problems on Model 6 :
  1. Difference betwixt a two-digits reveal as well as the reveal obtained yesteryear interchanging the digits is 45. What is the departure betwixt the digits of the reveal ?  
    1. 4
    2. 5
    3. 6
    4. 7
    5. None of these 
  2. Difference betwixt a two-digits reveal as well as the reveal obtained yesteryear interchanging the digits is 54. What is the departure betwixt the digits of the reveal ?
    1. 4
    2. 5
    3. 6
    4. 7
    5. None of these 
  3. Difference betwixt a two-digits reveal as well as the reveal obtained yesteryear interchanging the digits is 63. What is the departure betwixt the digits of the reveal ?
    1. 4
    2. 5
    3. 6
    4. 7
    5. None of these 
Model 7 :
  1. Sum of a two-digits reveal as well as the reveal obtained yesteryear interchanging the digits is 55. Which ane of the next could move the departure betwixt the digits of the reveal ?
    1. 2
    2. 3
    3. 4
    4. 7
    5. 8
Solution :

Here, the Sum of a two-digits reveal as well as the reveal obtained yesteryear interchanging the digits is 55.
That means, the numbers should be, 
32 23, 14 41, 23 32, 41 14
 Difference betwixt the digits of the numbers is 
3-2 = 1,
4-1 = 3
3-2 = 1
4-1 = 3
From the given options, the respond is 3

Practice Problems on Model 7 :
  1. Sum of a two-digits reveal as well as the reveal obtained yesteryear interchanging the digits is 66. Which of the next could move the departure betwixt the digits of the reveal ?
    1. 1
    2. 3
    3. 4
    4. 7
    5. 8
  2. Sum of a two-digit reveal as well as the reveal obtained yesteryear interchanging the digits is 88. Which of the next could move the departure betwixt the digits of the reveal ?
    1. 1
    2. 3
    3. 5
    4. 7
    5. 8
  3. Sum of a two-digits reveal as well as the reveal obtained yesteryear interchanging the digits is 33. Which of the next could move the departure betwixt the digits of the reveal ?
    1. 1
    2. 5
    3. 4
    4. 7
    5. 8
Important Points to Note :
  • The sum of a 2 digit reveal as well as the reveal obtained yesteryear interchanging the digits is ever divisible yesteryear 11.
  • The difference between a 2 digit reveal as well as the reveal obtained yesteryear interchanging the digits of that reveal is ever divisible yesteryear 9.
  • If the sum of a 2 digit reveal as well as the reveal obtained yesteryear interchanging the digits of that reveal is given, the difference of the digits cannot move just found. 
  • If the difference of a 2 digit reveal as well as the reveal obtained yesteryear interchanging the digits of that reveal is given, the sum of the digits cannot move just found.
Model 8 :
  1. Difference betwixt a two-digits reveal as well as the reveal obtained yesteryear interchanging the digits is 54. Which of the next could non move the center of the digits of the reveal ? 
    1. 6
    2. 8
    3. 10
    4. 12
    5. 14
Solution :

56/9 = 6  [Difference of digits]
So the digits should move nine 3, 8 2,  7 1, 6 0

According to given options, 14 is NOT the center of the digits of the number. 

Practice Problems on Model 8 :
  1. Difference betwixt a two-digits reveal as well as the reveal obtained yesteryear interchanging the digits is 36. Which of the next could non move the center of the digits of the reveal ?
    1. 6
    2. 8
    3. 9
    4. 12
    5. 14
  2. Difference betwixt a two-digits reveal as well as the reveal obtained yesteryear interchanging the digits is 45. Which of the next could non move the center of the digits of the reveal ?
    1. 3
    2. 5
    3. 7
    4. 9
    5. 11
  3. Difference betwixt a two-digits reveal as well as the reveal obtained yesteryear interchanging the digits is 63. Which of the next could non move the center of the digits of the reveal ?
    1. 7
    2. 9
    3. 11
    4. 13
    5. None of these 
Model 9 : 
  1. Sum of the digits of a 2 digits reveal is 9. When the digits are interchanged the reveal volition move decreased yesteryear 9. What is the reveal ?
    1. 63
    2. 36
    3. 45
    4. 54
    5. None of these 
Solution :
Sum of the digits of a 2 digits reveal = 9
=> x+y = nine --------------> (1)
Given that, when the digits are interchanged, the reveal volition move decreased yesteryear 9
that agency (10x+y) - (10y-x) = 9
10x+y-10y-x = 9
9x - 9y = 9
=> x-y = nine --------------> (2)
From (1) as well as (2)
x+y = 9
x-y = 1
_______
2x = 10
=> x = 5

as well as hence y = 4

So the reveal xy = 54

Practice Problems on Model 9 :
  1. Sum of the digits of a 2 digits reveal is 9. When the digits are interchanged the reveal volition move decreased yesteryear 27. What is the reveal ?
    1. 63
    2. 36
    3. 45
    4. 54
    5. None of these
  2. Sum of the digits of a 2 digit reveal is 9. When the digits are interchanged the reveal volition move increased yesteryear 9. What is the reveal ?
    1. 63
    2. 36
    3. 45
    4. 54
    5. None of these 
  3. Sum of the digits of a 2 digits reveal is 9. When the digits are interchanged the reveal volition move increased yesteryear 27. What is the reveal ?
    1. 63
    2. 36
    3. 45
    4. 54
    5. None of these 
Model 10 :
  1. When 45 is added to a number, it volition move increased yesteryear 20%. What is the reveal ?
    1. 225
    2. 240
    3. 270
    4. 300
    5. None of these
Solution :

When 45 is added to a number, it volition move increased yesteryear 20%

that agency 20% -----> 45

To teach 100% you lot demand to multiply twenty alongside 5

So, multiply alongside 5 on both sides, 

100% ----- 45x5 = 225  

225 is the answer

Practice problems on Model 10 :
  1. When 81 is added to a number, it volition move increased yesteryear 30%. What is the reveal ?
    1. 225
    2. 240
    3. 270
    4. 300
    5. None of these
  2. When 96 is added to a number, it volition move increased yesteryear 40%. What is the reveal ?
    1. 225
    2. 240
    3. 270
    4. 300
    5. None of these 
  3. When 75 is added to a number, it volition move increased yesteryear 25%. What is the reveal ?
    1. 225
    2. 240
    3. 270
    4. 300
    5. None of these 
Note : In or as well as hence cases you lot cant direct equate it to 100 yesteryear multiplying alongside whatever number. Then follow below method.
30% ------> 81
Here you lot can't teach 100 yesteryear multiplying whatever reveal alongside 30
So, merely equate it to the close double zilch digit. 
So, multiply alongside 10
=> 300% -----> 810
Now split upwardly alongside 3
=> 100% ----> 270

Model 11 :
  1. When twenty is subtracted from a number. It volition move decreased yesteryear its 25%. What is the reveal ?
    1. 60
    2. 75
    3. 80
    4. 96
    5. None of these
Solution :
25% ------ > 20

100% ----------------> eighty (multiplied yesteryear 4)

Practice Problems on Model 11 :
  1. When thirty is subtracted from a number, it volition move decreased yesteryear its 50%. What is the reveal ?
    1. 60
    2. 75
    3. 80
    4. 96
    5. None of these 
  2. When 18.75 is subtracted from a number, it volition move decreased yesteryear its 25%. What is the reveal ?
    1. 60
    2. 75
    3. 80
    4. 96
    5. None of these 
  3. When 38.4 is subtracted from a number, it volition move decreased yesteryear its 40%. What is the reveal ?
    1. 60
    2. 75
    3. 80
    4. 96
    5. None of these
Model 12 :
  1. When thirty is subtracted from a number, it volition move decreased to its 80%. What is the reveal ?
    1. 120
    2. 150
    3. 180
    4. 225
    5. None of these 
Solution :

When thirty is subtracted from a number, it volition move decreased to its 80%, that agency it volition move reduced yesteryear 20%

=>  20% ----> 30

100% -----> 150

Practice Problems on Model 12 :
  1. When 18 is subtracted from a number, it volition move decreased to its 90%. What is the reveal ?
    1. 120
    2. 150
    3. 180
    4. 225
    5. None of these
  2. When thirty is subtracted from a number, it volition move decreased to its 75%. What is the reveal ?
    1. 120
    2. 150
    3. 180
    4. 225
    5. None of these 
  3. When 11.25 is subtracted from a number, it volition move decreased to its 95%. What is the reveal ?
    1. 120
    2. 150
    3. 180
    4. 225
    5. None of these 
Model 13 :
  1. When 135 is subtracted from a number, it volition move decreased to its 11/20. What is its 75% ?
    1. 360
    2. 300
    3. 225
    4. 210
    5. None of these 
Solution :
x - 135 = (11/20)x

x - (11x/20) = 135

9x = 135 x 20

=>  x = 300

75% =  300 x (75/100) = 225

Practice Problems on Model 13 :
  1. When 135 is subtracted from a number, it volition move decreased to 17/20. What is its 40% ?
    1. 360
    2. 300
    3. 225
    4. 210
    5. None of these
  2. When 135 subtracted from a number, it volition move decreased to its 31/40. What is its 35 % ?
    1. 360
    2. 300
    3. 225
    4. 210
    5. None of these 
  3. When 240 is subtracted from a number, it volition move decreased to its 7/15. What is its 66 2/3 % ?
    1. 360
    2. 300
    3. 225
    4. 210
    5. None of these 
Model 14 :
  1.  When 2/7 of a reveal is added to 25, it becomes the reveal itself. What is its 175 % ?
    1. 35
    2. 42
    3. 40
    4. 70
    5. None of these 
Solution :
(2x/7) + 25 = x

(2x/7) - x = 25

-5x = 175

x = 35
120% of the number  = 35 x (120/100) = 42

Practice Problems on Model 14 :
  1. When 3/8 of a reveal is added to 25, it becomes the reveal itself. What is its 175% ?
    1. 35
    2. 42
    3. 40
    4. 70
    5. None of these 
  2. When 4/9 of a reveal is added to 20, it becomes the reveal itself. What is its 116 2/3 % ?
    1. 35
    2. 42
    3. 40
    4. 70
    5. None of these
  3. When 3/7 of a reveal is added to 16, it becomes the reveal itself. What is its 125 % ?
    1. 35
    2. 42
    3. 40
    4. 70
    5. None of these
Model 15 :
  1. The departure betwixt 2/3 as well as 3/4 of a reveal is 15. What is the reveal ?
    1. 180
    2. 240
    3. 320
    4. 360
    5. None of these 
Solution :
(2x/3) - (3x/4) = 15
=> (2x-3x) / 12 = 15

=> x = 180   

Practice problems on Model 15 :
  1. The departure betwixt 3/5 as well as 5/6 of a reveal is 56. What is the reveal ?
    1. 180
    2. 240
    3. 320
    4. 360
    5. None of these
  2. The departure betwixt 5/12 as well as 7/15 of a reveal is 18. What is the reveal ?
    1. 180
    2. 240
    3. 320
    4. 360
    5. None of these
  3. The departure betwixt 5/8 as well as 3/5 of a reveal is 8. What is the reveal ?
    1. 180
    2. 240
    3. 320
    4. 360
    5. None of these
Model 16 :
  1. A man child is asked to multiply a reveal yesteryear 2/5. By error he divided the reveal yesteryear 2/5 as well as got the respond 420 to a greater extent than than what he should stimulate got got  if he had multiplied the reveal yesteryear 2/5. What is the reveal given to him ?
    1. 200
    2. 210
    3. 250
    4. 300
    5. None of these 
Solution :

5x/2 = (2x/5) + 420
(5x/2) - (2x/5) = 420

= 25x -4x = 4200

21x = 4200

=> x = 200

Practice Problems on Model 16 :
  1. A man child is asked to multiply a reveal yesteryear 2/7. By error he divided the reveal yesteryear 2/7 as well as got the respond 675 to a greater extent than than what he should stimulate got got if he had multipled the reveal yesteryear 2/7. What is the reveal given to him ?
    1. 200
    2. 210
    3. 250
    4. 300
    5. None of these 
  2. A man child is asked to multiply a reveal yesteryear 7/15. BY error he multiplied the reveal yesteryear 5/17 as well as got the respond 220 less than what he should stimulate got got if he had multiplied the reveal yesteryear 7/15. What is the reveal given to him ?
    1. 200
    2. 210
    3. 250
    4. 300
    5. None of these
  3. A man child is asked to multiply a reveal yesteryear 7/18. By error he multiplied the reveal yesteryear 8/17 as well as got the respond 125 to a greater extent than than what he should stimulate got got if he had multiplied the reveal yesteryear 7/18. What is the reveal given to him ?
    1. 200
    2. 240
    3. 250
    4. 300
    5. None of these
Model 17 :
  1. 3/4 of a reveal is 160 less than its 80%. What is the reveal ?
    1. 320
    2. 480
    3. 3200
    4. 4800
    5. None of these 
Solution :
3/4 => (3/4) x 100 = 75%
75% is 5% less than 80%
=> 5% ---> 160
+> 100% -----> 320

Practice Problems on Model 17 :
  1. 9/13 of a reveal is 154 less than its 80%. What is the reveal ?
    1. 320
    2. 480
    3. 3200
    4. 1430
    5. None of these
  2. 3/5 of a reveal is 72 less than its 75%. What is the reveal ?
    1. 320
    2. 480
    3. 3200
    4. 4800
    5. None of these 
  3. 9/11 of a reveal is 132 to a greater extent than than its 75%. What is the reveal ?
    1. 320
    2. 480
    3. 3200
    4. 4800
    5. None of these
Model 18 :
  1. A reveal exceeds its 4/9 yesteryear 25. What is the reveal ?
    1. 36
    2. 48
    3. 54
    4. 63
    5. None of these
Solution :
x - (4/9) x = 25
9x - 4x = 225
5x = 225 => x = 45
Problems on Model 18 :
  1. A reveal exceeds its 5/12 yesteryear 28. What is the reveal ?
    1. 36
    2. 48
    3. 54
    4. 63
    5. None of these 
  2. A reveal exceeds its 5/9 yesteryear 16. What is the reveal ?
    1. 3648
    2. 54
    3. 63
    4. None of these
  3. A reveal exceeds its 2/9 yesteryear 14. What is the reveal ?
    1. 36
    2. 48
    3. 54
    4. 63
    5. None of these
That's all for today friends. I volition percentage to a greater extent than models tomorrow. Happy Learning :)

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