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Question 41

LIC Assistant 2022• Numerical Ability

In the given question, two equations numbered l and II are given. Solve both the equations and mark the appropriate answer.

I. x2 + 15x + 56 = 0

II. y2 + 7y + 12 = 0

  1. AOption (a)

    x > y

  2. BOption (b)

    x < y

  3. COption (c)

    x ≥ y

  4. DOption (d)

    x ≤ y

  5. EOption (e)

    x = y or relationship between x and y cannot be established.

View answer & explanation

Correct answer

Answer: (b)B.

x < y

Why this answer is correct

I. x2 + 15x + 56 = 0

⇒ x2 + 7x + 8x + 56 = 0

⇒ x(x + 7) +  8(x + 7) = 0

⇒ (x + 7) (x + 8) = 0

⇒ x = - 7, - 8

II. y2 + 7y + 12 = 0

⇒ y2 + 3y + 4y + 12 = 0

⇒ y (y + 3) + 4 (y + 3) = 0

⇒ (y + 3) (y + 4) = 0

⇒ y = -4, -3  

 

Value of xValue of yRelation
-7-4x < y
-7-3x < y
-8-4x < y
-8-3x < y

 

Hence, x < y

Question 42

LIC Assistant 2022• Numerical Ability

In the given question, two equations numbered l and II are given. Solve both the equations and mark the appropriate answer

I. x2 – 9x + 18 = 0

II. y2 – 11y + 18 = 0

  1. AOption (a)

    x > y

  2. BOption (b)

    x ≤ y

  3. COption (c)

    x ≥ y

  4. DOption (d)

    x < y

  5. EOption (e)

    x = y or relationship between x and y can't be established

View answer & explanation

Correct answer

Answer: (e)E.

x = y or relationship between x and y can't be established

Why this answer is correct

I. x2 - 9x + 18 = 0

⇒ x2 - 6x - 3x + 18 = 0

⇒ (x - 6)(x - 3) = 0

⇒ 6, 3

II. y2 - 11y + 18 = 0

⇒ y2 - 9y - 2y + 18 = 0

⇒ (y - 9)(y - 2) = 0

⇒ y = 2, 9

Value of xValue of yRelation
62x > y
69x < y
32x > y
39x < y

While comparing the values of x and y, both root values of y lies between the root values of x

∴ The correct answer is option 5

Question 43

LIC Assistant 2022• Numerical Ability

In the given question, two equations numbered l and II are given. Solve both the equations and mark the appropriate answer.

I. x2 - 37x + 330 = 0

II. y2 - 28y + 195 = 0

  1. AOption (a)

    x > y

  2. BOption (b)

    x < y

  3. COption (c)

    x ≥ y

  4. DOption (d)

    x ≤ y

  5. EOption (e)

    x = y or relationship between x and y cannot be established.

View answer & explanation

Correct answer

Answer: (c)C.

x ≥ y

Why this answer is correct

Calculation∶

I. x2 - 37x + 330 = 0

⇒ x2 - 15x - 22x + 330 = 0

⇒ x (x - 15) - 22 (x - 15) = 0

⇒ (x - 15) (x - 22) = 0

⇒ x = 15, 22

II. y2 - 28y + 195 = 0

⇒ y2 - 13y - 15y + 195 = 0

⇒ y (y - 13) - 15 (y - 13) = 0

⇒ (y - 13) (y - 15) = 0

⇒ y = 13, 15

Value of xValue of yRelation
1513x > y
1515x = y
2213x > y
2215x > y

 

∴ x ≥ y

Question 44

LIC Assistant 2022• Numerical Ability

In the given question, two equations numbered l and II are given. Solve both the equations and mark the appropriate answer.

I. x2 + 19x + 90 = 0

II. y2 + 13y + 36 = 0

  1. AOption (a)

    x > y

  2. BOption (b)

    x < y

  3. COption (c)

    x ≥ y

  4. DOption (d)

    x ≤ y

  5. EOption (e)

    x = y or relationship between x and y cannot be established.

View answer & explanation

Correct answer

Answer: (d)D.

x ≤ y

Why this answer is correct

Calculation∶

I. x2 + 19x + 90 = 0

⇒ x2 + 9x + 10x + 90 = 0

⇒ x(x + 9) + 10(x + 9) = 0

⇒ (x + 9)(x + 10) = 0

⇒ x = -9, -10

II. y2 + 13y + 36 = 0

⇒ y2 + 4y + 9y + 36 = 0

⇒ y(y + 4) + 9(y + 4) = 0

⇒ (y + 4)(y + 9) = 0

⇒ y = -4, -9 

Value of xValue of yRelation
-9-4x < y
-9-9x = y
-10-4x < y
-10-9x < y

 

∴ x ≤ y

Question 45

LIC Assistant 2022• Numerical Ability

In the given question, two equations numbered l and II are given. Solve both the equations and mark the appropriate answer.

I. x2 - 35x + 306 = 0

II. y2 - 25y + 144 = 0

  1. AOption (a)

    x > y

  2. BOption (b)

    x < y

  3. COption (c)

    x ≥ y

  4. DOption (d)

    x ≤ y

  5. EOption (e)

    x = y or relationship between x and y cannot be established.

View answer & explanation

Correct answer

Answer: (a)A.

x > y

Why this answer is correct

Calculation∶

I. x2 - 35x + 306 = 0

⇒ x2 - 17x - 18x + 306 = 0

⇒ x (x - 17) - 18 (x - 17) = 0

⇒ (x - 17) (x - 18) = 0

⇒ x = 17, 18

II. y2 - 25y + 144 = 0

⇒ y2 - 9y - 16y + 144 = 0

⇒ y (y - 9) - 16(y - 9) = 0

⇒ (y - 9) (y - 16) = 0

⇒ y = 9, 16

Value of XValue of YRelation
179x > y
1716x > y
189x > y
1816x > y

 

∴ x > y

Question 46

LIC Assistant 2022• Numerical Ability

Directions: Study the bar graph carefully and answer the following questions.

The bar graph given below represents the amount of tax paid (in thousands) by the three tax payers Ankur, Pankaj and Mayank during the year 2018 and 2019. Study this graph carefully and answer the questions given below.

 

What is the average of the total amount of tax paid by all three tax payers in the year 2018 and 2019 together?

  1. AOption (a)

    Rs. 140,000

  2. BOption (b)

    Rs. 120,000

  3. COption (c)

    Rs. 135,000

  4. DOption (d)

    Rs. 160,000

  5. EOption (e)

    Rs. 150,000

View answer & explanation

Correct answer

Answer: (c)C.

Rs. 135,000

Why this answer is correct

Total amount to be paid by all three in 2018 year is Rs 195000

Total amount to be paid by all three in 2019 year is Rs 210000

Total in both years is Rs 195000+Rs 210000

⇒ Rs 405000

Then average of both years is 

⇒ 405000 / 3

⇒ 135000

Hence Rs 135000 is the correct answer.

Question 47

LIC Assistant 2022• Numerical Ability

Directions: Study the bar graph carefully and answer the following questions.

The bar graph given below represents the amount of tax paid (in thousands) by the three tax payers Ankur, Pankaj and Mayank during the year 2018 and 2019. Study this graph carefully and answer the questions given below.

 

What is the total amount of tax paid by all three tax payers in the year 2019?

  1. AOption (a)

    Rs. 210000

  2. BOption (b)

    Rs. 250000

  3. COption (c)

    Rs. 290000

  4. DOption (d)

    Rs. 350000

  5. EOption (e)

    Rs. 400000

View answer & explanation

Correct answer

Answer: (a)A.

Rs. 210000

Why this answer is correct

Total tax paid by all three in the year 2019

⇒ 60000+80000+70000

⇒ Rs 210000

Hence Rs 210000 is the correct answer.

Question 48

LIC Assistant 2022• Numerical Ability

Directions: Study the bar graph carefully and answer the following questions.

The bar graph given below represents the amount of tax paid (in thousands) by the three tax payers Ankur, Pankaj and Mayank during the year 2018 and 2019. Study this graph carefully and answer the questions given below.

 

In the year 2020 the amount of tax paid by Mayank is 30% more than the amount of tax paid by Ankur in the year 2019. What is the amount of tax paid by the Mayank in the year 2020?

  1. AOption (a)

    Rs. 52,000

  2. BOption (b)

    Rs. 70,000

  3. COption (c)

    Rs. 50,000

  4. DOption (d)

    Rs. 58,000

  5. EOption (e)

    Rs. 78,000

View answer & explanation

Correct answer

Answer: (e)E.

Rs. 78,000

Why this answer is correct

Tax paid by Ankur in the year 2019 is Rs 60000

Then tax paid by Mayank in 2020 is 30% more than Ankur in 2019

⇒ 60000× (100+30)% 

⇒ 60000×13/10

⇒ 78000

Hence Rs 78000 is the correct answer.

Question 49

LIC Assistant 2022• Numerical Ability

Directions: Study the bar graph carefully and answer the following questions.

The bar graph given below represents the amount of tax paid (in thousands) by the three tax payers Ankur, Pankaj and Mayank during the year 2018 and 2019. Study this graph carefully and answer the questions given below.

 

What is the ratio of the amount of tax paid by Mayank and Ankur in the year 2018 to the amount of tax paid by Pankaj in the year 2018 and 2019 together?

  1. AOption (a)

    28:29

  2. BOption (b)

    30:31

  3. COption (c)

    16:19

  4. DOption (d)

    26:29

  5. EOption (e)

    25:27

View answer & explanation

Correct answer

Answer: (d)D.

26:29

Why this answer is correct

Mayank and Ankur in the year 2018 is Rs 40000 and Rs 90000.

⇒ 40000+90000 

⇒ 130000

Pankaj in the both years is 

⇒ 65000+80000

⇒ 145000

Ratio of these = 130000 : 145000

⇒ 26 : 29

Hence 26 : 29 is the correct answer.

Question 50

LIC Assistant 2022• Numerical Ability

Directions: Study the bar graph carefully and answer the following questions.

The bar graph given below represents the amount of tax paid (in thousands) by the three tax payers Ankur, Pankaj and Mayank during the year 2018 and 2019. Study this graph carefully and answer the questions given below.

 

The amount of tax paid by Pankaj in the year 2019 is what percentage of the amount of tax paid by Mayank in the year 2018?

  1. AOption (a)

    180%

  2. BOption (b)

    200%

  3. COption (c)

    150%

  4. DOption (d)

    130%

  5. EOption (e)

    155%

View answer & explanation

Correct answer

Answer: (b)B.

200%

Why this answer is correct

Tax paid by Pankaj in the year 2019 is Rs 80000

Tax paid by Mayank in the year 2018 is Rs 40000

⇒ 80000 = ? of 40000%

⇒ (80000 / 40000 ) × 100

⇒ 200%

Hence 200% is the correct answer.

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