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Question 351

RBI Assistant 2022• Numerical Ability

What will come in place of question mark (?) in the following equation?

232 - 245 ÷ 35 = ? × 18

  1. AOption (a)

    31

  2. BOption (b)

    52

  3. COption (c)

    45

  4. DOption (d)

    39

  5. EOption (e)

    29

View answer & explanation

Correct answer

Answer: (e)E.

29

Why this answer is correct

Follow BODMAS rule to solve this question, as per the order given below,  

Step-1: Parts of an equation enclosed in 'Brackets' must be solved first, and in the bracket, 

Step-2: Any mathematical 'Of' or 'Exponent' must be solved next, 

Step-3: Next, the parts of the equation that contain 'Division' and 'Multiplication' are calculated, 

Step-4: Last but not least, the parts of the equation that contain 'Addition' and 'Subtraction' should be calculated

232 - 245 ÷ 35 = ? × 18

⇒ 529 - 7 = ? × 18

⇒ 522/18 = ?

⇒ ? = 29

Question 352

RBI Assistant 2022• Numerical Ability

What will come in place of question mark (?) in the following equation?

53 + 25 × 8 = ? + 12 × 5

  1. AOption (a)

    265

  2. BOption (b)

    225

  3. COption (c)

    245

  4. DOption (d)

    255

  5. EOption (e)

    235

View answer & explanation

Correct answer

Answer: (a)A.

265

Why this answer is correct

Follow BODMAS rule to solve this question, as per the order given below, 

Step-1: Parts of an equation enclosed in 'Brackets' must be solved first, and in the bracket, 

Step-2: Any mathematical 'Of' or 'Exponent' must be solved next, 

Step-3: Next, the parts of the equation that contain 'Division' and 'Multiplication' are calculated, 

Step-4: Last but not least, the parts of the equation that contain 'Addition' and 'Subtraction' should be calculated 

53 + 25 × 8 = ? + 12 × 5

⇒ 125 + 200 = ? + 60

⇒ 325 = ? + 60

∴ ? = 265

Question 353

RBI Assistant 2022• Numerical Ability

What will come in place of question mark (?) in the following equation?

12 – [3 – {6 – (15 – 7)}] = ?

  1. AOption (a)

    4

  2. BOption (b)

    7

  3. COption (c)

    11

  4. DOption (d)

    15

  5. EOption (e)

    2

View answer & explanation

Correct answer

Answer: (b)B.

7

Why this answer is correct

Follow BODMAS rule to solve this question, as per the order given below,  

Step-1: Parts of an equation enclosed in 'Brackets' must be solved first, and in the bracket, 

Step-2: Any mathematical 'Of' or 'Exponent' must be solved next, 

Step-3: Next, the parts of the equation that contain 'Division' and 'Multiplication' are calculated, 

Step-4: Last but not least, the parts of the equation that contain 'Addition' and 'Subtraction' should be calculated 

12 – [3 – {6 – (15 – 7)}] = ?

⇒ 12 – [3 – {6 – 8}] = ?

⇒ 12 – [3 + 2] = ? 

⇒ 12 – 5 = ?

∴ ? = 7

Question 354

RBI Assistant 2022• Numerical Ability

What will come in place of question mark (?) in the following equation?

(32 × 9) ÷ 18 + 52 = ?

  1. AOption (a)

    31

  2. BOption (b)

    33

  3. COption (c)

    41

  4. DOption (d)

    43

  5. EOption (e)

    47

View answer & explanation

Correct answer

Answer: (c)C.

41

Why this answer is correct

Follow BODMAS rule to solve this question, as per the order given below, 

Step-1: Parts of an equation enclosed in 'Brackets' must be solved first, and in the bracket, 

Step-2: Any mathematical 'Of' or 'Exponent' must be solved next, 

Step-3: Next, the parts of the equation that contain 'Division' and 'Multiplication' are calculated, 

Step-4: Last but not least, the parts of the equation that contain 'Addition' and 'Subtraction' should be calculated

(32 × 9) ÷ 18 + 52 = ?

⇒ 288 ÷ 18 + 25 = ?

⇒ 16 + 25 = ?

∴ ? = 41

Question 355

RBI Assistant 2022• Numerical Ability

What will come in place of question mark (?) in the following equation?

(22 × 15 – 150) – 164 = √?

  1. AOption (a)

    4

  2. BOption (b)

    12

  3. COption (c)

    16

  4. DOption (d)

    256

  5. EOption (e)

    128

View answer & explanation

Correct answer

Answer: (d)D.

256

Why this answer is correct

Follow BODMAS rule to solve this question, as per the order given below, 

Step-1: Parts of an equation enclosed in 'Brackets' must be solved first, and in the bracket, 

Step-2: Any mathematical 'Of' or 'Exponent' must be solved next, 

Step-3: Next, the parts of the equation that contain 'Division' and 'Multiplication' are calculated, 

Step-4: Last but not least, the parts of the equation that contain 'Addition' and 'Subtraction' should be calculated

(22 × 15 – 150) – 164 = √?

⇒ 180 – 164 = √?

⇒ 16 = √?

∴ ? = 256

Question 356

RBI Assistant 2022• Numerical Ability

Direction: Study the direction and answer the following questions.

In a summer festival which was held in Shimla, there were 4000 visitors. 25% of the total number of visitors are unemployed and out of these 20% are females. 12.5% of the total number of visitors are doctors and out of these 50% are females. 25% of the total number of visitors are teachers out of which 82.5% are males. There are 1500 engineers present at the festival and the ratio of males and females is 8 : 7.

What is the ratio between the number of unemployed males present at the festival to the number of female engineers present at the festival?

  1. AOption (a)

    2 : 3

  2. BOption (b)

    3 : 5

  3. COption (c)

    8 : 7

  4. DOption (d)

    5 : 7

  5. EOption (e)

    15 : 7

View answer & explanation

Correct answer

Answer: (c)C.

8 : 7

Why this answer is correct

Given:

Total visitors = 4000
Unemployed 1000Doctors 500Teachers 1000Engineers 1500
MaleFemaleMaleFemaleMaleFemaleMaleFemale
800200250250825175800700

 

Calculation:

Total number of unemployed present = (25/100) × 4000 = 1000

⇒ Number of male unemployed present = 1000 – [(20/100) × 1000] = 800

Number of  female engineers present = (1500/15) × 7 = 700

⇒ Required Ratio = 800 : 700 = 8 : 7

∴ The ratio between the number of unemployed males present at the festival to the number of female engineers present at the festival is 8 : 7.

Question 357

RBI Assistant 2022• Numerical Ability

Direction: Study the direction and answer the following questions.

In a summer festival which was held in Shimla, there were 4000 visitors. 25% of the total number of visitors are unemployed and out of these 20% are females. 12.5% of the total number of visitors are doctors and out of these 50% are females. 25% of the total number of visitors are teachers out of which 82.5% are males. There are 1500 engineers present at the festival and the ratio of males and females is 8 : 7.

Female teachers present at the festival is what percentage more or less than the number of female doctors present at the festival?

  1. AOption (a)

    50%

  2. BOption (b)

    30%

  3. COption (c)

    20%

  4. DOption (d)

    10%

  5. EOption (e)

    15%

View answer & explanation

Correct answer

Answer: (b)B.

30%

Why this answer is correct

Given:

Total visitors = 4000
Unemployed 1000Doctors 500Teachers 1000Engineers 1500
MaleFemaleMaleFemaleMaleFemaleMaleFemale
800200250250825175800700

 

Calculation:

Total number of teachers present = (25/100) × 4000 = 1000

⇒ Female teachers present = 1000 – [(82.5/100) × 1000] = 175

Total number of doctors present = (12.5/100) × 4000 = 500

⇒ Female doctors present = (50/100) × 500 = 250

⇒ Change = 250 – 175 = 75

⇒ Percentage change = (75/250) × 100 = 30%

∴ The required answer is 30%.

Question 358

RBI Assistant 2022• Numerical Ability

Direction: Study the direction and answer the following questions.

In a summer festival which was held in Shimla, there were 4000 visitors. 25% of the total number of visitors are unemployed and out of these 20% are females. 12.5% of the total number of visitors are doctors and out of these 50% are females. 25% of the total number of visitors are teachers out of which 82.5% are males. There are 1500 engineers present at the festival and the ratio of males and females is 8 : 7.

What is the difference between the number of male doctors and the number of male unemployed together and the number of female unemployed and female doctors together?

  1. AOption (a)

    400

  2. BOption (b)

    600

  3. COption (c)

    200

  4. DOption (d)

    500

  5. EOption (e)

    100

View answer & explanation

Correct answer

Answer: (b)B.

600

Why this answer is correct

Given:

Total visitors = 4000
Unemployed 1000Doctors 500Teachers 1000Engineers 1500
MaleFemaleMaleFemaleMaleFemaleMaleFemale
800200250250825175800700

 

Total number of doctors present = (12.5/100) × 4000 = 500

Calculation:

⇒ Male doctors present = (50/100) × 500 = 250

⇒ Female doctors present = (50/100) × 500 = 250

Total number of unemployed present = (25/100) × 4000 = 1000

⇒ Female unemployed present = [(20/100) × 1000] = 200

⇒ Male unemployed present = [(100 – 20)/100) × 1000] = 800

⇒ Required difference = (250 + 800) – (250 + 200) = 600

∴ The required difference is 600.

Question 359

RBI 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 – 26x + 165 = 0

II. y2 – 38y + 357 = 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 – 26x + 165 = 0

⇒ x2 – 11x – 15x + 165 = 0

⇒ x (x – 11) – 15 (x – 11) = 0

⇒ (x – 11) (x – 15) = 0

⇒ x = 11, 15

 

II. y2 – 38y + 357 = 0

⇒ y2 – 17y – 21y + 357 = 0

 ⇒ y (y – 17) – 21 (y – 17) = 0

⇒ (y – 21) (y – 17) = 0

⇒ y = 21, 17

Comparison between x and y (via Tabulation):

Value of xValue of yRelation
1121x < y
1117x < y
1521x < y
1517x < y

 

∴ x < y

Question 360

RBI 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 + 36x + 180 = 0

II. y2 - 18y - 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 the relationship between x and y cannot be established.

View answer & explanation

Correct answer

Answer: (b)B.

x ≤ y

Why this answer is correct

Solution:

x2 + 36x + 180 = 0

⇒ x2 + (30 + 6)x + 180

⇒ x2 + 30x + 6x + 180

⇒ x (x+  30) + 6 (x + 30)

⇒ (x + 30) (x + 6)

Then x = -30 or x = -6

 

y2 - 18y - 144 = 0

⇒ y2 - (24 - 6)y - 144

⇒ y2 - 24y + 6y - 144

⇒ y (y - 24) + 6 (y - 24)

⇒ (y - 24) (y + 6)

Then y = 24 or y = -6

Comparison between x and y (via Tabulation):

Value of xValue of yRelation
-3024x < y
-30-6x < y
-624x < y
-6-6x = y

∴ x ≤ y

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