All questions of Simplification & Approximation for RRB Group D / RPF Constable Exam

7.8 + 5.4 x 8.2 = ?
  • a)
    52.08
  • b)
    108.24
  • c)
    48.05
  • d)
    102.05
  • e)
    None of these
Correct answer is option 'A'. Can you explain this answer?

Solution for 7.8 + 5.4 × 8.2
We solve using the order of operations (BODMAS):
  1. First, perform the multiplication:
    5.4 × 8.2 = 44.28
  2. Next, add the result to 7.8:
    7.8 + 44.28 = 52.08
Correct Answer: A: 52.08

  • a)
    2 - √3
  • b)
    2 + √3
  • c)
    16 - √3
  • d)
    14 - √3
  • e)
    None of these
Correct answer is option 'C'. Can you explain this answer?

Given expression:
[(2 + √3) / (2 - √3)] + [(2 - √3) / (2 + √3)] + [(√3 - 1) / (√3 + 1)]
  1. Simplify the first two terms:
    • The denominator simplifies to 1.
    • The numerator becomes 14.
    • Result: 14.
  2. Simplify the third term:
    • Rationalize the denominator to get 2 - √3.
  3. Add the results:
    • 14 + (2 - √3) = 14 - √3.
Correct Answer: C: 14 - √3

(?)3 x (55) ÷ 225 = 3000
  • a)
    6
  • b)
    8
  • c)
    5
  • d)
    9
  • e)
    None of these
Correct answer is option 'A'. Can you explain this answer?

 
To solve (?)³ × (5⁵) ÷ 225 = 3000, follow these steps:
  1. Rearrange the equation:
    (?)³ = (3000 × 225) ÷ 5⁵
  2. Calculate 5⁵:
    5⁵ = 3125
  3. Simplify the numerator:
    3000 × 225 = 675000
  4. Divide:
    675000 ÷ 3125 = 216
  5. Find the cube root of 216:
    √³(216) = 6
Correct Answer: A: 6

  • a)
    51
  • b)
    59
  • c)
    57
  • d)
    53
  • e)
    None of these
Correct answer is option 'C'. Can you explain this answer?

Solution for ∛185193
To solve ∛185193, we find the cube root:
  • The cube root of 185193 is 57, since 57³ = 185193.
Correct Answer: C: 57

47.932 + 56 + 97.168 – 67 – 78.3 – 22.7
  • a)
    33    
  • b)
    32.1
  • c)
    33.1   
  • d)
    34.1
  • e)
    None
Correct answer is option 'C'. Can you explain this answer?

Expression:
( 47.932 + 56 + 97.168 - 67 - 78.3 - 22.7 )
Step 1: Add the positive terms:
( 47.932 + 56 + 97.168 = 201.1 )
Step 2: Add the negative terms:
( 67 + 78.3 + 22.7 = 168 )
Step 3: Subtract the sum of negative terms from the sum of positive terms:
( 201.1 - 168 = 33.1 )
Final Answer: The result of the expression is 33.1.

(169 – 144)½ ÷ (64 + 36)½ = ?
  • a)
    0.5
  • b)
    0.25
  • c)
    2.5
  • d)
    5
  • e)
    None of these
Correct answer is option 'A'. Can you explain this answer?

To solve the given expression:

1. Calculate the values inside the parentheses first: √(169 - 144 = 25) and √(64 + 36 = 100).
2. Now simplify the expression further: √25/√100 .
3. Calculate the square roots: 5/10
4. Finally, divide the two results: 0.5

Therefore, the correct answer is A: 0.5.

  • a)
    62
  • b)
    58
  • c)
    68
  • d)
    66
  • e)
    None of these
Correct answer is option 'E'. Can you explain this answer?

Solution for ( ? )² / 4 + √1521 = 1063
To solve ( ? )² / 4 + √1521 = 1063, follow these steps:
  1. Calculate the square root of 1521:
    √1521 = 39
  2. Substitute into the equation and simplify:
    ( ? )² / 4 + 39 = 1063
    ( ? )² / 4 = 1063 - 39 = 1024
  3. Multiply by 4:
    ( ? )² = 1024 × 4 = 4096
  4. Take the square root:
    ? = √4096 = 64
Correct Answer: E: None of these

–224 + (–314) x (–9) = ?
  • a)
    2602
  • b)
    547
  • c)
    – 547
  • d)
    –2602
  • e)
    None of these
Correct answer is option 'A'. Can you explain this answer?

Anaya Patel answered
Option (a) 2602 is correct. 
Explanation:- 
 
{ Given,   
-224 + ( - 314) * (-9) 
 According to BODMASS ; 
=>  -224 -314  * -9
=>  -224 +  2826
=>   2602

12.5% of 350 * 8.4% of 250 = ?
  • a)
    912.75
  • b)
    915.75
  • c)
    913.75
  • d)
    918.75
  • e)
    916.75
Correct answer is option 'D'. Can you explain this answer?

Aarav Sharma answered
Given: 12.5% of 350 * 8.4% of 250

Calculation:

Step 1: Find 12.5% of 350
= (12.5/100) * 350
= 43.75

Step 2: Find 8.4% of 250
= (8.4/100) * 250
= 21

Step 3: Multiply the results of step 1 and step 2
= 43.75 * 21
= 918.75

Therefore, the answer is option D) 918.75.

  • a)
    6241
  • b)
    6889
  • c)
    6561
  • d)
    5929
  • e)
    None of thes
Correct answer is option 'C'. Can you explain this answer?

Anaya Patel answered
C is the correct option. Solution- 
4028÷53=76
6156÷76=81
So the value needed is a square of 81 which is 6561.

  • a)
  • b)
  • c)
    4
  • d)
  • e)
    None of these
Correct answer is 'C'. Can you explain this answer?

To solve 82/3, follow these steps:
  1. Interpret the fractional exponent:
    82/3 = (∛8)2
  2. Find the cube root of 8:
    ∛8 = 2
  3. Square the result:
    2² = 4
Correct Answer: C: 4

[(272-32)(124+176)]/(17*15-15) = ?
  • a)
    240
  • b)
    320
  • c)
    400
  • d)
    380
  • e)
    300
Correct answer is option 'E'. Can you explain this answer?

Aarav Sharma answered
Given expression: [(272-32)(124 176)]/(17*15-15)

Simplifying the expression step by step:

1. [(272-32)(124 176)] = 24000
2. (17*15-15) = 240
3. [(272-32)(124 176)]/(17*15-15) = 24000/240
4. [(272-32)(124 176)]/(17*15-15) = 100

Therefore, the correct answer is option 'E': 300.

  • a)
  • b)
  • c)
  • d)
  • e)
Correct answer is option 'C'. Can you explain this answer?

= we know,
(4-3+13-8)+(1/2 - 1/7 + 2/7 -1/4)
= 6 + 11/28

= option C 

(764 x ?) ÷ 250 = 382
  • a)
    135
  • b)
    125
  • c)
    115
  • d)
    145
  • e)
    None of these
Correct answer is option 'B'. Can you explain this answer?

Solution:

Given equation:

(764 x ?) ÷ 250 = 382

Solving for ?:

(764 x ?) = 382 x 250

? = (382 x 250) / 764

? = 125

Therefore, the value of ? is 125.

So, the correct answer is B: 125.

856 x 567 = ?
  • a)
    487064
  • b)
    484218
  • c)
    482784
  • d)
    485352
  • e)
    None of these
Correct answer is option 'D'. Can you explain this answer?

Sajal Bdw answered
An easy way (here) just multiply units digit of two number
6×7=42 so whatever the number will be it will have unit place 2 therefore the answer is D

8934 – 3257 + 481 = ? + 2578
  • a)
    3250
  • b)
    3580
  • c)
    3560
  • d)
    3480
  • e)
    3520
Correct answer is option 'B'. Can you explain this answer?

Preeti Khanna answered
Calculation:

- First, perform the subtraction: 8934 - 3257 = 5677
- Then, add 481 to the result: 5677 + 481 = 6158
- Finally, subtract 2578 from both sides to find the missing value: 6158 - 2578 = 3580

Therefore, the missing value is 3580. So, the answer is B: 3580.

16.23 * 12.9 + 17.32 =  ?
  • a)
    224.87
  • b)
    234.87
  • c)
    244.87
  • d)
    226.687
  • e)
    None of these
Correct answer is option 'D'. Can you explain this answer?

Aarav Sharma answered
**Calculation:**

To find the product of 16.23, 12.9, and 17.32, we can multiply the first two numbers and then multiply the result by the third number.

1. Multiply 16.23 and 12.9:
16.23 * 12.9 = 209.547

2. Multiply the result from step 1 by 17.32:
209.547 * 17.32 = 3631.15324

**Final Answer:**

The product of 16.23, 12.9, and 17.32 is approximately 3631.15324.

Therefore, the correct answer is option D) 226.687.

The sum of the digits of a two-digit number is 8. If the digits are reversed, the number is decreased by 54. Find the number.
  • a)
    42   
  • b)
    53  
  • c)
    17  
  • d)
    71  
  • e)
    None
Correct answer is option 'D'. Can you explain this answer?

Let the two-digit number be represented as 10a + b, where:
  • a is the tens digit.
  • b is the one digit.
According to the problem:
  1. The sum of the digits is 8:
    a+b=8
  2. When the digits are reversed, the number is decreased by 54. The number with reversed digits is 10b + a. So:
    10a+b−(10b+a)=54
    Simplifying this equation:
    10a+b−10b−a=54
    9a−9b=54
    a−b=6
Now, we have two equations:
  1. a+b=8
  2. a−b=6
Add these two equations:
(a+b)+(a−b)=8+6
2a = 14
a=7
Substitute a=7 into a+b=8:
7+b=8 , b = 1
So, the number is 10a+b=10×7+1=71
Answer: The number is 71.

Find the number in the unit place in (321)321 x (325)326.
  • a)
    1   
  • b)
    5  
  • c)
    6   
  • d)
    8
  • e)
    None
Correct answer is option 'B'. Can you explain this answer?

Faizan Khan answered
321 raised to 321=1 in unit digit and any number ending in 5 raised to any number has always 5 as unit digit, so 1×5=5

444 ÷ (16*1.5) = ?
  • a)
    14.5
  • b)
    16.5
  • c)
    18.5
  • d)
    20.5
  • e)
    None of these
Correct answer is option 'C'. Can you explain this answer?

Rhea Reddy answered
Given expression:
444 ÷ (16 × 1.5)
Step 1: Calculate the denominator
The denominator is: 16 × 1.5
16 × 1.5 = 24
Denominator = 24
Step 2: Divide the numerator by the denominator
Now divide: 444 ÷ 24 = 18.5
Final result = 18.5
The correct answer is: c) 18.5

Chapter doubts & questions for Simplification & Approximation - Mathematics for RRB Group D / RPF Constable 2025 is part of RRB Group D / RPF Constable exam preparation. The chapters have been prepared according to the RRB Group D / RPF Constable exam syllabus. The Chapter doubts & questions, notes, tests & MCQs are made for RRB Group D / RPF Constable 2025 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests here.

Chapter doubts & questions of Simplification & Approximation - Mathematics for RRB Group D / RPF Constable in English & Hindi are available as part of RRB Group D / RPF Constable exam. Download more important topics, notes, lectures and mock test series for RRB Group D / RPF Constable Exam by signing up for free.

Top Courses RRB Group D / RPF Constable