What is the difference between largest and smallest number of six digits?

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RRB NTPC Exam 27 Jan 2021 click here to view all questions

What is the difference between largest and smallest number of six digits?

A90000

B899999

C89999

D889999

Akhilesh ? Apr 3 '25 at 21:28

correct answer is: option b (899999)
Explanation: The largest six-digit number is 999999, and the smallest six-digit number is 100000. The difference between them is 999999 - 100000 = 899999.

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If x + y = 25 and xy = 35, then 1/x + 1/y =?

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RRB NTPC Exam 27 Jan 2021 click here to view all questions

If x + y = 25 and xy = 35, then 1/x + 1/y =?

A $$\frac{\sqrt{57}}{57}$$

B $$\frac{7}{5}$$

C $$\frac{5}{7}$$

D $$\frac{\sqrt{75}}{75}$$

Akhilesh ? Apr 3 '25 at 21:12

correct answer is: $\frac{5}{7}$
Explanation: To find $\frac{1}{x} + \frac{1}{y}$, we use the identity $\frac{1}{x} + \frac{1}{y} = \frac{x + y}{xy}$ Given $x + y = 25$ and $xy = 35$, we substitute these values into the equation: $$\frac{1}{x} + \frac{1}{y} = \frac{25}{35} = \frac{5}{7}$$ Thus, the correct answer is $\frac{5}{7}$

• OPTION A: Incorrect. $\frac{\sqrt{57}}{57}$ does not simplify to the correct value.
• OPTION B: Incorrect. $\frac{7}{5}$ is the reciprocal of the correct answer.
• OPTION C: Correct. $\frac{5}{7}$ matches the derived result.
• OPTION D: Incorrect. $\frac{\sqrt{75}}{75}$ simplifies to $\frac{\sqrt{3}}{15}$, which is not the correct value.

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The sum of two digits of a number is 10. If the digits are interchanged, then its value increases by 18. Find the number.

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RRB Non Technical Exam (Secunderabad) 2016 click here to view all questions

The sum of two digits of a number is 10. If the digits are interchanged, then its value increases by 18. Find the number.

A46

B64

C19

D28

rahim ? Jan 10 '2020 at 12:0

Correct answer is: 46

Explanation:

Let us assume the digits are x and y, so the number is written as "xy".

Sum of digits is 10, so

x + y = 10 ..........................(1)

as x is in 10s' place and y in units place the actual number is 10*x + y

when the digits are interchange (i.e number written as "yx") the actual number becomes 10*y+x

Given that interchanging increases the value by 18, so

(10*y+x) - (10*x + y) = 18

i.e 9*y - 9*x = 18

i.e y - x = 2 ............................. (2)

Adding (1) and (2) we get

2*y = 12

or y =6

Putting y = 6 in (1)

x + 6 = 10

or x =4

So the number is 10*x + y

i .e 10 * 4 + 6

or 46

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4/5 of a certain number is 64.half of the number is?

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RRB ASSISTANT LOCO PILOT (Patna) 2013 click here to view all questions

4/5 of a certain number is 64.half of the number is?

A40

B32

C80

D16

rahul ? Jan 15 '2020 at 9:12

Correct answer is: 40

Explanation:

Let the number be x

Therefore,
$\frac{4x}{5} = 64$
4x = 320
x = 80

Hence, $\frac{1}{2}$of the number = $\frac{1}{2} \times 80$= 40

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If each of the digits in the number '92581473' are arranged in ascending order, what will be the difference between the digits, which are fourth from the right and third from the left in the new arrangement?

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RRB ASSISTANT LOCO PILOT (Patna) 2013 click here to view all questions

If each of the digits in the number '92581473' are arranged in ascending order, what will be the difference between the digits, which are fourth from the right and third from the left in the new arrangement?

AOne

BTwo

CThree

DFour

rahul ? Jan 15 '2020 at 15:22

Correct answer is: Two

Explanation:

Ascending order 1 2 3 4 5 7 8 9
∴ Required difference = 5 - 3 = 2

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