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Question

What should come in place of the question mark in the following number series?

\(8^2+16^2-19^2=?^3-257\)

This question was previously asked in
HTET 2025 Level 1 PRT Question Paper (5-Jul-2026)
The correct answer is

6

The left side gives \(64+256-361=-41\). So \(-41=?^3-257\Rightarrow?^3=216\), and since \(6^3=216\), the missing number is \(6\).

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Similar Questions

  1. \(\dfrac{1.2 \times 10^3}{2.4 \times 10^{-4}}\) is written in the standard form as:

  2. If \(\dfrac{4}{3}\) of the difference of \(2\dfrac{1}{4}\) and \(1\dfrac{2}{3}\) is added to \(\dfrac{1}{2}\) of the difference of \(2\dfrac{1}{3}\) and \(1\dfrac{2}{7}\), then result is:

  3.  \(\left(\frac{-1}{5}\right)^{-4}\times\left(\frac{-1}{25}\right)^{-2}\times\left(\frac{-1}{2}\right)^{-6}\times\left(\frac{-1}{4}\right)^{-3}\) as a power of product of rational numbers with positive exponent.

  4. Square root of \(\frac{0.081}{0.0064}\times\frac{0.484}{6.25}\times\frac{2.5}{12.1}\) is:

  5. The value of \(2\frac{3}{5}\div\left[2\frac{1}{3}\div\left\{4\frac{1}{3}-\left(2\frac{1}{2}+\frac{2}{3}\right)\right\}\right]\) is equal to:


Important Questions from Number System

  1. Consider the following statements :

    1. (25)! + 1 is divisible by 26

    2. (6)! + 1 is divisible by 7

    Which of the above statements is/are correct ?

  2. If the sum S is divided by 8, what is the remainder ?  

  3. If the sum S is divided by 60, what is the remainder ?

  4. Find the sum of squares of the greatest value and the smallest value of K in the number so that the number 45082K is divisible by 3.

  5. How many composite numbers are there from 53 to 97 ?

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