Bihar Board Class 8 Mathematics · Ch 2: Power Play
Bihar Board Class 8 Mathematics · Ch 2: Power Play is an online chapter test in the Bihar Board Class 8 pattern, covering Power Play. Attempt it on SeatBeat with a timer like the real exam, then see a detailed solution for every question and your score and weak-topic analysis.
Topics in this test
| Topic | Questions |
|---|---|
| Power Play | 30 |
Difficulty: 7 medium · 23 hard
Power Play MCQ questions with answers
The first 3 of 30 questions. Unlock the series for the rest, each with a solution.
Q1. Assertion (A): $(-3)^{-2}=\frac{1}{9}$. Reason (R): For any non-zero number $a$, $a^{-n}=\frac{1}{a^{n}}$. Choose the correct option:
अभिकथन (A): $(-3)^{-2}=\frac{1}{9}$। कारण (R): किसी भी अशून्य संख्या $a$ के लिए, $a^{-n}=\frac{1}{a^{n}}$। सही विकल्प चुनिए:
- A. Both A and R are true, but R is not the correct explanation of A / A और R दोनों सत्य हैं, परंतु R, A की सही व्याख्या नहीं है
- B. Both A and R are true, and R is the correct explanation of A / A और R दोनों सत्य हैं, तथा R, A की सही व्याख्या है
- C. A is false but R is true / A असत्य है परंतु R सत्य है
- D. A is true but R is false / A सत्य है परंतु R असत्य है
Solution
$(-3)^{-2}=\frac{1}{(-3)^2}=\frac{1}{9}$, which is exactly what the law in R states, so R correctly explains A.
$(-3)^{-2}=\frac{1}{(-3)^2}=\frac{1}{9}$, जो ठीक वही है जो R में दिया गया नियम कहता है, अतः R, A की सही व्याख्या करता है।
Q2. The number $4.7\times10^{-4}$ written in the usual (decimal) form is:
संख्या $4.7\times10^{-4}$ को सामान्य (दशमलव) रूप में लिखने पर प्राप्त होती है:
- A. $47000$
- B. $0.00047$
- C. $0.000047$
- D. $0.0047$
Solution
A power of $10^{-4}$ shifts the decimal point $4$ places to the left, giving $0.00047$.
$10^{-4}$ की घात दशमलव बिंदु को $4$ स्थान बाईं ओर खिसकाती है, जिससे $0.00047$ प्राप्त होता है।
Q3. If $5^{m}\div 5^{-3}=5^{5}$, then the value of $m$ is:
यदि $5^{m}\div 5^{-3}=5^{5}$ है, तो $m$ का मान है:
- A. $8$
- B. $-8$
- C. $-2$
- D. $2$
Solution
Dividing with the same base subtracts powers: $m-(-3)=m+3=5$, so $m=2$.
समान आधार से भाग देने पर घातें घटती हैं: $m-(-3)=m+3=5$, अतः $m=2$।
Frequently asked questions
How many questions are in the Bihar Board Class 8 Mathematics · Ch 2: Power Play?
30 questions for 30 marks, to be answered in 20 minutes.
Is there negative marking in the Bihar Board Class 8 Mathematics · Ch 2: Power Play?
No — wrong answers are not penalised in this test.
Which topics does the Bihar Board Class 8 Mathematics · Ch 2: Power Play cover?
Power Play (30 questions).
Is the Bihar Board Class 8 Mathematics · Ch 2: Power Play free?
It is part of the BSEB Class 8 Test Series 2027 — Chapter-wise + Full Tests (19 tests, ₹99). You can first try English · Ch 1: I Wonder for free.
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