7. Fill in the blanks with the right forms of the verb given in brackets. CSK- (win) the IPL championship for the fourth time. a) will b) won c) wins d) will wins
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A fair die is tossed repeatedly. `A` wins if if is 1 or 2 on two consecutive tosses and `B` wins if it is 3,4,5 or 6 on two consecutive tosses. The pr
Correct Answer - B Let `P(S)=P(1 or 2)=1//3` `P(F)=P(3or4or5or6)=2//3` `P(A "wins")=P[(SS orSFSSorSFSFSSor..)or(FSSorFSFFSSor...)]` `=((1)/(9))/(1-(2)/(9))+((2)/(27))/(1-(2)/(9))` `= 1/9xx9/7+2/27xx9/7` `=1/7+2/21=(3+2)/(21)=5/21` P(A swining)`=5/21,` P(B winning)`=16/21`
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A fair die is tossed repeatedly. A wins if it is `1` or `2` on two consecutive tosses and `B` wins if it is `3,4,5` or `6` on two consecutive tosses.
Correct Answer - C `(c )` Let event `S to A` is getting `1` or `2` Event `F to B` is getting `3,4,5,6` `P(S)=P(1 or 2)=1//3` `P(F)=P(3 or 4 or 5...
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Pipe A in fill a tank in 15 horurs Pipe A and Pipe B together can fill it in 10 hours Pipe B can fill 8 liters per minute. Find the capicity of the ta
Correct Answer - 14400 litres
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4. The value of \( \left(\frac{1}{2}\right)^{-2}+\left(\frac{1}{3}\right)^{-2}+\left(\frac{1}{4}\right)^{-2} \) is (a) \( \frac{61}{144} \) (b) \( \frac{144}{61} \) (c) 29 (d) none of these
Correct answer is:- (c) 29 Explanation:- 1/2-2 + 1/3-2 + 1/4-2 = 22 + 32 + 42 (x-1 = 1/x) = 4 + 9 + 16 = 29
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Fill in the blanks : Population have characteristic patterns of growth with time . Two contrasting types of growth forms are `………..` and `…………` .
Correct Answer - S-shaped (sigmoid ) , J-shaped
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The French women won the right to vote in
The French women won the right to vote in 1946
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All these are included in Right to Life i.e., Article 21 of the Indian Constitution. 1) Right to food 2) Right to employment
B) 1, 2 and 3
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A local cricket team played 20 matches in one season. It won 25% of them. How many matches did they win?
Correct Answer - 5 मैच
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Consider a particle of mass \( m \) having linear momentum \( P \) at position \( r \) relative to the origin \( O \). Which of the following equations correctly relates \( r , P , L \) ? a) \( \left[\left(\frac{d L}{d t}\right)+r x\left(\frac{d P}{d t}\right)\right]=0 \) b) \( \left[\left(\frac{d L}{d t}\right)-r x\left(\frac{d P}{d t}\right)\right]=0 \) c) \( \left[\left(\frac{d L}{d t}\right) \times\left(\frac{d r}{d t}\right) \times P\right]=0 \) d) \( \left[\left(\frac{d L}{d t}\right)-\left(\frac{d r}{d t}\right) \times P\right]=0 \)
Correct answer is (b) We know that \(\tau\) = r × F ∵ \(\tau\) \(= \frac{dL}{dt},\) \(F = \frac{dP}{dt}\) \(\left(\frac{dL}{dt}\right) = r \times \left(\frac{dP}{dt}\right)\) \(\left(\frac{dL}{dt}\right) - r \times \left(\frac{dP}{dt}\right) = 0\)
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