The average marks of a student in 5 subjects are 40. If the highest and the lowest scores are not considered, the average is 41. If the highest score is 46, find the lowest score.
एक छात्र के 5 विषयों में औसत अंक 40 हैं। यदि उच्चतम और निम्नतम अंकों को सम्मिलित नहीं किया जाता है, तो औसत 41 है। यदि उच्चतम अंक 46 है, तो निम्नतम अंक ज्ञात करें।
Three taps A, B and C can fill a tank in 18, 21 and 27 hours respectively. If A is open all the time and B and C are open, for one hour each alternately, then in how many hours the tank will be full?
तीन नल A, B और C एक टंकी को क्रमशः 18, 21 और 27 घंटे में भर सकते हैं। यदि A हर समय खुला रहता है और B और C बारी-बारी से एक-एक घंटे के लिए खुले हैं, तो टंकी कितने घंटे में भर जाएगी?
What should come in place of question mark (?) in the following number series?
184, 50, 16.5, 8.125, 6.031, ?
3, 163, 243, 283, 303, ?
21, 22, 30, 39, 103, ?
In each question, two equations numbered I and II are given. You have to solve both the equations and mark an appropriate answer
I. $4 x^{2}+10 \sqrt{23} x+138=0$
II. $6 y^{2}+7 \sqrt{23} y-460=0$
I. $12 x^{2}+31 \sqrt{2} x-52=0$
II. $18 y^{2}+15 \sqrt{2} y-66=0$
I. $8 x^{2}-45 \sqrt{3} x+75=0$
II. $3 y^{2}-41 \sqrt{3} y+390=0$
I. $16 x^{2}+26 \sqrt{53} x+159=0$
II. $15 y^{2}+9 \sqrt{53} y-318=0$
I. $14 x^{2}+240 \sqrt{7} x+238=0$
II. $18 y^{2}-132 \sqrt{7} y+294=0$
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