Veto q&a 7 Month22 (1)

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Q nn ( + 1) given by = 2 × = 100 101 = 50 x 101 2 101 is an odd number and 50 is divisible by 2. Hence, 50 x 101 will be divisible by 2 The sum of third and ninth term of an AP is 8. Find the sum of the first 11 terms of the progression a) 44 b) 22 c) 19 d) none ans: a) 44 The 3 rd term t 3 = a + 2d The 9 th term t 9 = a + 8d t 3 + t 9 = 2a + 10d = 8 Sum of first 11 terms of an AP is given by 11 Sn = ( 2a× 10d) 2 11 Sn = × 8 = 44 2 Q Find the AP whose 10 th term is 5 and 18 th term is 77 a) -77, -67 b) -67, -57 c) 76, 67 d) none ans: a) -77, -67 Given, 10 th term of an AP = 5 a + (n-1)d = 5 a+(10-1)d = 5 ⇒a+9d = 5 - - - - - - (1) and 18 th term = 77 a + (n-1)d = 77 a+(18-1)d = 77 ⇒a+17d = 77 - - - - - - (2) (2) - (1), 8d = 72 ∴ d = 9 Substituting the value of d = 9 in (1) a + 81 - 5, a = 5-81 = -76 ∴ The AP is -76, -67 Q The sum of n terms of an AP is 3n2 + n. Find the n th term a) 6n-4 b) 6n-2 c) 4n-4 d) 4n-2 ans: b) 6n-2 Q&A Bonus @hang out Q Q Given Sn = 3n 2 +n, Put n = 1, 2 S 1 = 3x1 2 + 1 = 4 T 1 = 4 S 2 = 3 x 2 2 + 2 = 14 T 2 = S 2 - S 1 =14 - 4 = 10 ∴ d = T 2 - T 1 = 10 - 4 = 6 ∴ Tn = a + (n-1)d = 4+ (n-1)6 = 6n-2 Find the sum of the following series 72 + 70 + 68 + ........... + 40 a) 886 b) 918 c) 952 d) 988 ans: c) 952 2018 April The gives series is 72 + 70 + 68 + ............ + 40 a = 72, d = -2, n th term = 40 We know that n th term = a+(n-1)d Putting values of a, d, and n th term 40 = 72 + (n-1)(-2) = 74 -2n or 2n = 34 ∴ n = 17 n Now we know that : Sn = ( a + 1) 2 17 17 S17 = ( 72 + 40) = ( 112) 2 2 = 17 x 56 = 952 Find the sum of lthe following series 3 + 7 + 11 + 15 + ...... to 30 terms a) 1920 b) 1830 c) 1970 d) 1740 ans: b) 1830 a= 3, d = 4, n = 30 n We know that Sn = 2 a+ ( n−1) d 2 S 30 30 = 2 × 3 + (30 − 1)(4) 2 ( ) = 15 (6+116) = 1830 ( ) Justice movement was started by - mudaliar and tyagaraja 41
Q & A @scientech White Snow and chinese White Q The study of metals metals A. metallurgy Q The elements which lose electrons in Chemical reaction are called A. metals • Metals are electro positive elements mercury Q ‘Minamata’ disease is due to (University Assistant - 2016) A. mercury (Hg) Hg: Hydragyrum Q Atomic number of Mercury A. 80 Q Mercury used instruments A. thermometers, Barometers, Sphygmomanometers Q Measuring Unit of Mercury A. Flask • One flask = 34.5 kg • Melting Point = -39 0 C Q Metal having lowest melting point A. mercury (-39 0 c) Q Special class alloy of Mercury A. amalgam Q The metal known as Quick Silver A. mercury Q The anomalous metal seen in liquid form in room temperature A. mercury asst toP geaR Dhanya B.l., Surej chandran.i.J Q First known Super Conductor A. mercury Q What is the other names of Mercuric Sulfide A. cinnabar, vermilion Silver amalgam is used as Dental filling tin amalgam is used in mirror ore cinnabar, mercuric, Sulfaid Q Structure of Mercury A. Rombohedral Q Half life of Hg 194 A. 444 years Q&a Pin Point mercury atomic no. - 80 group - group 12 Period - Period 6 Block - D block Phase - liquid Symbol - Hg Q The red ore of Mercury A. cinnabar Sodium Q Chemical name of ‘baking Soda’ (Woman Police Constable - 2011) A. Sodium Bicarbonate Q Sodium was discovered by A. Humphry Davy (1807) Q Sodium is kept in A. Kerosene 44 Q&AUbdn current affairs & gk www.vetopsc.org follow us: facebook.com/vetotrivandrum
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