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If sumn = 55 then sumn^2 . = ..............

If `sumn = 55` then `sumn^2` . = ...............

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Let x_1,x_2,x_3,………,x_n be n observations . Let W_i = lx_i + k for i=1,2,……,n, where l and k are constants. If the mean of x_i's is 48 and their standard deviation is 12, the mean of w_i's is 55 and standard deviation of w_i's is 15, the values of l and k should be ..........

R_1={(x,y)|y=2x+7,yin R and x in [-5,5]} Then range of R_1 …...... .

In DeltaABC,angleB=55^(@) and angleC=65^(@) . Then the measure of an exterior angle of DeltaABC cannot be .............

Find the sum of the following series up to n terms: (i) 5+55+555+...... (ii) .6+.66.+.666+.............

Fill in the blanks so as to make each of the following statements true : In triangleABC, /_B= 90^(@) . If AC= 73 cm and BC= 55 cm, then AB="……….."cm .

Angle made by the the arc of length 55 cm at center is ......if length of radius is 25 cm

The altitude through A of DeltaABC meets BC at Dand the circumscribed circle at E. If D = (2, 3), E = (5,5) , the ordinate of the orthocentre being a natural number. If the probability that the orthocentre lies on the lines y =1; y = 2; y = 3......y = 10 is m/n where m and n are

Which of the following are GP? If they are in G.P. Write next three terms? (i) 4,8,16,….. (ii) 1/3, -1/6, 1/12, ……. (iii) 5,55,555,…….. (iv) -2, -6, -18 ,…….. (v) 1/2, 1/4, 1/6 ,……. (iv) 3,- -3^(2), 3^(3) ,…….. (vii) x,1,1/x ,......... (x ne 0) (viii) 1/sqrt(2), -2, 4sqrt(2) ,.......... (ix) 0.4, 0.04, 0.004,........

When a voltameter is connected across a battery which is connected with external resistance 280 Omega to measure its emf, it reads 1.4 V. Now when this emf is measured by potentiometer, it is measured as 1.55 V. Now if maximum power is to be spent in the external resistance then its value should be made equal to ...... .

KUMAR PRAKASHAN-OBJECTIVE SECTION AS PER NEW PAPER SCHEME -Sequence and Series (Fill in the blanks )
  1. 12 is arithmetic mean between x and 22 then x = ............

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  2. 10 arithmetic mean between a and b are A(1),A(2),A(3).........A(10) th...

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  3. If sumn = 55 then sumn^2 . = ...............

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  4. sum(r=1)^n(2r+1)=...... .

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  5. Sum of the series 1-(1)/(2)+1/(2^2)-1/(2^3)+............oo=.........

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  6. .......... is the 20^(th) term of sequence a(n)=(n-1)(2-n) (n-3).

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  7. 3,(9)/(2),6,(15)/2 ............ Sequence has 10^(th) term a(10) = .......

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  8. 9^(th) term of arithmetic sequence is 30 then sum of its 17 terms .......

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  9. Third term of arithmetic sequence is 9 and tenth term is 21. Then sum ...

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  10. For arithmetic sequence a = 2 and a5 = 14 then d = ........

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  11. For arithmetic sequence a(8) =23 common difference d = 5 then a = .......

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  12. For arithmetic sequence

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  13. For an A.P a = 20 and l = 97 then S(20)= ..........

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  14. If a, b, and c are in A.P then (a + 2b -c) . ( 2b +c-a) . (c+a-b) = .....

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  15. For arithmetic sequence a(1),a(2),a3 ........ If a(1)+a(5)+a(10)+a(15)...

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  16. If 25, x - 6 and x - 12 are in G.P then x = .......... or ......... .

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  17. Third term of G.P. is 3 then product of its first 5 terms is ............

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  18. Eighth term of G.P is 128 and common ratio is r = 2 then product of fi...

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  19. For an G.P. a = 16 and fifth term is 81 then common ratio ........

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  20. How many terms of G.P. 3, 3^2, 3^3, … are needed to give the sum 120?

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