Directions(1-5): Find the next term of the following series.
- 12,33,96,285,?
800852832844850Option B
12*3 – 3 = 33
33*3 – 3 = 96
96*3- 3 = 285
285*3 – 3 = 852 - 49,51,63,93,?,239
134114140126149Option E
49 + 1*2 = 51
51 + 3*4 = 63
63 + 5*6 = 93
93 + 7*8 = 149
149 + 9*10 = 239 - 13, 17, 33, 97, ? ,1377
333353321325347Option B
13 + 2^2 = 17
17 + 4^2 = 33
33 + 8^2 = 97
97 + 16^2 = 353
353 + 32^2 = 1377 - 5, 12, 33, 136, 675, ?
40024040405640044041Option C
5 * 2 + 2 = 12
12 * 3 – 3 = 33
33 * 4 + 4 = 136
136 * 5 – 5 = 675
675 * 6 + 6 = 4056 - 20, 10, 12, 24, 75, ?
325.5295.4347.7452.6312.2Option A
20 * 0.5 – 0 = 10
10 * 1.5 – 3 = 12
12 * 2.5 – 6 = 24
24 * 3.5 – 9 = 75
75 * 4.5 – 12 = 325.5 - Quantity I. 2x^2 + 19x + 44= 0
Quantity II.2y^2 + 3y – 20 = 0Quantity I <= Quantity IIQuantity I > Quantity IIQuantity I < Quantity IIQuantity I => Quantity IIQuantity I = Quantity II or relation cannot be established.Option A
Quantity I. 2x^2 + 19x + 44= 0
=>(x + 4) (2x + 11) = 0
=> x = -4 , -11/2
Quantity II.2y^2 + 3y – 20 = 0
=>(y + 4) (2y – 5) = 0
=>y = -4 , 5/2
Quantity I <= Quantity II - Quantity I.(x+y)^2 = 900
Quantity II.y + 1689 = 1705Quantity I = Quantity II or relation cannot be established.Quantity I > Quantity IIQuantity I => Quantity IIQuantity I <= Quantity IIQuantity I < Quantity IIOption E
Quantity I.(x+y)^2 = 900
=>(x + y)2 = 900
=>x + y = 30
=>x = 30 – 16 = 14
Quantity II.y + 1689 = 1705
=>y = 1705 – 1689 = 16
Quantity I < Quantity II - Quantity I. x^2 – 27x + 182 = 0
Quantity II. y^2 – 36y + 323 = 0Quantity I > Quantity IIQuantity I => Quantity IIQuantity I < Quantity IIQuantity I <= Quantity IIQuantity I = Quantity II or relation cannot be established.Option C
Quantity I. x^2 – 27x + 182 = 0
=>x^2 – 27x + 182 = 0
=>x = 14, 13
Quantity II. y^2 – 36y + 323 = 0
=>y^2 – 36y + 323 = 0
=>y = 17, 19
Quantity I < Quantity II - Quantity I.x^2 – 22x + 120 = 0
Quantity II. y^2 – 26y + 168 = 0Quantity I < Quantity IIQuantity I => Quantity IIQuantity I = Quantity II or relation cannot be established.Quantity I > Quantity IIQuantity I <= Quantity IIOption E
Quantity I.x^2 – 22x + 120 = 0
=> x(x-10) – 12(x-10) = 0
=> x = 10 , 12
Quantity II. y^2 – 26y + 168 = 0
=> y (y-14) -12(y-14) =0
=> y = 14 , 12
Quantity I <= Quantity II - Quantity I. x^2 + 13x + 42 = 0
Quantity II. y^2 + 19y + 90 = 0Quantity I = Quantity II or relation cannot be established.Quantity I < Quantity IIQuantity I <= Quantity IIQuantity I > Quantity IIQuantity I => Quantity IIOption D
Quantity I. x^2 + 13x + 42 = 0
=> x(x+7) +6 (x+7) = 0
=> x = – 7 , – 6
Quantity II. y^2 + 19y + 90 = 0
=> y(y+10) + 9(y+10) = 0
=> y = – 10 , – 9
Quantity I > Quantity II
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