Q1 ) find the wrong term in the series!!!!!also give the reason also@@@@

a)1,2,4,8,16,32,64,96

b)19,27,61,122,213,340,509

Q2) the difference between the ages of 2 person is 10 years.15 years ago,the elder one was twice as old as the younger one.the present age of the elder one is

1)25 years   b)35 years   c)45 years   d)55 years    @@@@@@@

 Answer1--->a)96 is a wrong term in the sequence because-à

The succeeding term in the sequence is the double of the preceding term. For eg->

1*2=2, 2*2=4

which doesn’t hold true for 96 since 64*2=128 which is not equal to 96.

b)122 is a wrong term because in this sequence because common difference of this sequence is not equal to preceding term like-à27-19=8, 61-27=34 which doesn’t holds true for 122,

122-61=61 which is not possible for this sequence.

 Q1)  a) The wrong term is 96. Here the common ratio between the terms is 2. The sequence is as follows  1, 1*2=4, 4*2=8, 8*2=16, 16*2=32...... So the last term should be 128 and not 96.

b) The first two terms are both wrong. they should be 5 and 24.

5    = (2*2*2) -3      24   = (3*3*3) -3      61   = (4*4*4) -3       122 =(5*5*5) -3        213 =(6*6*6) -3      340 =(7*7*7) -3  509 =(8*8*8) -3 

Q2) Let the ages of the two persons be x (elder) and y (younger) . therefore  x - y = 10    -(equation 1)

15 years ago,  their ages will be x-15 and y-15.  According to the given condition,  

x -15 = 2 (y-15) ,

i.e  x - 15 = 2y -30 ,

i.e. x - 2y = -15 (equation 2)

solving euations 1 and 2.

x = 35 and y=25 

So, the present age of the elder one is 35 years