>> A sequence {An}is defined A(1)=0&A(n+1)=A(n)+2(n)WHAT IS VALUE OF A(100)(a)9902(B)9900(C)10100(D)9904
Last will be A (1) +2*99*98*.....1
Now put the value 1+2(1+2+......+99)
2+ 2*99(99+1)/2
=9902
>> The sequence {A (n)} is defined by A (1) =2 and A (n+1) =A (n) +2n. What is the value of a (100)
Let a=2, d=2, a.p formula find nth term i.e... TN=a+ (n-1) d
Where TN=100...
100=2+ (n-1)2 gives n=50.
Now sum of n terms n/2(a+l) =2550(ans).
>> In a sequence of integers, A(n)=A(n-1)-A(n-2),where A(n) is the nth
term in the sequence, n is an integer and n>=3, A(1)=1,A(2)=1.
Calculate S (1000), where S (1000) is the sum of first 1000 terms.
Ans: 3
>> In base 7, number is written only using digit0, 1, 6.a number 135in
base 7 is 1*7^2+3*7+5=75in base10.what is sum of base7
numbers1234&6543in base 7? (A) 11101(B) 11110(C) 10111(D) 11011
Ans: b) 11110
Explanation:
Convert the number from base 7 to base 10
Base 7(1234) = base 10(466)
Base 7(6543) = base 10(2334)
Sum of 466 + 2334 = 2800
Convert to base 7
Base 10 (2800) ===> 11110
>> M,N,O,P ARE DIFFERENT INDIVIDUAL M IS DAUGHTER OF N; MIS SON OF
P;WHICH FOLOWING TRUE (a)M IS DAUGHTER OF P (B)IF B IS DAUGHTER OF N
THEN M AND B ARE SISTER (b)IF C IS GRANDDAUGHTER OF O ,C AND M ARE
SISTERS(d)P AND N ARE BROTHER
>> Which of following true: A occur only B or C occur B occur D&E
occur if C not occur g occur if A and F occur option A occur whenever F
occur2) F never occur3) G not occur if D not occur (3584) 4) none of
these
>> House1 is older than H2, H3 is taller than H4, and H4 is older than
H1... (I)H1 is older than H3 (ii) H2 is taller than H4 (a) only 1 (b)
both (c) neither (d) only2
>> Apple costs L rupees per kilogram for first 30kgs and Q rupees per
kilogram for each additional kilogram. If the price of 33 kilograms is
11.67and for 36kgs of Apples is 12.48 then the cost of first 10 kegs of
Apples is
A) 3.50 b) 10.53 c) 1.17 d) 2.8
30L+3Q=11.67
30L+6Q=12.48
------------
3Q=.81 Q= .27
From that L=0.362 cost of 10 kg apple is 10*.362=3.6
>> The letters in the word ABUSER are permuted in all possible ways and
arranged in alphabetical order then find the word at position 49 in the
permuted alphabetical order?
A) ARBSEU
B) ARBESU
C) ARBSUE
D) ARBEUS
AB**** =4! = 24 ways
AE****=4! =24 ways next word is 49th so
AR**** in alphabetical order **** will be BESU
Ans is B
>> X,Y,W,Z ARE INTEGER THE EXPRESSION X-Y-Z IS EVEN&Y-W-Z ODD IF X
IS EVEN THEN WHICH OF FOLLOWING IS TRUE(a)Y MUST BE ODD(b)Y-Z MUST BE
ODD(c)W MUST BE ODD(d)Z MUST BE ODD
Ans. (c) W must be ODD
X-Y-Z=even and X even no.
Hence (y-z) must be even because (even -even = even)
And y-w-z=y-z-w=odd and (y-z) is even so W must be odd because (even - odd=odd)
Hence option (c) is correct
>> The milk and water in two vessels A and B are in the ratio 4 : 3 and
2: 3 respectively. In what ratio, the liquids in both the vessels are
mixed to obtain a new mixture in vessel C containing half milk and half
water?
Mr and Mrs smith had invited 9 of their friend and their spouses for
party at wiki beachresort.the stand for group photograph if Mr smith
never stand next to Mrs smith then how many way group arrange in row
(A) 20!
(B) 19! +18!
(C) 18*19!
(D) 2*19!
>> A father purchases dress for his three daughters. The dresses are of
same colour but of different size .the dress is kept in dark room .What
is the probability that all the three will not choose their own
dress... >> There are three buckets. Of 8, 5 n 3 litres...out of which only 8
ltr buckets is fully filled...u have to fill exact 4-4 ltr liquid in 8
and 5 litre bucket by using only these buckets in minimum number of
steps.
>> 16 meters per minute and rest for 2 minutes. If take has to reach
the top in exactly two hours. What is the maximum number of rests that
he can take?
A) 41 b) 42 c) 40 d) 43
>> There are 4 boxes colored red, yellow, green and blue. If 2 boxes
are selected, how many combinations are there for at least one green box
or one red box to be selected?
A) 1 b) 6 c) 9 d) 5 >>N! Have 13 zeros than what is the highest and lowest value of n??
65! Will have 13 +2= 15 zeros.55! , 56! .59! Will have 13 zeros. Lowest value of n=55 highest value of n =59
>> N is an integers and N>2 at most how many integers among N+2,N+4,N+5,N+6 and N+7 are prime integers?
A) 1, b) 3, c) 2, d) 4
If n=3 than 5 7 8 9 10 so prime no. 2
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