Find the odd man out.
3,5,7,12,13,17,19
Answer :
12
Explanation : All but 12 are odd numbers
2,5,10,17,26,37,50,64
Answer :
64
Explanation : 2+3=5; 5+5=10; 10+7=17; 17+9=26; 26+11=37; 37+13=50; 50+15=65;
105,85,60,30,0,-45,-90
Answer :
0
Explanation : 105-20=85; 85-25=60; 60-30=30; 30-35=-5; -5-40=-45; -45-45=-90;
What is the number of zeros
at the end of the product of the numbers from 1 to 100?
Answer :
127
A fast typist can type some
matter in 2 hours and a slow typist can type the same in 3 hours. If both type
combinely, in how much time will they finish?
Answer :
1 hr 12 min
Explanation : The fast typist's work done in 1 hr = 1/2
The slow typist's work done in 1 hr = 1/3
If they work combinely, work done in 1 hr = 1/2+1/3 = 5/6
So, the work will be completed in 6/5 hours. i.e., 1+1/5 hours = 1hr 12 min
Gavaskar's average in his
first 50 innings was 50. After the 51st innings, his average was 51. How many
runs did he score in his 51st innings. (supposing that he lost his wicket in his
51st innings)
Answer :
101
Explanation : Total score after 50 innings = 50*50 = 2500
Total score after 51 innings = 51*51 = 2601
So, runs made in the 51st innings = 2601-2500 = 101
If he had not lost his wicket in his 51st innings, he would have scored an
unbeaten 50 in his 51st innings.
Out of 80 coins, one is
counterfeit. What is the minimum number of weighings needed to find out the
counterfeit coin?
Answer : 4
What can you conclude from
the statement : All green are blue, all blue are red. ?
(i) some blue are green
(ii) some red are green
(iii) some green are not red
(iv) all red are blue
(a) i or ii but not both
(b) i & ii only
(c) iii or iv but not both
(d) iii & iv
Answer :
(b)
A rectangular plate with
length 8 inches, breadth 11 inches and thickness 2 inches is available. What is
the length of the circular rod with diameter 8 inches and equal to the volume of
the rectangular plate?
Answer :
3.5 inches
Explanation : Volume of the circular rod (cylinder) = Volume of the rectangular
plate
(22/7)*4*4*h = 8*11*2
h = 7/2 = 3.5
What is the sum of all
numbers between 100 and 1000 which are divisible by 14 ?
Answer :
35392
Explanation : The number closest to 100 which is greater than 100 and divisible
by 14 is 112, which is the first term of the series which has to be summed.
The number closest to 1000 which is less than 1000 and divisible by 14 is 994,
which is the last term of the series.
112 + 126 + .... + 994 = 14(8+9+ ... + 71) = 35392
If s(a) denotes square root
of a, find the value of s(12+s(12+s(12+ ...... upto infinity.
Answer :
4
Explanation : Let x = s(12+s(12+s(12+.....
We can write x = s(12+x). i.e., x^2 = 12 + x. Solving this quadratic equation,
we get x = -3 or x=4. Sum cannot be -ve and hence sum = 4.
A cylindrical container has
a radius of eight inches with a height of three inches. Compute how many inches
should be added to either the radius or height to give the same increase in
volume?
Answer :
16/3 inches
Explanation : Let x be the amount of increase. The volume will increase by the
same amount if the radius increased or the height is increased.
So, the effect on increasing height is equal to the effect on increasing the
radius.
i.e., (22/7)*8*8*(3+x) = (22/7)*(8+x)*(8+x)*3
Solving the quadratic equation we get the x = 0 or 16/3. The possible increase
would be by 16/3 inches.
With just six weights and a
balance scale, you can weigh any unit number of kgs from 1 to 364. What could be
the six weights?
Answer :
1, 3, 9, 27, 81, 243 (All powers of 3)
Diophantus passed one sixth
of his life in childhood, one twelfth in youth, and one seventh more as a
bachelor; five years after his marriage a son was born who died four years
before his father at half his final age. How old is Diophantus?
Answer :
84 years
Explanation : x/6 + x/12 + x/7 + 5 + x/2 + 4 = x
If time at this moment is 9
P.M., what will be the time 23999999992 hours later?
Answer :
1 P.M.
Explanation : 24 billion hours later, it would be 9 P.M. and 8 hours before that
it would be 1 P.M.
How big will an angle of one
and a half degree look through a glass that magnifies things three times?
Answer :
1 1/2 degrees
Explanation : The magnifying glass cannot increase the magnitude of an angle.
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