MATHEMATICAL PUZZLES

1.    The smallest integer that can be written with two digits are:
    a)1/1,2/2,3/3,…..9/9    b) 09    c) 01    d) 10

2.    The biggest number that can be written with four 1s is:
a)    1111    b)    285311670611    c) 1221    d) 1331

3.    1,3,6,10,………   the next three numbers in the series are:
a)    11,12,13    b) 15,12,17    c) 15,21,28    d) 14,18,22

4.    Which is the smallest positive prime which is some multiple of seven less than a cube of a counting numbers less than ten?
a)    5      b) 6      c) 3      d)7

5.    Change a rupee note in such a way that there are exactly fifty coins. No 2 paise coins is
a)    45p,2(5)p,2(10)p,1(25)p  b) 50p,50p  c) 25p,25p,25p,25p  d)10(10)p

6.    Is it possible that there are 53 Tuesdays in a non-leap year? What is the probability?
a) 1/6      b) 1/7      c)2/6      d)2/7
7.    A cylindrical container has a radius of eight inches with a height of three inches. Compute how many inches should be added either the radius or height to give the same increase in volume?
a)16      b) 3      c)16/3      d) 9 

8.    Supposing six coins are flipped, what is the probability of at least getting one tail?
a)    36      b) 63      c) 64      d) 63/64

9.    Can you divide 1000 into two parts such that one part is a multiple of 47 & the other a multiple of 19?
a) 18, 14      b)81, 41      c)11, 12      d)21, 18

10.    S434S0. What number must be substituted with ‘S’ to make it divisible by 36?
a) 18      b) 8      c) 9      d) 7

11.      The Armstrong number among the following are:
a) 375,251      b) 257,655      c) 370,371      d) 153,165

12.      Write 1789 in roman figures:
a) MMDDCCDD    b)XXXXIIILL     C) DDDDDXXX     d)MDCCLXXXIX

13.       1408 hour equals to
a) 8minutes past 2P.M. b) 10 minutes past 5 P.M c) 15 minutes 4 P.M
d) 7minutes

14.      Name the following series:  1+1/2+1/3+1/4+1/5+1/6+1/7+1/8+1/9
a) arithmetic progression      b) harmonic progression      c) geometric progression d)none

15.    Is a ‘size16’ knitting needle twice as thick as a ‘size8’ knitting needle?
a)yes      b)none      c) no                               
16.    Find out the missing term. 48,60,58,72,68,104……..
a) 87, 611      b) 23, 07      c) 161, 87      d) 78, 116

17.     1757051. Is it a prime number?                                                                                          a) no  b)yes

18.     1,2,3,4,5,6,7,8,9. Arrange these numbers with +/- to obtain result as 100
a)1+2+3+4+5+6+7+8+9   b)123-45-67+89   c) 12+34+56+78+9   d) none

19.    What is the probability that 6 cards drawn at random will all be black card?
a)    253 b) 223 c) 253/22372 d)22372

20.    Vikram chadda has 2 children, and at least one of them is a girl. What is the probability that both children are girls?
a) 1      b)3      c) 3/1      d)1/3

21.     (100-1)(100-2)(100-3)…………………….(100+1)(100+2)(100+3) =    ?
a)0      b)1      c)2      d)3

22.     What do you call two circles which cut ‘right’ across each other?
a)concentric      b)orthogonal      c) intrinsic      d) extrinsic

23.    O.T.T.F.F.S.S.E.N. what will be the next nine letters?
a)N.E.S.S.F.F.T.T.O      b) F.F.T.T.E.N.T.O      c) T.E.T.T.F.F.S.S.E.      d) none
24.    What is the distance between earth and the sun?
a) 150km     b)510km      c)15000km      d)150*106 km

25.    What are the 3 integers in arithmetic sequence whose product is prime?
a)-3,-1,1      b)1,1,1      c) 3,1,1      d)none
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