51 + 52 + 53 + ...........+ 100

= (1 + 2 + 3 + .... + 100) - (! + 2 + 3 + ...... + 50)

=

= (5050 - 1275) = 3775

A) 322 | B) 319 |

C) 321 | D) 320 |

Explanation:

1 to 300 = 300 numbers

squares btwn 1 to 300 = 1,4,9,16,25,36,49.....289 i.e, total 17

cubes = 1,8,27,64,125,216 i.e, 5

now 1 and 64 are common so total numbers that should be removed ( 17+5-2= 20 )

total 20 term removed so 300th term would be 320

A) 11 | B) 17 |

C) 13 | D) 19 |

Explanation:

Since floor starts form the 1 therefore 2 will be the 1st floor.

Form 1 to 10 only 4,6,8,9,10 are not prime.

Form 11 to 20 only 14 ,16,18 are not prime also non of their digits are prime.

From 21 to 30 each number has a prime number so it must no be consider.

In between 40 to 49 we have to consider only 40,44,46,48,49.

50 to 59 follow either of the condition so we have too neglect it.

In between 60 to 68 60,64,66,68.

total option = 17.

A) 12 | B) 24 |

C) 36 | D) 6 |

Explanation:

Sum of Interior angle is 180 .

and it is given that interior angle is 150 more than exterior,

so let exterior angle is x then interior will be x+150

now , interior + exterior =180

x+150+x=180

x=15

now , number of sides of polygon = 360 / exterior angle

n = 360 / 15

n = 24

A) 21 | B) 11 |

C) 17 | D) 31 |

Explanation:

Let y be the total number of loaves

a be the remaining loaves after 1st thief

b be the remaining loaves after 2nd thief

and c, d..so on after 3 and 4 th

e = 0 be the remaining loaves after 5th thief

a = y - (y/2 + 1/2)

= y/2 - 1/2

b = a - (a/2 + 1/2)

= a/2 - 1/2

c = b - (b/2 + 1/2)

= b/2 - 1/2

d = c - (c/2 + 1/2)

= c/2 - 1/2

e = d - (d/2 + 1/2)

= d/2 - 1/2

we know that, e = 0,

thus by substitution, we get

d = 1

c = 3

b = 7

a = 15

y = 31

Therefore total number of bread loaves in bakery was 31.

A) 121 | B) 943 |

C) 462 | D) None |

Explanation:

Assume that the number is taken as XYZ.

Condition 1 => Z = sq.root(x) => Possible digits of X is 1,4,9

Condition 2 => Y = X + Z

X Y Z

1 2 1

4 6 2

9 12 3 => (wrong because it is 4 digit.)

and 121 is not divisible by 2

The answer is 462.