A) Only a follows | B) Both a & b follows |

C) Only b follows | D) Neither a nor b follows |

Explanation:

The situation can be tackled by periodic cuts in supply, and urging people to conserve water. So both the courses follow.

A) 22 | B) 37 |

C) 83 | D) 104 |

Explanation:

India’s space agency on Feb 15th, 2017 launched a record 104 satellites from a single rocket as it crossed another milestone in its low-cost space-exploration program. The satellites from seven countries were carried by the Indian Space Research Organization’s Polar Satellite Launch Vehicle on its 38th consecutive successful flight. On board was a 714kg satellite for earth observation and more than 100 smaller satellites weighing less than 10kg each. Three were Indian-owned, 96 were from US companies, and the rest belonged to companies based in Israel, Kazakhstan, the Netherlands, Switzerland and the United Arab Emirates. Most were owned by Planet Labs Inc, a US-based Earth-imaging company.

A) 6/19 | B) 3/10 |

C) 7/10 | D) 6/17 |

Explanation:

Here, S = {1, 2, 3, 4, ...., 19, 20}=> n(s) = 20

Let E = event of getting a multiple of 4 or 15

=multiples od 4 are {4, 8, 12, 16, 20}

And multiples of 15 means multiples of 3 and 5

= {3, 6 , 9, 12, 15, 18, 5, 10, 15, 20}.

= the common multiple is only (15).

=> E = n(E)= 6

Required Probability = P(E) = n(E)/n(S) = 6/20 = 3/10.

A) 426 | B) 428 |

C) 415 | D) 432 |

Explanation:

There are 600 Kabaddi players

4% wear knee band on one leg

Remaining players = 600 x 0.96 = 576

Of the remaining, 25% wear knee bands on both leg

and Of the remaining, 75% do not wear knee bands .

So players not wearing knee bands = 0.75 x 576 = 576 x 3/4 = 144 x 3 = 432.

A) 2893 | B) 4528 |

C) 6587 | D) 4875 |

Explanation:

For solving this problem first we would break the whole range in 5 sections

1) From 1 to 9

Total number of zero in this range = 0

2) From 10 to 99

Total possibilities = 9*1 = 9 ( here 9 is used for the possibilities of a non zero integer)

3) From 100 to 999 - three type of numbers are there in this range

a) x00 b) x0x c) xx0 (here x represents a non zero number)

Total possibilities

for x00 = 9*1*1 = 9, hence total zeros = 9*2 = 18

for x0x = 9*1*9 = 81, hence total zeros = 81

similarly for xx0 = 81

total zeros in three digit numbers = 18 + 81 +81 = 180

4) From 1000 to 9999 - seven type of numbers are there in this range

a)x000 b)xx00 c)x0x0 d)x00x e)xxx0 f)xx0x g)x0xx

Total possibilities

for x000 = 9*1*1*1 = 9, hence total zeros = 9*3 = 27

for xx00 = 9*9*1*1 = 81, hence total zeros = 81*2 = 162

for x0x0 = 9*1*9*1 = 81, hence total zeros = 81*2 = 162

for x00x = 9*1*1*9 = 81, hence total zeros = 81*2 = 162

for xxx0 = 9*9*9*1 = 729, hence total zeros = 729*1 = 729

for xx0x = 9*9*1*9 = 729, hence total zeros = 729*1 = 729

for x0xx = 9*1*9*9 = 729, hence total zeros = 729*1 = 729

total zeros in four digit numbers = 27 + 3*162 + 3*729 = 2700

thus total zeros will be 0+9+180+2700+4 (last 4 is for 4 zeros of 10000)

= 2893