The product of a number and its reciprocal is always equals to 1.

For Example : Let the number be 4.

Now, its reciprocal is 1/4

Hence, required product = 4 x 1/4 = 1.

Now, take the number as -15.

Then its reciprocal is -1/15

Required product = -15 x -1/15 = 1.

Hence, the product of a number and its reciprocal is 1.

The given number series is 

71      88       113       150       203          277

   +17    +25       +37      +53        +74

        +8      +12        +16       +21

            +4          +4         +5

The series should be  71  88  112   150    203   276 i.e, the differences of the difference should be +4.

Hence, the odd man in the given series is 277.

Total number of female members = 115

Let the number of males = x

Number of females = y

=> x + y = 115  ......(1)

According to the given data,

x + y(0.50) = 69 ......(2)

From (1) & (2), we get

0.5y = 46

=> y = 46 x 2 = 92

=> x = 115 - 92 = 23

Hence, required number of gentlemen in the family = x = 23.

Upto now, India has won 28 medals in Olympics from 1896 - 2016. In that

Rio Olympics 2016  - 02

Beijing Olympics 2008 - 03

London Olympics 2012 - 06

Athens Olympics 2004 - 01

Hence, India has won most number of medals in 2012 Rio Olympics.

The given number series 11, 13, 30, 96, ? follows a pattern that,

11

11 x 1 + 2 = 13

13 x 2 + 4 = 30

30 x 3 + 6 = 96

96 x 4 + 8 = 392

Hence, the next number in the given series is 392.

Given number series follows a pattern that,

2

2 x 1.5 + 1 = 4

4 x 1.5 + 1 = 7 (not equal to 8)

7 x 1.5 + 1 = 11.5

11.5 x 1.5 + 1 = 18.25

18.25 x 1.5 + 1 = 28.375

Hence, the odd number in the given number series is 8.

The reciprocal of a negative number is always a negative number. So that the number and its reciprocal multiply to 1. 

All real numbers except 0 have reciprocals.

FALSE. Basophils number will not be increased when parasitic invasion occurs.

Basophils are a type of white blood cell. Although they're produced in the bone marrow, they're found in many tissues throughout your body. They're part of your immune system and play a role in its proper function.

Basophils appear in many specific kinds of inflammatory reactions, particularly those that cause allergic symptoms. If your basophil level is low, it may be due to a severe allergic reaction.

Basophils contain anticoagulant heparin, which prevents blood from clotting too quickly. They also contain the vasodilator histamine, which promotes blood flow to tissues.