Question : If $(a-2)+\frac{1}{(a+2)} =-1$, the value of $\left (a+2 \right )^{2}+\frac{1}{(a+2)^{2}}$ is:
Option 1: 7
Option 2: 11
Option 3: 23
Option 4: 27
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Correct Answer: 7
Solution : Given: $(a-2)+\frac{1}{(a+2)} =-1$ ⇒ $(a+2)+\frac{1}{(a+2)}=3$ (Adding 4 on both sides) Square both sides and use the formula, $(a+b)^2=a^2+b^2+2ab$ ⇒ $(a+2)^2+(\frac{1}{(a+2)})^2+2(a+2)(\frac{1}{(a+2)})=9$ ⇒ $(a+2)^2+(\frac{1}{(a+2)})^2+2=9$ ⇒$(a+2)^2+\frac{1}{(a+2)^2}=9-2$ ⇒$(a+2)^2+\frac{1}{(a+2)^2}=7$ Hence, the correct answer is 7.
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Question : Directions: In the following question, select the related word from the given alternatives. Summer : Aestivation :: Winter : ?
Option 1: Cache
Option 2: Hibernation
Option 3: Survival
Option 4: Activation
Question :
Direction: In the following question you have to identify the correct response from the given premises stated according to the following symbols.
Which of the following interchange of signs would make the given equation correct?
5 + 3 × 8 – 12 ÷ 4 = 3
Option 1: – and ÷
Option 2: + and ×
Option 3: + and ÷
Option 4: + and –
Question : Who finally approves the draft Five- year- plan ?
Option 1:
Planning Commission
Option 2:
President
Option 3:
National Development Council
Option 4: Parliament and State Legislature.
Question : What is the minimum age for becoming a Governor of state in India?
30 years
25 years
35 years
Option 4: 45 years
Question : The term of a Governor is
4 years
5 years
6 years
Option 4: 3 years
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