if x⁴+y⁴+x²y²=21 and x²+y²-xy=7, then what is the value of  $${x\over y}+{y\over x}=?$$

Select the odd group of numbers. (NOTE: Operations should be performed on the whole numbers, without breaking down the numbers into its constituent digits. E.g.13 – Operations on 13 such as adding /subtracting /multiplying etc. to 13 can be performed. Breaking down 13 into 1 and 3 and then performing mathematical operations on 1 and 3 is not allowed)

Option

Three of the following letter-clusters are alike in some manner and hence form a group. Which letter-cluster does not belong to that group?

Direction: In the question below are given three statements followed by two conclusions numbered I and II. You have to take the given statements to be true even if they seem to be at variance with commonly known facts. Read all the conclusions and then decide which of the given conclusions logically follows from the given statements disregarding commonly known facts.

Statements:
 No grapes are lemons.
 Only a few lemons are apple.
 All apple are banana.

Conclusions:
 I. All lemons are banana.
 II. Some lemons are not banana.

Recently, what position has India got in the democracy index of 2020 released by EIU?

The cabinet has approved an investment of how much amount in the food processing industry under the Production Linked Incentive scheme?