Question : What is the effective resistance (in Ω) of two resistors 20 Ω and 30 Ω connected in parallel?

Option 1: 50

Option 2: 12

Option 3: 24

Option 4: 25

Question : Divide 50 into two parts so that the sum of their reciprocal is $\frac{1}{12}$.

Option 1: 35 and 15

Option 2: 20 and 30

Option 3: 24 and 36

Option 4: 28 and 22

Question : Two numbers are in the ratio of 2 : 3. If their sum is 125, find the numbers.

Option 1: 50 and 75

Option 2: 24 and 36

Option 3: 20 and 30

Option 4: 32 and 78

Question : A direct common tangent is drawn to two circles of radius 25 cm and 20 cm. The centres of the two circles are 35 cm apart. What is the length (in cm) of the tangent?

Option 1: $25 \sqrt{2}$

Option 2: $25 \sqrt{3}$

Option 3: $20 \sqrt{3}$

Option 4: $20 \sqrt{2}$

Question : In a completely connected network, how many lines are required for connecting 6 nodes?

Option 1: 12

Option 2: 15

Option 3: 30

Option 4: 24

Question : A wire of resistance R is cut into 'n' equal parts. These parts are then connected in parallel. The equivalent resistance of the combination will be

Option 1: nR

Option 2: R/n

Option 3: n/R

Option 4: R/n²