241. An automobile financier claims to be lending money at simple interest, but he includes the interest every six months for calculating the principal. If he is charging an interest of 10%, the effective rate of interest becomes :_________?

A. 10%
B. 10.25%
C. 10.50%
D. None of these
✅ The correct answer is option B. 10.25%.
Let the sum be Rs. 100. Then, S.I. for first 6 months = Rs. ( 100 X 10 X 1/100 X 2 ) = Rs. 5. S.I. for last 6 months = Rs. ( 105 X 10 X 1/100 X 2 ) = Rs. 5.25. So, amount at the end of 1 year=Rs.(100 + 5 + 5.25) = Rs. 110.25 Effective rate = (110.25 – 100) = 10.25%.

243. Two taps X and Y can fill a tank in 10 hrs. and 15 hrs.respectively.  If the both taps are opened together, the tank will be full in_________?

A. 3 hrs.
B. 4 hrs,
C. 5 hrs.
D. 6 hrs.
✅ The correct answer is option D. 6 hrs..
X’s 1 hour work = 1/10

Y’s 1 hour work = 1/15

(x+y)’s 1 hour work = 1/10+1/15=5/30=1/6

Both the taps can fill the tank in 6 hrs.

244. There are two circles of different radii. The area of a square is 196 sq.cm, whose side is half the radius of the larger circle. The radius of the smaller circle is three-seventh that of the larger circle. What is the circumference of the smaller circle ?

A. 12 π cm
B. 16 π cm
C. 24 π cm
D. 32 π cm
✅ The correct answer is option C. 24 π cm.
Radius of larger circle