Correct Answer: 21

Solution : Width of the circular path = 64 cm
Diameter of the circular garden = 10m = 1000 cm
The radius of the circular garden = $\frac{1000}{2}$ = 500 cm
Inner radius, $r$ = 500 cm 
Outer radius, $R$ = (500 + 64) = 564 cm
Area of path = Outer area – Inner area
= $\pi (R^2-r^2)$
= $\frac{22}{7} \times (564^2 - 500^2)$
= $\frac{22}{7} \times (564 + 500)(564 - 500)$
= $\frac{22}{7} \times 1064 \times 64$
= $214016 $ cm²
= $21.4016\approx 21$ m²
Hence, the correct answer is 21.

Correct Answer: French

Solution : The correct option is French.

Mallika Sarabhai, an Indian classical dancer, was honoured by the French government with the Chevalier des Palmes Académiques in 2005. The Chevalier des Palmes Académiques is a French order bestowed to recognise significant contributions to the field of education and culture.

Correct Answer: E

Solution : According to the question
Percentage of girls in a school= $\frac{\text{Number of girls}}{\text{Total number of students}}$ × 100
In school A, percentage of girls = $\frac{500}{1100}$ × 100 = 45.4%
In school B, percentage of girls = $\frac{550}{1000}$ × 100 = 55%
In school C, percentage of girls = $\frac{650}{1400}$ × 100 = 46.4%
In school D, percentage of girls = $\frac{600}{1300}$ × 100 = 46.1%
In school E, percentage of girls = $\frac{650}{1450}$ × 100  = 44.8%
So, school E has a minimum percentage of girls. 
Hence, the correct answer is E.

Correct Answer:

Solution : Based on the general information, the lens is used in the spectacles. So, the circle that represents the lens will lie inside the circle that represents spectacles. But, the mirror is not related to spectacles and lenses. So, the circle that represents the mirror will be drawn separately from the other two circles.
Therefore, the Venn diagram is as follows –

Hence, the fourth option is correct.

Correct Answer: 570

Solution : Total number of people = 2500
People who have saving habit is 60% = $\frac{60}{100}$ × 2500 = 1500
People who saves with bank is 30% = $\frac{30}{100}$ × 1500 = 450
People who saves with post office is 32% = $\frac{32}{100}$ × 1500 = 480
Remaining people who save with share = 1500 –  450 – 480 = 570
Hence, the correct answer is 570.

Correct Answer: 1,00,000

Solution : Let the present value of the motorcycle be $x$.
Value after 2 years $= x × (1-\frac{R}{100})^2$, where $R$ is the rate.
So, $84640 = x × (1-\frac{8}{100})^2$
⇒ $84640 = x × (\frac{23}{25})^2$
⇒ $x =84640 \times \frac{25\times 25}{23 \times 23}$
$\therefore x= 1,00,000$
Present Value = Rs. 1,00,000
Hence, the correct answer is 1,00,000.

Correct Answer: 13

Solution : Given:
The number which when added to itself 14 times gives 195.

Let the number be x
According to the question –
x + 14x = 195
15x = 195
x = 13

Therefore, the number is 13. Hence, the second option is correct.

Correct Answer: C

Solution : Given:
(I) Only 2 people sit to the right of D. G is an immediate neighbour of D. Only 3 people sit between A and G. F sits to the immediate right of G.

(II) Only 2 people sit between B and C. E is not an immediate neighbour of C.

So, C sits to the immediate left of A. Hence, the second option is correct.

Correct Answer: China

Solution : The correct option is China

Muhammed bin Tughlaq ruled over Northern India between 1325 to 1351. He is famous for his administrative and economic reforms. He established the Token Currency System in medieval India. Paper money that the then-ruling Chinese emperor Kublai Khan produced served as the model for the token currency. Bronze tankas were introduced and declared to be worth the same as silver tankas by Muhammad bin Tughlaq.

Correct Answer: SRUF

Solution : Given:
BEST : WVHE :: CROP : ?

Follow the pattern to obtain the required code –

Thus, BEST is coded as WVHE.
Similarly, follow the same pattern for CROP –
 

Thus, CROP is coded as SRUF. Hence, the second option is correct.