Question : If $(\frac{1}{5})^{3y}=0.008$, then the value of $(0.25)^{y}$ is:

Option 1: 0.25

Option 2: 6.25

Option 3: 2.5

Option 4: 53

Question : If the LCM of two numbers a and b is 60 and their HCF is 15. Determine their mean proportion.

Option 1: 30

Option 2: 25

Option 3: 60

Option 4: 4

Question : Directions: A graph showing the price of rice in India during the years 2000 to 2003 is given below. Study the graph carefully and answer the questions.

The month in which the price of rice was equal for the year 2000 and 2001 was:

Option 1: September

Option 2: August

Option 3: June

Option 4: November

Question : Directions: A family consists of six members A, B, C, D, E, and F. There are two married couples. B is a doctor and the father of E. F is the grandfather of C and is a contractor, and D is the grandmother of E and is a housewife. There is one doctor, one contractor, one nurse, one housewife, and two students in the family. What is the profession of A?

Option 1: Doctor

Option 2: Contractor

Option 3: Nurse

Option 4: Housewife

Question : How many medals in total did India win at the Summer Olympic Games in 2012?

Option 1: 2

Option 2: 6

Option 3: 3

Option 4: 4

Question : The SI (International System of Units) unit of length is______.

Option 1: metre

Option 2: centimetre

Option 3: millimetre

Option 4: kilometre

Question : The curved surface area of a cone whose base radius is 7 cm and slant height is 10 cm is:

Option 1: 280 cm²

Option 2: 250 cm²

Option 3: 300 cm²

Option 4: 220 cm²

Question : In $\Delta \mathrm{ABC}$, a line parallel to side $\mathrm{BC}$ cuts the sides $\mathrm{AB}$ and $\mathrm{AC}$ at points $\mathrm{D}$ and $\mathrm{E}$ respectively and also point $\mathrm{D}$ divides $\mathrm{AB}$ in the ratio of $\mathrm{1 : 4}$. If the area of $\Delta \mathrm{ABC}$ is $200\;\mathrm{cm^2}$, then what is the area (in $\mathrm{cm^2}$) of quadrilateral $\mathrm{DECB}$?

Option 1: 192

Option 2: 50

Option 3: 120

Option 4: 96

Question : Comprehension:
Read the given passage and answer the questions that follow.

Ghana was the first true African state. The reason why we are saying this is that most African states lived in tribal villages but Ghana was the centre of the gold trade. This gold trade opened new possibilities for the Ghanaians. The gold trade roots back to the 4th century, when African Soninke tribes were under the rule of the Maga, a Berber clan originating from Morocco. This clan has mastered trans-Saharan camel travel. They were known for trading salt for gold from the Soninke.

When the Arabs invaded North Africa, there was an upsurge in the trade in gold. Ghana became rich and soon after, the Soninke ousted the Maga and built their own nation under Kaya Magan Cisse, who became the Soninke king around 790.

Ghana’s ancient capital, Koumbi Salah, was the city where Africans and Berbers met and traded. Arab traders in the 9th century described Ghana as ‘the land of gold.’ The gold came from Asante and Senegal to the south and west. The trade routes led north and east to Morocco, Libya Aksum and so on to Europe and Asia.

Ghana had reached its peak in the 10th century. This was the country which controlled both the gold and salt trades. Other trading goods included woollen clothes, luxury items, leather goods and slaves. Traders transported goods hundreds of kilometres across the Sahara desert with camel caravans.

Question:
Select the most appropriate ANTONYM of the given word.
Controlled

Option 1: Profuse

Option 2: Promise

Option 3: Practicality

Option 4: Agitated

Question : The length of the shadow of a vertical pole on the ground is 36 m. If the angle of elevation of the sun at that time is $\theta$. Such that $\sec \theta=\frac{13}{12}$, then what is the height (in m) of the pole?

Option 1: 12

Option 2: 15

Option 3: 18

Option 4: 9