'The shopkeeper sells lemons.'

In this sentence, the word 'lemons' is the  .

The figure below is supposed to show three non-overlapping shapes - one oval and two triangles. Which one of the following figures , or S fits the missing portion indicated by '?' and completes the oval and the two triangles?

At how many points will the curves  and  intersect in the real  plane?

'If Anish had scored hundred runs in today's match, he would have been made the captain of his team. He would have then become the youngest captain in his team's history. Unfortunately, he got out without scoring any runs. Hence, there won't be any change in the captaincy for now.'

Based on the paragraph above, which one of the following statements is true?

Which one of the following figures , or S , correctly shows the   clockwise-rotated version of figure (I)?

Match the words in Column I with their synonyms in Column II.

In the given figure,  is the diameter of a circle with center . Two points  and  are chosen on the circle such that  . When  and  are extended, they meet at . The value of  is

Based on the relationship between each polygon and the number inside it, the value of '  ' is

Consider a linear arrangement of seven bulbs, each of which can be in the ON or OFF states. The initial configuration of the bulbs is shown in the figure. In every Step, the states of the bulbs are changed based on the following rules:

• Any OFF bulb with exactly one ON neighbor at the end of the previous Step is turned ON.
• Any ON bulb with both neighbors ON at the end of the previous Step is turned OFF.
• The state of any bulb not meeting the conditions above is left unchanged.

The state of bulbs at the end of Step 1 and Step 2 are also shown in the figure.

The number of bulbs which are ON at the end of Step 8 is

 and  are two positive integers such that . The product of the numbers  and  is