An ant starts at the origin and moves along the y-axis and covers a distance l. This is its first stage in its journey. Every subsequent stage requires the ant to turn right and move a distance which is half of its previous stage. What would be its coordinates at the end of its 5th stage?

• $\left(\frac{3\mathrm{l}}{8}, \frac{13\mathrm{l}}{16}\right)$

• $\left(\frac{13\mathrm{l}}{168}, \frac{3\mathrm{l}}{8}\right)$

• $\left(\frac{13\mathrm{l}}{8}, \frac{3\mathrm{l}}{16}\right)$

• $\left(\frac{3\mathrm{l}}{16}, \frac{13\mathrm{l}}{8}\right)$

In a group of siblings, there are seven sisters, and each sister has one brother. How many siblings are there in total?

• 15

• 14

• 8

• 7

What is the average value of y for the range of x shown in the following plot?

• 0

• 1

• 1.5

• 2

A bread contains 40% (by volume) edible matter and the remaining space is filled with air. If the density of edible matter is 2 g/cc, what will be the bulk density of the bread (in g/cc)?

• 0.4

• 0.8

• 1.2

• 1.6

A board has 8 rows and 8 columns. A move is defined as two steps along a column followed by one step along a row or vice-versa. What is the minimum number of moves needed to go from one corner to the diagonally opposite corner?

• 5

• 6

• 7

• 9

A job interview is taking place with 21 male and 17 female candidates. Candidates are called randomly. What is the minimum number of candidates to be called to ensure that at least two males or two females have been interviewed?

• 17

• 2

• 3

• 21

7.

The graph shows the cumulative frequency % of research scholars and the number of papers published by them. Which of the following statements is true?

• The majority of the scholars published more than 4 papers.

• 60% of the scholars published at least 2 papers.

• 80% of the scholars published at least 6 papers.

• 30% of scholars have not published any paper.

A tells only lies on Monday, Tuesday, and Wednesday and speaks only the truth for the rest of the week. B tells only lies on Thursday, Friday and Saturday and speaks only the truth for the rest of the week. If today both of them state that they have lied yesterday, what day is it today?

• Monday

• Thursday

• Sunday

• Tuesday

A fair die was thrown three times and the outcome was repeatedly six. If the die is thrown again what is the probability of getting six?

• 1/6

• 1/216

• 1/1296

• 1

Which is the odd one out based on a divisibility test?

154, 286, 363, 474, 572, 682

• 474

• 572

• 682

• 154