# MasterChef Task – Make three pancakes in the least amount of time possible.

Conditions: One side of a pancake takes exactly three minutes to cook on a pan. You need to cook both sides. This means that a pancake takes exactly six minutes to cook.

Anything else: Yes. You’ve got two pans and two gas burners. Use them as you please.

Have I got gas? Of course. Assume what you’ve got to assume.

Get started!

# Numbers

Which of the following statements are always correct :-

I. If p and p² + 8 are prime numbers, then p³ + 8p + 2 is also prime.
II. a4 + 4 is prime for some a > 1.

a) Only I
b) Only II
c) Both
d) None

# Players 6 men, R, S, T, U, V and W sat around a circular table playing cards. It was noticed that no two men , the initial letters of whose names are adjacent in English alphabet, sat next to each other .U was opposite to R. V was not to immediate right of R.

1. Who sat to the immediate left of R ?
a. U
b. T
c. V
d. W

# Geometry

The sum of the lengths of the twelve edges of a rectangular box is 140 , and the distance from one corner of the box to the farthest corner is 21. Find the total surface area of the box is

A. 776
B. 784
C.798
D. 800
E. 812

# 7 Boxes There are 7 boxes named A, B,C, D, E, F and G. each of different sizes. A smaller box can fit inside a larger box- The following information is known:

1. Box A fits inside both boxes B and D.

2.Box G fits inside both boxes A and F.

3.Box C fits inside both boxes B and F.

# Probability

Jasmine  flipped a fair coin five times. In the fi rst three flips, the coin came up heads exactly twice. In the last three flips, the coin also came up heads exactly twice. What is the probability that the third flip was heads? In a group of friends, every friend sends a gift to every other friend on Diwali. After the last Diwali, some more friends get included in the group and the number of gifts increases by 46 this Diwali.

Out of the following , what can be the number of friends in the group this year ?

A. 11
B. 12
C. 13
D. 23

# Algebra

How many real numbers x are solutions to the following equation ?
|x − 1| = |x − 2| + |x − 3|