Question 1 |

Which one of the options best describes the transformation of the 2-dimensional
figure P to Q, and then to R, as shown?

Operation 1: A clockwise rotation by 90^{\circ} about an axis perpendicular to the plane
of the figure Operation 2: A reflection along a horizontal line | |

Operation 1: A counter clockwise rotation by 90^{\circ} about an axis perpendicular to
the plane of the figure Operation 2: A reflection along a horizontal line | |

Operation 1: A clockwise rotation by 90^{\circ} about an axis perpendicular to the plane
of the figure Operation 2: A reflection along a vertical line | |

Operation 1: A counter clockwise rotation by 180^{\circ} about an axis perpendicular to
the plane of the figure Operation 2: A reflection along a vertical line |

Question 1 Explanation:

Question 2 |

f(x) and g(y) are functions of x and y, respectively, and
f(x)=g(y) for all real
values of x and y. Which one of the following options is necessarily TRUE for all
x and y?

f(x)=0 \; and \; g(y)=0 | |

f(x)= g(y)= constant | |

f(x)\neq constant \; and \; g(y)\neq constant | |

f(x)+ g(y)=f(x)- g(y) |

Question 2 Explanation:

Question 3 |

Which one of the following sentence sequences creates a coherent narrative?

(i) Once on the terrace, on her way to her small room in the corner, she notices the man right away.

(ii) She begins to pant by the time she has climbed all the stairs.

(iii) Mina has bought vegetables and rice at the market, so her bags are heavy.

(iv) He was leaning against the parapet, watching the traffic below.

(i) Once on the terrace, on her way to her small room in the corner, she notices the man right away.

(ii) She begins to pant by the time she has climbed all the stairs.

(iii) Mina has bought vegetables and rice at the market, so her bags are heavy.

(iv) He was leaning against the parapet, watching the traffic below.

(i), (ii), (iv), (iii) | |

(ii), (iii), (i), (iv) | |

(iv), (ii), (i), (iii) | |

(iii), (ii), (i), (iv) |

Question 3 Explanation:

Question 4 |

Consider two functions of time (t),

f(t)=0.01t^2

g(t)=4t

where

0 \lt t \lt \infty

Now consider the following two statements:

(i) For some t \gt 0, g(t) \gt f(t).

(ii) There exists a T, such that f(t) \gt g(t) for all t \gt T .

Which one of the following options is TRUE?

f(t)=0.01t^2

g(t)=4t

where

0 \lt t \lt \infty

Now consider the following two statements:

(i) For some t \gt 0, g(t) \gt f(t).

(ii) There exists a T, such that f(t) \gt g(t) for all t \gt T .

Which one of the following options is TRUE?

only (i) is correct | |

only (ii) is correct | |

both (i) and (ii) are correct | |

neither (i) nor (ii) is correct |

Question 4 Explanation:

Question 5 |

The country of Zombieland is in distress since more than 75% of its working
population is suffering from serious health issues. Studies conducted by competent
health experts concluded that a complete lack of physical exercise among its
working population was one of the leading causes of their health issues. As one of
the measures to address the problem, the Government of Zombieland has decided
to provide monetary incentives to those who ride bicycles to work.

Based only on the information provided above, which one of the following statements can be logically inferred with certainty?

Based only on the information provided above, which one of the following statements can be logically inferred with certainty?

All the working population of Zombieland will henceforth ride bicycles to work. | |

Riding bicycles will ensure that all of the working population of Zombieland is free
of health issues. | |

The health experts suggested to the Government of Zombieland to declare riding
bicycles as mandatory. | |

The Government of Zombieland believes that riding bicycles is a form of physical
exercise. |

Question 5 Explanation:

There are 5 questions to complete.