Test Q&As : Are you a Brainiac?

In this section, we shall explore several different types of questions from the various areas of entrance exams like the CAT, CET, GMAT, etc, and how to best solve them.

Quant

DIRECTIONS for questions 1: Choose the correct alternative.
1.  A lecturer uses a microphone while teaching. The 4.8 m x 7.2 m classroom has speakers mounted at the four corners. Whenever the lecturer ventures within 3 m distance of the corners, there is a disturbance on the speakers. What is the maximum distance that he can walk in a single direction, parallel to the longer sides of the room, without any disturbance?
1] 6 m                2] 4.2 m                3] 3.6 m                4] 1.2 m
     
AP = AB = 2.4 m. OA = 3 m. So, OP² = (3)² – (2.4)².
So, OP = 1.8 m. So the maximum distance he can walk in the same direction = OQ = 7.2 – 2 (OP) = 3.6 m.
Hence, [3].


2.  Ankit and Arpit started a cycle race from A to reach B. Arpit cycled at th of Ankit’s speed. Ankit broke some rules of the race and as a penalty had to go back to A after covering half the distance and then resumed the race. How long did Arpit take to finish the race if he won by 10 minutes?
1] 20 minutes                2] 25 minutes                3] 45 minutes                4] 80 minutes
Let time taken by Ankit to travel from A to B be ‘t’ minutes. Since, he travelled twice the distance from A to B, he took ‘2t’ minutes. Since Arpit travels at   times Ankit’s speed, he took minutes to travel from A to B.
2t – = 10                 t = 15
= 20 minutes.
Time taken by Arpit to finish the race = 20 minutes.      Hence, [1].

3.   The minimum value that the polynomial p(x) = x2 – 7x + c can take is:
1] always                                          2] , only when c > 0

3] , when c > 13                               4] always
p(x) = x² – 7x + c
p(x)   =      +  
(on completing the square)
=     +  
Now, 0 and attains the minimum value ‘0’ at x =
Minimum value of p(x) is always ,            Hence, [4].

Verbal

DIRECTIONS: The sentences given below, when properly sequenced, form a coherent paragraph. Each sentence is labelled with a letter. Choose the most logical order of the sentences, from among the given choices, to construct a coherent paragraph.

1. Chronic worriers operate under the misperception that their over-thinking and attempts at controlling every situation allow them to problem-solve and plan for the future.
   
   
2. Psychologists believe that worry, defined as a person’s negative thoughts about a future event, evolved as a constructive problem-solving behaviour.
   
   
3. The hyper-vigilance that is the result can lead to cardiovascular problems, ultimately rendering the body unable to cope properly with stress.
   
   
4. Instead their thought pattern hinders cognitive processing and also causes overstimulation of emotion- and fearprocessing areas in the brain.
   
   
5. But excessive fretting does more harm than good.
   
   1] ADBEC
   2] AEDBC
   3] BEADC
   4] BAEDC

Explanation
The paragraph is about the fallout of chronic worrying. B starts the paragraph since it defines worry and its use. Since it introduces the idea about how excessive worrying is not good, E has to immediately follow B. A elaborates on what chronic worriers do; D extends the argument and C outlines the health problems it can cause. Thus, BEADC is the correct sequence.
Hence, [3].