National Champion Test General Aptitude for ESE & GATE EC Exams

Question 1

After the discussion, Tom said to me, 'Please revert!’ He expects me to _________.

Question 2

A regular die has six sides with numbers 1 to 6 marked on its sides. If a very large number of throws show the following frequencies of occurrence: 1

0.167; 2

0.167; 3

0.152; 4

0.166; 5

0.168; 6

0.180. We call this die

Question 3

Choose the most appropriate pair of words from the options given below to complete the following sentence. She could not _____ the thought of _________ the election to her bitter rival.

Question 4

In the sentence given below, some part of the sentence needs an improvement. Identify the option which makes a meaningful and grammatically correct sentence:
A taller cadet rushed forward than any of his comrades.

Question 5

A firm producing air purifiers sold 200 units in 2012. The following pie chart presents the share of raw material, labour, energy, plant & machinery, and transportation costs in the total manufacturing cost of the firm in 2012. The expenditure on labour in 2012 is Rs. 4,50,000. In 2013, the raw material expenses increased by 30% and all other expenses increased by 20%. What is the percentage increase in total cost for the company in 2013?

Question 6

A batch of one hundred bulbs is inspected by testing four randomly chosen bulbs. The batch is rejected if even one of the bulbs is defective. A batch typically has five defective bulbs. The probability that the current batch is accepted is _________

Question 7

Operators □ , ◊ and → are defined by:

Find the value (66 □ 6) → (66◊6).

Question 8

In a parking lot, 30 cars, 30 vans and 40 LCV_S are parked. What is the probability that a car leaves after a van or LCV have left?

Question 9

Rajat’s house is facing east. One fine morning, after coming out of his house, he walks a distance of 1 km and then takes a left turn but keeps walking. He takes a left turn after having walked twice the distance in the previous step. He keeps doing this i.e. taking left turn and walking twice the distance of the previous step just before he is due to take a left turn a 6th time. Where is he with respect to the starting point?

Question 10

Two trains T1 and T2 are running at speed of 60 km per hour and 45 km per hour respectively. T1 leaves from station ‘A’ for station ‘B’ and train T2 leaves from ‘B’ for ‘A’ at the same time. It is given that distance between A and B is 1260 km. They cross each other at station ‘C’ between ‘A’ and ‘B’. Both trains start their return journey immediately after reaching their respective destinations.
After how much time (in hours) of T2 reaching ‘A’, will they cross each other again?

Question 11

A sentence is split into 3 parts in the 3 options given below. If any part of the sentence has an error – grammatical or otherwise, mark that option as your answer. In case there is no error, mark option ‘d’.

Question 12

A tiger is 50 leaps of its own behind a deer. The tiger takes 5 leaps per minute to the deer’s 4. If the tiger and the deer cover 8 meters and 5 meters per leap respectively. What distance in metres will be tiger have to run before it catches the deer?