Ques 1Aptitude

There was no doubt that their work was thorough. Which of the words below is closest in meaning to the underlined word above?

a. Pretty
b. Complete
c. Sloppy
d. Haphazard

Ques 2Aptitude

A map shows the elevations of Darjeeling, Gangtok, Kalimpong, pelling, and Siliguri. Kalimpong is at a lower elevation than Gangtok. Pelling is at a lower elevation than Gangtok. Pelling is at a higher elevation that siliguri. Darjeeling is at a higher elevation than Gangtok.
Which of the following statements can be inferred from the paragraph above? i. Pelling is at a higher elevation than Kalimpong
ii. Kalimpong is at a lower elevation than Darjeeling
iii. Kalimpong is at a higher elevation than siliguri
iv. Siliguri is at a lower elevation than Gangtok

a. Only ii
b. Only ii and iii
c. Only ii and iv
d. Only iii and iv

Ques 3Aptitude

Four cards lie on a table. Each card has a number printed on one side and a colour on the other. The faces visible on the cards are 2, 3, red, and blue.
Proposition: If a card has an even value on one side, then its opposite face is red.
The cards which MUST be turned over to verify the above proposition are

a. 2, Red
b. 2, 3, red
c. 2, blue
d. 2, red, blue

Ques 4Aptitude

Two dice are thrown simultaneously. The probability that the product of the numbers appearing on the top faces of the dice is a perfect square is

a. 1/9
b. 2/9
c. 1/3
d. 4/9

Ques 5Aptitude

The event would have been successful if you ______ able to come.

a. are
b. had been
c. have been
d. would have been

Ques 6Aptitude

P, Q, R, S, T and U are seated around a circular table. R is seated two places to the right of Q.P is seated three places to the left of R. S is seated opposite U. If P and U now switch seats. Which of the following must necessarily be true?

a. P is immediately to the right of R
b. T is immediately to the left of P
c. T is immediately to the left of P or P is immediately to the right of Q
d. U is immediately to the right of R or P is immediately to the left of T

Ques 7Aptitude

Bhaichung was observing the pattern of people entering and leaving a car service centre. There was a single window where customers were being served. He saw that people inevitably came out of the centre in the order that they went in. However, the time they spent inside seemed to vary a lot: some people came out in a matter of minutes while for others it took much longer. From this, what can one conclude?

a. The centre operates on a first-come-first-served basis but with variable service times, depending on specific customer needs.
b. Customers were served in an arbitrary order since they took varying amounts of time for service completion in the centre.
c. Since some people came out within a few minutes of entering the centre. The system is likely to operate on a last-come-first-served basis.
d. Entering the centre early ensured that one would have shorter service times and most people attempted to do this.

Ques 8Aptitude

Budhan covers a distance of 19 km in 2 hours by cycling one fourth of the time and walking the rest. The next day he cycles (at the same speed as before) for half the time and walks the rest (at the same speed as before) and covers 26 km in 2 hours. The speed in km/h at which Budhan walks is

a. 1
b. 2
c. 4
d. 5

Ques 9Transportation Engineering

The VPI (vertical point of intersection) is 100 m away (when measured along the horizontal) from the VPC (vertical point of curvature). If the vertical curve is parabolic, the length of the curve (in meters and measured along the horizontal) is _______.