nec.thegateacademy.com National Engineering Challenge Sample Question Paper 2017 : The Gate Academy

Name of the Institute : The Gate Academy
Name of the Examination : NEC – National Engineering Challenge 2017
Subject : General Aptitude
Document Type : Sample Question Paper
Year : 2017

Website : http://nec.thegateacademy.com/

NEC Sample Question Paper :

General Aptitude :
1. Which is the smallest of the following numbers?
(A) v7
(B) 1/v7
(C) v7/7
(D) 1/7

2. Anuj walks 10 km southwards. Then he turns left and walks 5 km. He then turns North and walks 7 km. And thereafter turns right and walks 3 km. Finally he turns left and walks 9 km. How far is he from the starting position?
(A) 17
(B) 19
(C) 21
(D) 10

3. It is known that two roots of nonlinear equation are 1 and 3. The third root will be
(A) j
(B) – j
(C) 2
(D) 4

4. A statement below is followed by four arguments. You have to classify them into strong and weak arguments. Strong arguments must be both important and directly related to the question. Weak arguments may not be directly related or may be related to trivial aspects of the question and may be of minor importance.
Should there be compulsory military training for each college student in India?
I. Yes. This is the only way to build a strong and powerful nation.
II. No. Compulsion always leads to repulsion.
III. Yes. This is the only way to impart discipline to the young generation.
IV. No. This goes against the basic democratic right of an individual to choose his/her own programs.
(A) Only I and III are strong
(B) Only II and IV are strong
(C) Only I and IV are strong
(D) Only I, III and IV are strong

5. If p is a prime number, then the L.C.M. of p and (p + 1) is
(A) p2
(B) (p + 1) 2
(C) p(p+1)
(D) 2

6. Find the missing term represented by (?) in the following series: 24, 60, 120, 180, 180, ?
(A) 360
(B) 90
(C) 160
(D) 240

7. The product of two consecutive positive multiples of 5 is 750. Find the ratio of the larger multiple to the smaller.
(A) 5 : 6
(B) 3 : 4
(C) 6 : 5
(D) Indeterminate

8. The given sentence has four underlined words or phrases marked (A), (B), (C) and (D). Choose the one word or phrase which is incorrect and must be changed to make the sentence correct and mark the answer accordingly.
(A) His father
(B) has a
(C) great amount
(D) of money.

9. Arrange the sentences to form a meaningful paragraph.
P. Indeed, the mutations that the family has undergone in this century have been more challenging than at any time of its evolution.
Q. Thus, we have nuclear families, single parent families, surrogate families and global families to name just a few.
R. How these changes have reduced our world view is an interesting field of study in themselves.
S. What we often forget is that the family as it exists today has expanded its orthodox definition to include several variations.
T. Each of these has brought it’s own attitudes and priorities.
(A) PQRTS
(B) QRPTS
(C) PRSQT
(D) TSPQR

10. Choose the correct alternative.
In a family of six members, L, M, N, O, P and Q each one plays one game out of the six games Chess, Carom, Table Tennis, Badminton, Bridge and Cricket.
(i) Two are married couples.
(ii) M, who plays carom, is daughter-in-law of P.
(iii) L is the father of O, the Table-tennis player, and O is father of N, who plays Cricket.
(iv) Q is brother of N.
(v) Chess is not played by a female member.
(vi) P’s husband plays Badminton.
Who among them plays Bridge?
(A) L
(B) P
(C) Q
(D) Data Inadequate

11. Arrange the sentences to form a meaningful paragraph.
P. Indeed, the mutations that the family has undergone in this century have been more challenging than at any time of its evolution.
Q. Thus, we have nuclear families, single parent families, surrogate families and global families to name just a few.
R. How these changes have reduced our world view is an interesting field of study in themselves.
S. What we often forget is that the family as it exists today has expanded its orthodox definition to include several variations.
T. Each of these has brought it’s own attitudes and priorities.
(A) PQRTS
(B) QRPTS
(C) PRSQT
(D) TSPQR

12. My year of birth is 1982. What would the year have been instead of 1982 if base 12 were used (for counting) instead of decimal system?
(A) 1182
(B) 1022
(C) 2082
(D) 1192

13. Matrix M has x rows and x + 5 columns. Matrix N has y rows and 11 – y columns. If both MN and NM exist. The value of y is:
(A) 8
(B) 4
(C) 3
(D) 6

14. Choose the correct alternative that will continue the given series:
7, 17.5, 61.25, …….
(A) 264.65
(B) 275.625
(C) 374.65
(D) 375.625

15. Choose the option that best completes the sentence:
He …… in wearing the old fashioned coat in spite of his wife’s disapproval.
(A) insists
(B) resists
(C) desists
(D) persists

16. The equation x[(3/4)(log2 x)2 + log2 x – (5/4)] = 2 has:
(A) Atleast one real solution
(B) Exactly 3 real solutions
(C) Exactly one irrational solution
(D) All of the above

17. In 12 hours, how many times are the minute and the hour hands together?
(A) 22
(B) 24
(C) 12
(D) 11

18. Refer to the data below and answer the question that follow :
A Mutual Fund Company’s office has 3 windows – W1, W2 and W3 for handling various transactions.
(i) W1 is open between 10 a.m. and 2 p.m. on Monday, Wednesday and Thursday and between 2.30 p.m. and 4.30 p.m. on Tuesday, Friday and Saturday.
(ii) W2 is open between 9 a.m. and 12 noon on Tuesday, Thursday and Friday and between 1pm and 3 p.m. on Monday, Wednesday and Saturday.
(iii) W3 is open between 8am and 11 a.m. on Monday, Tuesday and Thursday and 12 noon and 2pm on Wednesday, Friday and Saturday.
On which day before noon, are all the three windows simultaneously open for some time?
(A) Thursday
(B) Wednesday
(C) Saturday
(D) Monda

19. Find the arithmetic mean of second and third term of a geometric progression of real numbers such that the sum of its first four terms is equal to 30 and the sum of the squares of the first four terms is equal to 340.
(A) 5
(B) 6
(C) 8
(D) 10

20. Given a 2 x 2 real matrix M with Eigenvalues i and -i. Then M cannot be
(A) Orthogonal
(B) Skew-Symmetric
(C) Symmetric
(D) Invertible