NIFT Solved Sample Papers

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1. When the natural numbers 1,2,3…..500, the digit 3 is used n times in this way.The value of n is:

(a)100
(b)200
(c)150
(d)180

Ans: We know on counting that 1 to 100 has the digit 3 20 times.Similarly for 100 to 200 ,it is another 20,adds up to 40.Then from 200 to 300 ,another 20,makes it to 60 now.For 300 to 400,it is 120 making the total to be 180.Another 20 for 400 to 500 makes the sum to be 200. Hence the answer is 200.

2. How many natural numbers up to 990 are divisible by 5 and 9 both but not by 7?

(a)18
(b)20
(c)19
(d)50

Ans: For a number to be divisible by both 9 and 5 means it must be divisible by 45. So the total natural numbers divisible by 45=22 (45,90,135,…..,990). Now since the obtained numbers should not be divisible by 7 so the numbers of the form 45*7l must be subtracted from these 22 numbers Thus the required number is 22-3=19.

3. A boy draws n squares with sides 1,2,3,4,5 inches,the average area covered by these squares:

(a) n(n+1)/2
(b) n(n+1)(n+2)/4
(c) (n+1)/2(2n+1)/3
(d) n

Ans. Average ares is the summation of individual areas divided by 5 i.e the no. of squares so the answer is (n+1)/2(2n+1)/3.

4. If x=6 and y=3 then (x+y)^x/y

(a)34
(b)19
(c)18
(d)81

Ans. (x+y)=(6+3)=9 and x/y=6/3=2 So 9^2 is 81.

5. A camel pursue an elephant and takes 5 leaps for every 7 leaps of elephant but 5 leaps of elephant are equal to 3 leaps of camel.What is the ratio of speed of camel to elephant.??

(a) 1:2
(b) 22:21
(c) 25:21
(d) 25:21

Ans. 5/3:7/5 = 5/3*15:7/5*15 =25:21

6. If 45 students can consume a stock of food in 2 months,find for how many days the same stock of food will last for 27 students.

(a) 100
(b)120
(c) 85
(d) 110

Ans.
student days
45 60
1 60*45
27 (60*45)/27=100

So the ans is 100.

7. If 6 notebooks cost Rs 45,how much would 8 notebooks cost

(a) 40
(b) 24
(c) 60
(d) 100

Ans:
Notebook cost
6 45
1 45*6
8 45*6/8 =60

So the ans is 60.

8. How many 6 digits telephone number can be formed with digits 0,1,2,3,4,5,6,7,8,9 if each number starts with 35 and no digits appears more than once.

(a) 35
(b )45
(c)18
(d) 20

Ans: As the first two digit is already occupied with 35 for next 4 digits we can chose from remaining 8 numbers in 8p4 ways ,so the answer is 35.

9. 3 bells toll at interval 36 sec,40 sec,48 sec respectively.They start ringing together at a particular time.They next toll together at

(a) 24 mins
(b)12 mins


(c) 48 mins
(d) 6 mins.


Ans. H.C.F of given intervals is 12 mins .

10. If a=b^x ,b=c^y and c=a^z ,then xyz is

(a) 1
(b) 2
(c) 0
(d)10

Ans. Applying log to the given equation will give xyz=1

11. Malika travelled 5/16th of her journey by coach, 7/20 by rail, she walked the remaining 10 km,how far did she go altogether.

(a) 8 km
(b)16 km
(c)14 km
(d) 29

Ans: 5/16 of x+ 7/20 of x+10=x
on solving we get x=29 km.

12. If x+y+z=0,then the value of x^2/yz+y^2/zx+z^2/xy is

(a) 0
(b)1
(c) 2
(d) 3

Ans.3

13.The largest sum of money which is contained in both 49.56 and 37.94 an exact number of time is:

(a) 2.56
(b) 3.54
(c) 1.36
(d) 2.00

Ans. H.C.F of given amount is 3.54

14. If a^x=b^y=c^z and b/a=c/b then 2z/(x+y) is equal to

(a) x/2
(b) y/2
(c) z/2
(d) 1

Ans. Applying log we have x/2

15. If 2^(x+3).4^(2x-5)=2^(3x+7) then the value of x

(a) 4
(b) 6
(c) 7
(d) 5

Ans. Applying log on both sides we have (x+3)log2.(2x-5)log4=(3x+7)log2 =7

Directions(Q NO.16-20):In these questions,choose the alternative which the same meaning to the keyword.

16. Abase

(a) Incur

(b)Tax

(c) estimate

(d) humiliate

Ans.(d)

17. Aberration

(a) Deviation
(b) Abhorrence
(c) Dislike
(d) absence

Ans.(b)

18. Balmy

(a) venturesome
(b) dedicated
(c) mild
(d) fanatic

Ans: (c)

19. Buxom

(a) voluminous ‘
(b) indecisive
(c) convincing
(d) plump

Ans. (d)

20. Callow

(a) youthful
(b) holy
(c) mild
(d) colored

Ans.(a)

21. The international awards given by the Academy of Motion Picture Arts and Sciences, California (USA) for excellence in the field of cinema are popularly known as–
(A) IIFA Awards (B) Oscar Awards
(C) BAFTA Awards (D) Grammy Awards
Ans : (B)

22. The largest continent in terms of area is–
(A) Asia (B) Africa
(C) Australia (D) North America
Ans : (A)

23. The space agency NASA belongs to–
(A) Germany (B) USA
(C) Russia (D) France
Ans : (B)

24. The basic function of technology ‘Blue tooth’ is to allow–
(A) landline phone to mobile phone communication
(B) signal transmission on mobile phones only
(C) satellite television communication
(D) wireless communication between equipment
Ans : (D)

25. Which among the following is the source of a non-conventional energy?
(A) Solar Power (B) Coal
(C) Uranium (D) Petroleum
Ans : (A) - See more at: NIFT Fashion Design Entrance Exam Solved Paper 2013

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