ntse-2014 (stage-i) - fiitjee

FIITJEE 1

NTSE-2014 (Stage-I) SOLUTIONS

MAT

Time allowed : 45 Min. Maximum Marks : 50

Direction (Q. 1 to 4) : In each of the questions 1 to 4 some of the letters are missing in the given series with one term missing shown by question mark (?). This term is one of the alternatives among the four groups of letters given under it. Find the right alternative.

1. BEG, DGI, FIK, HKM, (?) (1) JMO (2) KMO (3) JML (4) JNP Ans. (1) Sol.

2. KEM, IDL, GCK, (?), CAI (1) ECJ (2) EBK (3) FBJ (4) EBJ. Ans. (4) Sol.

3. ca (?) cab (?) ab (?) (?) bc (?) (1) bccaa (2) accab (3) bacaa (4) abaca. Ans. (1) Sol. c a b c a b c a b c a b c a 4. JCME, LDOG, NEQT, (?) (1) PFSJ (2) PESI (3) PESK (4) PFSK. Ans. (No option is correct) Sol.

Correct answer is PFSK.

Direction (Q. 5 to 8): In each of the questions 5 to 8 some of the numbers are missing in the given series with one term missing shown by question mark (?). This term is one of the alternatives among the four numbers given under it. Find the right alternative.

5. 5, 10, 17, 26, 37, 50, (?). (1) 70 (2) 66 (3) 65 (4) 64. Ans. (3) Sol.

6. 6, 25, 62, 123, (?), 341

FIITJEE 2

(1) 216 (2) 214 (3) 215 (4) 217 Ans. (2) Sol. 6, 25, 62, 123, 214, 341 23–2, 33 – 2, 43 – 2, 53 – 2, 63 – 2 7. 5, 3, 10, 8, 17, 15, (?), 24 (1) 26 (2) 27 (3) 29 (4) 36. Ans. (1) Sol.

8. 2, 6, 12, 20, 30, (?) (1) 40 (2) 42 (3) 44 (4) 46. Ans. (2)

Sol.

Direction (Q. 9 to 11) : In each of the questions below are given two statements and two conclusions

numbered I and II. You have to take the given two statements to be true even if they seem to be at variance from commonly known facts. Read the conclusions and then decide which of the given conclusions known facts. Read the conclusions and then decide which of the given conclusions logically follows from the two given statements.

9. Statements (i) : Some books are pencils. (ii) : Some pencils are pens. Conclusions (i) : All books are pens. (ii) : Some pens are books. (1) Only conclusion I is true (2) Only conclusion II is true (3) Conclusions I and II both are true (4) Neither conclusion I nor conclusion II are true. Ans. (4)

Sol.

So, (4) follows. 10. Statements (i) : Some men are educated. (ii) : Educated persons prefer small families. Conclusions (i) : All small families are educated. (ii) : Some men prefer small families. (1) Only conclusion I is true (2) Only conclusion II is true (3) Conclusions I and II both are true (4) Neither conclusion I nor conclusion II are true. Ans. (2) Sol.

FIITJEE 3

11. Statements (i) : Some hens are cows. (ii) : All cows are horses. Conclusions (i) : Some horses are hens. (ii) : Some hens are horses. (1) Only conclusion I is true (2) Only conclusion II is true (3) Conclusions I and II both are true (4) Neither conclusion I nor conclusion II are true. Ans. (3) Sol.

Direction (Q. 12 to 13) : are based on the following diagram. In this diagram there are three sets U, A and

B, which represent the married persons, educated people and teachers respectively live in a colony. The total population of the colony is 300.

12. Number of unmarried persons in the colony is (1) 40 (2) 112 (3) 124 (4) 125. Ans. (1) Sol. (1) is correct

13. Number of educated people who in not teacher is (1) 120 (2) 122 (3) 124 (4) 125. Ans. No option is correct Correct answer is 112 (136 – 24). 14. Which of the following Venn diagrams correctly represents cows. horses and animals?

(1)

(2)

(3)

(4)

Ans. (1) Sol. Cows and horses both are animals.

FIITJEE 4

15. Which of the following Venn diagrams correctly represents rectangle, quadrilateral and polygon?

(1)

(2)

(3)

(4)

Ans. No option is correct. Correct venn diagrams is

Direction (Q. 16 to 19) : three alternatives are alike in certain way but the rest one is different. Find out

the odd one and write correct answer. 16. (1) AEIF (2) CGKH (3) EILJ (4) GKOL Ans. (3) Sol. E I L J

17. (1) XCJP (2) YEKQ (3) ZGLT (4) AHMV. Ans. (4) Sol.

18. (1) 150 (2) 165 (3) 200 (4) 250. Ans. (2) Sol. 165 is not divisible by 10 and rest all are divisible by 10. 19. (1) Coal (2) Graphite (3) Diamond (4) Gold. Ans. (4) Sol. Gold is an element while others are allotropes. Direction (Q. 20 to 21) : Numbers from 1 to 6 are placed on different faces of the dice.

20.

The number on opposite of the face having the number 3 will be

(1) 5 (2) 4 (3) 2 (4) 1. Ans. (3) Sol. 3 5, 6, 1, 4 (Adjacent) So, 3 2 (opposite) Hence (3) is answer

FIITJEE 5

21.

The number on opposite side of the face having the number 3 will be

(1) 1 (2) 2 (3) 4 (4) 5 Ans. (3) Sol. Taking clockwise in II and IV dice with 5:

So, 3 4 (opposite) Direction (Q.22 to 23) : Give answer on the basis of given figure that the different faces are folded in the

form of cube. 22.

The number on opposite side of the face having the number 4 will be

(1) 1 (2) 2 (3) 3 (4) 4. Ans. (2)

Sol. 2 43 5 Opposite pair1 6

23.

The word on opposite of the face having the word F will be (1) B (2) C (3) D (4) E. Ans. (4)

Sol. D BC A Opposite pairF E

FIITJEE 6

Direction (Q. 24 to 27) : Word in capital letters in Column I are written in English small letters according to a code language in Column II. Decode the language and find out the correct alternative for the given in each question.

Column I Column II ONE cdy TWO sgd THREE` lsgyy FOUR dztg FIVE zmfy SIX rmh 24. NET (1) dys (2) cys (3) tcs (4) csd. Ans. (2) Sol.

NET cys 25. FOX (1) ydh (2) dhs (3) zdh (4) zgl. Ans. (3) Sol. FOX zdh 26. HER (1) lgc (2) lyg (3) lgs (4) glc. Ans. (2) Sol. HER lyg 27. SHE (1) rly (2) rcy (3) rsy (4) yet. Ans. (1) Sol. SHE rly Directions (Q. 28 to 30) : In each of the following questions a statement is given followed by two

conclusions I and II. 28. Statements : Adversity makes a man wise. Conclusions (i) : The poor are wise. (ii) : Man learns from bitter experience. (1) Only conclusion I is true (2) Only conclusion II is true (3) Conclusions I and II both are true (4) Neither conclusion I nor conclusion II are true. Ans. (2) Sol. Only conclusion II is true 29. Statements (i) : Fortune favours the brave.. Conclusions (i) : Risk is necessary for success. (ii) : Cowards die many times before their death. (1) Only conclusion I is true (2) Only conclusion II is true (3) Conclusions I and II both are true (4) Neither conclusion I nor conclusion II are true. Ans. (4) Sol. Neither conclusion I nor conclusion II are true. 30. Statements (i) : Morning walks are good for health. Conclusions (i) : All healthy people go for morning walks. (ii) : Evening walks are harmful. (1) Only conclusion I is true (2) Only conclusion II is true (3) Conclusions I and II both are true (4) Neither conclusion I nor conclusion II are true. Ans. (4) Sol. Neither conclusion I nor conclusion II are true.

FIITJEE 7

31. Ramesh is father of Mohan and Shyam is son of Mohan. What is the relation between Ramesh and Shyam? (A) Son (B) Brother (C) Grandfather (4) Father. Ans. (3) Sol.

32. B is father of C but C is not son of B. What is the relation of C with B ?: (1) Sister (2) Brother (3) Daughter (4) Nephew Ans. (3) Sol.

33. If 23 * 52 = 48, then 43 * 35 = ? (1) 78 (2) 98 (3) 96 (4) 69 Ans. (3) Sol. 23 × 52 = 48 or 23 + 25 = 48 43 × 35 = 43 + 53 = 96 34. If the following numbers are written in ascending order, the sum of the digits of middle number will be : 810, 912, 910, 809, 781, 673, 573 (1) 9 (2) 12 (3) 17 (4) 13 Ans. (3) Sol. 809 = 8 + 0 + 9 = 17 35. How many 3s are there in the following figure series which are just preceded by 6 but not immediately

followed by 7 ? 3 2 3 7 4 3 5 6 3 7 4 6 3 8 9 6 3 5 1 8 3 7 2 4 2 8 6 3 9 5 (1) 1 (2) 2 (3) 3 (4) 4 Ans. (3) Sol.

36. Which name will come at 3rd place in a telephone directory from the following given names ? (1) AMIT (2) AMINA (3) ALOK (4) ABHIMAN Ans. (2) Sol. AMINA 37. If 1st October is Sunday, then 1st November will be : (1) Monday (2) Tuesday (3) Wednesday (4) Thursday Ans. (3) Sol. 1st Oct 1st Nov. = 3 Odd days So, Sun + 3 = Wednesday 38. Which two months in a year have the same calendar ? (1) June, October (2) April, November (3) April, July (4) October, December Ans. (3) Sol. April

22 3April May June 7 Odd days

So, (3) is answer. 39. If the first day of a leap year is Monday, then what day will be on the last day of that year ? (1) Wednesday (2) Tuesday (3) Thursday (4) Sunday Ans. (2) Sol. Last day is 1 day ahead of 1st day in a Leap year. So, Tuesday (2) is answer.

FIITJEE 8

40. If 14th September, 2013 is Saturday, then what day will be 22nd December, 2014 ? (1) Sunday (2) Monday (3) Tuesday (4) Wednesday Ans. (2) Sol. 14 Sep., 2013 Saturday 14 Sep., 2014 Sunday

31 30 2216

Sept. Oct. Nov. Dec.

2 + 3 + 2 + 1 = 8 Odd days So, Sunday + 8 days = Monday Direction (Q. 41 to 45) : there are four figures given. One of these does not correlate with the rest of the

figures. Find out that figure.

41.

Ans. (2) Sol. By observation

42.


43.


44.


45.


FIITJEE 9

Direction (Q. 46 to 50) : there two sets of figures. One set contains problem-figures while the other has answer-figures. There is a sequence according to which the problem-figures are arranged. You have to select one figure from the set of answer-figure which can be placed in sequence after the set of problem-figures. Find out the correct figure.

46.


47.


48.


49.


50.


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ntse-2014 (stage-i) - fiitjee

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