5. FTRE-2013-14-Class 5 Stu-OBJ-IQ,S&M-MERGE-Set A.pdf

FIITJEE

Talent Reward Exam

 for student pr esently in

 A

Class 5 Time: 3 Hours

Maximum Marks: 194

CODE 5A

Instructions: Caution: Question Paper CODE as given above MUST be correctly marked in the answer OMR sheet before attempting the paper. Wrong CODE CODE or no CODE will give wrong results.

1.

You are advised to devote 1 Hour on Sectio Sectio n-I and 2 Hours on Secti Secti on-II and Section-III.

2.

This Question paper consists of of 3 sections. All All questions questions will be multi ple choice single correct out of four choices with marking scheme in table below: Secti Secti on

Question no.

SECTION – I (IQ)

SECTION – II (MATHEMATICS) SECTION – III (SCIENCE & MATHEMATICS)

Marking Scheme for each each question corr ect answer

wrong answer

Q. 1 to 12

+2

0

Q. 13 to 16

+3

–1

Q. 17 to 20

+6

0

Q. 21 to 23

+6

–1

Q. 24 to 26

+8

–2

Q. 27 to 30

+8

–3

Part –A

Physics

Q. 31 to 36

+3

–1

Part –B

Chemistry

Q. 37 to 42

+3

–1

Part –C

Mathematics Mathematic s

Q. 43 to 50

+3

–1

3.

 Answers  Answers have to be marked on the OMR sheet. sheet.

4.

The Question Questi on Paper contains blank spaces for your rough work. No additional sheets sheets will be provided for rough work.

5.

Blank papers, clip boards, log tables, slide rule, calculator, calculat or, cellular phones, pagers and electronic electroni c devices, in any form, are not allowed.

6.

Before attempting paper writ e your  Name, Registration number and Test Centre  Centre  in the space provided at the bottom of this sheet.

Note: Check all the sheets of this question paper. Please ensure the same SET is marked on header of all the sheets insi de as indicated above ‘Maximum Marks’ of t his p age. age. In case SET SET marked is not the same on all pages, immediately inform the invi gilator and CHAN CHANGE GE the Question Question s paper.

Registration Number 

:

Name of the Candidate

: _____________________________________________________________

Test Centre

: _____________________________________________________________

FIITJEE Ltd. ICES House, 29-A, Kalu Sarai, Sarvapriya Vihar, New Delhi -1100 16, Ph : 26569493, 26515949 Fax : 26513942 

FTRE-2013-IQ+M+S&M-V-(Set- A)-2

Time: 1 Hour IQ Section –I

FIITJEE L t d . , F II T J E E H ou s e, 2 9 -A , K a l u S a r a i , S a r v a p r i y a V i h a r , N ew D el h i -1 1 0 0 1 6 , Ph 4 6 1 0 6 0 0 0 , F a x 2 6 5 1 3 9 4 2   w e b s i t e : w w w . f i i t j e e. c o m

FTRE-2013-IQ+M+S&M-V-(Set- A)-3

S  e  c  t i o  n -  I  c  1.

2.

3.

IQ

Find the matching pair. 5 is to 125 as 6 is to ____? (A) 36 (C) 216

(B) 72 (D) 144

Find the matching pair. 8 is to 64 as 9 is to ____? (A) 27 (C) 45

(B) 36 (D) 81

Find the matching pair.  ABC is to ZYX as JKL is to ____? (A) QPO (C) PON

(B) PQR (D) ONM

4.

Find the next number in the series given below. 3, 7, 15, 27, 43, ? (A) 59 (B) 60 (C) 70 (D) 63

5.

If all the letters of the English alphabet are written in reverse order, then which letter will be 6  to th the left of 5  letter from the right? (A) J (B) K (C) L (D) M

6.

Which number will replace the question mark in the following? (A) 25 (B) 10 (C) 15 (D) 20

th

?

2

3

16

4 9

5 4

Space for Rough Work

FIITJEE L t d . , F II T J E E H ou s e, 2 9 -A , K a l u S a r a i , S a r v a p r i y a V i h a r , N ew D el h i -1 1 0 0 1 6 , Ph 4 6 1 0 6 0 0 0 , F a x 2 6 5 1 3 9 4 2   w e b s i t e : w w w . f i i t j e e. c o m

FTRE-2013-IQ+M+S&M-V-(Set- A)-4

Directions (Q. 7 to 9): If ‘+’ is ‘×’, ‘–‘ is ‘+’, ‘×’ is ‘ ’ and ‘’ is ‘–‘, then answer the following questions based on the information.

7.

8.

9.

21  8 + 2 – 12 × 3 = ? (A) 14 (C) 13.5

(B) 9 (D) 11

15 × 5  3 + 1 – 1 = ? (A) –1 (C) 3

(B) –2 (D) 1

6 – 9 + 8 × 3  20 = ? (A) –2 (C) 10

(B) 6 (D) 12

10.

If RAM is coded as SBN in a certain language, then how will LAMP be coded in that language? (A) MBLQ (B) MBNQ (C) KBNQ (D) MBNO

11.

Find the figure which is different from the others.

12.

Find the figure which is odd one out.

Directions (Q. 13 to 16): There are five friends, Chhota Bheem, Kalia, Dholu, Chutki and Bholu. Kalia and Chutki like football, but t he others like tennis. Only Bholu, Kalia and Chhota Bheem l ike going abroad for their holidays. All but Chutki and Dholu have piano lessons.

13.

Who likes football and also likes going abroad for their holidays? (A) Dholu (B) Chhota Bheem (C) Kalia (D) Bholu

14.

Who likes football but does not have piano lessons? (A) Chutki (B) Bholu (C) Dholu (D) Chhota Bheem

15.

Who likes tennis but does not have piano lessons? (A) Bholu (B) Chhota Bheem (C) Chutki (D) Dholu

16.

How many children, who like tennis, also have piano lessons? (A) 4 (B) 2 (C) 1 (D) 3 Space for Rough Work

FIITJEE L t d . , F II T J E E H ou s e, 2 9 -A , K a l u S a r a i , S a r v a p r i y a V i h a r , N ew D el h i -1 1 0 0 1 6 , Ph 4 6 1 0 6 0 0 0 , F a x 2 6 5 1 3 9 4 2   w e b s i t e : w w w . f i i t j e e. c o m

FTRE-2013-IQ+M+S&M-V-(Set- A)-5

Directi on s (Q. 17 to 20): P, Q, R, S, T, U, V and W are sitting round the circle and facing the centre. (i) P is second to the right T who is the neighbour of R and V. (ii) S is not the neighbour of P. (iii) V is the neighbour of U. (iv) Q is not between S and W. W is not between U and S.

17.

18.

19.

20.

What is the position of S? (A) Between U and V (C) To the immediate right of W

(B) Second to the right of P (D) Data inadequate

Which of the following are not neighbours? (A) R and V (C) R and P

(B) U and V (D) Q and W

Which of the following is correct? (A) P is to the immediate right of Q (C) Q is to the immediate left of W

(B) R is between U and V (D) U is between W and S

Find who is sitting opposite to P? (A) S (C) V

(B) U (D) W Space for Rough Work

FIITJEE L t d . , F II T J E E H ou s e, 2 9 -A , K a l u S a r a i , S a r v a p r i y a V i h a r , N ew D el h i -1 1 0 0 1 6 , Ph 4 6 1 0 6 0 0 0 , F a x 2 6 5 1 3 9 4 2   w e b s i t e : w w w . f i i t j e e. c o m

FTRE-2013-IQ+M+S&M-V-(Set- A)-6

Time: 2 Hours Section –II & Section –III

FIITJEE L t d . , F II T J E E H ou s e, 2 9 -A , K a l u S a r a i , S a r v a p r i y a V i h a r , N ew D el h i -1 1 0 0 1 6 , Ph 4 6 1 0 6 0 0 0 , F a x 2 6 5 1 3 9 4 2   w e b s i t e : w w w . f i i t j e e. c o m

FTRE-2013-IQ+M+S&M-V-(Set- A)-7

S  e  c  t i o  n -  I I  c 

Mathematics Comprehension – 1 (Question No. 21-23)

 A fruit seller buys 100 apples at the rate of Rs. 10 for 5 apples and sold them at the rate of Rs. 20 for 5 apples. 21.

22.

23.

The cost price of each apple is (A) Rs. 1 (C) Rs. 3

(B) Rs. 2 (D) Rs. 4

The selling price of each apple is (A) Rs. 4 (C) Rs. 6

(B) Rs. 5 (D) Rs. 7

His total profit or loss on selling all the apples is (A) Loss Rs. 200 (B) Profit Rs. 200 (C) Profit Rs. 300 (D) Loss Rs. 300

Comprehension – 2 (Question No. 24-26)  A p ro bl em o f Di st ribut io n. Once there lived an old father. He lived with his three sons. He was quite rich and had 33 kg gold. After his death, the sons read what he had written in his will. 1 (i) My eldest son will get  of my gold. 2 1 (ii) My second son will get  of remaining gold. 3 1 (iii) My third son will get  of remaining gold. 6

24.

How much gold will the second son get? 3 (A) 5 kg   6 (C) 5 kg

5 (B) 5 kg 6 5 (D) 4 kg 6

Space for Rough Work

FIITJEE L t d . , F II T J E E H ou s e, 2 9 -A , K a l u S a r a i , S a r v a p r i y a V i h a r , N ew D el h i -1 1 0 0 1 6 , Ph 4 6 1 0 6 0 0 0 , F a x 2 6 5 1 3 9 4 2   w e b s i t e : w w w . f i i t j e e. c o m

FTRE-2013-IQ+M+S&M-V-(Set- A)-8

25.

26.

How much gold will the youngest son get? 15 (A) 2 kg   18 15 (C) 3 kg   18

15 (B) 1 kg 18 16 (D) 2 kg 18

How much gold will be left after distribution? 1 (A) 9 kg   6 1 (C) 9 kg   3

1 (B) 8 kg 6 1 (D) 7 kg 6

Comprehension – 3 (Question No. 27-30)  ABCD is a rectangle of length 10 cm and breadth 6 cm from which a square DEFG of side 2 cm and a rectangle BHIJ of length 3 cm and breadth 2 cm are removed. D

G

C 2 cm

E 2 cm

F I

6 cm

2 cm

(Diagram is not to scale)

J

3 cm  A

H

B

10 cm

27.

The perimeter of the rectangle ABCD is (A) 24 cm (C) 26 cm

(B) 30 cm (D) 32 cm

28.

The area of the remaining portion after the removal of the square DEFG and rectangle BHIJ, is 2 2 (A) 60 cm (B) 50 cm 2 2 (C) 40 cm (D) 30 cm

29.

The difference between the perimeter of rectangle ABCD and that of new figure obtained after the removal of square DEFG and rectangle BHIJ, is (A) 10 cm (B) 5 cm (C) 4 cm (D) 0 cm

30.

If the cost of fencing wire is Rs. 50 per metre. The cost of fencing the remaining portion after the removal of square DEFG and the rectangle BHIJ, is (A) Rs. 1.60 (B) Rs. 160 (C) Rs. 16 (D) Rs. 1600 Space for Rough Work

FIITJEE L t d . , F II T J E E H ou s e, 2 9 -A , K a l u S a r a i , S a r v a p r i y a V i h a r , N ew D el h i -1 1 0 0 1 6 , Ph 4 6 1 0 6 0 0 0 , F a x 2 6 5 1 3 9 4 2   w e b s i t e : w w w . f i i t j e e. c o m

FTRE-2013-IQ+M+S&M-V-(Set- A)-9

S  e  c  t i o  n -  I I I  c 

Science & Mathematic s Physics (Part – A)

31.

Which of the following objects, one can see across? (A) Wooden sheet (B) Plane mirror (C) Glass sheet (D) Both (B) and (C)

32.

Lunar eclipse occurs when (A) Earth comes between moon and sun (B) Sun comes between earth and moon (C) Moon comes between sun and earth (D) none of these

33.

Which of the following natural phenomena occurs due to movement of charge? (A) Lightning (B) Earthquake (C) Storm (D) Cyclone

34.

Which of the following is not a form of energy? (A) Heat (C) Force

(B) Light (D) Sound

35.

Which of the following is not an example of lever? (A) See-saw (B) Nut-cracker (C) Scissors (D) Pulley

36.

Which of the following is/are non-contact force? (A) Electric force (B) Magnetic force (C) Gravitational force (D) all of the above Space for Rough Work

FIITJEE L t d . , F II T J E E H ou s e, 2 9 -A , K a l u S a r a i , S a r v a p r i y a V i h a r , N ew D el h i -1 1 0 0 1 6 , Ph 4 6 1 0 6 0 0 0 , F a x 2 6 5 1 3 9 4 2   w e b s i t e : w w w . f i i t j e e. c o m

FTRE-2013-IQ+M+S&M-V-(Set- A)-10

Chemis try (Part – B) 37.

A renewable source of energy which causes minimum or no pollution: (A) Petrol (B) L.P.G (C) Hydro power (D) C.N.G

38.

The green house gas which on combustion produces another green house gas, is (A) Nitrous oxide (B) Methane (C) Ozone (D) Chlorofluorocarbons

39.

Which of these are wrongly classified? Renewable Non-Renewable Rivers Solar energy Wind Coal Tides Diesel Waves Nuclear energy (A) Solar energy and nuclear energy (B) Coal and diesel (C) Rivers and Tides (D) Waves and nuclear energy

40.

Which of these will happen if forests disappear? (a) Animals will lose their habitat (b) CO2 in the atmosphere will increase (c) Floods (d) Soil Erosion (A) a, b and c (B) a, b and d (C) a, c and d (D) All of these

41.

Match the column I with column II Colu mn – I (a) U.V. rays (b) Chlorofluoro carbons (c) Solar energy (d) Fossil fuel (A) a  s, b  q, c  r, d p (B) a  q, b  s, c  r, d  p (C) a  s, b  p, c  q, d  r (D) a  q, b  r, c  p, d  s

42.

(p) (q) (r) (s)

Colu mn – II Non renewable energy Eye cataract and eye damage Renewable energy Ozone depletion

Inspite of the fact that energy is conserved, we have serious energy crisis in the world. This is because: (A) The sun is becoming cooler day by day. (B) The design of the engines used today is defective. (C) The fuels do not burn completely in the engines. (D) We are continuously converting energy in such forms which cannot be recycled easily to do useful works. Space for Rough Work

FIITJEE L t d . , F II T J E E H ou s e, 2 9 -A , K a l u S a r a i , S a r v a p r i y a V i h a r , N ew D el h i -1 1 0 0 1 6 , Ph 4 6 1 0 6 0 0 0 , F a x 2 6 5 1 3 9 4 2   w e b s i t e : w w w . f i i t j e e. c o m

FTRE-2013-IQ+M+S&M-V-(Set- A)-11

Mathematics (Part – C) 43.

44.

9  is equal to 10 (A) 9 (C) 90

In which of the following, does the shaded part represent one third of its whole?

(A) 45.

(B) 0.9 (D) 900

(B)

(C)

An angle which measures 180 is called (A) zero (C) straight

(D)

(B) right (D) acute

46.

Ram scored 90.5 marks out of 100 in the public examination. What was his percentage of marks? (A) 90% (B) 90.5% (C) 95% (D) 95.5%

47.

Which of the following is the greatest decimal? (A) 0.0019 (C) 0.019

(B) 0.009 (D) 0.0099

48.

8.5 can be expressed in terms of percentage as (A) 0.85% (B) 8.5% (C) 85% (D) 850%

49.

Half of 1 percent written as a decimal is (A) 0.005 (C) 0.02

50.

(B) 0.05 (D) 0.2

Two angles of a triangle measure 52 and 72 respectively. The measure of the third angle is (A) 56 (B) 50 (C) 90 (D) 54 Space for Rough Work

FIITJEE L t d . , F II T J E E H ou s e, 2 9 -A , K a l u S a r a i , S a r v a p r i y a V i h a r , N ew D el h i -1 1 0 0 1 6 , Ph 4 6 1 0 6 0 0 0 , F a x 2 6 5 1 3 9 4 2   w e b s i t e : w w w . f i i t j e e. c o m

FTRE-2013-IQ+M+S&M-V-(Set- A)-12

(FTRE-2013)

CLASS V HINTS (SET-A) 3

3

1.

(C) 5 is to 125 i.e. 5 is to 5  as 6 is to 6  = 216

2.

(D) 8 is to 64 i.e. 8 is to 8  as 9 is to 9  = 81.

3.

(A) ABC is ZYX  A  1, B  2, C  3,

2

2

J  10, K  11, L  12,

Z  26, Y  25, C  24,   so, + Q  17, P  16, O  15, 27

4.

(D)

27

3

7

+4

15

27 27

27

43

27

27

63

+8 +12 +16 +20

th

th

5.

(B) 6  to the left of 5

6.

(A) 5  5  = 25

th

letter from the right i.e. (6 + 5) = 11  letter from right. So Answer is K.

2

?

2

3

(4 )16 9 (3 )

4 5 4 2 (2 )

Direction s (Solut ion f or Q. 7 to 9): ‘+’ is ‘×’ ‘×’ is ‘÷’ ‘–‘ is ‘+’ ‘÷’ is ‘–‘

7.

(B) 21 – 8 × 2 + 12 ÷ 3 = 21 – 8 × 2 + 4 = 21 – 16 + 4 = 5 + 4 = 9.

8.

(D) 15 ÷ 5 – 3 × 1 + 1 = 3 – 3 × 1 + 1 = 3 – 3 + 1 = 1.

9.

(C) 6 + 9 × 8 ÷ 3 – 20 = 6 + 9 ×

10.

(B)

R

A

M

S

B

8 3

 – 20 = 6 + 24 – 20 = 10. N

+1 +1 +1

FIITJEE L t d . , F II T J E E H ou s e, 2 9 -A , K a l u S a r a i , S a r v a p r i y a V i h a r , N ew D el h i -1 1 0 0 1 6 , Ph 4 6 1 0 6 0 0 0 , F a x 2 6 5 1 3 9 4 2   w e b s i t e : w w w . f i i t j e e. c o m

FTRE-2013-IQ+M+S&M-V-(Set- A)-13

So, L

A

M

P

M

B

N

Q

+1 +1 +1 +1

11.

(D) Except figure (D) all figures have 5 straight line. So, answer is (D).

12.

(C) Except figure (C) all arrows are joined with tail. So, answer is (C).

Direction s (Solut ion f or Q. 13 to 16): Kalia Chhota Bheem Football Tennis (abroad) (abroad) (piano lessons) (piano lessons)

13.

(C)

14.

(A)

15.

(D)

16.

(B)

Dholu Tennis

Chutki Football

Bholu Tennis (abroad) (piano lessons)

Direction s (Solut ion f or Q. 17 to 20): W S

Q

U

P V

R T

17.

(C)

18.

(A)

19.

(C)

20.

(B)

21.

(B) Cost price of 5 aplples = Rs. 10 10 Cost price of 1 apple = Rs.  = Rs. 2 5 Hence, Answer is (B).

22.

(A) Selling price of 5 apples = Rs. 20 20 Selling price of 1 apple = Rs.  = Rs. 4. 5 Hence, Answer is (A).

23.

(A) Cost price of 100 apples = Rs. (2 × 100) = Rs. 200 Selling price of 100 apples = Rs. (4 × 100) = Rs. 400 Profit = S.P – C.P = Rs. (400 – 200) = Rs. 200. Hence, Answer is (A).

FIITJEE L t d . , F II T J E E H ou s e, 2 9 -A , K a l u S a r a i , S a r v a p r i y a V i h a r , N ew D el h i -1 1 0 0 1 6 , Ph 4 6 1 0 6 0 0 0 , F a x 2 6 5 1 3 9 4 2   w e b s i t e : w w w . f i i t j e e. c o m

FTRE-2013-IQ+M+S&M-V-(Set- A)-14

Direction s (Solut ion f or Q. 24 to 26): Total Gold = 33 kg 33 kg Eldest son will get = 2 33 33 kg.  Remaining Gold = 33  2 2 1 33 33 3 1 kg kg  5 kg or 5 kg.  Second son will get =  3 2 6 6 2 33 33 99  33 66     11kg. Remaining Gold = 2 6 6 6 11 5 kg Third (youngest son) will get =  1 kg. 6 6 11  55 1  kg  9 kg. Left Gold =  11   kg  6 6 6 

24.

(A)

25.

(B)

26.

(A)

27.

(D) The perimeter of the rectangle of ABCD = 2    b   2 10  6   32cm.

28.

(B) Area of the remaining portion = Area of rectangle – area of square DEFG – area of rectangle BHIJ. 2 = (10 × 6) – 4 – 6 = (60 – 4 – 6) cm 2 = (60 – 10) cm 2 = 50 cm

29.

(D) No change i.e. 0 cm.

30.

31.

(C) 100 cm. fencing wire cost Rs. 50 50 1 cm ……………………… = 100 50  32  = Rs. 16 32 cm …………………….. = 100 Glass sheet is a transparent object.

32.

Lunar eclipse occurs when Earth comes between moon and sun.

33.

Lightning is natural phenomenon which occurs due to movement of charge.

34.

Force is not form of energy.

35.

Pulley is not an example of lever.

36.

All the forces are non-contact force.

37.

Hydropower is the renewable source which causes no pollution, although L.P.G and C.N.G causes minimum pollution but they are non-renewable sources.

38.

Methane on combustion gives a green house gas CO2 and water vapour.

FIITJEE L t d . , F II T J E E H ou s e, 2 9 -A , K a l u S a r a i , S a r v a p r i y a V i h a r , N ew D el h i -1 1 0 0 1 6 , Ph 4 6 1 0 6 0 0 0 , F a x 2 6 5 1 3 9 4 2   w e b s i t e : w w w . f i i t j e e. c o m

FTRE-2013-IQ+M+S&M-V-(Set- A)-15

39.

Rivers, wind, tides, waves solar energy and nuclear energy are renewable, coal and diesel are non-renewable sources.

40.

When forests will disappear, animals will lose their habitat, CO2 in the atmosphere will increase. It may leads to floods, soil erosion.

41.

U.V. rays causes eye cataract and eye damage. Chlorofluoro carbons causes ozone depletion. Solar energy is renewable resource. Fossil fuel is non renewable.

42.

Even though the energy is conserved a part of it is always converted into those forms which cannot be recycled into energy without considerable efforts. 9  0.9 (B) 10

43. 44.

(D) Figure (D)’s shaded part represents one third of its whole.

45.

(C) 180º is called straight angle.

46.

(B) 90.5 marks out of 100 is 90.5%

47.

(C) 0.019

48.

(D) 8.5  100  850%

49.

(A) 1% =

50.

(A) Third angle = 180º - (52 + 72º) = 180 – 124 = 56º.

1 100



1 2



0.5 100

 0.005

FIITJEE L t d . , F II T J E E H ou s e, 2 9 -A , K a l u S a r a i , S a r v a p r i y a V i h a r , N ew D el h i -1 1 0 0 1 6 , Ph 4 6 1 0 6 0 0 0 , F a x 2 6 5 1 3 9 4 2   w e b s i t e : w w w . f i i t j e e. c o m