FTRE-13-14, CLASS-VI

FIITJEE Talent Reward Exam

for student presently in Class 6

Time: 3 Hours Maximum Marks: 194

Instructions:

Note: Check all the sheets of this question paper. Please ensure the same SET is marked on header of all the sheets inside as indicated above Maximum Marks of this page. In case SET marked is not the same on all pages, immediately inform the invigilator and CHANGE the Questions paper.

Registration Number :

Name of the Candidate : _____________________________________________________________

Test Centre : _____________________________________________________________

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

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

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

Section Question no. Marking Scheme for each question

correct answer wrong answer

Q. 1 to 12 +2 0 Q. 13 to 16 +3 1

SECTION I (IQ)

Q. 17 to 20 +6 0 Q. 21 to 23 +6 1 Q. 24 to 26 +8 2

SECTION II (MATHEMATICS)

Q. 27 to 30 +8 3

Part A Physics Q. 31 to 36 +3 1 Part B Chemistry Q. 37 to 42 +3 1

SECTION III (SCIENCE & MATHEMATICS) Part C Mathematics Q. 43 to 50 +3 1

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

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

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

6. Before attempting paper write your Name, Registration number and Test Centre in the space

provided at the bottom of this sheet.

FIITJEE Ltd., FIITJEE House, 29-A, Kalu Sarai, Sarvapriya Vihar, New Delhi -110016, Ph 46106000, 26569493, Fax 26513942 website: www.fiitjee.com

FTRE-2013(Sample)-C-VI-IQ+M+S&M-2

Time: 1 Hour

IQ Section I



SECTION I I.Q

1. What number should replace the question mark to a definite rule? 152, 160, 167, 181, 191, ? (A) 201 (B) 202 (C) 203 (D) 204 Directions (Questions 2 3): These questions are based on the following information. Ameek left for FIITJEE classes in a cab. He went 5 km towards north and then turned to his left 3 times, each time covering 5, 3 and 3 km, respectively and finally turned to his right and covered 2 km and reached the FIITJEE center. 2. In which direction is the FIITJEE centre from Ameeks house? (A) North (B) East (C) West (D) South 3. What is the shortest distance between the centre and Ameeks house? (A) 2 km (B) 3 km (C) 6 km (D) 5 km Directions (Questions 4 6): These questions are based on the following information. Each of the questions contains three objects. The relationship among these three objects can be represented by one of the Venn diagrams given below. Identify the appropriate diagram.

(A) (B) (C) (D) 4. Tiger, Fox, Carnivore

Space For Rough Work



5. Kings, Men, Human Beings 6. Females, Mothers, Doctors 7. In the following question, when (*) is replaced by the mathematical sign given in one of

the alternatives, in the same sequence, the equation becomes correct. Find the correct alternative.

24 * 9 * 2 * 6 (A) =, +, x (B) x, =, + (C) =, x, + (D) +, x, = Directions (Questions 8 9): In each of these questions, there is some relationship between the two terms to the left of :: and the same relationship holds between the two terms to its right. Also, in each question, one term to the right of :: is missing. Find the missing term. 8. Rupee : India :: Yen : ? (A) Turkey (B) Bangladesh (C) Japan (D) Pakistan 9. Drama : Stage :: Tennis : ? (A) Tournament (B) Net (C) Court (D) Racket 10. In a row of girls, Prerna is fifth from either end of the row. How many girls are there in

the row? (A) 8 (B) 9 (C) 10 (D) 11 11. A, B, C, D and E are five friends. A is shorter than B but taller than E. C is the tallest. D

is shorter than B and taller than A. Who has two persons taller and two persons shorter than him?

(A) A (B) B (C) C (D) D 12. Find the odd one:

(A) Eagle (B) Owl (C) Parrot (D) Hawk




Directions (Questions 13 14): These questions are based on the following information. Five girls are sitting in a row, Jane, is not adjacent to Mary or Ria. Grace is not adjacent to Mary. Jane is adjacent to Kate. Kate is at the middle in the row. 13. Grace is adjacent to whom out of the following? (A) Jane (B) Mary (C) Ria (D) Kate 14. Who among the following is definitely not adjacent to Kate? (A) Jane (B) Mary (C) Ria (D) Grace 15. A father tells his son, I was of your present age when you were born. If the father is 48

now, how old will be the son after two years? (A) 22 (B) 24 (C) 26 (D) 28 16. There is a number, the second digit of which is smaller than its first digit by 4 and if the

number was divided by the sum of its digits, the quotient would be two more than 5. Find the numbers. (A) 84 (B) 95 (C) 62 (D) 40 17. Some birds were sitting on the branches of a tree. First, they sat one on each branch

and there was one bird extra. Next they sat two on each branch and there was one branch extra. How many branches were there?

(A) 3 (B) 4 (C) 5 (D) 6 18. If I had one more sister I would have twice as many sisters as I have brothers. If I had

one more brother I would have the same number of each. How many brothers and sisters I have?

(I) 3 brothers (II) 2 brothers (III) 4 brothers (IV) 2 sisters (V) 3 sisters

(A) I and IV (B) II and V (C) II and IV (D) III and V




19. Poorva has six red stamps and three blue ones. In her collection, seven stamps are from Mexico and six stamps are from France. One stamp is green and it is neither from Mexico nor from France. Two of her Mexican stamps are red and one is blue. Two of her French stamps are blue and three are red. If she does not have any additional stamps, how many stamps does Poorva have?

(A) 9 (B) 10 (C) 13 (D) 15 20. There are four friends A, B, C and D. They need to cross a bridge at night and they have

only one torch light. Just before they would start climbing the bridge, they read a warning board. It read Not more than two people can cross the bridge at the same time. So now they can go two at a time and one has to come back with the torch and so on. It is also known that each of them have different walking speeds. A takes 10 minutes, B takes 5 minutes, C takes 2 minutes and D takes 1 minute to cross the bridge individually. However when walking in a pair, they have to walk with the slower persons speed. If both the going times and returning times are considered, what is the minimum time by which they all can cross the bridge?

(A) 14 minutes (B) 17 minutes (C) 9 minutes (D) 21 minutes




Time: 2 Hours

Section II

&

Section III



SECTION II MATHEMATICS

COMPREHENSION TYPE

Passage 1 (For questions no. 21 - 23)

The sum of any two sides of a triangle is greater than the third side. Also, the difference of any two sides of a triangle is less than the third side. 21. In ABC, AB 6cm and BC= 4 cm. The side CA can have which of the following

lengths. I . 10 cm II 8 cm. III. 2 cm IV. 4 cm

(A) I or II (B) II or IV (C) II, III or IV (D) Any of these

22. Which of the following is set of measures of the sides of a triangle?

(A) 8 cm, 4 cm, 20 cm (B) 9 cm, 17 cm, 25 cm (C) 11 cm, 16 cm, 28 cm (D) None of these

23. The following are the steps involved in finding the third side of an isosceles triangle

whose sides are 8 and 17 cm. Arrange them in sequential order. (P) But the sum of two sides is greater than the third side (Q) Since the given triangle is isosceles, the possible measure of the third side is either 8

cm or 17 cm (R) The measure of the third side is 17 cm (S) 8 cm cannot be the measure of the third side. (A) QSPR (B) QRPS (C) QPSR (D) QPRS





Angles around a point sum up to 360o.

po

qo

ro so

to

In the given figure, op q r s t 360 When the sum of two angles is 90o, the two angles are said to be complementary angles. For example, if ox y 90 , then x is the complement of y. When the sum of two angles is 180o, the two angles are said to be supplementary angles.

24. The three angles of a triangle are such that the second angle is thrice the first angle and

the third angle is 60o less than twice the second angle. Find the smallest angle. (A) 24 (B) 42 (C) 72 (D) 84

25. In the figure, the angles a, b, c, d and e are consecutive

even integers in degrees. b = _____ (A) 71o (B) 70o (C) 74o (D) 72o

ao

eo

do co

bo

26. X is an acute angle. The measure of twice of X and Xs supplement differ by 30o. Find X

(A) o60 (B) o70 (C) o110 (D) o120





A regular polygon is a polygon with all sides equal. In a regular polygon, all the interior angles are equal & also, all the exterior angles are equal to one another. In an n sided polygon there are n interior angles and n exterior angles, as shown in the figure.

z

u c

d

b

a

e

y

x

v

Here a, b, c, d and e are interior angles and u, v, x, y and z are exterior angles. Each polygon of n sides can be divided into (n 2) non-overlapping triangles. For example, a pentagon can be divided into 3 triangles as follows.

Given the above information answer the following questions: 27. What is the sum of interior angles (in degrees) of an n sided polygon?

(A) 180 n (B) 180 (n 2) (C) 360 n (D) 360 (n 2)

28. What is the sum of exterior angles of a polygon?

(A) o180 (B) o180n (C) o360 (D) o540

29. What is the measure of each interior angle of a regular nonagon (9 sided polygon)?

(A) o100 (B) o70 (C) o120 (D) o140




30. What is the measure of each exterior angle in a regular hexagon (6 sided polygon)? (A) 40o (B) 60o (C) 120o (D) 150o

SECTION III

SCIENCE & MATHEMATICS

PHYSICS (PART- A) 31. While measuring the length of a line segment the reading of the scale at one end is 3.2

cm and at the other end is 14.1 cm. What is the length of the line segment in millimeter? (A) 10.9 mm (B) 99 mm (C) 109 mm (D) 11.9 mm 32. Read the following statements: (I) Light travels in straight line. (II) Mirror reflection gives us clear images. (III) Images are very different from shadows. (IV) Translucent objects allow light to pass through them completely. Now choose the correct option: (A) Only (I), (II) and (III) are correct. (B) (I), (II), (III) and (IV) are correct. (C) Only (II), (III) and (IV) are correct. (D) Only (I) and (IV) are correct. 33. Which of the following has rotational as well as linear motion? (A) Turning of a Ferris wheel. (B) Turning of a merry-go-round. (C) An athlete running on a circular track. (D) Motion of a screw driver. 34. All photographic cameras produce (A) real and erect images. (B) virtual and inverted images. (C) real and inverted images. (D) virtual and erect images.




35. Raman covers one-fourth of his total journey with a speed of V1 m/s and the remaining journey with a speed of V2 m/s. Find his average speed for whole journey.

(A) 1 21 2

3V V4V V

m/s (B) 1 21 2

4V V3V V

m/s

(C) 1 21 2

4V VV 3V

m/s (D) 1 21 2

3(V V )4V V

m/s

36. A candle is initially placed at a distance of 2.5 m in front of a plane mirror. A boy

displaced the candle 2 m away from the mirror. Now the distance between the candle and its image is

(A) 5 m (B) 9 m (C) 4.5 m (D) 2.5 m

CHEMISTRY (PART- B) 37. Cotton is grown in different parts of India that needs some special conditions for its

growth. Read the following statements and identify the correct options related to cotton: (i) Cotton plants need warm climate (ii) Cotton plants grow well in standing water (iii) Cotton seeds are to be sown in early spring (iv) Cotton is cultivated in sandy soil (A) i and iv (B) ii and iii (C) iii and i (D) iv and iii 38. Some properties of jute fibres are listed below. Choose the incorrect statement(s) from them (p) Jute fibres are strong (q) Jute fibres are about ten meters long (r) Jute fibres have silky texture (s) Jute fibres are light green in colour (A) only p (B) only q (C) both p and r (D) both q and s




39. Different things are made up of different materials. Match the correct material (s) with each thing given in the table by choosing the appropriate option.

THINGS MATERIAL (1) Chair (p) Plastic (2) Bottle (q) Steel (3) Switch (r) Cotton (4) Shirt (s) Glass

(t) Wood (A) 1 t, 2 s, 3 pq, 4 r (B) 1 pt, 2 ps, 3 p, 4 r (C) 1 qt, 2 t, 3 q, 4 r (D) 1 p, 2 q, 3 pt, 4 r 40. You are asked to classify 100 buttons into different groups. Which group of properties do

you choose for the best classification? (A) material, shape, solubility (B) colour, texture, physical state (C) shape, taste, physical state (D) holes, colour, size 41. Two liquids are said to be miscible if they have the following property: (A) The two liquids dissolve in each other in all proportions (B) The two liquids dissolve in each other in definite proportion (C) The two liquids have nearly the same boiling point (D) The two liquids can be separated by using a separating funnel 42. A mixture contains three white coloured substances glucose, chalk powder and

ammonium chloride. Which sequence of the following methods do you suggest to separate them?

(A) sublimation, filtration, loading, distillation (B) dissolution, sedimentation, evaporation, crystallization (C) sublimation, dissolution, filtration, evaporation (D) dissolution, filtration, sublimation, evaporation




MATHEMATICS (PART- C) 43. The sum of two integers is 156. If one of them is 247, find the other.

(A) 19 (B) 91 (C) 403 (D) 403

44. If the temperature of city X is 30o C and the temperature of city Y is 12o C, then

difference in temperature between the two cities is: (A) 42o C (B) 18o C (C) 18o C (D) 42o C

45. Which of the following would give the value zero?

(A) 58 0 (B) 58 1 (C) 58 0 (D) 58 58

46. Which of the following is false? I. HCF LCM of a and b = a + b II. HCF LCM of a and b = a b III. HCF LCM of a and b = a b IV. HCF LCM of a and b = a b

(A) Only I and III (B) Only II and IV (C) Only I, III and IV (D) All of them

47. How many digits are required to number a book containing 200 pages?

(A) 200 (B) 492 (C) 372 (D) 250




48. In the figure below, PQ = QS, QR = RS and angle oSRQ 100 . What is the measure of QPS ?

(A) 20o (B) 40o

(C) 15o (D) 30o

S

P Q R 49. If 1 2L L in the figure below, what is the value of x?

(A) 80o (B) 100o

(C) 40o (D) Cannot be determined

L3 L4

xo

L1

L2

80o

50. The product of three consecutive natural numbers, the first of which is an even number,

is always divisible by (A) 12 (B) 24 (C) 6 (D) All of these




FIITJEE Talent Reward Exam

Class 6

ANSWERS

SECTION I I.Q

1. B 2. C 3. A 4. B

5. A 6. C 7. C 8. C

9. C 10. B 11. D 12. C

13. A 14. D 15. C 16. A

17. A 18. B 19. D 20. B

SECTION II MATHEMATICS

21. B 22. B 23. C 24. A

25. B 26. B 27. B 28. C

29. D 30. B

SECTION III

SCIENCE & MATHEMATICS

31. C 32. A 33. D 34. C

35. B 36. B 37. C 38. D

39. B 40. D 41. A 42. C

43. C 44. D 45. C 46. C

47. B 48. A 49. D 50. D

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FTRE-13-14, CLASS-VI

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