SOLUTION NATIONAL TALENT SEARCH EXAMINATION 2017 Stage-2 MENTAL ABILITY TEST (MAT)

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1 For Class 6th to 0th, NTSE & Olympiads NATIONAL TALENT SEARCH EAMINATION 07 Stage-. Some translated words in an artificial Language (in which the word order is not necessarily same) are given below mie pie sie good person sing pie sie rie sing good lyrics tie rie sie love good lyrics What is the translation for person love lyrics? () pie tie rie () tie rie sie () rie mie tie () sie mie pie mie pie sie good person sing...() pie sie rie sing good lyrics...() tie rie sie love good lyrics...() From (), () & () code for good is sie From () & () code for lyrics is rie From () & () code for sing in pie So code for a person is mie. From () code for love is tie.. In the given sequence, some letters are missing. Which of the given options can fill the blanks in the correct order from left to right? Ans. () ab_ab_aaa_bbaaa_bbbb () abab () abba () aabb () baba ab/aabb/aaabbb/aaaabbbb. Identify the number in the position of? () () () () 6 Ans. () 00? 99 ( + 0) -( + ) = 6 (7 + 0) -(6 + ) ( + 00) -( ) = 0 =

2 For Class 6th to 0th, NTSE & Olympiads NATIONAL TALENT SEARCH EAMINATION 07 Stage-. Find the missing number ? () () 0 () () Ans. () = 0 =07 =. If A, B, C, D are distinct decimal digits, then which of the following options is correct? A B C C A D C () A = B = 7 C = D = 9 () A = B = C = 6 D = () A = B = C = 6 D = () A = B = C = D = 7 Ans. () A B C C A D C Þ A = B = C = D = Observe the following figures representing a balance. gm 7 gm 9 gm Which of the following figures represents the correct balance? () gm () gm () gm () gm

3 For Class 6th to 0th, NTSE & Olympiads NATIONAL TALENT SEARCH EAMINATION 07 Stage- =... () 7 =... () 9 =... () From () & () 9 = = = = 6 = = 7. Choose appropriate option from given alternatives such that the relationship defined by : is preserved. PNIJ : LIFC and VTRP : () ROLI () SOLH () RPOM () DMEN Ans. () P N L J V T R P 7 : L I F C 6 7 : R O L I 6. A coin is in a fixed position. Another identical coin is rolled around the edge of the first one. How many complete revolutions will be made by the revolving coin before it reaches its starting position? () () () () Ans. () The point of contact no. both the stationary coin and the rotating coin must move the same distance, half the circumference of the coin.

4 For Class 6th to 0th, NTSE & Olympiads NATIONAL TALENT SEARCH EAMINATION 07 Stage- 9. If South-East becomes North; and North-East becomes West; then West becomes () North East () South East () North West () South West Ans. () South-East becomes North Changes by ACW West becomes South east 0. A cube is 6 cm in length, breadth and height. It is painted red on two opposite faces, black on the other two opposite faces and green on the left over faces. It is then cut into 6 cubes of side cm. How many small cubes have no face painted? () 6 () () 6 () 6 = 6 Number of small cubes have no face painted = (6 ) = 6. Find the odd one out of the following terms : EF, JK, GH, VW90, IJ () EF () GH () IJ () VW90 Ans. () Sum of positions value of alphabets = Given number EF + 6 = Þ. Choose the conclusions which logically follow from the given statements. Statement: All the pens are papers All the papers are boats Some birds are boats. Conclusions : (A) Some boats are pens (B) Some birds are papers (C) None of the pens are birds () Only A and B () Only A () Only C () Only A and C Ans. () Boat Paper Pen Bird

5 For Class 6th to 0th, NTSE & Olympiads NATIONAL TALENT SEARCH EAMINATION 07 Stage-. How many quadrilaterals are there in the given figure? () 0 () () () Quadilateral are,,,,,,,, =. Which of the following alternatives will fit in place of M?, 60, 9, M, () 00 () 0 () 60 () M Which of the following alternatives will fit in place of M? Ans. () L6, O, R, M,, A, D7 () U () U6 () W () U L 6, O, R, M,, A, D

6 For Class 6th to 0th, NTSE & Olympiads NATIONAL TALENT SEARCH EAMINATION 07 Stage- 6. Which of the following alternatives will fit in place of M? 7 6 () 6 () () () = = Similarly M = M = 7. If S means, d means, s means + and µ means then evaluate the following expression usuing standard operator precedence. 6d(6s)Sµ () () () () 6 (6 + ) 6 6 =. With what operators, should the and < be replaced so that the following expression is valid. 00 < 6 = () + and () and () + and () and 00 < 6 = Þ 00 6 Þ 00 + Þ 00 + Þ Þ M 6

7 For Class 6th to 0th, NTSE & Olympiads NATIONAL TALENT SEARCH EAMINATION 07 Stage- 9. x is an integer such that it leaves a remainder of when divided by, leaves a remainder of when divided by, and leaves a remainder of when divided by 7. What could be a possible value of x from among the following options? Ans. () () () 6 () 7 () According to the questions, the number is x = Q + Also, x = Q + and x = 7Q + from above x = Q + = Q + = 7Q + Þ On solving we get Q =, Q =, Q =? so the solution is x = 6 0. In how many ways can you distribute 0 identical balls into two non-identical boxes so that none are empty? () () () 9 () 0 Box Box Clearly total ways are 9.. One line forms two regions in a plane. Similarily, two lines in a plane can form a maximum of four regions. These are shown in the figures below : Region Region Region Region Region Region What is the maximum number of regions that can be formed by lines in a plane? Lines need not be concurrent. () 7 () () 0 () 7

8 For Class 6th to 0th, NTSE & Olympiads NATIONAL TALENT SEARCH EAMINATION 07 Stage- Ans. () You need to take n arbitrary points on or inside a square of side cm such that there will always be a pair of points at a distance of not more than cm. What is the minimum value of n? () () () () A D E B C Minimum No. of points inside a square of side cm are A, B, C, D, E whose pairwise distance is not more than.. The following facts are known about an unknown number : I : The sum of digits of is. II : The unit s digit of is 6. Then which of the following statement is certainly true about? () is divisible by but not by 6 () is divisible by 6 but not by 9 () is not divisible by 6 but divisible by 9 () is divisible by both 6 and 9 Ans. () Sum of digit s is divisible by and unit digit is even number is divisible by 6. and sum of digit is not divisible by 9.. The average age of A, B and C is years. Which of the following statements are required to find the eldest among them? Statements: I : Age of C is 6 years. II : Age of A is years. () I is sufficient () Both I and II are required () I and II together are not sufficient () II is sufficient

9 For Class 6th to 0th, NTSE & Olympiads NATIONAL TALENT SEARCH EAMINATION 07 Stage- Ans. () A+ B+ C = \ A + B + C = 9 If C = 6 A + B = 6 Since sum of ages of A + B is less than age of C, hence statement I alone is sufficient. Direction (Questions 6) A class is to be taught five subjects Hindi, Physics, Chemistry, Biology and Mathematics by five different teachers A, B, C, D and E in five periods ( to ). A teacher can teach in only one of the periods. The following details are available about the teaching. A teaches mathematics which is not taught in the first period. Physics is taught by D in an even numbered period. Chemistry is taught in an odd period, and it precedes mathematics period. E teaches in the first period. C teaches Chemistry but not in the first or the last periods. Hindi is taught in the last period. A B C D E Phy Chem Bio Maths Hindi O O O O O O O O O O O O O O O O O O O O. Which of the following statements is necessarily true? () Third period is of Hindi taught by B () Second period is of Physics taught by C () Fourth period is of Mathematics taught by A () Fifth period of Biology taught by D 6. Which subject is taught by B? Ans. () () Physics () Chemistry () Biology () Hindi 9

10 For Class 6th to 0th, NTSE & Olympiads NATIONAL TALENT SEARCH EAMINATION 07 Stage- 7. A solid metallic cylinder of radius cm and height 7 cm is melted and moulded into another solid cylinder of height 6 cm. What is the radius of the new cylinder? () () p () 0 () p Volume of C = Volume of C pr h = pr h 7 = R 6 \ R = 0. Choose the option which shows the correct mirror image of the characters given below. D I V E R T 6 7 A L E () () 9 () () By observation Direction (Questions 9 0) There are 0 students in a class. 0 students play both hockey and kabaddi. The same numbers of students play only football. students play both hockey and football but not kabaddi. play both football and kabaddi but not hockey. The number of students who play only hockey is the same as the number of students who do not play any of three mentioned games and the number of students who play only hockey is half of the number of students who play only football. H 0 0 x 0 F 0 0 K 0 9. How many students play only kabaddi? () 0 () 0 () 0 () 0 0. How many students play only hockey? () 0 () () 0 () Ans. () 0

11 For Class 6th to 0th, NTSE & Olympiads NATIONAL TALENT SEARCH EAMINATION 07 Stage-. What will be the number in the blank box? () 9 () () 9 () 9 Ans. () + + = = 77 \ = 9. What is the total number of circles in the figure given below? () () () () 6 By observation. A bucket contains milk mixed with water, of which parts are water and parts are milk. A part of the mixture is removed from the bucket and is replaced by water. What portion of the mixture should have been removed so that the new mix contains milk and water in equal proportion? () () let total quantity be x litre water = x lit let y lit mixture is removed water removed = y \ According to question. x y x y - + y = - milk = x lit, milk removed = y () () 6 on solving we get = y x

12 For Class 6th to 0th, NTSE & Olympiads NATIONAL TALENT SEARCH EAMINATION 07 Stage-. You need to colour the circles in such a way that no two circles connected by a line get the same colour. What is the minimum number of distinct colours needed to colour all the circles in the figure? () () () 6 () 7 Ans. (). From each box you can move only to the immediate right box or the immediate top box. You cannot move into or through a shaded box. How many ways are there to move from the box marked S to the box marked D? D S () () 0 () ()

13 For Class 6th to 0th, NTSE & Olympiads NATIONAL TALENT SEARCH EAMINATION 07 Stage- 0 7 S 0 6. Which number will come in the place of M? M () () () 0 () 6 Ans. () 6 (7 - ) = 0 ( - ) = 0 6 (9 - ) = 9 (0-7) = 7. The square of the length of a rod AB is 7 cm. If we place the rod in the corner of a room, so that the end A is always on the edge between the two walls of the corner and the end B is always on the floor, what is the maximum possible area of the triangle formed by the rod, the edge between the walls and the floor? () 6 cm () cm () cm () cm Area of right triangle is maximum, when base is equal to perpendicular. x + x = ( 7 ) x = 6 cm x 7 \ Area = 6 6 = cm x

14 For Class 6th to 0th, NTSE & Olympiads NATIONAL TALENT SEARCH EAMINATION 07 Stage-. What is the missing term? in the following series?, 6, 6,, 0,,,,,? () () () 9 () Ans. () Alternate series, 6, 0,, 6,,,, 9. In the question given below, there are two statements followed by two conclusions. You have to take the given statements to be true even if they seem to be at variance from commonly known facts. Read all the conclusions, and then decide which of the given conclusions logically follows from the given statements? Statements : Some kings are queens All the queens are beautiful. Conclusions: I. All the kings are beautiful II. All the queens are kings. () Only I follows () Only II follows () Neither I nor II follows () Both I and II follow K Q B K Q All kings are beautiful not follows All the queens are kings not follows \ Neither I nor II follows B 0. If prime numbers are assigned to English alphabets from A to Z in order MAT will be : () 67 () 67 () 7 7 () 7 Ans. () A B C D E F G H I J K 7 L M N O P Q R S T U V 9 97 W Y

15 For Class 6th to 0th, NTSE & Olympiads NATIONAL TALENT SEARCH EAMINATION 07 Stage-. What number comes inside the square in place of 6 Ans. () 7 () () 6 () 7 () + =, 9 \ + = =. Find the alphabet that will replace? Ans. () 9 I II III H P I? Y () A () D () O () N = = H = 6 = P = 9 = I = = A = = Y

16 For Class 6th to 0th, NTSE & Olympiads NATIONAL TALENT SEARCH EAMINATION 07 Stage-. In a certain language IMPHAL is coded as JLRFDI. How will MYSURU be coded in the same language? () NUSUR () RUSUN () NSUUR () NTTUR Ans. () I M + P H A + + J L R F D I L \ M Y S U R U N U S U R. What time should the IV clock show? (I) (IV) (I) (V) 6 (III) 9 6 (VI) () :00 () :0 () :0 () :00 Ans. () (I) (II) (III) (IV) (V) (VI) : 0 : 0 : 0 : 0 : 0 :

17 For Class 6th to 0th, NTSE & Olympiads NATIONAL TALENT SEARCH EAMINATION 07 Stage-. How many crosses should be there in the box marked with??? Ans. () () () () () Total number of is the given pair as, 6,, 0, 6. Find the missing term. Ans. () a, b, d,,p () h () i () j () k Pattern is : +, +, +, +, A is East of B and West of C, D is South-West of C, and B is South-East of E. Ans. () When seen from West to East, which of the following sequences are possible? I: EBDAC II: DEBAC III: EBADC IV: EDBAC () I and III () I, III and IV () I, II and III () all, I, II, III and IV E D B A C D D D In the above figure when seen from west to east, then possible sequence are - EBDAC, DEBAC, EBADC, EDBAC. A, B, C and D are to be seated in a row. C and D cannot be on adjacent seat. Also, B cannot be at the third place. Which of the following must be false? () A is at the fourth place () A is at the third place () A is at the second place () A is at the first place 7

18 For Class 6th to 0th, NTSE & Olympiads NATIONAL TALENT SEARCH EAMINATION 07 Stage- Ans. () D/C A C/D B B C/D A D/C D/C B C/D A A B C/D C/D A C/D C/D B or Clearly, from the figure A will not sit at the first place. 9. Mrs. Kirandeep, a driving instructor, has to arrange training schedule for some of her pupils. She has new pupil who wish to book either a morning or evening of a particular day. The appointment can be given for Tuesday, Wednesday, Friday and Saturday. The instructor instructs only one pupil in morning and one in the evening session. Mrs. Sabita is only available Tuesday morning but Mr. Aaditya can make any time on a Wednesday. Mrs. Firdaus is free on Tuesday all day but Mr. Naved is only free Wednesday evening. Mrs. Seema is only available Friday morning whereas Mrs. Ritu can only make Saturday evening. Mrs. Shalu is available all day Fridays whereas Mr. Ronald can make any time on a Saturday. Which of the following two should have morning appointments? () Mr. Ronald and Mrs. Shalu () Mr. Ronald and Mrs. Firdaus () Mr. Aaditya and Mrs. Firdaus () Mr. Aaditya and Mr. Ronald Ans. () Tuesday Wednesday Thusday Friday Saturday Morning Mrs.Sabita Mr.Aaditya Mrs. Seema Mr.Ronald Evening Mr. Naved Mrs. Firadus Mrs. Ritu Clearly, Mr. Aaditya & Mr. Ronald have morning appointments. 0. Just before sunset Veena and Zeba were talking to each other standing face-to-face. If Veena sees Zeba s shadow to be exactly towards the right of Zeba, which direction was Veena facing? () South () North () East () North-East Ans. () North West Veena ß Ý Zeba South East

(BASED ON MEMORY) HELD ON: TEST - I: REASONING ABILITY

(BASED ON MEMORY) HELD ON: TEST - I: REASONING ABILITY RRB OFFICER (PT) (BASED ON MEMORY) HELD ON: 06-11-2016 TEST - I: REASONING ABILITY Directions (Q. 1-5): Study the given information carefully to answer the given questions. Eight people - E, F, G, H, Q,