ALL INDIA NTSE (STAGE-II) TEST SERIES
MOCK TEST # 3 CLASS -X MENTAL APTITUDE TEST (MAT) Time : 1½ Hr.
Max. Marks : 100
GENERAL INSTRUCTIONS 1. The booklet given in the examination hall is the Question Paper.
2. A student has to write his/her answers in the OMR sheet by darkening the appropriate bubble with the help of HB Pencil as the correct answer(s) of the question attempted.
3. The question paper contains 100 questions. Each carries one mark.
4. Blank papers, clip boards, log tables, slide rule, calculators, mobile or any other electronic gadgets in any form is not allowed. 5. Write your Name & Roll No. in the space provided in the bottom of this booklet. 6. There is no negative marking. Do not spend too much time on a particular question. 7. Before answering the paper, fill up the required details in the blank space provided in the answer sheet. 8. In case of any dispute, the answer sheet available with the institute shall be final.
PCCP Head Office : Address : Lakshya, C-8, Nursery Plots, Talwandi, Kota (Rajasthan)-324005 Tel. No. : +0744-2434727,8824078330, Fax : 0744-2427146 | Website : www.pccp.resonance.ac.in E-mail :
[email protected]
MAT PAPER Directions : (1 to 3) In each of the following questions there is a number series with one term missing, which is shown by question mark (?). Find the missing term out of the given alternatives. 1. 2. 3.
59, 61, 67, 71, 73, ? (A) 79
(B) 78
(C) 77
(D) 75
6, 7, 7, 10, 9, ?, 12, 16, ? (A) 12, 16 (B) 12, 15
(C) 13, 15
(D) 13, 16
3, 13, 22, 32, 59, 69, 120, 130, ? (A) 201 (B) 211
(C) 226
(D) 232
Directions : (4 to 5) In each of the following questions there is a number series with one incorrect term. Find out the incorrect term out of the given alternate 4. 5.
122, 145, 170, 197, 226, 257, 288 (A) 288 (B) 257
(C) 226
(D) 122
1, 1, 2, 4, 8, 11 (A) 2
(C) 8
(D) 1
(B) 4
Directions :(6 to 8) Understand the following four letter series carefully. (Series) (A) ABC, BCD, CDE, DEF (B) CDX, DEW, EFV, FGU (C) CYW, EXV, GWU, IVT (D) CEG, DFH, EGI, FHJ In the following questions , a term is given which belongs to one of the above series. Find out to which series it belongs and indicate its option in the answer sheet. 6.
ZAB
7.
GHT
8.
BCY
Directions : (9 to 10) Each of the following questions is based on letter series in which some letters are missing. In the given options missing letter is given in proper sequence. Select the correct option of each question. 9. 10.
a_b_bbca_c_b (A) c b a b
(B) a c c a
(C) a b b a
(D) b b c c
xy__xyy_xy_x (A) x y y y
(B) x y x x
(C) y x x y
(D) x y y x
Space For Rough Work
MAT_NTSE STAGE-II MOCK TEST PAPER-3_PAGE # 1
Directions : (11 to 14) Get the rule and find the suitable option for blank cell. 11.
12.
9 5 34 22 7 71 ? 11 157 (A) 36
(B) 34
(C) 32
(D) 28
4 8 18 10 12 29 16 15 ? (A) 32
(B) 36
(C) 38
(D) 48
(C) 5
(D) 4
(C) 14
(D) 12
(C) J
(D) A
3
5 13.
(B) 6
49 4
13
64 16
9
16.
36
? 25
(A) 16 15.
?
3
2
(A) 7
14.
80 45
12
15
81 16 1
(B) 15
Which letter comes only once in the list belowBD G IJ CHABDED G F C J IF G J (A) G (B) D
After leaving the first five letters of alphabet series, point out the middle letter of remaining letters. (A) P (B) M (C) Q (D) L
Direction : (17 to 21) The capital letters in each of the following words are coded and written in small letters, but not in the same order as the letters in the word. Find the codes for letters and answer the question.
SERIES –oaeoep S CAR E – p ok e d SEED –ioeo CAR D – p i k d ACT– d n k 17.
RED (A) iod
(B) oed
(C) dnp
(D) iop
Space For Rough Work
MAT_NTSE STAGE-II MOCK TEST PAPER-3_PAGE # 2
18. 19. 20. 21.
22.
TEAR (A) pnoi
(B) penk
(C) koni
(D) pkno
SET (A) neo
(B) ien
(C) nko
(D) pnk
CITE (A) idoa
(B) pkoi
(C) oand
(D) dain
DICE (A) diok
(B) pokn
(C) aodn
(D) doai
Sunil walked 6 kms towards the East. Then turned to his right and walked 10 kms. Again he turned to his right and walked 6 kms. Finally he turned to his left and walked 14 kms. How far is he from the starting point and in which direction ? (A) 25 kms — South (B) 24 kms — South (C) 24 kms — North (D) 20 kms — North
Directions : (23 to 25) Study the information given below and answer the questions that follow : Raju is a carpenter. He has five tools with which he works. They are A, B, C, D and E. Each of them has a different weight as given below : (i) A weighs twice as much as B (ii) B weighs four and a half times as much as C (iii) C weighs half as much as D (iv) D weighs half as much as E (v) E weighs less than A but more than C 23. 24.
Which of the following is the most light in weight ? (A) A (B) D (C) B
(D) C
Which of the following is most heavy in weight ? (A) A (B) B (C) C
(D) D
25.
Which of the following represents the descending order of weights of tools ? (A) B, D, E, A, C (B) A, B, E, D, C (C) B, D, E, C, A (D) E, C, D, A, B
26.
Which number between 50 to 86 is missing in the grid ? 55
72
53
71
61
56
76
69
64
70
75
65
78
57
81
50
58
59
60
83
66
84
74
67
82
51
77
54
80
52
73
86
62
85
63
79
(A) 68
(B) 71
(C) 51
(D) 83
Space For Rough Work
MAT_NTSE STAGE-II MOCK TEST PAPER-3_PAGE # 3
27.
Which letter appears five times in the grid below ? O
A
G
C
E
H
D
J
A
O
O
N
O
R
N
M
F
P
K
D
G
A
F
N
P
B
G
M
F
M
G
B
I
K
H
D
J
C
R
I
G
O
N
L
O
O
E
H
R
F
R
M
A
F
O
D
(A) A 28.
(B) M
(C) O
(D) F
Delete all the numbers that appear more than once in the list below and add the remaining together. What is the answer. 5235134264687385792 (A) 10 (B) 15 (C) 9 (D) 11
Directions : (29 to 30) Read the information given below to answer questions. X is mother of Y but Y is not the daughter of X. S is son of G and brother of T. T is sister of Y. 29.
30.
31.
What is the relationship between G and T ? (A) Father-Daughter (B) Mother-Daughter
(C) Brother-Sister
(D) Can’t be found
What is the relationship between G and X ? (A) Husband - Wife (B) Brother - Sister
(C) Uncle - Niece
(D) No relation
On Independence day, chocolates were to be equally distributed among 360 children in a school. Actually on that day 120 children were absent ,on account of this each child got 5 chocolates extra. How many chocolates each student got on that day ? (A) 12 (B) 10 (C) 15 (D) 6
Directions : (32 to 36) Read the following information carefully and answer the questions that follow. (i) There are six students ( A, B, C, D, E and F) in a group. Each student can opt for only three choices out of the six which are music, reading, painting, badminton, cricket and tennis. (ii) A, C and F like reading. (iii) D does not like badminton, but likes music. (iv) Both B and E like painting and music. (v) A and D do not like painting, but they like cricket. (vi) All student except one like badminton. (vii) Two students like tennis. (viii) F does not like cricket, music and tennis. 32.
Which pair of students has the same combination of choices ? (A) A and C (B) C and D (C) B and E
(D) D and F
Space For Rough Work
MAT_NTSE STAGE-II MOCK TEST PAPER-3_PAGE # 4
33. 34. 35. 36.
Who among the following students likes both tennis and cricket ? (A) A and B (B) C (C) B and D
(D) D
How many students like painting and badminton ? (A) 1 (B) 2
(C) 3
(D) 4
Who among the following do not like music ? (A) A , C and D (B) A, B and C
(C) A, C and F
(D) B, D and F
Which of the following is the most popular choice ? (A) Tennis (B) Badminton
(C) Reading
(D) Painting
37.
The letters L, M, N, O, P, Q, R, S and T in their order are substituted by nine integers 1 to 9 but not in that order. 4 is assigned to P. The difference between P and T is 5. The difference between N and T is 3. What is the integer assigned to N ? (A) 7 (B) 5 (C) 4 (D) 6
38.
Six students A, B, C, D, E and F are sitting in the field. A and B are from Delhi while the rest are from bangalore. D and F are tall while others are short. A, C and D are girls while others are boys. Which is the tall girl from Bangalore ? (A) F (B) D (C) E (D) C
Directions : (39 to 40) In the following questions which set of signs should complete the asterisks () sequentially in order to make the equation mathematically meaningful ? Find the correct set of signs form among the alternatives given under each question. 39.
40.
24 2 2 10 (A) =, –, ÷ (B) ÷, =, – 24 2 2 10 or 24 ÷2 – 2 10. 48 6 8 3 3 (A) ÷, =, –, +
(B) =, ÷, + –
(C) ÷, –, =
(D) =, ÷, –
(C) +, –, = ,+,
(D) –, +, ×, =
Directions :(41 to 44) In the following questions, one of the following rules I, II, III, IV and V given below has been applied to the set of numbers given in each question. Find out which of the rules has been applied to the question and write its number on the answer sheet. Rules (I) Square the number and add the same number to it (II) Divide the number by 2 and add 5 to the quotient (III) Square the number and add cube of the same number (IV) Cube the number and add the same number to it (V) Add 2 to the cube of the number 41. 42.
10, 66, 127 (A) I
(B) III
(C) IV
(D) V
80, 150, 252 (A) II
(B) III
(C) IV
(D) V
Space For Rough Work
MAT_NTSE STAGE-II MOCK TEST PAPER-3_PAGE # 5
43. 44.
20, 42, 90 (A) I
(B) II
(C) III
(D) IV
12, 36, 80 (A) I
(B) II
(C) III
(D) V
Directions : (45 to 49 ) In each question there is some relation between the first two terms. Same relationship exists in the next two terms. The missing term (?) is out of the options given below. Find the correct option. 45. 46. 47. 48. 49.
? : I R O L :: O L I R : U F C X (A) F C U X (B) E C X U
(C) C X F U
(D) C X U F
K A V E R I : M D Z I U K :: S I N G E R : ? (A) K H T U L R (B) R K H T U L
(C) U L R K H T
(D) T H K L U R
T A L K : Q Q E W :: R O P E : ? (A) J V V S (B) K U S U
(C) J U S S
(D) K J J S
121 : 2 :: 961 : ? (A) 1
(B) 3
(C) 4
(D) 5
11 : 30 :: ? : 128 (A) 65
(B) 66
(C) 67
(D) 68
Directions : (50 to 54) In each question there are four sets of letters/words. One set is different from the rest three in some way or the other. Find out this different set. 50.
(A) E M G Q T
(B) T P V R X
(C) O X N Z P
(D) U M S W Q
51.
(A) C G L R
(B) D H M S
(C) M Q V A
(D) F J O U
52.
(A) 441, 12
(B) 256, 13
(C) 484, 16
(D) 289, 19
53.
(A) 82, 16
(B) 63, 18
(C) 54, 22
(D) 46, 24
54.
(A) 121, 2
(B) 144, 3
(C) 169, 4
(D) 225, 1
Directions : (55 to 56) Choose the Venn diagram which best describe the relationship among the three give classes (The size of circle does not indicate relative sizes of classes) 55.
Triangles, Quadrilaterals, Squares
(A)
(B)
(C) 56.
(D)
Players, Human Beings, Students
(A)
(B)
(C)
(D) Space For Rough Work
MAT_NTSE STAGE-II MOCK TEST PAPER-3_PAGE # 6
57.
Mohan was born on August 22. Arvind is younger than Mohan by 10 days. This year independence day falls on Tuesday. On which day Arvind birthday fall ? (A) Tuesday (B) Wednesday (C) Thursday (D) Friday
58.
A friend of mine came to meet me every Sunday. The first time he came at 12 : 30 ; the next time at 1:20, then at 2 : 30, then at 4.00 when did he turn up the time after that ? (A) 4.30 (B) 5.50 (C) 5.30 (D) 5.20
Directions : (59 to 63) A cube painted red on two adjacent faces and black on the faces opposite to the red faces and green on the remaining faces is cut into 64 smaller cubes of equal size. 59.
60.
61.
62.
63.
How many cubes have no face painted ? (A) 0 (B) 4
(C) 8
(D) 16
How many cubes have only one face painted ? (A) 8 (B) 24
(C) 28
(D) 48
How many cubes have less than three faces painted ? (A) 8 (B) 24 (C) 28
(D) 48
How many cubes are there with the three faces painted ? (A) 4 (B) 8 (C) 16
(D) 24
How many cubes have one face green and at least one of the adjacent faces black or red ? (A) 8 (B) 16 (C) 24 (D) 28
Direction : (64) The six faces of a cube have been marked with numbers 1, 2, 3, 4, 5 and 6 respectively. This cube is rolled down three times. The three positions are given. Choose the figure that will be formed when the cube is unfolded.
64.
(A)
(B)
(C)
(D)
Space For Rough Work
MAT_NTSE STAGE-II MOCK TEST PAPER-3_PAGE # 7
Directions :( 65 to 67) In the following questions , there are figures to the left of the mirror indicated by lines and
\\\\\\\\\\\\\\\\
their mirror images are given in one of the four figure.
65.
(B)
(C)
(D)
(B)
(C)
(D)
(B)
(C)
(D)
\\\\\\\\\\\\\\\\
(A)
66.
\\\\\\\\\\\\\\\\
(A)
67.
(A)
Space For Rough Work
MAT_NTSE STAGE-II MOCK TEST PAPER-3_PAGE # 8
Directions : (68 to 69) If a square of paper is folded from the centre and cuts are made as shown in the problem figure, how will it appear when it is opened ? Select the appropriate figure from the choices.
68.
(A)
(B)
(C)
(D)
(A)
(B)
(C)
(D)
69.
70.
How many quadrilaterals are there in the figure?
(A) 3
(B) 4
(C) 5
(D) 6
Space For Rough Work
MAT_NTSE STAGE-II MOCK TEST PAPER-3_PAGE # 9
71.
How many parallelograms are there in the figure?
(A) 12
(B) 10
(C) 8
(D) 6
Directions : (72 to 73) In each of the following questions a design is given. One small segment is missing from the design. Select the alternative which will complete the design when placed on the missing area.
72.
(A)
?
(B)
(C)
(D)
73.
(A)
(B)
(C)
(D)
? Directions : (74 to 76) There are two sets of figures. One is question figures and the other is answer-figures. There is some relationship between the first two figures of the question-figures. The same relationship exists between the third and fourth figures. Select the option of the correct answer-figure for the place of question mark (?). Question-Figures X X
74.
X X X
• •
X X X X
•• ••
X X X
• •
?
Answer Figures X
X X X
X
(A)
(B)
(C)
(D) Space For Rough Work
MAT_NTSE STAGE-II MOCK TEST PAPER-3_PAGE # 10
75.
Question-Figures
• •
•• ••
• •
?
Answer Figures
(A)
76.
(B)
(C)
(D)
Question-Figures
• •
•• ••
• •
?
Answer Figures
Directions : (77 to 79) There are two sets of figures. One is of Problem Figures while another is set of Answer Figures. There is a sequence according to which the Problem Figures are arranged. One figure of Answer Figures is to be selected which can be placed in sequence of Problem Figures. Find the correct option of the selected Answer Figure. 77.
Problem Figures
Answer Figures
(A)
(B)
(C)
(D)
Space For Rough Work
MAT_NTSE STAGE-II MOCK TEST PAPER-3_PAGE # 11
78.
Problem Figures
Answer Figures
(A) 79.
(B)
(C)
(D)
(C)
(D)
Problem Figures
Answer Figures
(A)
(B)
Directions : ( 80 to 81) In each question four figures are given. One of them does not correlate with the rest. Find out the different figure. 80.
(A)
(B)
(C)
(D)
(A)
(B)
(C)
(D)
81.
Space For Rough Work
MAT_NTSE STAGE-II MOCK TEST PAPER-3_PAGE # 12
Directions : (82 to 85) In each of the following problems, there is one question and three statements I, II and III given below the question. You have to decide whether the data given in the statements is sufficient to answer the question. Read all the statements carefully and find which of the statement is/are sufficient to answer the given question. Choose the correct alternative in each question. 82.
How many sons does X have ? I. Q and U are brothers of T. II. R is the sister of P and U. III. R and T are daughters of X. (A) Only I and II (C) All I, II and III
(B) Only II and III (D) I, II and III together are not sufficient.
83.
Village T is in which direction with respect to village R ? I. T is to the North of W which is to the West of S. II. T is to the North-West of S. III. W is to the North-West of R. (A) Only I and II (B) Only II and III (C) Only I and III (D) None of these
84.
In which year was Sanjay born ? I. Sanjay is six years older than Gopal. II. Gopal’s brother was born in 1982. III. Sanjay’s brother is two years younger than Gopal’s brother who is eight years younger than Gopal. (A) Only I and II (B) Only II and III (C) Only I and III (D) All I, II and III
85.
What is the total monthly salary of Vasu ? I. Vasu’s basic salary is Rs 100 more than Rajan’s salary who also serves in Vasu’s company. II. Other allowances drawn by Rajan besides his salary are Rs 2000 per month which is Rs 50 less than Vasu’s salary. III. Rajan’s basic salary is Rs 1550 per month. (A) Only I and II (B) Only II and III (C) Only I and III (D) All I, II and III
Direction :( 86 to 87) There is some relationship between the two terms on the left side of the sign (::). Select the same relationship between the two terms on the right side. 86.
87 88.
Lion : Cub :: (A) Father : Child
(B) Aunt : Child
(C) Mother : Child
(D) Father : Mother
Person : Society :: (A) Study : Knowledge
(B) Library : Pages
(C) Book : Library
(D) Copy : Study
Three years ago Raju was 8 years younger than Sanju. What will be difference between their ages after 5 years (A) 8 years (B) 7 years (C) 12 years (D) 15 years Space For Rough Work
MAT_NTSE STAGE-II MOCK TEST PAPER-3_PAGE # 13
Directions : (89 to 90) Given questions are based on the arrangement of letters 'a to z' in the form of a pyramid. In each question two sets of letters given on the left of sign (: :) which are related in some way or other. Same relationship is between two sets on the right with one blank term. Select the correct option for the blank term.
b e f j k l q r s t
89. 90.
a c d g h i m n o p u v w x y z
cfk : ktz : : ? : ovz (A) dip
(B) cho
(C) gmu
(D) hnv
efg : gmu : : eks : ? (A) hmn
(B) stu
(C) ekj
(D) ikr
Directions (91 to 94) : Study the following information carefully and answer the given questions: A word and number arrangement machine when given an input line of words and numbers rearranges them following a particular rule in each step. The following is an illustration of input and rearrangement. Input : quick fire 15 28 39 war 19 yellow Step I : yellow quick fire 15 28 39 war 19 Step II : yellow 15 quick fire 28 39 war 19 Step III: yellow 15 war quick fire 28 39 19 Step IV : yellow 15 war 19 quick fire 28 39 Step V : yellow 15 war 19 quick 28 fire 39 And Step V is the last step of the above input. As per the rules followed in the above steps, find out in each of the following questions the appropriate step for the given input. 91.
92.
93.
Step II of an input is : zebra 12 bank carriage 46 31 29 dusk Which of the following steps will be the last but one ? (A) V (B) VI (C) VII
(D) VIII
Input : age die 72 53 35 hold goal 26 How many steps will be required to complete the rearrangement? (A) Four (B) Five (C) Six
(D) Seven
Step II of an input is : win 12 92 for 81 always 36 home Which of the following will be Step V II ? (A) win 12 home 36 92 for 81 always (B) win 12 home 36 for 92 always 81 (C) win 12 home 92 for 81 always 36 (D) None of these Space For Rough Work
MAT_NTSE STAGE-II MOCK TEST PAPER-3_PAGE # 14
94.
95.
Step III of an input is : train 23 star 61 32 fall hard 53 Which of the following is definitely the input? (A) 23 star 61 train 32 fall hard (B) star train 61 23 32 fall hard (C) 61 star 23 train 32 fall hard (D) Cannot be determined
53 53 53
There are 50 students admitted to a nursery class. Some students can speak only English and some can speak only Hindi. Ten students can speak both English and Hindi. If the number of students who can speak English is 21, then how many students can speak Hindi, how many can speak only Hindi and how many can speak only English ? (A) 39, 29 and 11 respectively (B) 37, 27 and 13 respectively (C) 28, 18 and 22 respectively (D) 21, 11 and 29 respectively
Directions (96 to 100) : In each of the following questions, two statements are given followed by three or four conclusions numbered I, II, III and IV. You have to take the given statements to be true even if they seem to be at variance from the commonly known facts and then decide which of the given conclusions logically follows from the given statements disregarding commonly known facts. 96.
Statements Conclusions
: :
(A) None follows (C) Only I and II follow 97.
Statements Conclusions
: :
98.
Statements Conclusions
: :
99.
Statements Conclusions
: :
100.
Statements Conclusions
: :
All politicians are honest. All honest are fair. I. Some honest are politician. II. No honest is politician. III. Some fair are politician. IV. All fair are politician. (B) Only I follows (D) Only I and III follow
Some books are pens. No pen is pencil. I. Some pens are books. II. Some pencils are books. III. Some books are not pencils. IV. All pencils are books. (A) Only I follows (B) Only II and III follow (C) Only I and III follow (D) Only I and II follow Some tables are TVs. Some TVs are radios. I. Some tables are radios. II. Some radios are tables. III. All radios are TVs. IV. All TVs are tables. (A) None follows (B) All follows (C) Only I and III follow (D) Only II and IV follow Some houses are offices. Some offices are schools. I. Some schools are houses. II. Some offices are houses. III. No house is school. IV. Some schools are offices. (A) Only II and III follow (B) Only I and IV follow (C) Only either III or IV, and I follow (D) Only II and IV and either I or III follow All tigers are jungles. No jungles are birds. Some birds are rains. I. No rain is jungle. . II. Some rains are jungles. III. No birds is tiger. IV. All birds are tigers. (A) Only I and II follow (B) Only III follows (C) Only either I or II, and III follow (D) Only II follows Space For Rough Work
MAT_NTSE SAT_NTSE STAGE-II STAGE-II MOCK MOCK TEST TEST PAPER-3_PAGE PAPER-3_PAGE ## 15 15
