UGC NET

This post consists more than 100 questions from Mathematical Reasoning & Aptitude from previous years UGC NET papers. this will help you to understand the pattern of questions comes under this section. Generally 5 out 50 questions comes from Mathematical Reasoning & Aptitude. New syllabus issued by the NTA is given in this post. this post also highlight the questions from each years. try to solve the questions.

Best of luck for your NTA UGC NET  preparation.

Mathematical Reasoning & Aptitude

( 5 Questions out of 50)

 Types of reasoning.
 Number series, Letter series, Codes and Relationships.
 Mathematical Aptitude (Fraction, Time & Distance, Ratio, Proportion and
Percentage, Profit and Loss, Interest and Discounting, Averages etc.).

JULY 2016

1. In certain code, SELECTION is coded as QCJCARGML. The code of AMERICANS will be
   1) YKCPGAYLQ
   (2) BNFSJDBMR
   (3) QLYAGPCKY
   (4) YQKLCYPAG
2. In the series
   3,11,23,39,59,…………….
   The next term will be
   (1) 63             (2) 73           3) 83  (4) 93
3. Two railway tickets from city A to B and three tickets from city A to C cost ? 177. Three tickets from city A to B and two tickets from city A to C cost ? 173. The fare for city B from city A will be ?
   (1) 25         (2) 27          (3) 30         4) 33
4. A person walks 10 m in front and 10 m to the right. Then every time turning to his left, he walks 5, 15 and 15 m respectively. How far is he now from his starting point ?
   (1) 20m       (2) 15 m         (3) 10 m           4) 5 m
5. A is sister of B. F is daughter of G. C is mother of B. D is father of C. E is mother of D. A is related to D as
   1) Granddaughter   (2) Daughter             (3) Daughter-in-law            (4) Sister
6. In the series
   AB, EDC, FGHI, ….?…., OPQRST, the missing term is
   (1) JKLMN           (2) JMKNL         3) NMLKJ  (4) NMKU

DECEMBER 2015

7. The next term in the Series
   2,5,10,17,26, 37, ? is :
   1) 50 (2) 57     (3) 62          (4) 72
8. A group of 210 students appeared in some test. The mean of 1/3 rd of students is found to be 60. The mean of the remaining students is found to be 78. The mean of the whole group will be;
   (1) 80          (2) 76      (3) 74         4) 72
9. Anil after travelling 6 km towards hast from his house realized that he has travelled i , wrong direction. He turned and travelled 12 km towards West, turned right anil travelled 8 km to reach his office. The straight distance of the office from his house is :
   (1) 20 km        (2) 11 km          (3) 12 km         4) 10 km
10. The next term m the series :
    B2E, D5H, F12K, H27N, ? is
    (1) J561       (2) I62Q       (3) Q62J       4) J58Q
11. A party was held in which a grandmother, father, mother, four sons, their wives and one son and two daughters to each of the sons were present. The number of females present in the party is :
    (1) 12    2) 14        (3) 18       (4) 24
12. P and Q are brothers. R and S are sisters. The son of P is brother of S. Q is related to R as :
    (1) Son       (2) Brother        3) Uncle  (4) Father

JUNE 2015

13. The next term in the series is:
    2, 5, 9, 19, 37, ?
    (1) 73     2) 75    (3) 78 (4) 80
14. In certain code MATHURA is coded as JXQEROX. The code of HOTELS will be :
    (1) LEQIBP    2) ELQBIP    (3) LEBIQP (4) ELIPQB
15. One day Prakash left home and walked 10 km towards south, turned right and walked 5 km, turned right and walked 10 km and turned left and walked 10 km. How many km will he have to walk to reach his home straight ?
    (1) 10 (2) 20 3) 15(4) 30
16. A girl introduced a boy as the son of the daughter of the father of her uncle. The boy is
    related to the girl as:
    1) Brother  (2) Uncle (3) Nephew (4) Son
17. In an examination 10,000 students appeared. The result revealed the number of students who have :
    passed in all five subjects                           =  5583
    passed in three subjects only                    =  1400
    passed in two subjects only                       =  1200
    passed in one subject only                         =  735
    failed in English only                                  =  75
    failed in Physics only                                 =  145
    failed in Chemistry only                            =  140
    failed in Mathematics only                       =   200
    failed in Bio-science only                          =   157
    The number of students passed in at least four subjects is :
    1) 6300   (2) 6900 (3) 7300 (4) 7900
18. At present a person is 4 times older than his son and is 3 years older than his wife. After
    3 years the age of the son will be 15 years. The age of the person’s wife after 5 years will
    be:
    (1) 42 (2) 48 (3) 45 4) 50

DECEMBER 2014

19. The next term in the series :
    AB, ED, IH, NM,  is
      A)    TS    (B)    ST
    (C)    TU    (D)   SU
20. If STREAMERS is coded as UVTGALDQR, then KNOWLEDGE will be coded as

(A)    MQPYLCDFD     B)    MPQYLDCFD 

(C)    PMYQLDFCD    (D)    YMQPLDDFC

21. A is brother of B. B is the brother of C. C is the husband of D. E is the father of A. D is related to E as
    (A)    Daughter         B)    Daughter-in-law
    (C)    Sister-in-law    (D)    Sister
22. Two numbers are in the ratio 3 : 5. If 9 is subtracted from the numbers, the ratio become 12 : 23. The numbers are
    (A)    30,50    (B)    36,60
    C)    33,55    (D)    42,70
23. The mean of the ages of father and his son is 27 years. After 18 years, father will be twice as old as his son. Their present ages are
    A)    42.12 (B)    40,14
    (C)    30,24    (D)    36.18
24. Digital Empowerment means
    (i)     Universal digit literacy
    (ii)    Universal access to all digital resources.
    (iii)   Collaborative digital platform for participative governance.
    (iv)   Probability of all entitlements for individuals through cloud.

Choose the correct answer from the codes given below :
(A)   (i) and (ii) only           (B)    (ii) and (iii) only
(C)   (i), (ii) and (iii) only    (D)    (i), (ii). (iii) and (iv)

25. The next term in the series :
    2,7,28.63, 126.    is
    A)    215   (B)    245
    (C)    276    (D)    296

JUNE 2014

26. Complete the series BB, FE, II, ML, PP, ………..by choosing one of the following option given:
    A) TS    (B) ST
    (C) RS (D) SR
27. A man started walking from his house towards south. After walking 6 km, he turned to his left and walked 5 km. Then he walked further 3 km after turning left. He then turned to his left and continued his walk for 9 km. How far is he away from his house ?
    (A) 3km (B) 4 km
    C) 5 km    (D) 6 km
28. In a post-office, stamps of three different denominations of rs7, rs 8, rs 10 are available. The exact amount for which one cannot buy stamps is
    A) 19   (B) 20
    (C) 23 (D) 29
29. In certain coding method, the word QUESTION is encoded as DOMESTIC. In this coding, what is the code word for the word RESPONSE ?
    (A) OMESUCEM
    (B) OMESICSM
    C)OMESICEM
    (D) OMESISCM
30. If the series 4, 5, 8, 13, 14, 17, 22,…. is continued in the same pattern, which one of the following is not a term of this series ?
    (A) 31 (B) 32
    C) 33  (D) 35

DECEMBER 2013

31. In certain code TEACHER is written as VGCEJGT. The code of CHILDREN will be
    (A) EKNJFTGP B) EJKNFTGP(C) KNJFGTP (D) None of these
32. A person has to buy both apples and mangoes. The cost of one apple is Rs 7 whereas that of a mango is Rs 5/-. If the person has Rs 38, the number of apples he can buy is
    (A) 1 (B) 2
    (C) 3 D) 4
33. A man pointing to a lady said, “The son of her only brother is the brother of my wife”. The lady is related to the man as
    (A) Mother’s sister
    (B) Grand mother
    (C) Mother-in-law
    D) Sister of Father-in-law
34. In this series 6, 4, 1, 2, 2, 8, 7, 4, 2, 1, 5, 3, 8, 6, 2, 2, 7,1, 4, 1, 3, 5, 8, 6, how many pairs of successive numbers have a difference of 2 each ?
    (A) 4 (B) 5
    C) 6   (D) 8
35. The mean marks obtained by a class of 40 students is 65. The mean marks of half of the students is found to be 45. The mean marks of the remaining students is
    A) 85(B) 60
    (C) 70 (D) 65
36. Anil is twice as old as Sunita. Three years ago, he was three times as old as Sunita. The present age of Anil is
    (A) 6 years
    (B) 8 years
    C) 12 years
    (D) 16 years

JUNE 2013

37. In a certain code GALIB is represented by HBMJC.     TIGER will be represented by
    A) UJHFS    (B) UHJSF
    (C) JHUSF     (D) HUJSF
38. In a certain cricket tournament 45 matches were played. Each team played once against each of the other teams. The, number of teams participated in the tournament is
    (A) 8      B) 10
    (C) 12     (D) 14
39. The missing number in the series 40, 120, 60, 180, 90, ?, 135 is
    (A) 110    B) 270
    (C) 105    (D) 210
40. The odd numbers from 1 to 45 which are exactly divisible by 3 are arranged in an ascending order. The number at 6^thposition is
    (A) 18   (B) 24
    C) 33 (D) 36
41. The mean of four numbers a, b, c, d is 100. If c = 70, then the mean of the remaining numbers is
    (A) 30           (B) 85/2
    (C) 170/3     D) 110
42. If the radius of a circle is increased by 50%, the perimeter of the circle will increase by
    (A) 20% (B) 30%
    (C) 40% D) 50%

DECEMBER 2012

43. The missing number in the series : 0,6,24,60,120,?, 336, is
    (A) 240             (B) 220
    (C) 280            D) 210
    Explanation:
    1*2*3 = 6, 2*3*4 = 24, 3*4*5=60,4*5*6=120,5*6*7=210,6*7*8=336
44. A group of 7 members having a majority of boys is to be formed out of 6 boys and 4 girls. The number of ways the group can be formed is
    (A) 80              B) 100
    (C) 90               (D) 110
    Explanation:
    6boys/1 girl: 6C6*4C1 = 1*4 = 4
    5boys/2 girls: 6C5*4C2 = 6*6 = 36
    4boys/3 girls: 6C4*4C3 = 15*4 = 60
    so total = 4+36+60 = 100
45. The number of observations in a group is 40. The average of the first 10 members is 4.5 and the average of the remaining 30 members is 3.5. The average of the whole group is
    (A)  4                  (B) 15/2
    C) 15/4  (D) 6
46. If MOHAN is represented by the code KMFYL, then COUNT will be represented by
    A) AMSLR (B) MSLAR      (C) MASRL      (D) SAMLR
47. The sum of the ages of two persons A and B is 50. 5 years ago, the ratio of their ages was 5/3. The present age of A and B are
    A) 30,20  (B) 35, 15
    (C) 38,12          (D) 40,10
48. Let a means minus (-), b means multiplied by (x), C means divided by (/) and D means plus (+). The value of 90D9a29C10b2is
    (A) 8                  (B) 10
    (C) 12               (D) 14

JUNE 2012

49. Which is the number that comes next in the following sequence ?
    2, 6, 12, 20, 30, 42, 56, _____
    (A) 60 (B) 64  C) 72(D) 70
50. Find the next letter for the series YVSP ………
    (A) N B) M(C) O (D) L
51. Given that in a code language,
    ‘645’ means ‘day is warm’; ‘42’ means ‘warm spring’ and ‘634’ means ‘spring is sunny’;
    which digit represents ‘sunny’ ?
    A) 3   (B) 2 (C) 4 (D) 5

DECEMBER 2011

52. What is the number that comes next in the sequence ?
    2, 5, 9, 19, 37, ___
    (A) 76 (B) 74 C) 75(D) 50
53. Find the next letter for the series MPSV..…
    (A) X B) Y(C) Z (D) A
54. If ‘367’ means ‘I am happy’; ‘748’ means ‘you are sad’ and ‘469’ means ‘happy and sad’ in a given code, then which of the following represents ‘and’ in that code ?
    (A) 3 (B) 6 C) 9   (D) 4

JUNE 2011

55. Determine the relationship between the pair of words NUMERATOR : DENOMINATOR  and then select the pair of words from the following which have a similar relationship :
    (A) fraction : decimal (B) divisor : quotient C) top : bottom (D) dividend : divisor
56. Find the wrong number in the sequence
    125, 127, 130, 135, 142, 153, 165
    (A) 130 (B) 142 (C) 153 D) 165

57 . If HOBBY is coded as IOBY and LOBBY is coded as MOBY;    then BOBBY is coded as
(A) BOBY  B) COBY (C) DOBY (D) OOBY

58 . The letters in the first set have certain relationship. On the basis of this relationship, make the right choice for the second set : K/T : 11/20 :: J/R : ?
(A) 10/8  B) 10/18 (C) 11/19 (D) 10/19

59. If A = 5, B = 6, C = 7, D = 8 and so on, what do the following numbers stand for?
    17, 19, 20, 9, 8
    (A) Plane B) Moped(C) Motor (D) Tonga
60. The price of oil is increased by 25%. If the expenditure is not allowed to increase, the ratio between the reduction in consumption and the original consumption is
    (A) 1 : 3 (B) 1 : 4 C) 1 : 5(D) 1 : 6
61. How many 8’s are there in the following sequence which are preceded by 5 but not immediately followed by 3?
    5 8 3 7 5 8 6 3 8 5 4 5 8 4 7 6 5 5 8 3 5 8 7 5 8 2 8 5
    A) 4(B) 5 (C) 7 (D) 3
62. If a rectangle were called a circle, a circle a point, a point a triangle and a triangle a square, the shape of a wheel is
    (A) Rectangle (B) Circle C) Point(D) Triangle

DECEMBER 2010

63. Determine the relationship between the pair of words ALWAYS :NEVER and then select from the
    following pair of words which have a similar relationship :
    A) often : rarely(B) frequently : occasionally (C) constantly : frequently (D) intermittently : casually
64. Find the wrong number in the sequence : 52, 51, 48, 43, 34, 27, 16
    (A) 27 B) 34(C) 43 (D) 48
65. In a certain code, PAN is written as 31 and PAR as 35, then PAT is written in the same code as
    (A) 30 B) 37(C) 39 (D) 41
66. The letters in the first set have certain relationship. On the basis of this relationship, make the right choice for the second set : AF : IK : : LQ : ?
    (A) MO (B) NP (C) OR D) TV
67. If 5472 = 9, 6342 = 6, 7584 = 6, what is 9236 ?
    A) 2(B) 3 (C) 4 (D) 5
68. In an examination, 35% of the total students failed in Hindi, 45% failed in English and 20% in both. The percentage of those who passed in both subjects is
    (A) 10 (B) 20 (C) 30 D) 40

JUNE 2010

69. When an error of 1% is made in the length of a square, the percentage error in the area of a square will be
    (A) 0 (B) 1/2 C) 1(D) 2
70. On January 12, 1980, it was a Saturday. The day of the week on January 12, 1979 was
    (A) Thursday   B) Friday (C) Saturday  (D) Sunday
71. If water is called food, food is called tree, tree is called earth, earth is called world, which of the following grows a fruit ?
    (A) Water  (B) Tree (C) World   D) Earth
72. E is the son of A, D is the son of B, E is married to C, C is the daughter of B. How is D related to E ?
    (A) Brother  (B) Uncle (C) Father-in-law  D) Brother-in-law
73. If INSURANCE is coded as ECNARUSNI, how HINDRANCE will be coded ?
    (A) CADNIHWCE
    (B) HANODEINR
    (C) AENIRHDCN
    D) ECNARDNIH
74. Find the next number in the following series : 2, 5, 10, 17, 26, 37, 50, ?
    (A) 63  B) 65(C) 67 (D) 69

DECEMBER 2009

75. January 1, 1995 was a Sunday. What day of the week lies on January 1, 1996 ?
    (A)   Sunday           B)   Monday
    (C)   Wednesday    (D)   Saturday
76. When an error of 1% is made in the length and breadth of a rectangle, the percentage error (%) in the area of a rectangle will be
    (A)   0    (B)   1
    C)   2  (D)   4
77. The next number in the series 2, 5, 9, 19, 37, ? will be
    (A)   74   B)   75
    (C)   76    (D)   None of the above
78. There are 10 true-false questions in an examination. Then these questions can be answered in
    (A)    20 ways    (B)   100 ways
    (C)    240 ways   D)   1024 ways
79. What will be the next term in the following ?
    DCXW, FEVU, HGTS, ?
    (A)   AKPO    (B)   ABYZ
    C)   JIRQ (D)   LMRS
80. Three individuals X, Y, Z hired a car on a sharing basis and paid Rs. 1,040. They used it for 7, 8, 11 hours, respectively. What are the charges paid by Y ?
    (A)   Rs. 290      B)  Rs. 320
    (C)   Rs. 360       (B)  Rs. 440

JUNE 2009

81. Insert the missing number in the following :
    3, 8, 18, 23, 33, ?, 48
    (A) 37 (B) 40 C) 38(D) 45
82. In a certain code, CLOCK is written as KCOLC. How would STEPS be written in that code?
    (A) SPEST (B) SPSET C) SPETS(D) SEPTS
83. The letters in the first set have a certain relationship. On the basis of this relationship mark the right choice for the second set : BDFH : OMKI : : GHIK : ?
    (A) FHJL(B) RPNL(C) LNPR (D) LJHF
    Note: The answer for the question should be TQNL
84. What was the day of the week on 1st January 2001 ?
    (A) Friday (B) Tuesday (C) Sunday (D) Wednesday
    Note: Above answers are wrong it should be Monday
85. Find out the wrong number in the sequence. 52, 51, 48, 43, 34, 27, 16
    (A) 27   (B) 34   (C) 43 (D) 48

DECEMBER 2008

86. Insert the missing number in the following :
    2/3 ,    4/7, ? , 11/21,  16/31
    (A)     10/8    (B)     6/10    (C)     5/10   D)      7/13
87. In a certain code, GAMESMAN is written as AGMEMSAN.   How would DISCLOSE be written in that code?
    A)    IDSCOLSE  (B)     IDCSOLES    (C)    IDSCOLES    (D)    IDSCLOSE
88. The letters in the first set have a certain relationship.  On the basis of this relationship mark the right choice for the second set :
    AST : BRU : : NQV : ?
    (A)    ORW    (B)    MPU    (C)    MRW   D)    OPW
89. On what dates of April 1994 did SUNDAY fall ?
    (A)    2,9,16,23,30     B)     3,10,17,24
    (C)    4,11,18,25    (D)    1,8,15,22,29
90. Find out the wrong number in the sequence :
    125, 127, 130, 135, 142, 153, 165
    (A)    130    (B)     142    (C)    153    D)    165

JUNE 2008

91. If January 1st, 2007 is Monday, what was the day on 1st January 1995 ?
    A)    Sunday  (B)     Monday
    (C)    Friday    (D)    Saturday
92. Insert the missing number in the following series :
    4       16     8       64     ?        256
    A)    16 (B)     24    (C)    32    (D)    20
93. If an article is sold for Rs. 178 at a loss of 11%; what would be its selling price in order to earn a profit of 11%?
    (A)    Rs. 222.50    (B)     Rs. 267   C)    Rs. 222    (D)    Rs. 220

DECEMBER 2007

94. Find out the number which should come at the place of question mark which will complete the
    following series:   5, 4, 9, 17, 35, ? = 139
    (A)    149    (B)     79
    (C)    49      D)    69

Questions 95 to 97 are based on the following diagram in which there are three interlocking circles I, S and P, where circle I stands for Indians, circle S for Scientists and circle P for Politicians. Different regions in the figure are lettered from a to f

95. The region which represents Non-Indian Scientists who are Politicians :
    A)    f   (B)     d
    (C)    a    (D)    c
96. The region which represents Indians who are neither Scientists nor Politicians :
    A)    g   (B)     c
    (C)    f    (D)    a
97. The region which represents Politicians who are Indians as well as Scientists :
    (A)    b    (B)     c
    C)    a  (D)    d
98. Which number is missing in the following series ?
    2, 5, 10, 17, 26, 37, 50, ?
    (A)    63   B)     65
    (C)    67    (D)    69

JUNE 2007

99. Which is the number that comes next in the sequence ?
    9,   8,   8,   8,   7,   8,   6,
    (A)    5    (B)     6
    C)    8   (D)    4
100. If in a certain language TRIVANDRUM is coded as 2 5 9 5 3 5 4 7 5 8, how would MADRAS be
     coded ?
     (A)    834536    (B) 834538
     (C)    834530    (D) 834539
     Hint: Ans (A) or (C) is correct. May be question or ans key is wrong
     Explanation: only last digit differs in all answers, since 8 = M & 9 = I as per the question, either 0 or 6 = S
101. The question to be answered by factorial analysis of the quantitative data does not explain one of the
     following:
     (A)    Is ‘X’ related to ‘Y’?
     (B)    How is ‘X’ related to ‘Y’?
     (C)    How does ‘X’ affect the dependent variable ‘Y’ at different levels of another independent variable ‘K’
     or ‘M’?
     D)    How is ‘X’ by ‘K’ related to ‘M’?
102. January 12, 1980 was Saturday, what day was January 12, 1979 :
     (A)    Saturday   B)     Friday
     (C)    Sunday      (D)    Thursday
103. How many Mondays are there in a particular month of a particular year, if the month ends on
     Wednesday?
     (A)    5     B)     4
     (C)    3    (D)    None of the above

DECEMBER 2006

104. In the sequence of numbers 8, 24, 12, X, 18, 54 the missing number X is :
     (A) 26 (B) 24 C) 36 (D) 32
105. If A stands for 5, B for 6, C for 7, D for 8 and so on, then the following numbers stand for
     17, 19, 20, 9 and 8 :
     (A) PLANE B) MOPED(C) MOTOR (D) TONGA
106. The letters in the first set have certain relationship. On the basis of this relationship what is the right choice for the second set ?
     AST : BRU : : NQV : ?
     (A) ORW (B) MPU (C) MRW D) OPW
107. In a certain code, PAN is written as 31 and PAR as 35. In this code PAT is written as:
     (A) 30 B) 37(C) 38 (D) 39
108. The sides of a triangle are in the ratio of 1/2 :1/3 :1/4 If its perimeter is 52 cm, the length of the smallest side is :
     (A) 9 cm (B) 10 cm (C) 11 cm D) 12 cm

JUNE 2006

109. Insert the missing number:
     16/32, 15 /33, 17/31, 14/34 ?
     (A) 19/35           (B) 19/30           (C) 18/35         D) 18/30
110. Monday falls on 20^thMarch 1995. What was the day on 3^rdNovember 1994?
     A) Thursday           (B) Sunday         (C)  Tuesday           (D) Saturday
111. The average of four consecutive even numbers is 27. The largest of these numbers is:
     (A)36         (B) 32        C) 30 (D) 28
112. In a certain code, FHQK means GIRL. How will WOMEN be written in the same code?
     A) VNLDM        (B) FHQKN           (C) XPNFO            (D) VLNDM
113. At what time between 4 and 5 O’clock will the hands of a watch point in opposite directions?
     (A) 45min.past4                        (B) 40 min. past 4
     (C) 50 4/11 min. past 4           D) 54 6/11 min. past 4