Practice important Mathematical Reasoning and Aptitude MCQ for UGC NET Paper 1 with answers. Boost your preparation with key concepts and questions.
Mathematical Reasoning and Aptitude is an important unit in UGC NET Paper 1 that evaluates a candidate’s logical thinking, analytical ability, and problem-solving skills.
UGC Net Paper 1 Mathematical Reasoning and Aptitude Syllabus
UGC NET include Unit 5 Mathematical Reasoning and Aptitude. The Mathematical Reasoning and Aptitude unit in UGC NET Paper 1 focuses on assessing candidates’ ability to apply logic and basic mathematical concepts.
| 5. Mathematical Reasoning and Aptitude | |
|---|---|
| Chapter | Subjects |
| 1 | ❖ Types of reasoning |
| 2 |
❖ Number series ❖ Letter series ❖ Codes ❖ Relationships |
| 3 |
❖ Mathematical Aptitude
|
Basic Concept of Mathematical Reasoning and Aptitude
1. Types of Reasoning
Reasoning refers to the process of thinking logically to arrive at a conclusion. It mainly includes deductive reasoning (from general to specific) and inductive reasoning (from specific to general).
2. Number Series
Number series involves identifying patterns or sequences in numbers. Questions are based on finding the missing term or predicting the next number using logical rules.
3. Letter Series
Letter series focuses on patterns among alphabets. It requires understanding the sequence and identifying relationships between letters.
4. Coding-Decoding
Coding-decoding tests the ability to understand patterns in coded messages. Candidates must identify the logic used to convert one form into another.
5. Relationships
Relationship-based questions involve identifying connections between individuals or objects. These may include blood relations or logical associations.
6. Mathematical Aptitude
Mathematical aptitude involves solving basic mathematical problems using concepts like:
- Fraction
- Time and Distance
- Ratio and Proportion
- Percentage
- Profit and Loss
- Interest and Discounting
- Averages
It tests numerical ability, speed, and accuracy in problem-solving.
UGC NET Mathematical Reasoning and Aptitude Paper 1
This section includes various types of questions such as number series, coding-decoding, relationships, and basic mathematical reasoning concepts.
Q. If in a certain coding language, A = 26, G = 20, GO = 32 and SOME = 56, Then the value of COME will be equal to —–
a. 60
b. 72
c. 48
d. 36
Show Answer
✅ Ans. ⟶ b (72 )
Q. A man deposited Rs. 1.0 lakh in his bank account and earned a profit of Rs. 25.000 @5% simple interest per annum. Find out the time period for which the money deposited by the man remained in the bank.
a. 3 years
b. 5 years
c. 4 years
d. 7 years
Show Answer
✅ Ans. ⟶ b (5 years )
Q. Determine the next term ( ? ) in the following letter series :
BYD, EVJ, HSP, KPV, ? ——,
a. NMB
b. NMX
c. MNB
d. MBN
Show Answer
✅ Ans. ⟶ a ( NMB )
Q. Find the wrong term in the given series. 125, 126, 124, 127, 123, 129..
a. 126
b. 124
c. 123
d. 129
Show Answer
✅ Ans.⟶ d ( 129 )
Q. What is the actual profit when the profit on selling price is 25% ?
a. 33.33%
b. 30.33%
c. 25%
d. 20%
Show Answer
✅ Ans. ⟶ a ( 33.33% )
Q. The average of prime numbers between 1 and 20 is :
a. 9.525
b. 8.625
c. 9.625
d. 8.525
Show Answer
✅ Ans. ⟶ c ( 9.625 )
Q. If in a certain coding language, PAINT is coded as 93546 and EXCEL is coded as 78271, then how will ACCEPT be coded in that language ?
a. 322769
b. 322976
c. 232796
d. 322796
Show Answer
✅ Ans. ⟶ d ( 322796 )
Q. The simple interest on a certain principal amount for 4 years at 10% per annum is half of the compound interest on Rs. 1000 for 2 years at 20% per annum. Find the principal amount..
a. Rs. 500
b. Rs. 450
c. Rs. 650
d. Rs. 550
Show Answer
✅ Ans. ⟶ d ( 550 )
Q. In a certain code language:
‘617’ means “Sweet and hot”
‘735’ means “Coffee is sweet”
‘263’ means “Tea is hot”,
what is the code for “coffee is hot” in that language ?
a. 675
b. 537
c. 536
d. 573
Show Answer
✅ Ans. ⟶ c ( 536 )
Q. In a certain code language, “INDORE” is coded as, “KPFQTG”. How “CHENNAI” shall be coded in that language?
a. EIGOPBK
b. DIFOOBJ
c. EJGPPCK
d. KCPPGJE
Show Answer
✅ Ans.⟶ c ( EJGPPCK )
Q. Identify the numbers that occur in the series 0, 7, 26, 63, 124, ——
a. 344
b. 511
c. 215
d. 730
choose the correct answer from the options given below :
a. a and b only.
b. b and c only.
c. c and d only.
d. a and d only.
Show Answer
✅ Ans. ⟶ b ( b and c only )
Q. A 200m long train is travelling at a constant speed of 20 m/s. How long will it take to complete cross a 1000m long railway platform ?
a. 1 minute
b. 1.5 minute
c. 2 minutes
d. 2.5 minutes
Show Answer
✅ Ans. ⟶ a ( 1 minute )
Q. The total value of a collection of coins of denomination Rs. 20, Rs. 10, Rs. 5, Rs. 2 and Rs. 1 is Rs. 570. If the number of coins of each denomination is same, then the number of 1 Rs coin is?
a. 10
b. 12
c. 15
d. 18
Show Answer
✅ Ans. ⟶ c ( 15 )
Q. 6 pumps working 12 hours a day empty a tank in 15 days. How many hours a day should 8 pumps work to empty a tank in 9 days ?
a. 13 hours
b. 14 hours
c. 15 hours
d. 16 hours
Show Answer
✅ Ans. ⟶ c ( 15 hours )
Q. The average age of a group of workers is 42 yrs. If 8 new workers of average age of 36 yrs, join the group, the average age of the group becomes 40 yrs. Find the number of workers initially present in the group :
a. 17
b. 16
c. 18
d. 20
Show Answer
✅ Ans. ⟶ b ( 16 )
Q. Find the next term in the series —- 2Z5, 7Y7, 14X9, 23W11, 34V13, ( ? )..
a. 27U24
b. 45U15
c. 47U15
d. 47U14
Show Answer
✅ Ans.⟶ c ( 47U15 )
Q. 7 pumps, working 10 hours a day, can empty a tank in 20 days. How many hours a day must 5 pumps operate to empty the tank in 14 days ?
a. 20 hours
b. 18 hours
c. 16 hours
d. 14 hours
Show Answer
✅ Ans. ⟶ a ( 20 hours )
Q. In the given number series, determine the next term. -7, -5, -1, 7, 23, (?).
a. 42
b. 55
c. 87
d. 95
Show Answer
✅ Ans. ⟶ b ( 55 )
Q. In a certain coding language:
a) ‘AMAN’ is coded as 29.
b) ‘RAMAN’ is coded as 47.
How ‘SHAM’ will be coded in that language ?
a. 43
b. 28
c. 41
d. 37
Show Answer
✅ Ans. ⟶ c ( 41 )
Q. In a certain code language ‘GERMANY’ is code as 9, 7, 20, 15, 3, 16, 27. How ‘FRANCE’ will be coded in this language ?
a. 7, 19, 2, 15, 4, 6.
b. 8, 20, 30, 16, 5, 7.
c. 8, 20, 3, 16, 5, 7.
d. 6, 18, 1, 14, 3, 5.
Show Answer
✅ Ans. ⟶ c ( 8, 20, 3, 16, 5, 7 )
Q. Two numbers are, respectively, 28% & 25% less than a third number. What percent is the first number of second number ?
a. 104.6%
b. 90%
c. 92%
d. 96%
Show Answer
✅ Ans. ⟶ d ( 96% )
Q. In a certain code language ‘Black’ is coded as ‘1131122’. How ‘White’ will be coded in that language?
a. 5209832
b. 2389025
c. 5209823
d. 5208923
Show Answer
✅ Ans.⟶ c ( 5209823 )
Q. The fourth proportional to 0.12, 0.21, 8 is :
a. 8.9
b. 56
c. 14
d. 17
Show Answer
✅ Ans. ⟶ c ( 14 )
Q. If 15% of ( A + B ) = 25% of ( A – B ), then what percent of B is equal to A ?
a. 10%
b. 60%
c. 200%
d. 400%
Show Answer
✅ Ans. ⟶ d ( 400% )
Q. Consider the series given below. Find the number which can be inserted at the place of questions mark ( ? ).
5, 14, 39, 88, 209, ? , 667.
a. 378
b. 297
c. 299
d. 375
Show Answer
✅ Ans. ⟶ a ( 378 )
Q. A single discount equivalent to the successive discount of 10%, 20% is…
a. 55 %
b. 45 %
c. 46 %
d. 60 %
Show Answer
✅ Ans. ⟶ c ( 46 % )
Q. In a certain code language: ‘WHERE’ is coded as : 5, 18, 5, 8, 23. ‘DELHI’ is coded as : 9, 8, 12, 5, 4. How ‘HORSE’ is coded in that language ?
a. 5, 18, 5, 8, 20.
b. 5, 19, 18, 15, 8.
c. 5, 18, 19, 8, 15.
d. 5, 19, 18, 8, 15.
Show Answer
✅ Ans. ⟶ b ( 5, 19, 18, 15, 8 )
Q. If WORK = 7935, ROCK = 3587 AND WART = 1945, Which digit stands for T ?
a. Either 9 or 1.
b. Either 8 or 1.
c. Either 4 or 5.
d. Either 1 or 4.
Show Answer
✅ Ans.⟶ d ( Either 1 or 4 )
Q. The smallest number by which should be multiplied so as to get rational number is ?
a. 7√7
b. √343
c. √7.
d. 7
Show Answer
✅ Ans. ⟶ 7√
Q. In a group of 40 people, 25 people speak Hindi and 20 people speak both Hindi and Urdu. All the people speak atleast one of the two languages. How many people speak Urdu ?
a. 65
b. 45
c. 35
d. 20
Show Answer
✅ Ans. ⟶ c ( 35 )
Q. A train leaves Agra at 5 a.m. and reaches Delhi at 9 a.m. Another train leaves Delhi at 7 a.m. and reaches Agra at 10:30 a.m. At what time do the two trains cross each other?
a. 6 : 36 A.M
b. 6 : 56 A.M
c. 7 A.M
d. 7 : 56 A.M
Show Answer
✅ Ans. ⟶d. (7 : 56 A.M)
Q. The ratio of two numbers a and b is 3 :7. After adding 9 to each number, the ratio becomes 9:17. The numbers a and b are :
a. (8, 42)
b. (9, 21)
c. (15, 35)
d. (18, 42)
Show Answer
✅ Ans. ⟶ d (18, 42)
Q. Which of the following is not a negation of the statement “A natural number is greater than zero” ?
a. A natural number is not greater than zero
b. It is false that a natural number is greater than zero
c. It is false that a natural number is not greater than zero
d. None of these
Show Answer
✅ Ans. ⟶c ( It is false that a natural number is not greater than zero )
Q. 400 students took a mock test: 60% of the boys and 80% of the girls cleared the cut off in the test. If the total percentage of students clearing the cut off in the test is 65%, then how many girls appeared in the test?
a. 100
b. 120
c. 150
d. 300
Show Answer
✅ Ans.⟶ a ( 100 )
Q. Which type of reasoning moves from general to specific?
A. Inductive Reasoning
B. Deductive Reasoning
C. Analytical Reasoning
D. Logical Reasoning
Show Answer
Answer: B. Deductive Reasoning
Q. Find the missing number: 2, 6, 12, 20, ?
A. 28
B. 30
C. 32
D. 36
Show Answer
Answer: B. 30
Q. Find the next term: A, C, F, J, ?
A. L
B. M
C. N
D. O
Show Answer
Answer: D. O
Q. If CAT is coded as DBU, how is DOG coded?
A. EPH
B. EPG
C. FPH
D. EOH
Show Answer
Answer: A. EPH
Q. Pointing to a man, Rina said, “He is the son of my mother’s brother.” How is the man related to Rina?
A. Brother
B. Cousin
C. Uncle
D. Nephew
Show Answer
Answer: B. Cousin
Q. What is 20% of 250?
A. 40
B. 45
C. 50
D. 60
Show Answer
Answer: C. 50
Q. A train travels 60 km in 1 hour. What is its speed?
A. 50 km/h
B. 60 km/h
C. 70 km/h
D. 80 km/h
Show Answer
Answer: B. 60 km/h
Q. A product is bought for 100 and sold for 120. What is the profit percentage?
A. 10%
B. 15%
C. 20%
D. 25%
Show Answer
Answer: C. 20%
Conclusion
Mathematical Reasoning and Aptitude is a scoring section in UGC NET Paper 1 if practiced regularly. A clear understanding of concepts along with consistent MCQ practice can help candidates achieve better results in the examination.
References
- Aggarwal, R. S. (2017). A modern approach to verbal and non-verbal reasoning. S. Chand Publishing.
- Mishra, A. K. (2021). UGC NET/JRF/SET teaching & research aptitude paper 1. Pearson Education.
- Gupta, S. C. (2019). Fundamentals of statistics. Himalaya Publishing House.
- Mathematical Reasoning and Aptitude MCQ with Answers for UGC NET & SET Paper 1
- Internet sources
Q – How many questions are asked from Mathematical Reasoning and Aptitude in UGC NET Paper 1?
Ans. – Generally, around 4–5 questions are asked from this unit, and each question carries 2 marks, making it an important scoring area.
Q – Is Mathematical Reasoning and Aptitude difficult in UGC NET?
Ans. – It is not difficult if practiced regularly. With proper understanding and practice, candidates can easily score well in this section.
Q – What topics are included in Mathematical Reasoning and Aptitude?
Ans. – This unit includes topics like number series, coding-decoding, relationships, direction sense, and logical reasoning problems.
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