Mathematical Reasoning
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Question 1 
Six friends A,B,C,D,E and F are sitting in a closed circle facing the center. E is to the left of D. C is between A and B. F is between E and A. Who is to the right of C?Â Â Â Â Â Â Â Â Â Â Â Â Â Â [20 june 2019, 1 Shift]
A  A 
B  B 
C  D 
D  E 
Question 2 
Consider the following number series 2, 10, 30, 68, X. What is the term X?Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â [24 September 2020, 1 Shift]
A  130 
B  92 
C  88 
D  76 
Question 3 
Consider the following letter series. What is the next of acf, egj, ikn, oqt,?Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â [24 September 2020, 1 Shift]
A  suy 
B  uvy 
C  rwz 
D  uwz 
Question 4 
The sixth number in a sequence of numbers is 32 and each number after the first number in the sequence is 4 less than to the number immediately proceeding it. What is the third number in the sequence?Â Â Â Â Â Â Â Â Â Â Â Â Â Â [21 June 2019, 2 Shift]
A  36 
B  40 
C  44 
D  48 
Question 4 Explanation:
Sixth Number = 32
Fifth Number= 32 + 4 = 36
Fourth Number= 36+4=40
Third Number = 40 +4 =44
Question 5 
Ajay is a friend of Rakesh. Pointing to an old man Ajay asked Rakesh who is he? Rakesh said "His son is my son's uncle". The old man is related to Rakesh as.Â Â Â Â Â Â Â Â Â Â Â November 2017
A  Grand father 
B  Father  in  law 
C  Father 
D  Uncle 
Question 6 
Two number are in the ratio 2:5. if 16 is added to both the numbers, their ration becomes 1:2. The numbers are:Â Â Â Â Â Â Â Â Â Â Â Â July 2018
A  16,40 
B  20,50 
C  28,70 
D  32,80 
Question 7 
The sum of all even natural numbers between 1 and 81 is:Â Â Â Â Â Â Â Â Â Â Â Â Â Â [20 June 2019, 2 Shift]
A  3280 
B  3321 
C  1646 
D  1640 
Question 8 
A man covers a distance of 22km in 4 hours by initially walking and then jogging at a speed of 4km/hour and 10km/hour, respectively. The distance covered by him during walking isÂ Â Â Â Â Â Â Â Â Â Â Â Â Â [24 September 2020, 2 Shift]
A  10km 
B  12km 
C  15km 
D  18km 
Question 9 
A rational number has its denominator greater than its numerator by 6. If the numerator is increase by 4 and the denominator is decreased by 8, the number becomes 5/7. What is the original rational number?Â Â Â Â Â Â Â Â Â Â [24 September 2020, 2 Shift]
A  11/17 
B  5/11 
C  7/13 
D  13/19 
Question 10 
Two water pipes can fill a tank in 10 minutes and 15 minutes respectively, if each of them is used separately. If both the pipes are used to fill tank simultaneous. How long will it take to fill the tank?Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â [24 September 2020, 2 Shift]
A  6 minutes 
B  8 minutes 
C  7.5 minutes 
D  9 minutes 
Question 11 
Among the five friends, Vineet is taller than Monika, but not as tall as Ram. Jacob is taller than Dalip but shorter than Monika. Who is the tallest in their group? :Â Â Â Â [24 Jun 2019, 2 Shift]
A  Ram 
B  Monika 
C  Vineet 
D  Jacob 
Question 11 Explanation:
Arrangement of five friends in ascending order of their height. Dalip
Question 12 
Choose the correct alternative. Cup is to coffee as bowl is to _____. :Â Â Â Â Â Â [21 Jun 2019, 2 Shift]
A  Dish 
B  Soup 
C  Spoon 
D  Food 
Question 12 Explanation:
The word association/analogy here is of the vessel (cup, bowl) and the consumable liquid (coffee, soup) it generally contains.
Question 13 
Apporav is son of Madhu.Â Vinod is brother of Madhu's husband. How is Apporav related to Vinod? :Â Â Â Â Â [2 Dec 2019, 2 Shift]
A  Uncle 
B  Brother 
C  Nephew 
D  Cousin 
Question 13 Explanation:
Madhu's husband's brother is Madhu's brother in law. Hence Apporav is Nephew of Madhu's brother in law.
Question 14 
Which one is the wrong number in the given series? :Â Â Â Â Â Â [3 Dec 2019, 1 Shift]
3, 13, 43, 53, 63, 83
A  13 
B  53 
C  63 
D  83 
Question 14 Explanation:
Given series is series of prime number. Here, except 63, all other numbers are prime.
Question 15 
Choose the appropriate alternative given in the codes to replace the question mark.:Â Â Â Â Â Â [6 Dec 2019, 2 Shift]
ExaminerExaminee, PleaderClient, Preceptor?
A  Customer 
B  Pathfinder 
C  Perceiver 
D  Disciple 
Question 16 
Identify the term 'X' in the following series. [6^{th} December, I^{st} Shift]
4,12,42,168,X
A  588 
B  672 
C  756 
D  772 
Question 17 
Pointing towards a man, a woman said. "His wife's father is the husband of my mother's only daughter". How is the woman related to the man? [5^{th} December 2019, I^{st} Shift]Â
A  Daughter 
B  Sister in law 
C  Sister 
D  Mother in law 
Question 18 
In a certain coding language, 'AEIOU' is written as "TNHDZ". Using the same coding language, "BFJPV" will be written as [4^{th} December 2019, I^{st} Shift]Â
A  UOIEA 
B  AEIOU 
C  CGKQW 
D  WQKGC 
Question 19 
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 beÂ Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â June 2015
A  42 
B  48 
C  45 
D  50 
Question 20 
Average of two numbers a and b is 22 and 60% of a = 50 % of b. What is the product of a and b?Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â [3^{rd} December 2019, II^{nd} Shift]Â
A  160 
B  384 
C  480 
D  484 
Question 21 
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 areÂ Â Â Â Â Â Â Â Â Â Â Â [2^{nd} December 2019, II^{nd} Shift]Â
A  6,14 
B  9,21 
C  15,35 
D  18,42 
Question 22 
40% employees in a factory are workers. All the remaining employees are executives. The annual income of each worker is Rs.39000. The annual income of each executive is Rs.42,000. What is the average annual income of all employees in the factory together?Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â [25^{th} June 2019, II^{nd} Shift]Â
A  Rs.40,500 
B  Rs.40,800 
C  Rs.41,000 
D  Rs.41,500 
Question 23 
Sanjay sold an article at a loss of 25%. If the selling price had been increased by Rs.175, there would have been a gain of 10%. What was the cost price of the article?Â Â Â Â Â [26^{th} June 2019, I^{st} Shift]Â
A  Rs.350 
B  Rs.400 
C  Rs. 500 
D  Rs.750 
Question 24 
In a class of 35 students, Rajan is placed seventh from the bottom where as Karan is placed ninth from the top. Divya is placed exactly in between the two. What is the differences in the positions of Rajan and Divya?Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â [26^{th} June 2019, II^{nd} Shift]Â
A  9 
B  10 
C  11 
D  13 
Question 25 
In the series 1,6,15,28,45, ..... the next term will beÂ Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â November 2017Â
A  66 
B  76 
C  56 
D  84 
Question 26 
A sum of Rs.2000 yields Rs.180 which is simple interest in 9 months. The annual rate of interest isÂ Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â [2^{nd} December 2019, 1^{st} Shift]Â
A  9 % 
B  10% 
C  11% 
D  12% 
Question 27 
The numbers are in the ratio 3:7. If 8 is added to both the numbers the ratio becomes 5:9. The numbers areÂ Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â [2^{nd} December 2019, 1^{st} Shift]Â
A  12, 28 
B  6, 14 
C  15, 35 
D  24, 56 
Question 28 
The number X in the following series: 3,8,18,38,X... isÂ Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â [2^{nd} December 2019, 1^{st} Shift]Â
A  78 
B  80 
C  76 
D  74 
Question 29 
If SOLUTION is R5KTSH5M then CROME will be written asÂ Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â [2^{nd} December 2019, 1^{st} Shift]Â
A  BQ5HL 
B  B5QLH 
C  BQ5LD 
D  BS5LH 
Question 30 
In a certain code "UNIVERSAL" is written as "LASREVINU". In the same coding language "COMMERCIALS" will be written asÂ Â Â Â Â Â Â [13/11/2020, Afternoon Shift]
A  SLIACREMOMC 
B  SLIACREMOCM 
C  SLAICREMMOC 
D  SLAIRCEMOMC 
Question 31 
What is the actual (equivalent) discount of three successive discounts of 8%, 10% and 12% by sale of an article?Â Â Â Â Â Â Â Â Â [13/11/2020, Afternoon Shift]
A  28.316% 
B  27.136% 
C  28.136% 
D  27.631% 
Question 32 
'A' is the only sister of a man 'B' and 'C' is the maternal grandson of B's father. How 'A' is related to 'C'?Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â [13/11/2020, Afternoon Shift]
A  Sister 
B  Niece 
C  Grandmother 
D  Mother 
Question 33 
A certain principal is invested at the annual rate of interest of 5% for 2 years. The difference between the compound interest and simple interest is Rs.1. What is the principal amount?Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â [13/11/2020, Afternoon Shift]
A  Rs.150 
B  Rs.250 
C  Rs.300 
D  Rs.400 
Question 34 
The Least Common Multiple (L.C.M) of two numbers is 144 and their Greatest Common Divisor(G.C.D) is 2. What are the numbers given their sum is 34.Â Â Â Â Â Â Â Â Â Â Â Â [13/11/2020, Afternoon Shift]
A  20,14 
B  22, 12 
C  24, 10 
D  18, 16 
Question 35 
If 20% of (a+b) = 50% of (ab) and 40% of (ab) = 70% of (ab). What fraction of a is b?Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â [13/11/2020, Morning Shift]
A  3/17 
B  3/17 
C  4/17 
D  17/3 
Question 36 
The missing two numbers in the following series are 1,4,3,16,5,36,?,?,9,100.Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â [13/11/2020, Morning Shift]
A  7, 50 
B  7, 64 
C  8, 72 
D  8, 81 
Question 37 
In a certain coding language "CHEMISTRY" is written as "DGFLJRUQZ". In the same code "GEOMETRY' will be written asÂ Â Â Â Â Â Â Â Â Â Â [13/11/2020, Morning Shift]
A  HDPLFSSZ 
B  HDLPFSXS 
C  HLDPFSSX 
D  HDPLFSSX 
Question 38 
Average of three numbers is 22. Sum of the two numbers is 24 and these two numbers are in the ratio 7:5 . Find the three numbersÂ Â Â Â Â Â Â Â Â Â [13/11/2020, Morning Shift]
A  6,30,42 
B  6,25,35 
C  14,10,42 
D  4,20,42 
Question 39 
The next term in the following series is ABB, BCF, CDL,?Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â [13/11/2020, Morning Shift]
A  DEU 
B  DET 
C  DES 
D  DER 
Question 40 
MOTION is to RUN as EMOTION is to:Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â [12/11/2020, Afternoon Shift]
A  FURIOUS 
B  FEELING 
C  HEART 
D  ENJOY 
Question 40 Explanation:
RUN is a type of MOTION
FEELING is a type of EMOTION
FEELING is a type of EMOTION
Question 41 
If UGCNET = 35, then CSIRNET =Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â [12/11/2020, Afternoon Shift]
A  42 
B  43 
C  44 
D  45 
Question 42 
A sum of money with compound interest becomes Rs.400 in 2 years and Rs.500 in 3 years. Find the sum.Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â [12/11/2020, Afternoon Shift]
A  Rs.290 
B  Rs.256 
C  Rs.302 
D  Rs.308 
Question 43 
Twenty times a positive integer is less than its square by 96. What is the integer?Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â [12/11/2020, Afternoon Shift]
A  24 
B  20 
C  30 
D  14 
Question 44 
The missing letters in the given letter series are:Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â [12/11/2020, Afternoon Shift]
BCE, CDG, DEL, ____ , FGM
BCE, CDG, DEL, ____ , FGM
A  EFK 
B  EGJ 
C  EFH 
D  EGH 
Question 45 
Find the missing letters in the series: BCA, YZX, EFD, _____ , HIG.Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â [12/11/2020, Morning Shift]
A  UVW 
B  VWU 
C  WVU 
D  VUW 
Question 46 
Vinod's mother  in law is the mother of Amit's mother  in  law. How is Vinod related to Amit?Â Â Â Â Â Â Â Â Â Â Â Â Â [12/11/2020, Morning Shift]
A  Vinod is brother of Amit 
B  Vinod is father of Amit 
C  Vinod is uncle of Amit 
D  Vinod is fatherinlaw of Amit 
Question 47 
In a certain code FISH is written as EHRG. The code for JUNGLE will beÂ Â Â Â Â Â Â Â Â Â Â Â [12/11/2020, Morning Shift]
A  ITNFKD 
B  KVOHMF 
C  ITMFKD 
D  TIMFKD 
Question 48 
63% of employees in a company are female. If the number of male employees is 111. then the total number of employees isÂ Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â [12/11/2020, Morning Shift]
A  270 
B  290 
C  300 
D  310 
Question 49 
Three pipes fill a tank in 4 hours. If two of them take 8 and 12 hours each to fill the tank, how many hours will take third pipe take to fill the tank?Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â [11/11/2020, Afternoon Shift]
A  6 Hours 
B  15 Hours 
C  18 Hours 
D  24 Hours 
Question 50 
The ratio of ages of two persons A and B is 3:4 and that of ages of B and C is 4:5. If the average of all three is 40 years, What is B's age?Â Â Â Â Â Â Â Â Â Â [11/11/2020, Afternoon Shift]
A  20 Years 
B  30 Years 
C  40 Years 
D  50 Years 
Question 51 
In a 100 meters race, A beat B by 10 meter or 2 second. What is the speed of A?Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â [11/11/2020, Afternoon Shift]
A  5 km/h 
B  10 km/h 
C  15 km/h 
D  20 km/h 
Question 52 
In a park A,B,C,D,E and F are sitting. C is the brother of D's husband and son of A. F is the daughter of D and sister of E.Â Â Â Â Â Â Â Â Â Â Â Â Â [11/11/2020, Afternoon Shift]
(A) E is the grandson of A
(B) F is the daughter of C
(C) B is the father of F
(D) There are one son and one daughter in the group
(E) C is the uncle of E
Choose the correct answer from the options given below:
(A) E is the grandson of A
(B) F is the daughter of C
(C) B is the father of F
(D) There are one son and one daughter in the group
(E) C is the uncle of E
Choose the correct answer from the options given below:
A  (A), (B) and (C) only 
B  (A), (C) and (E) only 
C  (B), (D) and (E) only 
D  (B), (C) and (D) only 
Question 53 
Given below are two statements:Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â NTA NET JUNE 2021Â
Statement I: A vehicle's speed of 30.6 km/ hr is the same as 5.8 m/s.
Statement II: The speed of a bus is 72 km / hr. The distance covered by the bus in 10 seconds is 100 meter.
In the light of the above statements, choose the correct answer from the options given below:
A  Both Statement I and Statement II are false. 
B  Both Statement I and Statement II are true. 
C  Statement I is true but Statement II is false. 
D  Statement I is false but Statement II is true. 
Question 54 
The ages of Swati and Manisha are in the ratio of 5:6 and the sum of their ages is 55 years. What will be the ratio of their ages after 5 years?Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â NTA NET JUNE 2021Â
A  5:6 
B  6:5 
C  6:7 
D  7:6 
Question 55 
Find the next two terms in the series. A, D, H, M, __, ___.Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â NTA NET JUNE 2021Â
A  Q, X 
B  R,Y 
C  S, Z 
D  T, A 
Question 56 
The average of ten numbers is 11. If each number is multiplied by 7, then the average of the new set of numbers isÂ Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â NTA NET JUNE 2021Â
A  110 
B  70 
C  76 
D  77 
Question 57 
Which of the following fractions is the largest?Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â NTA NET JUNE 2021Â
A  11/16 
B  31/40 
C  5/8 
D  67/80 
Question 58 
Ravi's Salary is increased by 20%. On the increased salary, the tax rate is 10% higher. The percentage increase in tax liability isÂ Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â NTA NET JUNE 2021  Commerce  Shift 2  25^{th} NovÂ
A  20% 
B  22% 
C  23% 
D  24% 
Question 59 
Answer the following statements?Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â NTA NET JUNE 2021  Commerce  Shift 2  25^{th} NovÂ
A. At 5 % rate of simple interest. a certain sum will be doubled in 15 years.
B. A sum becomes double in 10 years. The annual rate of simple interest is 12%.
C. Rs.1000 will become Rs.1331 in 3 years at compound interest rate of 10% per annum.
Which of the above statements is / are correct?
A. At 5 % rate of simple interest. a certain sum will be doubled in 15 years.
B. A sum becomes double in 10 years. The annual rate of simple interest is 12%.
C. Rs.1000 will become Rs.1331 in 3 years at compound interest rate of 10% per annum.
Which of the above statements is / are correct?
A  A and B only 
B  A and C only 
C  B and C only 
D  C only 
Question 60 
Given below are two statementsÂ Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â NTA NET JUNE 2021  Commerce  Shift 2  25^{th} NovÂ
Statement I: A 60m long train passes a 90m platform in 10 seconds. The speed of the train is 45 km / hour.
Statement II: If the ratio of the speeds of A and B is a:b. Then the ratio of the time taken by them to cover the same distance is a:b.
In the light of the above statements, choose the correct answer from the options given below.
Statement I: A 60m long train passes a 90m platform in 10 seconds. The speed of the train is 45 km / hour.
Statement II: If the ratio of the speeds of A and B is a:b. Then the ratio of the time taken by them to cover the same distance is a:b.
In the light of the above statements, choose the correct answer from the options given below.
A  Both Statement I and Statement II are false.

B  Both Statement I and Statement II are true. 
C  Statement I is true but Statement II is false. 
D  Statement I is false but Statement II is true. 
Question 61 
A man weighs 75% of his own weight plus 39 lbs. How much does he weigh?Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â NTA NET JUNE 2021  Commerce  Shift 2  25^{th} NovÂ
A  156 lbs 
B  160 lbs 
C  165 lbs 
D  166 lbs 
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