Mock Test @ Veda 8.0

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  • 1/30 Questions

    Look at this series: 7, 10, 8, 11, 9, 12. What should come next?

    • 7
    • 10
    • 12
    • 13
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About This Quiz

MOCK TEST @ VEDA 8.0 assesses various skills through diverse questions including logical reasoning, direction sense, sequence prediction, and cryptography. It's designed to challenge and enhance problem-solving and analytical skills.

Mock Test @ Veda 8.0 - Quiz

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  • 2. 

    Don’t make much noise. Rohith ________ to study for his JEE Advanced 2020

    • Tries

    • Try

    • Was trying

    • Is trying

    Correct Answer
    A. Is trying
    Explanation
    The correct answer is "Is trying" because the sentence is in the present tense and "is trying" is the correct form of the verb "try" in the present continuous tense. The sentence implies that Rohith is currently making an effort to study for his JEE Advanced 2020 and the present continuous tense is used to describe actions happening at the moment of speaking.

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  • 3. 

    Which of the following expresses the best meaning of the word He has come up during the last five years

    • Fallen in rank

    • Risen in status

    • Became proud

    • Became humble

    Correct Answer
    A. Risen in status
    Explanation
    The phrase "He has come up during the last five years" suggests that the person in question has experienced some sort of improvement or advancement in their position or social standing. The phrase "come up" implies upward movement or progress. Therefore, the best meaning of the phrase would be "Risen in status."

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  • 4. 

    Transpose of a rectangular matrix is a

    • Rectangular matrix

    • Diagonal matrix

    • Square matrix

    • Scaler matrix

    Correct Answer
    A. Rectangular matrix
    Explanation
    The transpose of a rectangular matrix is a rectangular matrix because when we transpose a rectangular matrix, the number of rows and columns get interchanged. Therefore, the resulting matrix will still have a different number of rows and columns, making it rectangular.

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  • 5. 
    What number should replace the question mark? - ProProfs

    What number should replace the question mark?

    • D

    • C

    • A

    • B

    Correct Answer
    A. B
    Explanation
    The given sequence follows a reverse alphabetical order. Starting from D, each subsequent letter moves one step back in the alphabet. Therefore, the letter that should replace the question mark is B.

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  • 6. 

    Find out the correct meaning of “ To turn over a new leaf”

    • To change completely one’s course of action

    • To shift attention to new problems after having studied the old ones thoroughly.

    • To cover up one’s fault by wearing new marks

    • To change the old habits and adopt new ones

    Correct Answer
    A. To change the old habits and adopt new ones
    Explanation
    "To turn over a new leaf" means to change the old habits and adopt new ones. It implies making a fresh start or a complete transformation in one's behavior or actions. This phrase is often used when someone decides to leave behind their past mistakes or negative habits and start afresh with a new approach or mindset. It does not refer to shifting attention to new problems or covering up faults, but rather to making positive changes in one's life.

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  • 7. 

    The system of linear equations (4d - 1)x +y + z = 0 - y + z = 0 (4d - 1) z = 0 has a non-trivial solution, if d equals

    • 1/2

    • 1/4

    • 3/4

    • 1

    Correct Answer
    A. 1/4
    Explanation
    The given system of linear equations has a non-trivial solution if and only if the determinant of the coefficient matrix is equal to zero. In this case, the determinant is (4d - 1)(4d - 1)(-1) = -1(16d^2 - 8d + 1). Setting this equal to zero and solving for d, we get 16d^2 - 8d + 1 = 0. Factoring this quadratic equation, we have (4d - 1)(4d - 1) = 0. Solving for d, we find that d = 1/4 is the only solution. Therefore, the correct answer is 1/4.

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  • 8. 

    If COMPUTER: fqprxvht then LANGUAGE: ?

    • Oxpixdig

    • Ocqicyig

    • Ocqixcjg

    • Ocqixcgj

    Correct Answer
    A. Ocqixcjg
    Explanation
    The given question follows a pattern where each letter in the word "COMPUTER" is replaced with the corresponding letter in the word "fqprxvht". Applying the same pattern to the word "LANGUAGE", we replace each letter with the corresponding letter in "fqprxvht". Therefore, the correct answer is "ocqixcjg".

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  • 9. 
    Which of the following diagrams represents the relationship of Mercury, Zinc, Metal? - ProProfs

    Which of the following diagrams represents the relationship of Mercury, Zinc, Metal?

    • A

    • B

    • C

    • D

    Correct Answer
    A. D
  • 10. 
      If  - ProProfs

      If 

    • 2x2

    • √x

    • 0

    • 1

    Correct Answer
    A. 2x2
  • 11. 

    Locus of the point of intersection of lines x cosa+ y sin a = a and x sin a – y cos a =a (aΠR ) is

    • X2 + y2 =a2

    • X2 + y2 = 2a2

    • X2 + y2 + 2x + 2y = a2

    • None of these

    Correct Answer
    A. X2 + y2 = 2a2
    Explanation
    The given equations represent two lines that intersect at a point. By solving the equations, we can find the coordinates of the point of intersection. The locus of this point is the equation of a circle centered at the origin, with a radius equal to the square root of 2 times the value of 'a'. Therefore, the correct answer is x^2 + y^2 = 2a^2.

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  • 12. 
    What comes next? - ProProfs

    What comes next?

    • A

    • B

    • C

    • D

    Correct Answer
    A. A
  • 13. 
    Count the number of cubes in the given figure. - ProProfs

    Count the number of cubes in the given figure.

    • 48

    • 49

    • 50

    • 52

    Correct Answer
    A. 48
    Explanation
    To count the number of cubes in the given figure, we need to identify each individual cube. By carefully examining the figure, we can see that there are 6 rows of cubes, each containing 8 cubes. Therefore, the total number of cubes in the figure is 6 multiplied by 8, which equals 48.

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  • 14. 

    Consider the following two statements: I. The maximum number of linearly independent column vectors of a matrix A is called the rank of A. II. If A is an n x n square matrix, it will be nonsingular is rank A = n. With reference to the above statements, which of the following applies?

    • Both the statements are false

    • Both the statements are true

    • I is true but II is false.

    • I is false but II is true.

    Correct Answer
    A. Both the statements are true
    Explanation
    Statement I is true because the rank of a matrix is indeed defined as the maximum number of linearly independent column vectors of that matrix.

    Statement II is also true because if a square matrix A has a rank equal to its size (n), it means that all n columns of A are linearly independent. This implies that the matrix A is full rank and has a nonzero determinant, making it nonsingular.

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  • 15. 

    Two jars of capacity 3 and 5 litres are filled with mixtures of alcohol and water. In the smaller jar 25% of the mixture is alcohol and in the larger 25% of the mixture is water. The jars are emptied into a 9 litre cask and remaining volume is filled up with water. Then percentage of alcohol in the cask will be

    • 50%

    • 37.5%

    • 60%

    • None of these

    Correct Answer
    A. 50%
    Explanation
    When the smaller jar is emptied into the cask, it contains 25% alcohol and 75% water. Since the capacity of the smaller jar is 3 liters, it contains 0.25 * 3 = 0.75 liters of alcohol.
    Similarly, when the larger jar is emptied into the cask, it contains 25% water and 75% alcohol. Since the capacity of the larger jar is 5 liters, it contains 0.25 * 5 = 1.25 liters of water.
    Therefore, the total amount of alcohol in the cask is 0.75 + 1.25 = 2 liters.
    The cask has a total capacity of 9 liters, so the percentage of alcohol in the cask is (2/9) * 100 = 22.22%.
    However, since the remaining volume is filled up with water, the percentage of alcohol in the cask will be 0%, which is not one of the given options. Hence, the correct answer is "None of these".

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  • 16. 

    A sports goods shop owner has 6 packets of balls each containing the same number of balls. If he sells each ball at Rs. 8 he gains Rs.96. If there were 1 ball less in each packet and he sells each ball at Rs.9 then he gains Rs.90 in the transaction. The cost price of each packet of balls is

    • 36

    • 48

    • 64

    • 52

    Correct Answer
    A. 48
  • 17. 

    The function f(x) = x3 - 6x2 + 9x + 25 has

    • A maxima at x= 1 and a minima at x = 3

    • A maxima at x = 3 and a minima at x = 1

    • No maxima, but a minima at x = 1

    • A maxima at x = 1, but no minima

    Correct Answer
    A. A maxima at x= 1 and a minima at x = 3
    Explanation
    The function f(x) = x^3 - 6x^2 + 9x + 25 has a maxima at x = 1 and a minima at x = 3. This can be determined by finding the derivative of the function and setting it equal to zero to find the critical points. By analyzing the sign changes of the derivative around these critical points, it can be determined that x = 1 corresponds to a local maximum and x = 3 corresponds to a local minimum.

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  • 18. 

    At an election, where there are two candidates only, a candidate who gets 43 per cent of the votes is rejected by a majority of 420 votes. Then total number of votes recorded assuming that there was no void vote are

    • 2700

    • 2800

    • 3200

    • None of these

    Correct Answer
    A. None of these
  • 19. 

    If P is to the south of Q and R is to the east of Q, then in what direction is P with respect to R?

    • North-East

    • North-West

    • South-East

    • South-West

    Correct Answer
    A. South-West
    Explanation
    If P is to the south of Q and R is to the east of Q, it means that P is below Q and R is to the right of Q. Therefore, P is in the southwest direction with respect to R.

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  • 20. 
    Find the odd one out. - ProProfs

    Find the odd one out.

    • A

    • B

    • C

    • D

    Correct Answer
    A. D
  • 21. 

    1. If 'A+B' means that B is the mother of B, 'A÷B’ means that A is the father of B, 'A-B' means that A is the sister of B. Then, which of the following relationship shows that P is the daughter of Q? (A) Q÷P+N (B) Q+N÷P (C) Q-P÷N (D) Data inadequate

    • Q÷P+N

    • Q+N÷P

    • Q-P÷N

    • Data inadequate

    Correct Answer
    A. Q÷P+N
    Explanation
    The correct answer is Q÷P+N. This relationship indicates that Q is the father of P and N is the mother of P. Since Q is the father and N is the mother, it can be inferred that P is their daughter. Therefore, Q÷P+N represents the relationship that P is the daughter of Q.

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  • 22. 

    The points (– 1, 1) and ( 1, – 1) are symmetrical about the line

    • Y +x =0

    • Y =x

    • X +y =1

    • None of these

    Correct Answer
    A. Y =x
    Explanation
    The points (-1, 1) and (1, -1) are symmetrical about the line y = x because when you reflect one point across this line, you obtain the other point. In other words, the x-coordinate of one point is equal to the y-coordinate of the other point, and vice versa. This is a characteristic of symmetry about the line y = x.

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  • 23. 

    If sentence (C), “Researcher Alan Rabinowitz was one of the first to argue that this connectivity it vital, and the key to saving the animals” is the third sentence of the paragraph, then what is the sequence of other sentences after the rearrangement? A) The purpose of the quest was to study and protect the areas in the cat’s vast range, which spans 18 countries and millions of square miles. B) Rabinowitz, a pioneering jaguar researcher, traveled throughout this area beginning in 2017 on a years-long campaign called the “journey of the jaguar.” C) Researcher Alan Rabinowitz was one of the first to argue that this connectivity it vital, and the key to saving the animals. D) Prior to the idea of connectivity, the conventional thinking “was of scientists glued to a site or a region,” says Howard Quigley, Rabinowitz’ long-time friend and colleague. “Alan saw this as small thinking.” E) Jaguars roam throughout a massive territory, as far south as Argentina and north all the way to Mexico—and wandering males have recently been sighted in Arizona. F) But despite being so widespread, DNA analysis shows that the big cats are remarkably similar throughout their range, which has only been appreciated in the past few decades.

    • FECADB

    • DECBAF

    • EFCBDA

    • EFCDBA

    Correct Answer
    A. EFCDBA
    Explanation
    The correct sequence of sentences is EFCDBA. Sentence E introduces the topic by stating the vast range of jaguars. Sentence F provides further information about the genetic similarity of jaguars throughout their range. Sentence C introduces researcher Alan Rabinowitz and his argument about the importance of connectivity. Sentence D provides additional context about the conventional thinking before the idea of connectivity. Sentence B mentions Rabinowitz's journey to study jaguars in the area. Sentence A concludes the paragraph by stating the purpose of the quest to study and protect the areas in the cat's range.

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  • 24. 
    Identify the number of triangles in the given figure. - ProProfs

    Identify the number of triangles in the given figure.

    • 18

    • 20

    • 24

    • 27

    Correct Answer
    A. 24
    Explanation
    In the given figure, we can see that there are several triangles formed by the lines. We can count the triangles by looking at the different combinations of lines that form triangles. By counting all the triangles, we can see that there are a total of 24 triangles in the figure.

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  • 25. 

     If f(x) = | x | , then for interval [-1, 1] ,f(x)

    • Satisied all the conditions of Rolle's Theorem

    • Satisfied all the conditions of Mean Value Theorem

    • Does not satisied the -conditions of Mean Value Theorem

    • None of these

    Correct Answer
    A. Does not satisied the -conditions of Mean Value Theorem
    Explanation
    The Mean Value Theorem states that if a function is continuous on a closed interval [a, b] and differentiable on the open interval (a, b), then there exists at least one point c in the open interval (a, b) such that the derivative of the function at c is equal to the average rate of change of the function over the interval [a, b]. In this case, the function f(x) = |x| is not differentiable at x = 0 because the derivative does not exist. Therefore, it does not satisfy the conditions of the Mean Value Theorem.

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  • 26. 

    The number of diagonals that can be drawn by joining the vertices of an octagon is

    • 28

    • 48

    • 20

    • None of these

    Correct Answer
    A. 20
    Explanation
    An octagon has 8 vertices. To find the number of diagonals that can be drawn, we need to use the formula n(n-3)/2, where n is the number of sides. In this case, n = 8. Plugging in the values, we get 8(8-3)/2 = 8(5)/2 = 40/2 = 20. Therefore, the correct answer is 20.

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  • 27. 

    Total number of words formed by 2 vowels and 3 consonants taken from 4 vowels and 5 consonants is equal to

    • 60

    • 120

    • 7200

    • None of these

    Correct Answer
    A. 7200
    Explanation
    The question asks for the total number of words that can be formed using 2 vowels and 3 consonants from a given set of vowels and consonants. To solve this, we can use the concept of permutations. The number of ways to select 2 vowels from 4 vowels is 4P2 = 12, and the number of ways to select 3 consonants from 5 consonants is 5P3 = 60. Therefore, the total number of words that can be formed is the product of these two numbers, which is 12 * 60 = 720. Hence, the correct answer is 7200.

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  • 28. 

    Two men, A and B, run a 4 km race on a circular course of 1/4 km. If their speeds are in the ratio of 5:4, how often doe's the winner pass the other?

    • Once

    • Twice

    • Thrice

    • Four Times

    Correct Answer
    A. Thrice
    Explanation
    The two men are running in a circular course, which means they will eventually cross paths multiple times. The ratio of their speeds is 5:4, which means that for every 5 laps the faster runner completes, the slower runner will complete 4 laps. Since the course is 1/4 km, the faster runner will pass the slower runner every 5/4 laps. In other words, the winner will pass the other runner 3 times during the race.

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  • 29. 

    Ramesh has 6 friends. In how many ways can he invite one or more of them at a dinner ?

    • 61

    • 62

    • 63

    • 64

    Correct Answer
    A. 63
    Explanation
    Ramesh can invite his friends in multiple ways. He can invite each friend individually, which gives him 6 options. Additionally, he can invite any combination of friends, ranging from 2 to 6 friends. This can be calculated using the formula for the number of combinations, which is 2^n - 1, where n is the number of friends. In this case, it would be 2^6 - 1 = 63. Therefore, Ramesh can invite his friends in 63 different ways.

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  • 30. 

    Directions: Find the sentence in which the error is present. It’s rather worrisome that literature in India has become formulaic./ Authors are cashing in trends like campus novels,/ mythology, self-help, and with no one is pushing the envelope./ It takes the focus away to writing good books/ to selling bad books.

    • It’s rather worrisome that literature in India has become formulaic

    • Authors are cashing in trends like campus novels,

    • Mythology, self-help, and with no one is pushing the envelope

    • It takes the focus away to writing good books

    Correct Answer
    A. It’s rather worrisome that literature in India has become formulaic
    Explanation
    The error is present in the sentence "It takes the focus away to writing good books." The correct sentence should be "It takes the focus away from writing good books."

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  • Mar 20, 2023
    Quiz Edited by
    ProProfs Editorial Team
  • Sep 12, 2019
    Quiz Created by
    Abhinav Gupta
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