Self Studies

Research Aptitude Test - 8

Result Self Studies

Research Aptitude Test - 8
  • Score

    -

    out of -
  • Rank

    -

    out of -
TIME Taken - -
Self Studies

SHARING IS CARING

If our Website helped you a little, then kindly spread our voice using Social Networks. Spread our word to your readers, friends, teachers, students & all those close ones who deserve to know what you know now.

Self Studies Self Studies
Weekly Quiz Competition
  • Question 1
    2 / -0.5

    How many different numbers of six digits can be formed with the numbers 3, 1, 7, 0, 9, 5?

    Solution

    The numbers that can be formed, by taking all six digits together.

    = 6 P6 = 6!

    But we have to neglect the numbers which begin with zero. Now the number in which zero comes in the 1st Place= 5!

    Hence, the required number = 6! - 5!

    = 720 - 120 = 600.

  • Question 2
    2 / -0.5

    How many three-digit numbers are there, with no digits repeated?

    Solution

    The required number of three-digit numbers = The permutations of the 10 objects 0, 1, 2, 3, 4, 5, 6, 7, 8, 9 take 3 at a time, with the condition that 0 is not in the hundreds place.

    = P(10, 3)-P(9, 2)

    = 10 x 9 x 8 - 9 x 8

    = 720 - 72 = 648

  • Question 3
    2 / -0.5

    In how many different ways, the letters of the word ALGEBRA can be arranged in a row if.

    (i) The two As are together?

    (ii) The two As are not together?

    Solution

    ALGEBRA has seven letters where 2-A, 1-L, 1-G, 1- E, 1-Band 1-R.

    (i) Since two A’s are always together, we take both the A's as one letter.

    If p is the number of arrangements, then p = 6! = 6 x 5 x 4 x 3 x 2 x 1 = 720.

    (ii) Total number of permutations

    = 2520

    In these permutations, in some permutations, two A's are together while in the rest they are not together Hence, the number of permutations in which two A's are not together in q - p = 2520 - 720 = 1800.

  • Question 4
    2 / -0.5

    A husband and wife appear in an interview for two vacancies in the same post. The probability of husband’s selection is 1/7 and that of wife's is 1/5.

    What is the probability that none of them will be selected?

    Solution

    P(none of them will be selected)

  • Question 5
    2 / -0.5

    A man speaks the truth in 80% of the cases and another in 90% of the cases. While stating the same fact, what is the probability that they contradict?

    Solution

    Let the two men be A and B.

    A: A speaks truth

    B: B speaks truth

    ∴ Required probability

    = (8+18)/100 = 26/100 = 13/50.

  • Question 6
    2 / -0.5

    A coin is tossed three times. Find the chance that head and tail show alternately.

    Solution

    Sample space S = |HHH: HHT, HTH. HTT, THT, TTH, THH, TTT}

    Number of exhaustive cases = 8

    Favourable cases are HTH, THT

    The number of favorable = 2.

    ∴ Required probability = 2/8 = ¼.

  • Question 7
    2 / -0.5

    Akash said to Mohit, “The boy in the blue shirt is younger of the two brothers of the daughter of my father ’s wife ". How is the boy in the blue shirt related to Akash?

    Solution

    Hence brother.

  • Question 8
    2 / -0.5

    Pointing to a photograph, Vipul said, "She is the daughter of my grandfather 's only son(and only child also)". How is Vipul related to the girl in the photograph?

    Solution

    Hence Vipui is the brother of the girl.

  • Question 9
    2 / -0.5

    A man said to a lady, "your mother's husband's sister is my aunt. How is the lady related to the man?

  • Question 10
    2 / -0.5

    If
    A + B means A is the mother of B;
    A - B means A is the brother B;
    A % B means A is the father of B and
    A x B means A is the sister of B,
    Which of the following shows that P is the maternal uncle of Q?

    Solution

    P - M →P is the brother of M

    M + N →M is the mother of N

    N x Q →N is the sister of Q

    Therefore, P is the maternal uncle of Q.

Self Studies
User
Question Analysis
  • Correct -

  • Wrong -

  • Skipped -

My Perfomance
  • Score

    -

    out of -
  • Rank

    -

    out of -
Re-Attempt Weekly Quiz Competition
Self Studies Get latest Exam Updates
& Study Material Alerts!
No, Thanks
Self Studies
Click on Allow to receive notifications
Allow Notification
Self Studies
Self Studies Self Studies
To enable notifications follow this 2 steps:
  • First Click on Secure Icon Self Studies
  • Second click on the toggle icon
Allow Notification
Get latest Exam Updates & FREE Study Material Alerts!
Self Studies ×
Open Now