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SSC CPO 2024 Reasoning Test - 6
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SSC CPO 2024 Reasoning Test - 6
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  • Question 1/10
    1 / -0.25

    If M means ÷, R means +, T means - and K means ×, then

    20 R 16 K 5 M 10 T 8 = ?

    Solutions

    The logic followed is:

    Decoding the information,

    Given the equation: 20 R 16 K 5 M 10 T 8 = ?

    After replacing the signs from left to right and using the BODMAS rule,

    = 20 + 16 × 5 ÷ 10 - 8

    = 20 + 16 × 1/2 - 8

    = 20 + 8 - 8

    = 28 - 8

    = 20

    Hence, the correct answer is "20".

  • Question 2/10
    1 / -0.25

    If '+' means '÷', '-' means 'x', '÷' means '+' and'×' means '-', what will be the value of the following expression?

    (6 - 5 ÷ 40) + 35 × 2

    Solutions

    Decoding the information,

    Given:

    (6 - 5 ÷ 40) + 35 × 2

    After replacing the signs from left to right and using the BODMAS rule,

    = (6 × 5 + 40) ÷ 35 - 2

    = (30 + 40) ÷ 35 - 2

    = 70 ÷ 35 - 2

    = 2 - 2

    = 0

    Hence, “0” is the correct answer.

  • Question 3/10
    1 / -0.25

    If ‘+’ means ‘÷’, ‘−’ means ‘+’, ‘÷’ means ‘×’, and ‘×’ means ‘−’, then what will be the value of the following expression?

    30 × 6 – 5 ÷ 4 + 2

    Solutions

    According to the given information:

    The given equation is: 30 × 6 – 5 ÷ 4 + 2

    The equation becomes: 30 - 6 + 5 × 4 ÷ 2

    Using BODMAS rule,

    Solving the given equation,

    = 30 - 6 + 5 × 4 ÷ 2

    = 30 - 6 + 5 × 2

    30 - 6 + 10

    40 - 6

    = 34

    Hence, the correct answer is "34".

  • Question 4/10
    1 / -0.25

    Which two numbers and two signs should be interchanged in the following equation to make it correct?

    4 + 2 ÷ 7 + 8 × 9 = 25

    Solutions

    Given equation : 4 + 2 ÷ 7 + 8 × 9 = 25

    Now, by interchanging the signs and numbers:

    • Option - (1) : 4 and 9, + and ×

    4 + 2 ÷ 7 + 8 × 9 = 25 ⇒ 9 × 2 ÷ 7 × 8 + 4 = 25

    9 × 0.28 × 8 + 4 = 25

    20.16 + 4 = 25

    24.16 ≠ 25 (LHS ≠ RHS)

    • Option - (2) : 4 and 7, ÷ and ×

    4 + 2 ÷ 7 + 8 × 9 = 25 ⇒ 7 + 2 × 4 + 8 ÷ 9 = 25

    7 + × 4 + 0.88 = 25

    7 + 8 + 0.88 = 25

    15.88 ≠ 25 (LHS ≠ RHS)

    • Option - (3) :  4 and 9, ÷ and ×

    4 + 2 ÷ 7 + 8 × 9 = 25 ⇒ 9 + 2 × 7 + 8 ÷ 4 = 25

    9 + × 7 + 2 = 25

    9 + 14 + 2 = 25

    25 = 25 (LHS = RHS)

    • Option - (4) : 4 and 7, + and ×

    4 + 2 ÷ 7 + 8 × 9 = 25 ⇒ 7 × 2 ÷ 4 × 8 + 9 = 25

    7 × 0.5 × 8 + 9 = 25

    28 + 9 = 25

    37 ≠ 25 (LHS ≠ RHS)

    Hence, "Option - (3)" is the correct answer.

  • Question 5/10
    1 / -0.25

    Three statements are given followed by three conclusions numbered I, II and III. Assuming the statements to be true, even if they seem to be at variance with commonly known facts, decide which of the conclusions logically follow(s) from the statements.

    Statements:

    Some teachers are scientists.

    All scientists are doctors.

    All doctors are engineers.

    Conclusions:

    I. Some doctors are teachers.

    II. Some engineers are teachers.

    III. Some doctors are scientists.

    Solutions

    The least possible Venn diagram for the given statement is:

    Conclusions:

    I. Some doctors are teachers → Follow (As, some teachers are scientists and all scientists are doctors. So, as whole scientists comes in doctors and have some part common with teachers therefore it is definitely true.)

    II. Some engineers are teachers → Follow (As, some teachers are scientists, all scientists are doctors and all doctors are engineers. So, as whole scientists comes in doctors which whole comes in engineers and some part of scientists is common with teachers therefore it is definitely true.)

    III. Some doctors are scientists → Follow (As, all scientists are doctors. So, as whole scientists comes in doctors therefore it is definitely true.)

    So, All conclusions follow.

    Hence, the correct answer is "All conclusions follow".

  • Question 6/10
    1 / -0.25

    Three statements are given followed by three conclusions numbered I, II and III. Assuming the statements to be true, even if they seem to be at variance with commonly known facts, decide which of the conclusions logically follow(s) from the statements.

    Statements:

    Some colours are rainbows.

    Some paints are rainbows.

    All rainbows are drawings.

    Conclusions:

    I. Some drawings are colours.

    II. All paints are drawings.

    III. Some drawings are rainbows.

    Solutions

    The least possible Venn diagram for the given statement is:

    Conclusions:

    I. Some drawings are colours → Follow (As, some colours are rainbows and all rainbows are drawings. So, as whole rainbows comes in drawings and have some part common with colours therefore it is definitely true.)

    II. All paints are drawings → Does not Follow (As, some paints are rainbows and all rainbows are drawings. So, it is possible but not definitely true)

    III. Some drawings are rainbows → Follow (As, all rainbows are drawings. So, as whole rainbows comes in drawings and have some part common with colours therefore it is definitely true.)

    So, Only conclusions I and Ill follow.

    Hence, the correct answer is "Only conclusions I and Ill follow".

  • Question 7/10
    1 / -0.25

    In the following figure, rectangle represents Doctors, circle represents Nurses, triangle represents Surgeon and square represents Patients. Which set of letters represents Nurses who are either Surgeons or Patients?

    Solutions

    Nurses who are either Surgeon or Patients represented by shaded part i.e. M and R.

    Hence, MR is the correct answer.

  • Question 8/10
    1 / -0.25

    In the given figure, if the triangle represents graduates, rectangle represents doctors and circle represents women, then what is the number of those women who are graduates but NOT doctors?

    Solutions

    As per the given information:

    The number of women who are graduates but not doctors = 2

    Hence, the correct answer is "option (4)".

  • Question 9/10
    1 / -0.25

    How many students are both writers and teachers?

    Solutions

    Given:

    Students represented by triangle, Writers represented by circle and teachers represented by rectangle.

    To find students who are also writers and teachers, we need to look at the common part of the all three.

    Thus, the shaded part is showing the common part of the all the three.

    Hence, "5" is the correct answer.

  • Question 10/10
    1 / -0.25

    In the question below are given statement followed by two conclusions numbered I and II. You have to take the given statements to be true even if they seem to be at variance with commonly known facts. Read all the conclusions and then decide which of the given conclusions logically follows from the given statements disregarding commonly known facts.

    A # B → All A is B

    A @ B → Some A is B

    A © B → No A is B

    A $ B → Some A is not B

    Statement: J @ H © S # T

    Conclusion:

    I. J @ S

    II. T @ S

    Solutions

    Decode the coded symbols is as follows:

    Statement: J @ H © S # T

    Means: Some J is H, No H is S, All S is T

    The least possible Venn diagram for the given statements,

    Conclusions:

    I. J @ S → Some J is S → False (It is possible but not definite. Hence it is false)

    II. T @ S → Some T is S → True (As All S is T)

    Hence, only II follows.

    Additional Information

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