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Number series & Quadratic Test 59
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Number series & Quadratic Test 59

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  • Question 1/10
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    Directions For Questions

    Direction: What should come in place of question mark (?) in the following number series?

    ...view full instructions

    445, 221, 109, ?, 25, 11, 4
    Solutions
    The series is





    Thus, option (E) is correct choice.
  • Question 2/10
    1 / -0

    Directions For Questions

    Direction: What should come in place of question mark (?) in the following number series?

    ...view full instructions

    4 9 16 35 66 137 ?
    Solutions
    4,
    9 = 4 ×2 + 1,
    16 = 9 × 2 – 2,
    35 = 16 × 2 + 3,
    66 = 35 × 2 – 4,
    137 = 66 × 2 + 5,
    Next number = 137 × 2 – 6 = 268
  • Question 3/10
    1 / -0

    Directions For Questions

    Direction: What should come in place of the question mark '?' in the following number series?

    ...view full instructions

    1, 27, 125, ?, 729
    Solutions
    If we observe the question, we can draw a pattern





    Hence, C is the correct option.
  • Question 4/10
    1 / -0

    Directions For Questions

    Direction: What will come in place of question mark (?) in the following number series?

    ...view full instructions

    447, 335, 279, 251, 237, ?
    Solutions
  • Question 5/10
    1 / -0

    Directions For Questions

    Direction: What value should come in place of the question mark (?) in the following question?

    ...view full instructions

    17, 90, 456, 2287, ?
    Solutions
    The series is 17×5+5 = 90
    90×5+6 = 456
    456×5+7 = 2287
    2287×5+8 = 11443.
    Thus, option (D) is correct choice.
  • Question 6/10
    1 / -0

    Directions For Questions

    Direction: In the following question, there are two equations. Solve the equations and answer accordingly:

    ...view full instructions

    I. 12m – 35 = 49 - 9m
    II.
    Solutions
    I.12m + 9m = 49+35
    21m = 84
    m=
    II. = +
    =
    n + 222 = 225
    n = 225
    m > n
  • Question 7/10
    1 / -0

    Directions For Questions

    Direction: In the following question, there are two equations. Solve the equations and answer accordingly.

    ...view full instructions

    I. 3m2 - 27m + 60 = 0
    II.
    Solutions
    I. 3m2-27m+60=0
    m2-9m+20=0

    m(m-5)-4(m-5)=0
    m = 4, 5
     
    II.  
    n2-13n+42=0
    n(n-7)-6(n-7)=0
    (n-6)(n-7)=0 
    n = 6, 7

    m<n
  • Question 8/10
    1 / -0

    Directions For Questions

    Direction: In each of these questions, two equations (I) and (II) are given.
    Solve both the equations and give answer.

    ...view full instructions

    I. 3p2 – 75p + 342 = 0
    II. q3 = 1512 ÷ (2401)1/4
    Solutions
    I. 3p2 – 75p + 342 = 0
    3p2 – 57p – 18p + 342 = 0
    3p(p-19) - 18(p-19) = 0
    (p-19)(3p-18) = 0
    p = 6, 19
    II. q3 = 1512 ÷ (2401)1/4
    q3 = 1512 ÷ 7
    q3 = 216
    q = 6
    p≥q
  • Question 9/10
    1 / -0

    Directions For Questions

    Direction: In each of these questions, two equations (I) and (II) are given.
    Solve both the equations and give answer.

    ...view full instructions

    I. 3p2 + 49p + 200 = 0
    II. 3q2 + 9q - 264= 0
    Solutions
    I. 3p2 + 49p + 200 = 0
    3p2 + 24p + 25p + 200 = 0
    3p(p+8) +25(p+8)=0
    (3p+25)(p+8)=0
    P =-25/3, -8
    3q2 + 9q – 264 = 0
    3q2 – 24q + 33q - 264 = 0
    3q(q-8)+33(q-8)=0
    (3q+33)(q-8)=0
    q=-11, 8
    No relation can be established.
  • Question 10/10
    1 / -0

    Directions For Questions

    Direction: In the following question, two equations (I) and (II) are given. You have to solve both the equations and find out the relationship in between variables:

    ...view full instructions

    I.
    II.
    Solutions
    I.

    II.


    Clearly ,
    Hence, option D is correct.
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