A2Z Night Mixed Section Quiz 1

Aspirants Zone Presents special Night Mixed Sectional Quiz for its readers to practice all the sections in one go. 

Direction (1-5):In the following questions, two equations numbered are given in variables x and y. You have to solve both the equations and find out the relationship between x and y. Then give answer accordingly –

  1. I. x2 – (13+√2)x +13√2 = 0
    II. y2 – (4 + √3)y + 4√3 = 0
    A) If x > y
    B) If x < y
    C) If x ≥ y
    D) If x ≤ y
    E) If x = y or relation cannot be established
    View Answer
    Option E
    Explanation
    : I. For such type of question find two factors who multiplication = A*C and Sum=B
    when the quadratic equation is in the form Ax2 + Bx + C =0
    In the middle term i.e B part the two numbers are 13 and √2, there sum = B and multiplication is also equal to A*C i.e 13√2. So the roots are x=√2 and 13 both positive.
    II. Similarly here 4*√3 =A*C and 4 + √3 =B , so roots are 4 and √3. Note that here both roots have positive sign.
    Arrange the roots on number line
    √2(x)…..√3(y)……4(y)…..13(x) Hence no relation.
  2. I. x2 + 2(1-√3)x -4√3 = 0
    II. y2 – (4+3√3)y + 12√3 = 0
    A) If x > y
    B) If x < y
    C) If x ≥ y
    D) If x ≤ y
    E) If x = y or relation cannot be established
    View Answer
    Option B
    Explanation
    :Her the roots are 2 and 2√3 as they satisfy the condition A*C= 4√3 and B=Sum , but one of them will be negative in this case, to find out which one will be negative just open the bracket of B term i.e. 2(1-√3)x  = 2 -2√3, the term which is negative here, will be positive in the real root, i.e 2√3 will be positive, and 2 will be negative
    So roots are x -2, 2√3II. In case of Ay – By + C= 0 ; both roots are positive, so in this case boot the roots will be positive, y=3√3 and 4
    draw on the number line
    -2 (x)………… 2√3 (x)………. 3√3 (y)…………. 4(y)
  3. I. x2 + (3-4√3)x -12√3 = 0
    II. y2 – (5+4√3)y + 20√3 = 0
    A) If x > y
    B) If x < y
    C) If x ≥ y
    D) If x ≤ y
    E) If x = y or relation cannot be established
    View Answer
    Option E
    Explanation
    :I. x=-3, 4√3
    II. y=5, 4√3
    Draw on number line
    -3 (x)………. 5 (y)……..4√3 (x,y)
  4. I. 1/(x+1)2 = (81)-1/2
    II. y2 -10y +16 = 0
    A) If x > y
    B) If x < y
    C) If x ≥ y
    D) If x ≤ y
    E) If x = y or relation cannot be established
    View Answer
    Option D
    Explanation
    :I. 1/(x+1)2 = 1/9 ; cross multiply ans get quadratic equation: x2 + 2x – 8 = 0
    x=-4,2
    II. y=2,8
  5. I. 5x = z2
    II. 36y2 = z4
    A) If x > y
    B) If x < y
    C) If x ≥ y
    D) If x ≤ y
    E) If x = y or relation cannot be established
    View Answer
    Option A
    Explanation
    : I. x= z2 /5
    II. y = +/- z2 /6
    Suppose z square a constant, for x the denominator is less to the value will be grater than y

Direction (6-10): Find the error in the sentence if any.

  1. E-cigarettes work for (1)/ heating liquid nicotine and (2)/converting it into vapors (3)/ that users inhale. (4)
    A) 1
    B) 2
    C) 3
    D) 4
    E) No Error
    View Answer
    Option A
    Explanation
    :for=> by
  2. Observe a pianist at a recital – (1)/ converting musical notations into precisely (2)/ timed finger movements on a piano – (3)/ can be a powerful emotional experience. (4)
    A) 1
    B) 2
    C) 3
    D) 4
    E) No Error
    View Answer
    Option A
    Explanation
    : Observe=> Observing
  3. Over the past two decades, (1)/ several investigators have reported a differences in the brain (2)/ and behavior of musicians (3)/ compared to nonmusicians.(4)
    A) 1
    B) 2
    C) 3
    D) 4
    E) No Error
    View Answer
    Option B
    Explanation
    :remove a
  4. The government of Telangana has raised quotas (1)/ in government jobs and admission to higher education (2)/ for scheduled tribes and Muslims, raising the total number (3)/ of reserved positions to 62 per cent of the total. (4)
    A) 1
    B) 2
    C) 3
    D) 4
    E) No Error
    View Answer
    Option E
    Explanation
    :Sentence is error free
  5. The Union Government’s nod to set up the Rail Development Authority of India (RDA) (1)/ as an independent authority to look after the affairs (2)/ of the national carrier is not just a major step in the direction of railway reform (3)/ and the single most important one in many years. (4)
    A) 1
    B) 2
    C) 3
    D) 4
    E) No Error
    View Answer
    Option D
    Explanation
    :and=>but; not just a.. but

Direction (11-15): Puzzle

There are 8 friends A,B,C,D,O,P,Q and R who have meeting scheduled in 3 months January, March and June on dates either 12, 16 or 19 only of these 3 months. On one of the date there is no meeting. Only these 9 days have been mentioned in the further passage.

P has meeting in March and there is no meeting scheduled just before P. D has a meeting on 16th of a month that is not January. C has a meeting on 16th but his meeting falls before P. B and R don’t have meeting on the same date. Only one meeting is scheduled between R and O. Meeting of A is scheduled just after B but not in the same month. Neither A nor B has a meeting in June. Q does not has a meeting on 19th.

  1. Who among the following has the meeting on the first date of the scheduled meetings?
    A) A
    B) B
    C) O
    D) P
    E) Q
    View Answer
    Option E
    Explanation
    : Q
  1. B has a meeting on which date?
    A) 16 March
    B) 19 January
    C) 19 March
    D) Either A or B
    E) Either B or C
    View Answer
    Option B
    Explanation
    : 19 January
  2. How many people have meeting scheduled between the meeting of A and P?
    A) 0
    B) 1
    C) 2
    D) 3
    E) None of these
    View Answer
    Option A
    Explanation
    :No one has meeting between A and P. Although there is one day gap, but no person has meeting on that day
  3. Find the odd one out
    A) QC
    B) RD
    C) DO
    D) CB
    E)BR
    View Answer
    Option E
    Explanation
    :Rest all are people with meeting on consecutive days
  4. Who among the following does not have meeting on 16th of any month?
    A) Q
    B) C
    C) D
    D) O
    E) Both Q and O
    View Answer
    Option E
    Explanation
    :Q- 12 Jan; O- 19 June

 

 

 

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59 Thoughts to “A2Z Night Mixed Section Quiz 1”

  1. HOPE_2017 ™

    Gud Evng 🙂

  2. <<>> struggling engg

    q.3 wrong answer

    1. Suraj

      what are the roots?? and ans?

      1. HOPE_2017 ™

        X<=Y ??

        1. Suraj

          what are the roots??

          1. HOPE_2017 ™

            sry sir,small confusion…. its right,roots r same as u given….

      2. Shilpa Thakur

        +3 and -4underroot3………………….

      3. <<>> struggling engg

        ok sorry sir got it 4root3 greater than 5 its my mistake

        1. Suraj

          its ok,, keep learning :))

  3. <<>> struggling engg

    q.5 mai z^2=-6y v to hoga how we can compare 5x=-6y please help me

  4. <<>> struggling engg

    thanks nyc one…

  5. Shilpa Thakur

    question number 3?????????????/ please explain how it is x <y ????????????????? why not option e

    1. Suraj

      answer is e) no relation
      see x= -3, 4√3
      and y= 5, 4√3,
      4√3 = 6. something i.e more than 5
      draw on number line

      -3 (x)………. 5 (y)……..4√3 (x,y)

      1. Shilpa Thakur

        x = -3 and +4/3 ??????????/
        + – equation me – > +.. root aate hai sooo 4/3 greater nhi hai kya 3 se
        please sir es confusion ko dur kr do

        1. Suraj

          x= -3 and 4 root 3 ye to sahi hai
          buy Y se comapre karna hai na,, Y= 5, 4 rot 3,

          1. Shilpa Thakur

            sir ……….. please aap pura detail me bta doge kiase ye root aaye …………. please please

          2. Suraj

            Equation hai x^2 + (3-4√3)x -12√3 = 0
            ab aise do number select karne hai jiska multiplication 12root3 [multiplication of first term and last term] ke barabar aaye and sum (3-4root3) [middle term] aaye..

            so aise do numbers hai 3 and 4root3 itself…. ab baat aati hai sign ki.. kiski sign kya rahegi…

            hamesha ques me middle term ko is form me arrange kar lo (Whole number +/- root wala number) means pehle whole number wala term rahe bracket me… example agar aisa ho

            x^2 – (4√3 – 3)x -12√3 = 0
            to middle term me 3 ko pehle le aao, aur minus sign common le lo, so it becomes
            x^2 + (3 – 4√3 )x -12√3 = 0

            Ab sign k liye ye rules apply karo

            agar + – + hai ie pehle term ka sign +, middle term ka sign – and last term ka sign +, to dono roots will be +

            agar + + + hai, to both roots will be negative

            agar sign hai + + -, iska matlab koi ek root negative hoga and ek positive

            for this ki kaunsa positive kaunsa negative, just open the bracket, jis number k sath negative sign aaye,, wo root positive hoga,, jiske sath + sign aaye wo negative hoga
            example here
            (3-4√3)x bracket open krne pe
            we have +3, – 4root3
            just reverse the sign roots ke sign me whole number negative hoga and root wala positive

          3. LAUGHYNG TYM ITS NITROUS OXIDE

            SIR CUBE ROOT WALE BHI POST DENA QUADRATIC AND SIMPLIFICATION NHI DIKHI :p ABHI TAK

          4. Suraj

            ok ab daily daily krneg isko post,, usme sab cover kr lenge

          5. LAUGHYNG TYM ITS NITROUS OXIDE

            JI SIR GNT TQ

          6. Shilpa Thakur

            thank you sir….

      2. Shilpa Thakur

        question hi ulta type kr diya tha….

  6. (¯·.¸¸.-> °º åɱβȋ º° <-.¸¸.·¯)

    ty sir :)) superb quiz

  7. suvajit Chakraborty

    awesome sir :)) one of the best sites :))

    1. jaga

      q1 2 3 5 kese kiye ??

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