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.

6. 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
7. 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
8. 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
9. 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
10. 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 16^th of a month that is not January. C has a meeting on 16^th 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 19^th.

11. 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
    

12. 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
13. 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
14. 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
15. Who among the following does not have meeting on 16^th 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