Quant Quiz ( Based on Exam Pattern )

Directions (1-5): Study the table carefully to answer the following questions.

1.What is the speed of the train running between Kanyakumari and Madurai? 

1) 40 kmph

2) 60(2/19) kmph

3) 62(11/21) kmph

4) 50 kmph

5) 68(15/22) kmph

2.If there is no any stop between Kanyakumari and Renigunta, then what will be the new speed of the train?

1) 47(5/7) kmph

2) 48(4/9) kmph

3) 49(1/2) kmph

4) 50(3/7) kmph

5) 53(11/17) kmph

3.What is the total income of Railways from this train from Kanyakumari to Madurai? (Given-fare for Child is 40% that for an Adult)

1) Rs.163400

2) Rs.155980

3) Rs.173500

4) Rs.184000

5) Rs.192500

4.What is the ratio of adults to children who arrive at Renigunta?

1) 3 : 5

2) 47 : 21

3) 39 : 41

4) 47 : 51 

5) 5 : 19

5.A 10-member family, in which there are 4 children, boards the train at Tuticorin and deboards the train at Arakkonam. What is the fare paid by them? (Given that the ratio of fare of Adult to child is 5 : 2)

1) Rs. 3034

2) Rs. 2832

3) Rs. 2964

4) Rs. 3544

5) Rs. 3262

.

6.Two cards are drawn from a well-shuffled pack of 52 cards. Find the probability that both of them are either red or Kings.

1) 7/13

2) 3/26

3) 63/221

4) 55/221

5) 5/7

7.Two dice are tossed. What is the probability that the sum total is a prime number?

1) 1/6

2) 5/12

3) 1/2

4) 7/9

5) 8/15

Directions (8-10): In each of these questions, two equations (I) and (II) are given. You have to solve both the equations and give answer

1) if x > y

2) if x < y

3) if x ≥ y

4) if x ≤ y

5) if x = y or relation cannot be established between 'x' and 'y'.

8. I.  x(x+7) = 30 

   II. y^2 = (2401)^1/2  +(225)^1/2 

9. I.  5x^2 - 11x +6 = 0

   II.y^2 -15y +56 = 0

10. I.x^2 = 1296  

     II.y(y+7) + 12 = 0

Answers -

1.(1) Required speed = 430/(11 : 45pm-1: 00 pm) = 430/10: 45 = 40 kmph

2.(5) Total time taken = 11 am – 1 pm = 22 hours

Total halt time = 5 + 10 + 20 + 5 + 5 = 45 minute

if there is no halt then time taken

22 hr – 45 minutes = 21 hr 15 min

So, Required speed = (1140)/21(1/4) = 53 (11/17) kmph.

3.(2), Total income of Railways from Kanyakumari to Madurai

= (fare of adult × No of adult) + (fare of child × No. of children)

4.(2) No. of adults arriving at Renigunta

= (250 + 320 + 150 + 100 + 120 + 80) – (100 + 50 + 230 + 80 + 90)

= 470

No. of children arriving at Renigunita

= (70 + 90 + 70 + 60 + 40 + 20) – (20 + 30 + 50 + 30 + 10) = 210

Required ratio = 470 : 210 = 47 : 21

5.(3) The fare paid by the family = fare of 6 adults + fare. Of 4 children

= 6 × (590 – 200) + 4(590 – 200) × 2/5 = 2964

6.(3) P(E) = 28C2/ 52C2 = 63/221

7.(2) n(E) = (1,1), (1,2), (1,4), (1,6), (2,1), (2,3), (2,5), (3,2) (3,4), (4,1) (4,3) (5,2), (5,6), (6, 1), (6,5),

P(E) = 15/36 = 5/12

8.(5) x = 3,  -10

Y = ± 8

9.(2) x = 1, 6/5

y = 8, 7

10.(5) x = ± 36

Y = - 4, - 3