Quant Quiz

Directions (1-5): What should come in place of the question mark (?) in the following number series ?

1. 113, 124, 148, 187, 243, (?)
(1) 317
(2) 327
(3) 318
(4) 329
(5) None of these


2. 253, 262, 387, 436, 1165,  (?)
(1) 1265
(2) 1285
(3) 1266
(4) 1276
(5) None of these

3. 312,  317,   330,   359,   412,   (?)
(1) 497
(2) 495
(3) 508
(4) 505
(5) None of these

4. 219,  225,  245,  287,  359,   (?)
(1) 454
(2) 479
(3) 484
(4) 469
(5) None of these

5. 183,  224,  306,  470,  798,  (?)
(1) 1444
(2) 1424
(3) 1464
(4) 1434
(5) none of these

Directions(6–10): Study the given information carefully and answer the questions that follow— 

An urn contains 6 orange, 4 violet, 2 red and 3 brown balls.

6. If four balls are picked at random, what is the probability that at least one is violet?
(1) 2/5 
(2) 60/65
(3) 44/455
(4) 22/21
(5) None of these

7. If three balls are picked at random, what is the probability that two are violet and one is brown?
(1) 10/455
(2) 35/355
(3) 18 /455
(4) 18/35
(5) None of these

8. If four balls are picked at random, what is the probability that one is red, two are violet and one is orange? 
(1) 24/455
(2) 14/455
(3) 13/55
(4) 134/165
(5) None of these

9. If two balls are picked at random, what is the probability that both are orange ?
(1) 1/3
(2) 1/7
(3) 3/5
(4) 2/3
(5) None of these

10. If two balls are picked at random, what is the probability that either both are red or both are brown?
(1) 3/5
(2) 2/25
(3) 14/25
(4) 4/105
(5) None of these

Directions (11-15): Study the information carefully to answer the questions that follow. 

In a college there are 1800 students who are doing Post Graduation (PG) in any one of the subjects, out of the five different subject’s viz. Zoology, Botany, Mathematics, Physics and Statistics. The ratio between the boys and the girls among those is 5: 4 respectively.  20 % of the total girls are doing PG in Zoology and 25% of the total girls are doing PG in Statistics. Total number of students doing PG in Botany is 440. 

Total students who are doing PG in Mathematics is 300. Respective ratio between the number of girls and the number of boys doing PG in Statistics is 2 : 3. Twenty percent of the total number of boys is doing PG in Botany. The ratio between the number of girls and boys doing PG in Mathematics is 1 : 2 respectively. There are equal number of boys and girls who are doing PG in Physics. 360 students are doing PG in Zoology.

11. What is the total number of students doing PG in Physics and Statistics together? 
(1) 800 
(2) 600 
(3) 700
(4) 500 
(5) None of these

12. What is the respective ratio between the boys doing PG in Mathematics and the number of girls doing PG in Botany? 
(1) 3 : 4 
(2) 6 : 1 
(3)  5 : 6
(4) 2 : 3 
(5) None of these

13. What is the difference between the boys doing PG in Zoology and the number of girls doing PG in Mathematics? 
(1) 100 
(2) 120 
(3) 60
(4) 80 
(5) None of these

14. In which PG course the number of girls is the highest and in which course the number of boys is the lowest (respectively)? 
(1) Botany and Mathematics
(2) Mathematics and Physics
(3) Botany and Zoology
(4) Botany and Physics
(5) Statistics and Physics

15. Number of girls doing PG in Statistics is what percent of the number of boys doing PG in Physics? 
(1) 100 
(2) 200 
(3) 20
(4) 400 
(5) None of these



ANSWERS

Solutions (6-10):
6. (5)
Required Probability = 1 – Probability that none of the four balls is violet
         =  1 - 11C4/15C4 = 69/91

7. (3)
Required Probability = (4C2 * 3C1)/ 15C3 = 18/455

8. (1)
Required Probability = (2C1 * 4C2 * 6C1)/15C4 = 24/455

9. (2)
Required probability = 6C2/15C2 = 1/7

10. (4)
Required probability = (2C2 + 3C2)/15C2 = 4/105

11. (3)
Total = 200 + 500 = 700

12. (3)
Required ratio = 200 : 240 = 5 : 6

13. (1)
Required difference = 200 – 100 = 100

14. (4)

15. (2)
Required percentage = 200%