Wednesday, September 17, 2014

Quantitative Aptitude Quiz

Directions (1-5): In the following number series only one number is wrong. Find out the wrong number-

1. 6       3.5       4       7.5       34.5       276.5
(1) 3.5
(2) 34.5
(3) 7.5
(4) 276.5
(5) None of these


2. 8       9       20       64       256       1285
(1) 20
(2) 9
(3) 8
(4) 256
(5) None of these

3. 9       17       33       64       129
(1) 17
(2) 129
(3) 9
(4) 64
(5) None of these

4. 2       15       92       462       1856
(1) 2
(2) 462
(3) 1856
(4) 15
(5) None of these

5. 286       142       71       34       16       7
(1) 71
(2) 286
(3) 34
(4) 16
(5) None of these

Directions (6-10): Read the following data carefully and answer the questions given below—

No. of students studying different syllabus in 2002 and 2003 in state 'P'


6. From 2002 to 2003, in which syllabus the no. of studying students decreases?
(1) Science
(2) Art
(3) Agriculture
(4) Medicine
(5) None of these

7. From 2002 to 2003, in which syllabus percent increase in number of studying students was minimum?
(1) Medicine
(2) Art
(3) Pharmacy
(4) Science
(5) None of these

8. What is the total number of students studying commerce, engineering and medicine in 2003?
(1) 14900
(2) 15800
(3) 16000
(4) 15900
(5) None of these

9. What is the approximate percent increase in no. of students studying engineering from 2002 to 2003?
(1) 28%
(2) 30%
(3) 26%
(4) 22%
(5) None of these

10. What is the total number of students studying agriculture, pharmacy and medicine in 2002?
(1) 6500
(2) 6000
(3) 6200
(4) 5800
(5) None of these

Directions (11-15): The questions given below contain two statements giving certain data. You have to decide whether the data given in the statements are sufficient for answering the question. 

Mark answer—
(1) If statement I alone is sufficient but statement II alone is not sufficient.
(2) If statement II alone is sufficient but statement I alone is not sufficient. 
(3) If each statement alone (either I or II) is sufficient.
(4) If statement I and II together are not sufficient.
(5) If both statement together are sufficient, but neither statement alone is sufficient.

11. What is the teacher's age?
(I) The average are of 10 students and their teacher is 25 years.
(II) The teacher's age is 10 years more than the age of the oldest student.

12. How many marks did Akshay get?
(I) The marks got by Akshay is equal to average marks of Namita and Mona.
(II) Namita got 80 marks which is 60% more than the marks get by Mona.

13. What amount of profit did Sheetal make by selling a watch?
(I) She sold it at 20 percent profit on the labelled price.
(II) She bought the watch at 50 percent -discount on labelled price.

14. What is the rate of simple interest per annum?
(I) The sum tripples in 20 years at simple interest.
(II) The difference between sum and simple interest in 10 years is Rs. 1000

15. 3 boys and 1 girl completed a piece of work in 4 days. In how many days will 2 girls and 2 boys complete the same work?
(I) 5 girls completed the same works in 4 days.
(II) 2 boys and 1 girl completed the same work in 5 days.



ANSWERS

1. 3; 6 × .5 + .5 = 3.5
3.5 × 1 + .5 = 4
4 × 2 + .5 = 8.5
8.5 × 4 + .5 = 34.5
34.5 × 8 + .5 = 276.5

2. 5; 8 × 1 + 1 = 9
9 × 2 + 2 = 63
20 × 3 + 3 = 63
63 × 4 + 4 = 256
256 × 5 + 5 = 1285

3. 4; 9 × 2 – 1 = 17
17 × 2 – 1 = 33
33 × 2 – 1 = 65
65 × 2 – 1 = 129

4. 2; 2 × 7 + 1 = 15
15 × 6 + 2 = 92
92 × 5 + 3 = 463
463 × 4 + 4 = 1856

5. 1; 286 ÷ 2 – 1 = 142
142 ÷ 2 – 1 = 70
70 ÷ 2 – 1 = 34
34 ÷ 2 – 1 = 16
16 ÷ 2 – 1 = 7


Solution - 6-10

Syllabus
No of students in
2002
No of students in
2003
Science
6000
6600
Commerce
5500
7200
Art
3000
3300
Medicine
2750
3000
Pharmacy
1500
2700
Eng.
4500
5700
Agriculture
1750
1500

6. (3) In Agriculture

7. (1)  Medicine =  (2750 – 3000)/2750 * 100 
                                       = 250/2750 * 100 
                                       = 100/11 = 9.09%

8. (4) Total number of students in studying in Commerce, Engineering & Medicine in 2003 = 7200 + 5700+ 3000 = 15900

9. (3)  Req % =  (5700 – 4500)/4500 * 100 = 1200/4500 * 100 =  26.66% = 26


10. (2) Students studying in Agriculture+ Pharmacy+ Medicine = 1750+ 1500+2750 = 6000

11. 4; Data inadequate 

12. 5; State (I) from. 
Akshay =  (Namita + Mona)/2
Statement (I) from. 
Namita = Mona ×  160/100
80 = Mona ×  160/100
Mona = 50
Akshay =  (80 + 50)/ 2= 65

13. 4; Data inadequate 

14. 1; Statement (I) from 
2 =  (1 * r * 20)/100  
r = 10%
Statement I alone is sufficient but statement II is not 

15. 3; From (I) 
Time taken by 1 girls to complete the work = 5 × 4
       = 20 days
Time taken by 2 girls to complete the work = 20/2 
       = 10 days
Time taken by 2 boys to complete the work =  1/4 - 1/20
       = 5 days
From (II)
We can find the ratio of numbers of boys and girls. So either of the statement is necessary


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