Quant Quiz For SSC CGL 2016: Average

Chapterwise Quant Quiz For SSC CGL 2016: Average

Dear Readers,

As SSC CGL exam is coming near, many of candidates are studying very hard for this exam and want to crack this exam very seriously. Many of candidates understand this thing that QUANTITATIVE APTITUDE Section plays a pivotal role in deciding the cut-off for candidates giving this exam.

Friends, from now on We are starting an online quiz series of "Arithmetic Quant". According to this plan, we would be publishing daily quiz of Arithmetic maths portion from where we would cover a topic each in it and we would update it daily. 

AND ALSO THIS QUIZ SERIES IS NOT PARTICULARLY FOR SSC EXAM BUT ALSO USEFUL FOR OTHER GOVERNMENT EXAM.

1.The average of marks obtained by 120 candidates in a certain examination is 35. If the average marks of passed candidates is 39 and that of the failed candidates is 15, what is the number of candidates who passed examination?

(a) 100

(b) 200

(c) 300

(d) 400

Solution: (a)
Let the number of passed candidates be x.
Then total marks =120×25=39x+(120-x)×15 
or, 4200=39x+1800-15x
or, 24x=2400
∴ x=100

∴ number of passed candidates = 100

2.A constant distance from A to B is covered by a man at 40 km/hr. The person rides back the same distance at 30 km/hr. Find his average speed during the whole journey. 

(a) 34 km/hr 

(b) 35.29 km/hr

(c) 34.29 km/hr

(d) 35 km/hr

Solution: (c) 
By the formula:
2xy/(x+y) km/hr=2*40*30/40+30


=34.29 

3.A person divides his total route of journey into three equal parts and decides to travel the three parts with speeds of 40, 30 and 15 km/hr respectively. Find his average speed during the whole journey. 

(a)  22

(b)  24

(c)  34

(d)  44

Solution: (b)
By  Formula:-
3xyz/(xy+yz+xz) 
Average speed =(3×40×30×15)/(40×30+30×15+40×15)
=(3×40×30×15)/2250=24 km/hr. 

4.There were 35 students in a hostel. If the number of students increases by 7, the expenses of the mess increase by Rs. 42 per day while the average expenditure per head diminishes by Re 1. Find the original expenditure of the mess. 

(a) 110 

(b) 220

(c) 320

(d) 420

Solution: (d)
Suppose the average expenditure was Rs. x. Then total expenditure =35x.
When 7 more students join the mess, total expenditure =35x+42 
Now, the average expenditure =(35x+42)/42=x-1
or, 35x+42=42x-42  
or, 7x=84∴ x=12

Thus the original expenditure of the mess=35×12= Rs. 420 

5.There were 40 students in a hostel. If the number of students increases by 8, the expenses of the mess increase by Rs. 48 per day while the average expenditure per head diminishes by Rs. 2. Find the original expenditure of the mess. 

(a) Rs. 620  

(b) Rs. 720 

(c) Rs. 750 

(d) Rs. 820 

Solution: (b)
Suppose the average expenditure was Rs. x. Then total expenditure =40x.
When 7 more students join the mess, total expenditure =40x+48 
Now, the average expenditure =(40x+48)/48=x-2
or, 40x+48=48x-96  
or, 8x=144∴ x=18

Thus the original expenditure of the mess=40×18= Rs. 720

6.The average weight of a group of 15 boys was calculated to be 60 kg and it was later discovered that one weight was misread as 24 kg instead of the correct one of 42 kg. The correct average weight is?

(a) 60.2 kg

(b) 61.2 kg

(c) 62 kg

(d) 61 kg
Solution: (b)
=15*60-24+42/15= (900+18)/15

=61.2 

7.The average of Suresh’s marks in English and History is 55. His average of marks in English and Science is 65. What is the difference between the marks which he obtained in History and Science?

(a) 40 

(b) 60

(c) 20

(d) Data inadequate 

Solution : (c) 
E+H= 55*2=110
E+S= 65*2= 130

= 130-110 = 20

8.The population of a town increased by 20% during the first year, by 25% during the next year and by 44% during the third year. Find the average rate of increase during 3 years. 

(a) 36.87% 

(b) 37.68%

(c) 38.67%

(d) None of these

Solution: (c) 
Let the initial population be 100
Population after the first year =100×1.20=120 
Population after the second year =120×1.25=150
Population after the third year =150×1.44=216
Net increase =216-100=116
Net per cent increase during 3 years =116/100×100=116%
Net per cent increase per year =116/100×100=116%

Net increase= 116%/3 = 38.67%

9.The average age of a husband and wife was 23 years when they were married 5 years ago. The average age of the husband, the wife and a child who was born during the interval, is 20 years now. How old is the child now?

(a) 9 months 

(b) 1 year

(c) 3 years

(d) 4 years

Solution: (d)
Present total age of husband and wife =(2×23+2×5)=56 years
Present total age of husband, wife and child =3×20=60 years.

Present age of child =(60-56)=4 years.

10.The average height of 40 students is 163 cm. On a particular day, three students A, B, C were absent and the average of the remaining 37 students was found to be 162 cm. If A, B have equal heights and the height of C be 2 cm less than that of A, find the height of A.

(a) 176 cm 

(b) 166 cm

(c) 180 cm

(d) 186 cm

Solution: (a)
Let the height of A, B and C be x cm, x cm and (x-2) cm 
Then, x+x+(x-2)=(163×40-162×37). 

∴x=176 cm

Advance Quant Quiz For SSC CGL 2016 (GEOMETRY-QUADRILATERALS)

Advance Quant Quiz For SSC CGL 2016 (GEOMETRY-QUADRILATERALS)

Dear Readers,

As SSC CGL exam is coming near, many of candidates are studying very hard for this exam and want to crack this exam very seriously. Many of candidates understand this thing that QUANTITATIVE APTITUDE Section plays a pivotal role in deciding the cut-off for candidates giving this exam.

Friends, from now on We are starting an online quiz series of "Arithmetic Quant". According to this plan, we would be publishing daily quiz of Arithmetic maths portion from where we would cover a topic each in it and we would update it daily. 

AND ALSO THIS QUIZ SERIES IS NOT PARTICULARLY FOR SSC EXAM BUT ALSO USEFUL FOR OTHER GOVERNMENT EXAM.

FOR Answers click below 
ANS 1,2
ANS 3,4,5
ANS 6,7
ANS 8
ANS 9,10

Quant Quiz

Quant Quiz

Directions (Q. 1-5): What will come in place of the question mark (?) in the following number series?
1. 8    10    18    44    124    (?)
(1) 344
(2) 366
(3) 354
(4) 356
(5) None of these


2. 13    25    61    121    205    (?)
(1) 323
(2) 326
(3) 324
(4) 313
(5) None of these

3. 656    352    200    124    86    (?)
(1) 37
(2) 59
(3) 62
(4) 57
(5) None of these

4. 454    472    445    463    436    (?)
(1) 436
(2) 456
(3) 454
(4) 434
(5) None of these

5. 12    18    36    102    360    (?)
(1) 1364
(2) 1386
(3) 1384
(4) 1376
(5) None of these

DIRECTIONS (6-10) - Study the information given and answer the following questions.

6. Between 1995 and 2000, in which year has the av-erage employment per factory shown an increment compared to previous year, but decreased in the next year?
(1) 1996
(2) 1997
(3) 1998
(4) 1999
(5) None of these

7. If in 1996, 20,100 factories had 659 employments on an average, the remaining factories had an average employment of:
(1) 559
(2) 509
(3) 584
(4) 534
(5) None of these

8. The total employment in 1999 is how many times to that in 1996?
(1) 1.45
(2) 1.48
(3) 1.6
(4) 1.42
(5) None of these

9. In which of the following five-year period, number of factories has shown maximum increase?
(1) 1980-85
(2) 1985-90
(3) 1990-95
(4) 1995-00
(5) None of these

10. Among the given period, in how many years has the trend of the average employment per factory not changed with respect to the previous year's change?
(1) Two
(2) Three
(3) Four
(4) Can't be determined
(5) None of these



ANSWERS

6. (4) in 1999, average employment per factory is greater than 1998 and less than 2000.

7. (2), in 1996, for 20100 factories , employees = 13,245,900; average = 609, total employees = 18,361,350. So average for remaining factories = 509.

8. (1) , total employment in 1999= 36240 x 736.
Total employment in 1996 = 609 x 30150,
Ratio =  (36240×736)/(30150×609)=1.45

9. (4) From the figure it can be seen that the maximum increase in the number of factories is in 1995-2000.

10. (4) , we do not have year wise data in between 1975- 1980 & similarly between 1980-1985,etc.

Quant Quiz

Quant Quiz 

Quiz 5	Quiz 4	Quiz 3	Quiz 2	Quiz 1

Quant Quiz for Railways, SSC CPO, SSC CGL 2016, SSC CHSL

Quant Quiz for Railways, SSC CPO, SBI,SSC CGL 2016, SSC CHSL

 

1.The difference between a discount of 40% on Rs 500 and two successive discount of 36%, 4% on the same amount is :

(a) Rs 0

(b) Rs 2

(c)Rs 1.93

(d)Rs 7.20

2.Rs.460 was divided among 41, beggars and children such that each beggarRs.12 and each children got Rs.8. What is the number of beggars?

(a) 33

(b) 30

(c) 36

(d) 28

3.A sum of money doubles itself at some rate of compound interest in 15 years in how many years will it become eight times of itself with the same rate ?

(a) 30

(b) 45

(c) 48

(d) 60

4.Find the compound interest on Rs. 15000 if rate of interest is 10%, 20% and 25% for three successive years compounded annually.

(a) Rs. 8700

(b) Rs. 9750

(c) Rs. 10500

(d) Rs. 12500

5.A man deposits Rs. 8000 in his bank account which pays interest at simple interest per annum. After 3 years, he deposits Rs. 6000 in his account. If after further 5 years, his closes his account after withdrawing his total account balance of Rs. 18700, then find the rate of interest.

(a) 5%

(b) 3%

(c) 2.5%

(d) 3.5%

6.75 weavers can complete a work in 30 days. 20 days later, they are joined by 50 more weavers but the efficiency of these new weavers is 50% of the efficiency of the existing weavers. In how many days less than the scheduled time will the work be completed?

(a) 2.5 days

(b) 5days

(c) 7.5 days

(d) 10 days

7.A 10liters mixture of milk and water contains 20% milk. 25% of the water contents are evaporated after boiling. Find the ratio of milk and water left in the mixture.

(a) 1:3

(b) 1:2

(c) 2:3

(d) 1:1

8.Two trains 137 m and 163 m in the length are running towards each other on the parallel line, one at the rate of 42 kmph and another at 48 kmph. In what time will they be clear of each other from the moment they meet ?

(a) 10 sec

(b) 12 sec

(c) 9 sec

(d) 11 sec

9.The average mark in mathematics for 5 students was found to be 50. Later it was discovered that in the case of one student the marks 48 were misread as 84. The correct average is :

(a) 40.2

(b) 40.8

(c) 42.8

(d) 48.2

10.The monthly incomes of two persons are in the ratio 2:3 and their monthly expenses are in the ratio 5:9. If each of them saves Rs 600 per month, then their monthly incomes are.

(a) Rs 1,500; Rs 2,250

(b) Rs 1,200; Rs 1,800     

(c) Rs 1,600; Rs 2,400

(d) Rs 1, 4 00; Rs 2,100

 

Answer