Quant Quiz On D.I

Directions—(Q. 1–5) Study the following graph carefully to answer the questions—

The following Bar graph gives the number of products manufactured and sold by a company over the years. 2004 to 2009 Value in Thousand.

1. What is the difference in the number of products manufactured by the Company in the year 2009 and 2008 ?
(1) 4000  
(2) 5000 
(3) 3500
(4) None of these

2. The number of products sold by the company in the year 2004 is what per cent of the number of products manufactured by it in that year ? (Rounded off to two digits after decimal)
(1) 71.43  
(2) 67.51
(3) 81.67 
(4) 56.29 

3. What is the per cent increase in the number of products manufactured by the company in the year 2006 from the previous year ? (Rounded off to two digits after decimal)
(1) 19.25  
(2) 33.33
(3) 10.45 
(4) None of these

4. What is the respective ratio of the number of products not sold by the company in the year 2007 to those not sold in the year 2005 ?
(1) 3 : 1  
(2) 6 : 5 
(3) 1 : 3
(4) 5 : 6 

5. What is the  average number of products manufactured by the company over all the years together ?
(1) 36550 
(2) 39480
(3) 41220 
(4) 43330 
(5) 34420

Directions—(Q. 6–10) Study the following graph carefully to answer the questions that follow—
The following line graph gives distance (in km) travelled by five different trucks in a day.

6. What is the respective ratio of the distance travelled by Truck A to the distance travelled by Truck D?
(1) 17 : 19 
(2) 11 : 15
(3) 19 : 17
(4) 15 : 11 

7. What is the average distance travelled by all the Trucks together ?
(1) 510 km  
(2) 515 km
(3) 425 km 
(4) None of these

8. If Truck C covered the given distance at the average speed of 55 km/hr, what was the time taken by it to cover this distance?
(1) 12 hours
(2) 10 hours
(3) 8 hours
(4) 6 hours 

9. The distance travelled by Truck A is approximately what per cent of the total distance travelled by Truck E and C together ?
(1) 44  
(2) 50 
(3) 52  
(4) 58 

10. If the time taken by Truck B to cover the given distance was 8 hours, what was the average speed of the truck ?
(1) 51.75 km/hr 
(2) 45•25 km/hr
(3) 52•25 km/hr 
(4) 43•75 km/hr

Solutions (1-5):
1. (2) 

2. (1) Required percentage = 25/35 * 100 = 71.43%

3. (4) Required percentage =  (42.5 - 37.5)/37.5 *100 = 13.33%

4. (3) Required ratio = (45 – 42.5) : (37.5 – 30) = 1 : 3

5. (4) Required average = (35000 + 37500 + 42500 + 45000 + 47500 + 52500)/6  =43330 (approx).

Solutions (6-10):

6. (3) Required ratio = 475 : 425 = 19 : 17

7. (4) Total distance travelled by all trucks = 475 + 350 + 550 + 425 + 525 = 2325 km
Average distance = 2325/5 = 465 km .

8. (2) Time taken by truck C = 550/55 = 10 hours.

9. (1) Required percentage = 475 / (550 + 525)  = 44% (approx).

10. (4) Speed of truck B = 350/8 = 43.75 km/hr

                                        

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Quant Quiz For SSC Exam

1.    A man rows 20 km downstream and 16 km upstream taking 4 hours each time. What is the speed of current?
(a) 0.4 kmph
(b) 0.5 kmph
(c) 0.6 kmph
(d) 0.1 kmph

2.    On selling an item for Rs 20 a man gains 25%. In order to gain 40% what will be the increase in it’s selling price.
(a) Rs 3.40
(b) Rs 3 
(c) Rs 2.62
(d) Rs 2.40

3.    The sum of money that will give Rs 2 as simple interest per day at the rate of 8% per annum is
(a) Rs 9125
(b) Rs 7236
(c) Rs 6382
(d) Rs 9262

4.    X can do a piece of work in 20 days and Y can do it in 10 days. They started together, but after 6 days X leaves off. Y will do the rest work in
(a) 1 day 
(b) 2 days
(c) 7/3 days
(d) 3 days

5.    A radio is sold for Rs 990 at a profit of 10%. What would have been the gain or loss in percentage had it been sold for Rs 880?
(a) 19/3%  gain
(b) 17/3% loss
(c) 17% gain
(d) 20/9% loss

6.    In an exam, 60% of the total student passed. If the number of failed students is 320 then the total number of students is
(a) 600 
(b) 700 
(c) 800 
(d) 900 

7.    A cycle is bought for Rs 840 and sold at Rs 920. What is the percentage gain
(a) 10.50%
(b) 8.52%
(c) 7.35%
(d) 9.52%

8.    If Raj’s salary is 30% more than Amar’s salary, the how many percent is Amar’s salary less than that of Raj’s?
(a) 56% 
(b) 23.07%
(c) 50/3%
(d) 50.6%

9.     Find the number of ways in which 5 different beads can be arranged to form a necklace.
(a) 120 
(b) 60 
(c) 30 
(d) 12 

10.  A card is drawn from a pack of playing cards, what is the probability of getting either a red or a red queen?
(a) 4/13  
(b) 7/13 
(c) 1/13 
(d) 1/26 

ANSWERS WITH EXPLNATION :
1. (b)
Speed downstream = 20/4 = 5 kmph
Speed upstream = 16/4 = 4 kmph
Speed of current = 1/2 * (5-4)= 0.5 kmph

2. (d)
SP = 20, gain = 25%
CP = 100/125 * 20 = Rs 16
Now, CP = 16, gain = 40%
SP =  140/100 * 16 = 22.40
Increase = 22.4 – 20 = 2.4

3. (a)
Annual intetest = Rs 365 × 2 = Rs 730
Rate = 8%
Sum = (100 * 730)/8 = Rs 9125

4. (a)
(X + Y)’s 6 days’ work = 6 * (1/20 + 1/10) = 9/10
Remaining work = 1 - 9/10 = 1/10
1/10 work is done 2y Y in 10 * 1/10 = 1 day

5. (d)
Let the CP is Rs x.
Then, x * 110/100  = 990
x = 900
Now CP is Rs 900 and SP is 880.
% loss =  20/900 * 100 = 20/9%

6. (c)
Let the number of student is x out of that 40% have failed.
40/100 * x = 320
x = 320 * 100/40 = 800

7. (d)
CP = Rs 840 and SP = Rs 920
Gain = 920 – 840 = Rs 80
gain percentage = 80/840 * 100 = 9.52%

8. (b);
Amar’s salary is less than of Raj 2y
(R/100 + R * 100)% = (30/(100 + 30) * 100)%
(30/130 *100 )% = 300/13% = 23% APPROX

9. (d)
According to formula:  
Number of arrangements = (5-1)!/2 = 12

10. (b)
26/52 + 2/52 = 28/52 = 7/13

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Quant Quiz For SSC

1. The average age of 40 boys in a class is 15. The average age of a group of 18 boys in the class is 16 and the average age of another12 boys in the class is 14. What is the average age of the remaining boys in the class?
(1) 15•25 years 
(2) 14.4 years
(3) 14•75 years 
(4) None of these

2. Ruby invested an amount of Rs. 5,800 for 2 years. At what rate of compound interest will she get an amount of Rs. 6394•5 at the end of two years ?
(1) 5 p.c.p.a.  
(2) 4 p.c.p.a.
(3) 6 p.c.p.a.  
(4) 8 p.c.p.a.

3. A boat covers a distance of 30 km downstream in 2 hours while it takes 6 hours to cover the same distance upstream. How much time the boat will take to cover 90 km in still water?
(1) 6 hrs  
(2) 9 hrs
(3) 15 hrs  
(4) None of these

4. A lent Rs 5000 to B for 2 years and Rs 3000 to C for 4 years on simple interest at the same rate of interest and received Rs 2200 in all from both of them as interest. The rate of interest is
(1) 5%  
(2) 7%
(3) 8%  
(4) None of these

5. Train A and B travel to a place at a speed of 35 and 55 km/h respectively. If car B takes 7/2  hours  less time than A for the journey, the distance of the place is_
(1) 300.25 km 
(2) 400 km
(3) 350.565 km 
(4) 336.875 km


6. Two numbers are such that if the first is subtracted from six times the second, their difference becomes 71, and if the second be added to 7 times the first , their sum becomes 62. The two numbers are
(1) 19, 7  
(2) 13, 7
(3) 7, 13  
(4)17, 3


7. How much will be the compound interest to be paid on a principal amount of Rs 85,000/- after 3 years at the rate of 6 p.c.p.a?
(1) Rs 16623.36/- 
(2) Rs 16236.36/-
(3) Rs 16326.36/- 
(4) Rs 16632.36/-


8. Yesterday Mansi typed an essay of 5000 words at the speed of 60 words per minute. Today she typed the same essay faster and her speed was 15% more than yesterday. What is the approximate difference in the time she took to type yesterday and the time she took to type today?
(1) 20 minutes 
(2) 30 minutes
(3) 10 minutes 
(4) 40 minutes


9. To Finish a work, B will take three times as long as A and C together and C will take twice as long as A and B together. If the three persons A, B and C together can finish the work in 20 days , then how long will A take to finish the work alone?
(1) 30 days  
(2) 45 days
(3) 48 days   
(4) 60 days


10. A square park is surrounded from outside by a path of 5 meters width. If the area of the path is 1700sq meters, then what is the area of the park?
(1) 3600sq m 
(2) 4900sq m
(3) 5625sq m 
(4) 6400sq m


11. In how many different ways can the letters of word ‘PREVIOUS’ be arranged in such a way that the vowels always come together?
(1) 50400  
(2) 4840
(3) 3260  
(4) 2880

12. A person drove a certain distance by car the speed of 35 km/h and returned on cycle at the speed of 10 km/h, If the whole journey took 18 hours. Then what distance did he drive on car?
(1) 80 km  
(2) 120 km
(3) 140 km  
(4) 150 km

13. A builder decided to build a house in 50 days. He employed 150 men at the beginning and another 80 men after 20 days and completed the work in the stipulated time. If he had not employed the additional men, how many days behind schedule would it have been finished?
(1) 10 days  
(2) 12 days
(3) 15 days  
(4) 16 days

14. A dealer bought an item at 10% discount on its original price. He sold it at 35% more than the original price. What percentage profit did he get?
(1) 25%  
(2) 45%
(3) 22.5%  
(4) 50%

15. Price register an increase of 10% on food grains and 15% on other items of expenditure. If the ratio of expenditure of an employee on food grains and other items be 2:5, by how much should his salary be increased in order that he may maintain the same level of consumption as before? Assume that there is no saving our of his monthly salary of Rs 2590.
(1) 13.57%  
(2) 12%
(3) 13%  
(4) 18.42%

ANSWERS
1. (2)
Total students are 40 × 15 = 600
So, 18 x 16 + (12 + 14) = 456
Left student is 10 and their average is =600-456= 144÷ 10=14.4

2. (1)
The interest in 2 years is 594.5 which is 10.25% of 5800. Hence the rate of interest is 5% p.a.

3. (2)
Upstream speed = 5 km/hr
Downstream speed = 15 km/hr
Speed of boat in still water = (5 + 15)/2 = 10 km/hr
Required time = 90/10 = 9 hrs

4. (5)
Let the rate of interest is=x
(X * 5000 * 2)/100 + (3000 * 4 * x)/100 = 2200
x = 10%

5. (4)
Let Car A takes t hrs to reach  the place
Distance is same,
35 t = 55(t – 7/2)
T = 77/8
Distance = 35 * 77/8 = 336.87 km

6. (3)
Let the number  be X and Y
Then 6y – x = 71 and 7x + y = 62
 Solving the equation
X = 7,  y = 13

7. (2) C.I. = 85000 × (19.1016/100)
= Rs 16236.36 Approx.

8. (3) Difference of time = 5000/60 − 5000/(60 * 1.15)
= 5000/60 − 5000/69
= 83.33 – 72.46
= 10 min (Approx.)

9. (3)
3*B’s daily work= (A+C)’s daily work
4*B’s daily work = (A+B+C)’s daily work = 1/20 
B’s daily work = 1/80 
2*C’s daily work = (A+B)’s daily work
3*C’s daily work = (A+B+C)’s daily work = 1/20
C’s daily work= 1/60
A’s daily work= 1/20 - (1/80 + 1/60) = 1/48
A can finish the work in 48 days.


10. (4)
Let the side of park be=’x’
Area of path= 2{(x + 10)5 + 5x}

  
1700=2(10x+50)
x = (850 - 50)/10 = 80m 
Area =(80)^2=6400 sq.m

11. (4)
Total letters are ‘8’ and No of vowels = 4
So total no of ways=5! * 4! = 2880

12. (3) Let the distance be x km
Time taken by car = x/35 and time taken on cycle = x/10
x/10 + x/35 = 18
 
13. (4) ,Let 150 men complete the work in x days , work done by 150 men in 20 days +work done by 230 men in 30 days=1
20/x + (230 * 30)/150x = 1
x = 66 days 
So it is 66-50 = 16 days behind the schedule

14. (4)
Let the original price to be Rs 100.
So he bought it at 10% discount ie Rs 90 and sells it at 35% more than the original rate ie Rs 135.
Actual profit is 135-90=Rs 45
So % profit = 45/90 * 100 = 50%

15.(1)
By the method of allegation:

Or, (15  - x)/(x - 10) = 2/5
Or, 75- 5x=2x-20
Or, 7x=95
Or, x=13.57%

 

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