Maths Quiz 28/12/2015

#everydayquiz  10Q

1.What is the minimum number of square marbles required to tile a floor of length 5 metres 78 cm and width 3 metres 74 cm?

A.176

B.187

C.540

D.748

E.none of these

2.A number when divided by a divisor leaves a remainder of 24. When twice the original number is divided by the same divisor, the remainder is 11. What is the value of the divisor?

A.13

B.59

C.35

D.37

E.none of these

3.A train travelling 25 km an hour leaves Delhi at 9 a.m. and another train travelling 35 km an hour starts at 2 p.m. in the same direction. How many km from Delhi will they be together?

A 437 ½ km                    

B.436 ½ km

C.435 ½ km                    

D.434 ½ km

E.none of these

4.Without any stoppage a person travels a certain distance at an average speed of 80 kmph, and with stoppages he covers the same distance at an average of 60 kmph. How many minutes per hour does he stop?

A.25minutes                  

B.15 minutes

C.10 minutes  

D.26 minutes           

E.None of these

5.A person can row a boat d km upstream and the same distance downstream in 5 hours 15 minutes. Also, he can row the boat 2d km upstream in 7 hours. How long will it take to row the same distance 2d km downstream?

A.3/2 hours                      

B.7 hours

C.7 ( ¼)                           

D.7/2 hours

E.None of these

6.The profit earned by selling an article for Rs. 900 is double the loss incurred when the same article is sold for Rs. 450. At what price should the article be sold to make 25% profit?

A.Rs. 750                                    

B.Rs.700

C.Rs. 900                                   

D.Rs. 600

E.None of these

Directions (7-10): The following table gives the percentage distribution of population of five states, P, Q, R, S and  T on the basis of poverty line and also on the basis of sex. Study the table and answer the questions based on it.  

State	Percentage of population below poverty line	Proportion of Males and Females
		below poverty line	above poverty line
		M  : F	M : F
P	35	5 : 6	6 : 7
Q	25	3 : 5	4 : 5
R	24	1 : 2	2 : 3
S	19	3 : 2	4 : 3
T	15	5 : 3	3 : 2

7. What will be the number of females above poverty line in the State S if it is known that the population of state S is 7 million?

A. 3 million                                

B. 2.43 million

C. 1.33 million                      

D. 5.7 million

E 1.61 million

8. If the male population above poverty line for state R is 1.9 million, then the total population of state R is:

A 4.5 million                               

B 4.85 million

C 5.35 million                             

D 6.25 million                       

E 7.6 million

9. What will be the male population above poverty line for state P if the female population below poverty line for state P is 2.1 million?

A 2.1 million                               

B 2.3 million

C 2.7 million                               

D 3.3 million

E. 3.4 million

10. If the population of males below poverty line for state Q is 2.4 million and that for state T is 6 million, then the total populations of states Q and T are in the ratio:

A 1:3                                           

B 2:5

C 3:7                                           

D 4:9

E 5:12

Answers:

1.B
The marbles used to tile the floor are square marbles. Therefore, the length of the marble = width of the marble.
As we have to use whole number of marbles, the side of the square should a factor of both 5 m 78 cm and 3m 74. And it should be the highest factor of 5 m 78 cm and 3m 74.
5m78cm=578cm and 3m74cm=374cm.
The HCF of 578 and 374 = 34.

Hence, the side of the square is 34.

The number of such square marbles required =
(578×374)/(34×34)
=17×11= 187

2.D

3.A
Solution:
The first train has a start of 25 / 5 km and the second train gains ( 35 – 25 ) or 10 km per hour.
The second train will gain 25 x 5 km in  (25 x5) / 10 or 12 ½ hours.
The required distance from Delhi = 12 ½ x 35 km = 437 ½ km

4.B
Solution:
 Let the total distance be x km.
Time taken at the sped of 80 km/hr = x/80 hrs.
Time taken at the sped of 60 km/hr = x/60 hrs.
He rested for ( x/60 – x/80) hrs = 20x / 60 x 80 = x/240 hrs.
his rest per hour = x/240 ÷ x/60 = ¼ hrs. = 15 minutes.

5.D
Explanation: Let the speeds of boat and stream be x and y km/hr respectively.
Then, Rate downstream = (x + y) km/hr and Rate upstream = (x - y) km/hr
Given d / (x+y) + d / ( x-y ) =5 hrs 15 minutes = 21/4 hours
and 2d / (x+y) = 7 => d / (x+y)=7/4 => 2d / (x+y)=7/2
Hence, he takes 7/2 hours to row 2d km distance downstream.

6.A
7.B
8.D
9.D
10..B

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