1.A pipe can empty a tank in 40
minutes. A second pipe with diameter twice much as that of the first is also
attached with the tank to empty it. The two together can empty the tank in ;
(a)8.5 minutes
(b)13.33 minutes
(c)30 minutes
(d)8 minutes
(e)None of these
2.A can do 1/2 of a piece of work in
5 days. B can do 3/5 of the same work in 9 days and C can do 2/3 of that work
in 8 days. In how many days can three of them together do the work?
(a)3
(b)5
(c)4.5
(d)4
(e)None of these
3.If the marked price of 30 articles
is equal to selling price of 40 articles, then find the % discount?
(a)25%
(b)33.33%
(c)75%
(d) 20%
(e)None of these
4.The length of one side of a
rhombus is 6.5 cm and its altitude is 10 cm. If the length of its one diagonal
is 26 cm, the length of the other diagonal will be :
(a)5 cm
(b)6.5 cm
(c)10 cm
(d)26 cm
(e)None of these
5.The average age of 30 boys in a
class is 15 Years. One boy, aged 20 years, left the class, but two news boys
come in his place whose ages differ by 5 years. If the average age of all the
boys now in the class becomes 15 years, the age of the younger new comer is :
(a)20 year
(b)15 year
(c)40 year
(d)8 year
(e)None of these
6.The areas of two similar triangles
are 81 cm2 and 49 cm2 respectively. The ratio of their: corresponding heights
is :
(a)9 : 7
(b)7 : 3
(c)3 : 7
(d)81 :49
(e)None of these
7.If a :b = 2 : 3 and b : c = 4 : 5,
find a^2: b^2 :c^2: ?
(a)4 : 9 : 45
(b)16 : 36 : 45
(c)16 : 36 : 20
(d)4 : 36 : 40
(e)None of these
8.A dealer offer a discount of 10%
on the marked price of an article and still makes a profit of 20%. If its
marked price is Rs. 800, then the cost price of the article is :
(a)Rs.900
(b)Rs.800
(c)Rs.700
(d)Rs.600
(e)None of these
9.A train passes a man standing on a
platform in 8 second and also crosses the platform which is 264 metres long in
20 seconds. The length of the train (in metre) is :
(a)188
(b)176
(c)170
(d)96
(e)None of these
10.The difference between the simple
and compound interest on a certain sum of money at 5% rate of interest per
annum for 2 years is Rs. 15, and then find the sum?
(a)Rs.6500
(b)Rs.5500
(c)Rs.6000
(d)Rs.7000
(e)None of these
Answers with
Explanation !!!!!!!!!
1.(a) Here volume of water emptied by the second pipe will be 4 times to that of first Hence, Time take will be 1/4 of the first pipe. When both the pipes are open the part of the tank emptied in 1 minute= 1/8 Hence the tank will be emptied in 8 minutes.
2.(d) (A+B+C) one day’s work =1/10+ 1/15+1/12= 1/4
Hence together they complete the work in 4 days
3.(a) MP of 30 = SP 40
MP/SP = 40/30
Discount = (10/40)*100= 25%
4.(a) Area =base X height =6.5X10 = 65cm2
Let the diagonal of rhombus be d1 and d2.
Area = 1/2 d1d2 = 65
= 1/2X 26X d2 = 65
d2 = 5
5.(b) Let the age of younger one be x and other x+5
so, x+(x+5) = 35
x= 15
6.(a)
7.(e) a:b:c = 8:12:15
a^2: b^2 :c^2: =64:144:225
8.(d)
9.(b) (T+264)/T = 20/8
T = 176
10.(c) difference = PR^2/100^2
1.(a) Here volume of water emptied by the second pipe will be 4 times to that of first Hence, Time take will be 1/4 of the first pipe. When both the pipes are open the part of the tank emptied in 1 minute= 1/8 Hence the tank will be emptied in 8 minutes.
2.(d) (A+B+C) one day’s work =1/10+ 1/15+1/12= 1/4
Hence together they complete the work in 4 days
3.(a) MP of 30 = SP 40
MP/SP = 40/30
Discount = (10/40)*100= 25%
4.(a) Area =base X height =6.5X10 = 65cm2
Let the diagonal of rhombus be d1 and d2.
Area = 1/2 d1d2 = 65
= 1/2X 26X d2 = 65
d2 = 5
5.(b) Let the age of younger one be x and other x+5
so, x+(x+5) = 35
x= 15
6.(a)
7.(e) a:b:c = 8:12:15
a^2: b^2 :c^2: =64:144:225
8.(d)
9.(b) (T+264)/T = 20/8
T = 176
10.(c) difference = PR^2/100^2
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