a)┬аRs.
Free Demo Classes
Register here for Free Demo Classes

Source: Safalta
2400b)┬аRs. 1800
c)┬аRs. 1200
d)┬аRs. 1500
2.┬аRaja and Kundan together can build a wall in 20 days, Kundan and Mahesh can build the same wall in 30 days and Mahesh and Raja can build the same wall in 24 days. In how many days can all three of them complete the same wall while working together?
a) 12
b) 16
c) 18
d) 24
3.┬аWhat is the remainder when (256)^47┬аis divided by 15?
a) 2
b) 1
c) 3
d) 4
4.┬аA train starts from a place A at 8 : 00 a.m. and arrives at another place B at 1 : 30 p.m. on the same day. If the speed of the train is 30 km/hr, then what will be the distance (in km) covered by the train?
a)┬а155 km
b)┬а185 km
c)┬а175 km
d)┬а165 km
5.┬аThe simple interest on a sum is 5/9 of the principal for 25 years. What is the rate (in percentage) of interest per annum?
a) 10/3%
b)┬а20/3%
c) 10/9%
d)┬а20/9%
6.┬аEvaluate (3 ├Ч 25 ) ├╖ 5 - 20 ├Ч 4 + 75
a) 5
b) 10
c) 15
d) 20
7.┬аRahulтАЩs salary is 40% more than MohitтАЩs salary. If RahulтАЩs salary is increased by 60% and MohitтАЩs salary is decreased by 20%, then RahulтАЩs salary will be how much percentage of MohitтАЩs salary?
a) 300%
b)┬а240%
c)┬а250%
d)┬а280%
8.┬аIf the profit on selling an article for Rs. 425 is the same as the loss on selling it for Rs. 355, then the cost price of the article is
a) 520
b)┬а390
c)┬а340
d)┬а350
9.┬аThe cost price of 25 books is equal to the selling price of 20 books. The profit percent is
a)┬а┬а30%
b)┬а┬а15%
c)┬а 20%
d)┬а 25%
10.┬аAverage weight of P and Q is 32 kg. Average weight of Q and R is 43 kg. Average weight of P and R is 51 kg. What is the average weight (in kg) of P, Q and R?
a)┬а42 kg
b)┬а44┬аkg
c) 36┬аkg
d)┬а40┬аkg
┬а
Solution:
1.
тЗТ Work done by Rahul in 8 days = 8 ├Ч (1/16) = 1/2
тЗТ Work done by Ravi in 8 days = 8 ├Ч (1/24) = 1/3
It means, Rahul and Ravi, done 1/2 and 1/3rd┬аof work, respectively, in 8 days
тЗТ Work done by kamlesh = {1 тАУ (1/2 + 1/3)} = 1 тАУ 5/6 = 1/6
тЗТ RahulтАЩs share: RaviтАЩs share : Kamlesh's share = 1/2 : 1/3┬а= 3 : 2
тЗТ KamleshтАЩs share = (1/6) ├Ч 9,000 = 1500
тИ┤ KamleshтАЩs share is Rs. 1500
2.
Work done by Raja and kundan in one day = (1/R) + (1/K) = 1/20
Work done by Mahesh and kundan in one day = (1/M) + (1/K) = 1/30
Work done by Raja and Mahesh in one day = (1/R) + (1/M) = 1/24
Adding the above three equations we get,
тЗТ 2{(1/R) + (1/K) + (1/M)} = [(1/20) + (1/30) + (1/24)] = 15/120 = 1/8
тЗТ (1/R) + (1/K) + (1/M) = 1/16
Work done by Raja, kundan and Mahesh in one day = (1/R) + (1/K) + (1/M) = 1/16
3.
We can write, (256)^47┬а= (16^2)^47┬а= 16^94
Now, when 16 is divided by 15, the remainder is 1
тИ┤ When 16^94┬аis divided by 15, the remainder is 1
┬а
4.
Time taken by train to reach B from A┬а= 11/2┬аhours
Distance travelled by the train = Speed ├Ч Time
тИ┤ Distance travelled by the train = 30 ├Ч 11/2 = 165 km
5.
Given that,
S.I = 5/9 P
We know that,
S.I = (P ├Ч R ├Ч T)/100
тЗТ 5/9P = (P ├Ч R ├Ч 25)/100
тЗТ 5/9 ├Ч 4 = R
тИ┤ R = 20/9%
6.
┬а
Simple multiplication 3 ├Ч 25 = 75. Bracket takes priority over division, multiplication, addition or subtraction.
Hence, (3 ├Ч 25┬а) ├╖ 5 - 20 ├Ч 4 + 75 = 75 ├╖ 5 - 20 ├Ч 4 + 75 = 15 - 20 ├Ч 4 + 75.
Multiplication takes priority over addition or subtraction.
Hence, 15 - 20 ├Ч 4 + 75 = 15 - 80 + 75.
Addition takes priority over subtraction.
Hence, 15 - 80 + 75 = 90 - 80 = 10
7.
┬а
Let MohitтАЩs original salary be 100
RahulтАЩs original salary (being 40% more than MohitтАЩs salary) = 100 + (40% of 100) = 100 + 40 = 140
If RahulтАЩs salary is now increased by 60%, then RahulтАЩs new salary = 140 + (60% of 140) = 140 + 84 = 224
If MohitтАЩs salary is decreased by 20%, then MohitтАЩs new salary = 100 - (20% of 100) = 100 - 20 = 80
To find RahulтАЩs salary is how much percentage of MohitтАЩs salary
тЗТ 224 = ? % of 80
тЗТ ? = (224/80) ├Ч 100% = 2.8 ├Ч 100% = 280%
тИ┤ Required Percentage = 280%
8.
┬а
Let the C. P. of the article be Rs.┬аxx
According to question,
425 - x┬а=┬аx┬атАУ 355
2x = 425 + 355 = 780
x┬а = 780/2
x = 390
9.
┬а
Let the cost price of each book be Rs. 1.
C. P. of 20┬аbooks = Rs. 20
S.P. of 20 books = C. P. of 25┬аbooks = Rs. 25
Profit percent┬а=[25тИТ20]/20 ├Ч 100┬а= 25%
10.
тИ╡ Average weight of P and Q is 32 kg
тЗТ Sum of their weight = 2 ├Ч 32 = 64
тЗТ P + Q = 64 kg (1)
Similarly,
Q + R = 86 kg (2)
P + R = 102 kg (3)
Adding equation (1), (2) and (3)
2P + 2Q + 2R = 64 + 86 + 102 = 252
тЗТ P + Q + R = 126 kg
тИ┤ Average weight of P, Q and R = (P + Q + R)/3 = 126/3 = 42 kg
┬а
┬а