1.The monthly rent of a shop of dimension 18 feet × 22 feet is Rs. 2244. What is the annual rent per square foot of the shop?
(a) Rs. 52/3
(b) Rs. 51/16
(c) Rs. 34
(d) Rs. 68
2.The width of a rectangle is 10 meter and its area is 150 square meter. If length of the rectangle is increased then its new area is 11/3 times of the original area. What is the new perimeter of the rectangle?
(a) 48 m
(b) 52 m
(c) 54 m
(d) 60 m
(e) None of these
3.A hemispherical bowl is made of 0.5 cm thick steel. Inner radius of the bowl is 4 cm. The volume of steel used in making the bowl is
(a) 55.83 cm3
(b) 56.83 cm3
(c) 113.67 cm3
(d) 58.83 cm3
(e) None of these
4.The bases of a hemisphere and a cone are equal. If their heights are also equal then ratio between their curved surface area is—
(a) 1 : √2
(b) √2 ∶1
(c) 1 : 2
(d) 2 : 1
(e) None of these
5.4 litres of water is mixed in certain amount of pure milk whose cost is Rs. 3 per litre. If the dishonest milkman earns a profit of 20% by selling the mixture at initial price then what is the quantity of pure milk obtained by the customer?
(a) 24
(b) 20
(c) 18
(d) 25
(e) None of these
6.A bullock-cart travels 24 kilometers in 3 hours and an another bullock-cart travels 120 kilometers in 2 hours. What will be the ratio of their speeds?
(a) 2 : 15
(b) 1 : 5
(c) 2 : 3
(d) 3 : 2
(e) None of these
7.Present birth rate is 32 per thousand while death rate is 11 per thousand. What will be the percentage increase in the rate of population?
(a) 0.21%
(b) 21%
(c) 0.021%
(d) 2.1%
(e) None of these
8.The population of a city increases by 4% per year but due to migration it decrease by 1% per years. What will be the percentage increase in population in 3 years?
(a) 9%
(b) 9.27%
(c) 27%
(d) 12%
(e) None of these
9.A cricket player whose bowling average was 24.85 runs per wicket, takes 5 wicket for 52 runs in a match. Due to this his average decreases by 0.85. What will be the number of wickets taken by him till the last match?
(a) 64
(b) 72
(c) 85
(d) 96
(e) None of these
10.The average annual income (in Rupees) of some agriculture labours is S and the average annual income of some other labours is T. The number of agriculture labours is 11 times more than that of other labours. Then what will be the average monthly income (in Rupees) of all the labours?
(a) (S+11T)/12
(b) (S+T)/2
(c) (11S+T)/12
(d) (11S+T)/144
(e) None of these
11.A sum of Rs. 2900 amounts to Rs. 3422 in 3 years. Had the rate of interest be 3% higher then what would the sum amount in the same time period?
(a) Rs. 4465
(b) Rs. 3683
(c) Rs. 3596
(d) Data inadequate
(e) None of these
12.Mukesh borrowed a sum of Rs. 10000 at simple interest from a bank. After two years he takes Rs. 12000 more as loan and discharge all the debt at the end of 3 years depositing Rs. 27160 to the bank. What is the rate of interest per annum?
(a) 5%
(b) 6%
(c) 8%
(d) 10%
(e) None of these
13.The ratio of the present ages of Ram and Rahim is 3 : 2. The ratio of the present ages of Rahim and Aman is 5 : 2. What is the ratio of the present ages of Ram and Aman?
(a) 4 : 15
(b) 15 : 4
(c) 9 : 5
(d) Cannot be determined
(e) None of these
14.The present age of Suraj is 6 times Vijay’s age. The present age of Vijay’s 20 years less than Suraj’s present age. What is the present age of Suraj?
(a) 20 years
(b) 22 years
(c) 18 years
(d) 16 years
(e) None of these
15.A can do a work in 60 days. He works for 15 days and later B alone completes the work in 30 days. In what time will they together complete the work?
(a) 24 days
(b) 25 days
(c) 30 days
(d) 32 days
(e) None of these
Answers:
1.(d); Rent per square foot per year=2244/(18×22)×12=(102×12)/18=(102×2)/3=Rs.68
2. (d); Let length of new rectangle be x m
Then x×10=150×4/3=200 or, x=20 m
Hence new perimeter=2(10+20)=60 m
3.(b); Required volume=2/3 π(R^3-r^3 )=2/3 π((4.5)^3-4^3 )
=2/3×22/7×27.125=(cm)^3=56.83 cm^3
4.(b); Required ratio=(2πr^2)/πrl=2r/l=2r/√(r^2+r^2 )=2r/(√2 r)=√2/1
5. (b); Short Method: 4 litre≡20% of total amount
or, 4×100/20≡total amount or, total amount=20 litre
6.(a); The speed of first bullock cart=24/3=8 km/h
The speed of second bullock cart=120/2=60km/h
Required ratio= 8 : 60=2 : 15
7.(d); Increase in population per thousand=32-11=21
Required percentage increase=21/1000×100%=2.1%
8.(b); Actual increase in population=3%
Let, earlier population=100 then the population after 3 years
=100(1+3/100)^3=109.2727
∴Required percentage=9.27%
9.(c); Let the player took x wickets at the average of 24.85
Then 24.85×x+52=24(x+5) or, 0.85x=68 or, x=80
Total wickets=80+5=85
10.(d); Let the number of another labour=x
The number of agriculture labour =11x
Total annual income=11x×S+x×T
Average annual income=(11S+T)x/12x=(11S+T)/144
Average monthly income=(11S+T)/(12×12)=(11S+T)/144
11.(b); If the rate is 3% more then (2900×3×3)/100=Rs.261 as interest will incurred.
So, new amount=3422+261=Rs. 3683
12.(b); Rs.10,000 for 5 years and Rs. 12,000 for 3 years
So, 10000+(10000×5×r)/100+12000+(12000×3×r)/100=27160
Or, 86r =516 or, r=6≡6%
13.(b); (Age of Ram)/(Age of Rahim)=3/2×5/5=15/10
(Age of Rahim)/(Age of Aman)=5/2=10/4;
∴(Age of Ram)/(Age of Aman)=15/4=15∶4
14.(e); If the age of Vijay is x years then the age of Suraj is 6x years
From the question, 6x-x=20⟹x=4
∴Present age of Suraj =6×4=24 years
15.(a); Let B alone can complete a work in t days then 15/60+30/t=1
Or, 30/t=1-1/4=3/4 or, t=40
So, required time=(40×60)/(40+60)=24 days
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