Question.1. A milkman has three different qualities of milk. 403 gallons of 1st quality, 465 gallons of 2nd quality and 496 gallons of 3rd quality. Find the least possible number of bottles of equal size in which different milk of different qualities can be filled without mixing?
(a) 34
(b) 46
(c) 26
(d) 44
(e) None of these
Question.2. The average of marks obtained by 120 candidates was 35. If the average of marks of passed candidates was 39 and that of failed candidates was 15.the number of candidates who passed the examination is
(a) 100
(b) 110
(c) 120
(d) 150
(e) 175
Question.3. A starts business with a capital of `1200. B and C join with some investments after 3 and 6 months, respectively. If at the end of a year, the profit is divided in the ratio 2 : 3 : 5 respectively, what is B’s investment in the business?
(a) 2400
(b) 180
(c) 3600
(d) 6000
(e) 5500
Question.4. Out of the total production of iron from hematite, an ore of iron, 20% of the ore from washed away, and out of the remaining iron, only 25% if pure iron. If the pure iron obtained in a year from a mine of hematite was 80,000 kg, then the quantity of hematite mined from that mine in the year is
(a) 5,00,000 kg
(b) 4,00,000 kg
(c) 4,50,000 kg
(d) 7,50,000
(e) None of these
Question.5. The profit earned by selling an article for 900 is double the loss incurred when the same article is sold for `450. At what price should the article be sold to make 25% profit?
(a) 600
(b) 750
(c) 800
(d) Data inadequate
(e) None of these
Question.6. The simple interest accrued on an amount of Rs. 40000 at the end of three years is Rs. 12000. What would be the compound interest accrued on the same amount at the same rate in the same period?
(1)Rs. 18765
(2)Rs. 15350
(3)Rs. 21555
(4)Rs. 13240
(5)None of these
Question.7. If the numerator of a fraction is increased by 300% and the denominator is increased by 100%. The resultant fraction is 30/19 . What was the original fraction?
(1)15/19
(2)13/19
(3)5/9
(4)4/9
(5)None of these
Question.8. 42 women can do a piece of work in 18 days. How many women would be required to do the same work in 21 days?
(1)36
(2)24
(3)30
(4)44
(5)None of these
Question.9. The ages of Sulekha and Arunima are in the ratio of 9 : 8 respectively. After 5 yr the ratio of their ages will be 10 : 9. What is the difference in years between their ages?
(1)4 yr
(2)5 yr
(3)6 yr
(4)7 yr
(5)None of these
Question.10. Vishakha spent Rs. 68357 on the renovation for her home, Rs. 25675 on bying music system and the remaining 28% of the total amounts she had as cash with her. What was the total amount?
(1)Rs. 94032
(2)Rs. 36568
(3)Rs. 130600
(4)Can’t be determined
(5)None of these
Answers:
Answer.1.(d)
It is given that milk of
Ist quality = 403 gallons
IInd quality = 465 gallons
IIIrd quality = 496 gallons
Least number of bottles of equal size will be possible, when we have bottle having highest of largest size. Largest size having highest or largest size. Largest size bottle can be found by finding HCF of 403, 465 & 496.
403=13×31
465=15×31
496=16×31
HCF = 31
Total numbers of gallon required =13+15+16 = 44 gallons.
It is given that milk of
Ist quality = 403 gallons
IInd quality = 465 gallons
IIIrd quality = 496 gallons
Least number of bottles of equal size will be possible, when we have bottle having highest of largest size. Largest size having highest or largest size. Largest size bottle can be found by finding HCF of 403, 465 & 496.
403=13×31
465=15×31
496=16×31
HCF = 31
Total numbers of gallon required =13+15+16 = 44 gallons.
Answer.2.(a)
Let the number of candidates who passed=x.
Then, 39×x+15×(120-x)=120×35
? 24x=4200-1800
Or, x=2400/24, ?x=100.
Let the number of candidates who passed=x.
Then, 39×x+15×(120-x)=120×35
? 24x=4200-1800
Or, x=2400/24, ?x=100.
Answer.3.(a)
Profit ratio of A, B and C is (1200×12):(x×9):(y×6)=2:3:5
Taking first and second terms we get
1200×12:9x=2:3
1200×12×3=9x×2
?x=(1200×12×3)/18=2400
Profit ratio of A, B and C is (1200×12):(x×9):(y×6)=2:3:5
Taking first and second terms we get
1200×12:9x=2:3
1200×12×3=9x×2
?x=(1200×12×3)/18=2400
Answer.4.(b)
Let x kg ore is there
20% washed away so remaining is 80% i.e. 4/5 x
Out of 4/5 x, 25% is pure iron i.e. 1/5 x now
Rs.1/5 xis obtained from x kg
Then 1 kg is obtained from 5 kg
Rs. 80000 kg is obtained from 5×80000=400000 kg
Let x kg ore is there
20% washed away so remaining is 80% i.e. 4/5 x
Out of 4/5 x, 25% is pure iron i.e. 1/5 x now
Rs.1/5 xis obtained from x kg
Then 1 kg is obtained from 5 kg
Rs. 80000 kg is obtained from 5×80000=400000 kg
Answer.5.(b)
Let C.P. be Rs. x
900-x=2(x-450) ?3x=1800?x=600
C.P.=Rs.600, gain required=25%
? S.P.=Rs. (125/100×600)=Rs. 750
Let C.P. be Rs. x
900-x=2(x-450) ?3x=1800?x=600
C.P.=Rs.600, gain required=25%
? S.P.=Rs. (125/100×600)=Rs. 750
Answer.6.(4)
Rate=(12000×100)/(40000×3)=10%
Rs. Compound Interest=40000×(1+10/100)^3-40000 = 40000×(1331-1000)/1000=13240Rs.
Rate=(12000×100)/(40000×3)=10%
Rs. Compound Interest=40000×(1+10/100)^3-40000 = 40000×(1331-1000)/1000=13240Rs.
Answer.7.(1);
Let fraction be x/y
ATQ,
(x+3x)/(y+y)=30/19
?76x=60y
?x/y=15/19
Let fraction be x/y
ATQ,
(x+3x)/(y+y)=30/19
?76x=60y
?x/y=15/19
Answer.8.(1);
42×18=21×x
?No. of women x=(42×18)/21=36
42×18=21×x
?No. of women x=(42×18)/21=36
Answer.9.(2);
Let age of Sulekha and Arunima be 9x and 8x year.
Now, ATQ
(9x+5)/(8x+5)=10/9
?x=5
Hence, Difference=9x-8x=
x= 5 year
Let age of Sulekha and Arunima be 9x and 8x year.
Now, ATQ
(9x+5)/(8x+5)=10/9
?x=5
Hence, Difference=9x-8x=
x= 5 year
Answer.10.(3);
Let total amount is Rs. ‘X’
?x-68357-25675=X × 28/100
?x=(94032×100)/72=130600 Rs.
Let total amount is Rs. ‘X’
?x-68357-25675=X × 28/100
?x=(94032×100)/72=130600 Rs.
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