Quantitative Aptitude Practice Mix Questions – Set 24

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Quantitative Aptitude Practice Mix Questions – Set 24
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
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
3. A starts business with a capital of Rs.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
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
5. The profit earned by selling an article for 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) 600
(b) 750
(c) 800
(d) Data inadequate
(e) None of these
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?
(a) Rs. 18765
(b) Rs. 15350
(c) Rs. 21555
(d) Rs. 13240
(e) None of these
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?
(a) 15/19
(b) 13/19
(c) 5/9
(d) 4/9
(e) None of these
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?
(a) 36
(b) 24
(c) 30
(d) 44
(e) None of these
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?
(a) 4 yr
(b) 5 yr
(c) 6 yr
(d) 7 yr
(e) None of these
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?
(a) Rs. 94032
(b) Rs. 36568
(c) Rs. 130600
(d) Can’t be determined
(e) None of these
11. A car starts running at the speed of 45 km per hour. The speed of the car increases by 3 km per hour at the end of every one hour. What will be the distance covered at the end of twelve hours from the start of the journey?
(a) 820 km 
(b) 738 km 
(c) 680 km
(d) 915 km
(e) None of these
12. Gaurav started a business investing Rs. 30000. After six months Karanveer joined him with Rs. 45000. After another six months Rajveer also joined them with Rs. 67500. The profit earned at the end of 3 years when Gaurav started the business should be distributed among Gaurav, Karanveer and Rajveer in the ratio of
(a) 4 : 5 : 6 
(b) 4 : 3 : 6 
(c) 5 : 4 : 7
(d) 6 : 7 : 9 
(e) None of these
13. The difference between a two-digit number and the number obtained by interchanging the digits is 54. The sum of the digits is 12 and the digit at tens place is bigger than the digit at the units place. What is the two-digit number?
(a) 84 
(b) 93 
(c) 66
(d) 75 
(e) None of these
14. In an examination, Arohi scored 35 marks less than Vidushi. Vidushi scored 65 more marks than Meena. Ruchika scored 115 marks, which is 20 marks more than Meena’s. Richa scored 108 marks less than the maximum marks of the test. What approximate percentage of marks did Richa score in the examination, if he got 67 marks more than Arohi?
a) 68%
b) 57%
c) 64%
d) 82%
e) None of these
15. Abhinav and Bindra can do a piece of work in 45 days and 40 days respectively. They began to do the work together but Abhinav leaves after some days and then Bindra completed the remaining work in 23 days. The number of days after which Abhinav left the work was:
(a) 7 days
(b) 10 days
(c) 9 days
(d) 15 days
(e) None of these


Solutions:
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.

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.

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

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

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

6. (d)
Rate=(12000×100)/(40000×3)=10%
Rs. Compound Interest=40000×(1+10/100)^3-40000 = 40000×(1331-1000)/1000=13240Rs.

7. (a);
Let fraction be x/y
ATQ,
(x+3x)/(y+y)=30/19
?76x=60y
?x/y=15/19

8. (a);
42×18=21×x
?No. of women x=(42×18)/21=36

9. (b);
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

10. (c);
Let total amount is Rs. ‘X’
?x-68357-25675=X × 28/100
?x=(94032×100)/72=130600 Rs.

11.(b)
Since, the speed of car is increasing constant i.e. in Arithmetic Progression,
where, first term = speed of car initially = 45 Km/hr
difference = constant increment = 3 km/hr
Number of terms = number of hours = 12 hours 
hence, total distance = Sum = n/2 [2a+(n-1)d]
total distance = (12/2)[2×45 + (12-1)*3]
=6× (90+ 33)= 6×[123]= 738 km

12.(a)
Reqd. Ratio of Profit
Gaurav : Karanveer : Rajveer
30000×36 : 45000×30 : 67500×24
= 108 : 135 : 162
= 12 : 15 : 18 = 4 : 5 : 6

13.(b)
Let the unit digit is ‘y’ and ten’s digit is x.
Hence, ATQ-
10*x + y – (10*y+ x) = 54
or, x – y = 6 …(1)
and, x + y = 12 …(2)
from both eqn, we get
x = 9, y = 3
hence, Number = 10*9 + 3 = 93

14.(c)
Ruchika’s marks= 115
Meena’s marks= 115 – 20 = 95
vidushi’s marks= 95 + 65= 160
Arohi’s marks=160 – 35= 125
Richa’s marks= 125+ 67= 192
Total maximum marks= 192 + 108= 300
Required percentage marks of Richa = (192/300)×100 = 64%

15.(c) 
(Abhinav + Bindra)’s 1 day’s work = (1/45)+(1/40)= 17/360
Work done by Bindra in 23 days= Remaining work = 23*(1/40) = 23/40
Now, work (17/40)part was done by both in =[(17/40)/(17/360)]= 9 days
hence, Abhinav left after 9 days.