1) Two pipes can fill a tank in 10 hours and 12 hours resp. while third pipe empties the full tank in 20 hours. If all the three pipes operate simultaneously, in how much time the tank will be filled?
A) 6.5
B) 7.5
C) 8.5
D) 7.2
E) none
2) A cistern can be filled in 9 hours but it takes 10 hours due to a leak in its bottom. If the cistern is full, then the time that the leak will take to empty it is:
A) 90
B) 80
C) 70
D) 95
E) none
3) A watermelon contains 85% water by its weight. If 30g of water evaporated then water is just 80% of the present weight. What was its weight at beginning?
A) 110g
B) 100g
C) 120g
D) 150g
E) none
4) what quantity of water must be added to 9liter of lotion contains 50% milk to make it 30% milk present?
A) 5
B) 6
C) 7
D) 8
E) none
5) A student gets an aggregate of 60% marks in five subjects in the ratio 10 : 9 : 8 : 7 : 6. If the passing marks are 50% of the maximum marks and each subject has the same maximum marks, in how many subjects did he pass the examination ?
a. 2
b. 3
c.4
d. 5
e. None
6) A dealer buys dry fruits at Rs. 100, Rs. 80 and Rs. 60 per kilogram. He mixes them in the ratio 3 : 4 : 5 by weight. And sells at a profit of 50%. At what price per kilogram does he sell the dry fruit?
a. Rs. 80
b. Rs. 100
c. Rs.95
d. None
7) The cost of diamond varies directly as the square of its weight. Once, this diamond broke into four pieces with weights in the ratio 1 : 2 : 3:4. when the pieces were sold, the merchant got Rs. 70,000 less. Find the original price of the diamond?
a. 1.4lakh
b. Rs. 2 lakh
c.Rs. 1 lakh
d. Rs. 2.1 lakh
E. None
8) in an exam a candidate got 20% of total marks and declared fail by 40 marks. Another candidate got 40% of total marks and passed by 120 marks. What is maximum marks of that exam?
A) 600
B) 700
C) 800
D) 900
E) none
9) A train can travel 50% faster than a car. Both start from point A at the same time.. and reach point B which is 120km from point A also at same time. If train halt for 15 min in a station.What is the speed of car?
A) 80
B) 160
C) 240
D) 120
E) none
10) in a town there is 9000 people living in the year 2014. If in 2015 male population increase 6% & female population increase by 8% then new population of that town become 9630 . What was the number of female in that town in 2014?
A) 3500
B) 4500
C) 5000
D) 2500
E) none
Explanation:
1) B
1/10+ 1/12 -1/20
=2/15=7.5
2) A
Empty 1-10/9=1/9 part in 10 hour
So 1 part in 9×10=90 hour
3) C
X×15%=(x-30)×20%
X=120g
4) B
9×50%=x×30%
X=15
Added water=15-9=6 lt
5) C
10+9+8+7+6=40 total
40/5=8avrg
60%=8point
50%=6.66point
So he passed in first 4 subject
6) D
100×3+80×4+60×5=920rs
For 5+4+3=12kg
Per kg SP= (920/12)×150%=115
7)C
1+2+3+4=10
10^2=100 original
1^2 + 2^2 + 3^2 +4^2= 1+4+9+16=30 after brk
100-30=70
70grm for 70000rs
100gm for 1 lakh
8) C
20%+40=40%-120
100%=800
9) B
Train : car=3:2
120/2x - 120/3x= 15/60
X=80
2x=160 car speed
10) B
Overall increase
(630/9000)*100=7%
6% 8%
7%
1 : 1
So male and female = 4500 & 4500
A) 6.5
B) 7.5
C) 8.5
D) 7.2
E) none
2) A cistern can be filled in 9 hours but it takes 10 hours due to a leak in its bottom. If the cistern is full, then the time that the leak will take to empty it is:
A) 90
B) 80
C) 70
D) 95
E) none
3) A watermelon contains 85% water by its weight. If 30g of water evaporated then water is just 80% of the present weight. What was its weight at beginning?
A) 110g
B) 100g
C) 120g
D) 150g
E) none
4) what quantity of water must be added to 9liter of lotion contains 50% milk to make it 30% milk present?
A) 5
B) 6
C) 7
D) 8
E) none
5) A student gets an aggregate of 60% marks in five subjects in the ratio 10 : 9 : 8 : 7 : 6. If the passing marks are 50% of the maximum marks and each subject has the same maximum marks, in how many subjects did he pass the examination ?
a. 2
b. 3
c.4
d. 5
e. None
6) A dealer buys dry fruits at Rs. 100, Rs. 80 and Rs. 60 per kilogram. He mixes them in the ratio 3 : 4 : 5 by weight. And sells at a profit of 50%. At what price per kilogram does he sell the dry fruit?
a. Rs. 80
b. Rs. 100
c. Rs.95
d. None
7) The cost of diamond varies directly as the square of its weight. Once, this diamond broke into four pieces with weights in the ratio 1 : 2 : 3:4. when the pieces were sold, the merchant got Rs. 70,000 less. Find the original price of the diamond?
a. 1.4lakh
b. Rs. 2 lakh
c.Rs. 1 lakh
d. Rs. 2.1 lakh
E. None
8) in an exam a candidate got 20% of total marks and declared fail by 40 marks. Another candidate got 40% of total marks and passed by 120 marks. What is maximum marks of that exam?
A) 600
B) 700
C) 800
D) 900
E) none
9) A train can travel 50% faster than a car. Both start from point A at the same time.. and reach point B which is 120km from point A also at same time. If train halt for 15 min in a station.What is the speed of car?
A) 80
B) 160
C) 240
D) 120
E) none
10) in a town there is 9000 people living in the year 2014. If in 2015 male population increase 6% & female population increase by 8% then new population of that town become 9630 . What was the number of female in that town in 2014?
A) 3500
B) 4500
C) 5000
D) 2500
E) none
Explanation:
1) B
1/10+ 1/12 -1/20
=2/15=7.5
2) A
Empty 1-10/9=1/9 part in 10 hour
So 1 part in 9×10=90 hour
3) C
X×15%=(x-30)×20%
X=120g
4) B
9×50%=x×30%
X=15
Added water=15-9=6 lt
5) C
10+9+8+7+6=40 total
40/5=8avrg
60%=8point
50%=6.66point
So he passed in first 4 subject
6) D
100×3+80×4+60×5=920rs
For 5+4+3=12kg
Per kg SP= (920/12)×150%=115
7)C
1+2+3+4=10
10^2=100 original
1^2 + 2^2 + 3^2 +4^2= 1+4+9+16=30 after brk
100-30=70
70grm for 70000rs
100gm for 1 lakh
8) C
20%+40=40%-120
100%=800
9) B
Train : car=3:2
120/2x - 120/3x= 15/60
X=80
2x=160 car speed
10) B
Overall increase
(630/9000)*100=7%
6% 8%
7%
1 : 1
So male and female = 4500 & 4500
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