Q1. Pipes A and B can fill a tank in 5 and 6 hours, respectively. Pipe C can empty it in 12 hours. The tank is half full. All the three pipes are in operation simultaneously. After how much time, the tank will be full?
(a) 3 (9/17) h
(b) 11 h
(c) 2 (8/11) h
(d) 1 (13/17) h
(e) 2 (3/17) h
Q2. A cistern has two taps (which fill it in 12 min and 15 min, respectively) and an exhaust tap. When all three taps are opened together, it takes 20 min to fill the empty cistern. How long will the exhaust tap take to empty it?
(a) 20 min
(b) 16 min
(c) 12 min
(d) 10 min
(e) 7 min
Q3. A cistern is filled up in 5 hours and it takes 6 hours when there is a leak in its bottom. If the cistern is full, in what time shall the leak empty it?
(a) 6 h
(b) 5 h
(c) 30 h
(d) 15 h
(e) 25 h
Q4. Pipe A and B running together can fill a cistern in 6 minutes. If B takes 5 minutes more than A to fill the cistern then the times in which A and B will fill the cistern separately will be, respectively:
(a) 15 min, 20 min
(b) 15 min, 10 min
(c) 10 min, 15 min
(d) 25 min, 20 min
(e) None of these
Q5. Two pipes can fill a tank in 10 hours and 12 hours respectively, while the third can empty it in 20 hours. If all the pipes are opened together, the tank will be filled in:
(a) 7 ½ hours
(b) 10 hours
(c) 8 hours
(d) 9 (1/10) hours
(e) 6 hours
Directions (6-10): Read the following information carefully and answer the questions based on it :
In 6 years, number of students taking admission and leaving from five different schools are given below:–
School →
|
A
|
B
|
C
|
D
|
E
| |||||
Years↓
|
Ad.
|
L
|
Ad.
|
L
|
Ad.
|
L
|
Ad.
|
L
|
Ad.
|
L
|
1994
|
1025
|
—
|
950
|
—
|
1100
|
—
|
1500
|
—
|
1450
|
—
|
1995
|
230
|
120
|
350
|
150
|
320
|
130
|
340
|
150
|
250
|
125
|
1996
|
190
|
110
|
225
|
115
|
300
|
150
|
300
|
160
|
280
|
130
|
1997
|
245
|
100
|
185
|
110
|
260
|
125
|
295
|
120
|
310
|
120
|
1998
|
280
|
150
|
200
|
90
|
240
|
140
|
320
|
125
|
340
|
110
|
1999
|
250
|
130
|
240
|
120
|
310
|
180
|
360
|
140
|
325
|
115
|
Note: Ad→ admitted,
L → Left
Q6. What is the average number of student studying in all the five schools in 1996 ?
(a) 1278
(b) 1494
(c) 1526
(d) 1452
(e) None of these
Q7. What is the number of students studying in school D in 1998 ?
(a) 2200
(b) 2600
(c) 1950
(d) 2250
(e) None of these
Q8. Number of students leaving school C from the year 1994-1999 is approximately what percentage of students taking admission in same school in same years ?
(a) 27.87 %
(b) 26.39 %
(c) 28 %
(d) 28.65 %
(e) 29.34 %
Q9. Number of students taking admission between years 1995-1999 in school D is approximately what percent more/less than student admitted in school B in same years?
(a) 29.13% less
(b) 35.50% more
(c) 31.98% less
(d) 33.73% less
(e) 34.58% more
Q10. What is the ratio of number of students in C in 1999 and number of students in E in 1998 ?
(a) 429 : 123
(b) 123 : 127
(c) 361 : 429
(d) 17 : 97
(e) None of these
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MAHENDRA GURU