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- Question
- In a class, the number of boys is more than the numbers of girls by 12% of the total strength. The ratio of boys to girls is?
Options- A. 11 : 14
- B. 14 : 11
- C. 25 : 28
- D. 28 : 25
- Correct Answer
- 14 : 11
ExplanationLet the number of boys and girls be x and y respectively. Then
From question, (x - y ) = 12% of (x + y)
? x/y = 3/25 (x + y )
? 25x - 25y = 3x + 3y
? 22x = 28y
? x / y = 28 / 22 = 14 / 11 - 1.
5 x 1.6 - 2 x 1.4 =? 1.3
Options- A. 0.4
- B. 1.2
- C. 1.4
- D. 4 Discuss
- 2. ( 0. 6 + . 7 + . 8 + . 3) =?
Options- A. 23 / 10
- B. 233 / 100
- C. 22 / 3
- D. 2.33 Discuss
- 3. A and B can complete a job in the 24 days working together. A alone can complete it in 32 days. Both of them worked together for 8 days and then A left. The number of days B will take to complete the remaining job is
Options- A. 16
- B. 32
- C. 64
- D. 128 Discuss
- 4. A and B each working alone can do a work in 15 days and 25 days, respectively. They started the work together but B left after some time and A finished the remaining work in 7 days. After how many days from the start did B leave?
Options- A. 3
- B. 5
- C. 7
- D. 9 Discuss
- 5. A train crosses a bridge of length 150 m in 15 s and a man standing on it in 9 s. The train is travelling at a uniform speed. Length of the train is?
Options- A. 225 m
- B. 200 m
- C. 135 m
- D. 90 m Discuss
- 6. The value of x in the equation
( x + 1 ) 2 - 3 ( x - 1 ) = 4 is : x 2 x
Options- A. -2
- B. 1 2
- C. -1
- D. 0 Discuss
- 7. In a group of 6 boys and 4 girls, four children are to be selected. In how many different ways can they be selected such that at least one boy should be there?
Options- A. 159
- B. 194
- C. 205
- D. 209
- E. None of these Discuss
- 8. Pipes A and B can fill a tank in 20 h and 30 h, respectively and pipe C can empty the full tank in 40 h. If all the pipes are opened together, how much time will be needed to make the tank full?
Options- A. 161/7 h
- B. 171/7 h
- C. 181/7 h
- D. 191/7 h Discuss
- 9. A man is paid ? 5 per h for regular working day and ? 8 per h overtime. A regular working day has 8 h and a regular week has 5 working days. If he earns ? 920 in 4 weeks, then what is the total number of hours that he worked assuming that he was present on all regular working days?
Options- A. 200 h
- B. 180 h
- C. 175 h
- D. 160 h Discuss
- 10. A man, a women and a boy can do a job in 3, 4 and 12 days , respectively. How many boys must assist one man and one women to complete the job in one and a half days?
Options- A. 12
- B. 6
- C. 3
- D. 1 Discuss
More questions
Correct Answer: 4
Explanation:
| Given Expression = | 8 - 2.8 | = | 5.2 | = | 52 | = 4. |
| 1.3 | 1.3 | 13 |
Correct Answer: 22 / 3
Explanation:
0.6 + . 7 + .8 + .3
= ( 6/9 + 7/9 + 8/9 + 3/9)
= 24 / 9
= 8 / 3
= 22/3
Correct Answer: 64
Explanation:
Let B will take N days to complete the remaining job.
According to the question
(1/A) + (1/B) = 1/24 and 1/A = 1/32
? 1/B = (1/24) - (1/32) = 1/96
? B = 96 days
According to the question,
8[(1/A) + (1/B)] + N x (1/B) = 1
? 8 x (1/24) + (N/96) = 1
? (1/3) + (N/96) = 1
? N/96 = 1 -1/3
? N = (2 x 96)/3 = 64
Hence, B complete the remaining job in 64 days
Correct Answer: 5
Explanation:
Let B left work after N days from the start.
According to the question,
N/25 + (N + 7)/15 = 1
? (3N + 5N + 35) / 75 = 1
? 8N = 75 - 35
? N = 40/8
? N = 5
Correct Answer: 225 m
Explanation:
Let the length of the train be L m.
According to the question,
L/9 = Speed ...(i)
and (L + 150)/15 = Speed ..(ii)
from Eqs. (i) and (ii) we get
L/9 = (L + 150)/15
? L/3 = (L + 150)/5
? 5L = 3L + 450
? L = 225 m
Correct Answer: -1
Correct Answer: 209
Explanation:
| ∴ Required number of ways |
= (6C1 x 4C3) + (6C2 x 4C2) + (6C3 x 4C1) + (6C4) | |||||||||||||||||||
| = (6C1 x 4C1) + (6C2 x 4C2) + (6C3 x 4C1) + (6C2) | ||||||||||||||||||||
|
||||||||||||||||||||
| = (24 + 90 + 80 + 15) | ||||||||||||||||||||
| = 209. |
Correct Answer: 171/7 h
Explanation:
Net part filed in 1 h = (1/20 + 1/30 - 1/40) = 7/120
Hence, the tank will be full in 120/7 = 171/7 h
Correct Answer: 175 h
Explanation:
Number of regular hours during 4 weeks = 8 x 5 x 4 = 160
Amount paid for regular working hours = 160 x 5 = ? 800
Balance left = (920 - 800) = ? 120
So, ? 120 is paid for his over time at ? 8 per h.
? Total number of overtime working hours = 120/8 = 15 h
Total working hours = (160 + 15) = 175 h
Correct Answer: 1
Explanation:
Portion of work completed by one man in 11/2 days.
i.e., 3/2 days = 3/(2 x 3) = 1/2
Portion of work completed by one women in 11/2 days.
i.e., 3/2 days = 3/(2 x 4) = 3/8
? Portion of work completed by boys = 1 - (1/2 + 3/8) = 1/8
Now, portion of work completed by each boy in 3/2 days = 3/(2 x 12) = 1/8
Hence, only one boys would be required.
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