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- Question
P can complete a work in 12 days working 8 hours a day. Q can complete the same work in 8 days working 10 hours a day. If both P and Q work together, working 8 hours a day, in how many days can they complete the work?
Options- A.
5 5 11 - B.
5 6 11 - C.
6 5 11 - D.
6 6 11 - Correct Answer
-
5 5 11
ExplanationP can complete the work in (12 x 8) hrs. = 96 hrs.Q can complete the work in (8 x 10) hrs. = 80 hrs.
∴ P's1 hour's work = 1 and Q's 1 hour's work = 1 . 96 80 (P + Q)'s 1 hour's work = ❨ 1 + 1 ❩ = 11 . 96 80 480 So, both P and Q will finish the work in ❨ 480 ❩ hrs. 11 ∴ Number of days of 8 hours each = ❨ 480 x 1 ❩ = 60 days = 5 5 days. 11 8 11 11
More questions
- 1. The product of two consecutive odd number is 6723. What is the greater number?
Options- A. 89
- B. 85
- C. 91
- D. 83 Discuss
Correct Answer: 83
Explanation:
Let two consecutive odd number be (A + 1) and (A + 3).
According to the question.
(A + 1) (A + 3) = 6723
? A2 + 3A + A + 3 = 6723
? A2 + 4A + 3 - 6723 = 0
? A2 + 4A - 6720 = 0
? A2 + 84A - 80A - 6720 = 0
? A(A + 84) - 80 (A + 84) = 0
? (A - 80) (A + 84) = 0
? A = 80, (A = ? - 84)
Hence, the greater number = 80 + 3 = 83- 2. Average value of property of three persons A, B, C is ? 11111 crore. The property of C is as less as the property of A is greater than the average property of both C and A. The value of property of B is.
Options- A. 110 crore
- B. 11211 crore
- C. 11111 crore
- D. 21410 crore Discuss
Correct Answer: 11111 crore
Explanation:
( A + B + C ) / 3 = 11111 ....(i)
Also, ( A+C ) / 2 = 11111 ....(ii)
From Eqs. (i) & (ii), we get
B = ? 11111 crore
- 3. The number of digits in the numeral for 2 64?
Options- A. 18 digit
- B. 19 digit
- C. 20 digit
- D. 21digit Discuss
Correct Answer: 20 digit
Explanation:
? x = 264
? log x = log 264
? log x = 64 log 2
= 64 x .3010 = 19.264
? No.of digits = 19 + 1 = 20- 4. 36800 - 9999 - 3333 - 66 =?
Options- A. 30200
- B. 27912
- C. 23402
- D. 24102 Discuss
Correct Answer: 23402
Explanation:
36800 - 9999 - 3333 - 66 = 36800 - ( 9999 - 3333 - 66)
= 36800 - 13398
= 23402- 5. An accurate clock shows 8 o'clock in the morning. Through how may degrees will the hour hand rotate when the clock shows 2 o'clock in the afternoon?
Options- A. 144°
- B. 150°
- C. 168°
- D. 180° Discuss
Correct Answer: 180°
Explanation:
Angle traced by the hour hand in 6 hours = ❨ 360 x 6 ❩ ° = 180°. 12 - 6. A train travels 100 meters at 70 km hour. A man is running at 10 km per hour in the same direction. What time the train will pass the man?
Options- A. 6 seconds
- B. 62/3 seconds
- C. 7 second
- D. 8 second Discuss
Correct Answer: 6 seconds
Explanation:
Relative speed of the train
= (70 - 10)
= 60 km/hr
= (60 x 5/18)
= 50/3) m/sec.
? Time taken by the train to pass the man
= (100 x 3/50) = 6 sec.- 7. 8 litres are drawn from a cask full of wine and is then filled with water. This operation is performed three more times. The ratio of the quantity of wine now left in cask to that of water is 16 : 65. How much wine did the cask hold originally?
Options- A. 18 litres
- B. 24 litres
- C. 32 litres
- D. 42 litres Discuss
Correct Answer: 24 litres
Explanation:
Let the quantity of the wine in the cask originally be x litres.Then, quantity of wine left in cask after 4 operations = [ x ❨ 1 - 8 ❩ 4 ] litres. x ∴ ❨ x(1 - (8/x))4 ❩ = 16 x 81 ⟹ ❨ 1 - 8 ❩ 4 = ❨ 2 ❩ 4 x 3 ⟹ ❨ x - 8 ❩ = 2 x 3 ⟹ 3x - 24 = 2x
⟹ x = 24.
- 8. What percent of 7.2 kg is 18 gms?
Options- A. .025%
- B. .25%
- C. 2.5%
- D. 25% Discuss
Correct Answer: .25%
Explanation:
7.2 kg = 7.2 x 1000000 gm = 7200000 gms
Required percentage = (18/7200000) x 100 % = 0.25%- 9. Find the cube root of 19683.
Options- A. 25
- B. 26
- C. 28
- D. 27 Discuss
Correct Answer: 27
Explanation:
In 19683, 19 lies between 23 and 33, so left digit is 2 and 683 ends with 3, so right digit is 7.
thus 27 is a cube root of 19683.- 10. A cost of cultivating a square field at a rate of ? 135 per hectare is ? 1215. The cost of putting a fence around it at the rate of 75 paise per meter wouldbe
Options- A. ? 360
- B. ? 810
- C. ? 900
- D. ? 1800 Discuss
Correct Answer: ? 900
Explanation:
Area of the field =1215/135 = 9 hec
= 90000 m2 [1 hec =10000 m2]
? Side of the field = ?90000 = 300 m
Perimeter of the field = 4 x 300 = 1200 m
Now, cost of putting a fence around field = (1200 x 75)/100 = ? 900
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