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- Question
- 4/7 of a pole is in the mud. When 1/3 of it is pulled out, 250 cm of the pole is still in the mud. Find the full length of the pole .
Options- A. 1000
- B. 1100
- C. 950
- D. 1050
- Correct Answer
- 1050
ExplanationLet us assume length of pole is L.
Length of the pole in Mud is = L x 4/7 = 4L/7
Length of the Pole which is pulled out = L x 1/3 = L/3
Length of the pole is still in mud = Length of the pole in Mud - Length of the Pole which is pulled out
Length of the pole is still in mud = 4L/7 - L/3
According to question,
Length of the pole is still in mud = 250
4L/7 - L/3 = 250
(4L x 3 - L x 7)/7 x 3 = 250
12L - 7L = 250 x 21
5L = 250 x 21
L = 250 x 21/5
L = 50 x 21
L = 1050 - 1. The greatest possible length which can be used to measure exactly the lengths 7 m, 3 m 85 cm, 12 m 95 cm is:
Options- A. 15 cm
- B. 25 cm
- C. 35 cm
- D. 42 cm Discuss
- 2. 5 dozen toys are packed in a box and 98 boxes are kept in a tempo. How many tempos can lift 29400 toys in one round?
Options- A. 4
- B. 5
- C. 7
- D. 6 Discuss
- 3. 1, 2, 6, 15, 31, 56, 91
Options- A. 31
- B. 91
- C. 56
- D. 15 Discuss
- 4. A man 8 km/hr in still water. If the river is running at 2 km/hr, it taken 32 minutes to row to a place and back. How for is the place?
Options- A. 1.5 km
- B. 2.5 km
- C. 2 km
- D. 3 km Discuss
- 5. Find the sum of first 84 even numbers
Options- A. 7140
- B. 7540
- C. 6720
- D. 8832 Discuss
- 6. H.C.F of 42, 63 and 140 is?
Options- A. 14
- B. 9
- C. 21
- D. 7 Discuss
- 7. Calculate the average of the cubes of first five natural numbers.
Options- A. 55
- B. 65
- C. 45
- D. 35 Discuss
- 8. A train 240 m long passes a pole in 24 seconds. How long will it take to pass a platform 650 m long?
Options- A. 65 sec
- B. 89 sec
- C. 100 sec
- D. 150 sec Discuss
- 9. In the given figure, In a ? ABC , ?B = ? C. If AM is the bisector of ? BAC and AN ? BC, then ? MAN is equal to :
Options- A. 1 (?B + ?C) 2
- B. 1 (?C- ?B ) 2
- C. ?B + ?C
- D. 1 (?B - ?C) 2 Discuss
- 10.
The value of (0.96)3 - (0.1)3 is: (0.96)2 + 0.096 + (0.1)2
Options- A. 0.86
- B. 0.95
- C. 0.97
- D. 1.06 Discuss
More questions
Correct Answer: 35 cm
Explanation:
Required length = H.C.F. of 700 cm, 385 cm and 1295 cm = 35 cm.
Correct Answer: 5
Explanation:
Correct Answer: 91
Explanation:
Last number of given series must be 92 not 91.
Correct Answer: 2 km
Explanation:
? D/(8 - 2) + D/(8 + 2) = 32/60
? D/6 + D/10 = 32/60
? 10D + 6D = 32
? D = 2 km
Correct Answer: 7140
Explanation:
Sum of first n even numbers = n( n +1 )
Given n = 84
? Required sum = 84 ( 84 + 1 )
= 84 x 85
= 7140
Correct Answer: 7
Explanation:
H.C.F. of 42 and 63 is 21.
? H.C.F of 21 and 140 is 7
? H.C.F. of 42, 63 and 140 is 7
Correct Answer: 45
Explanation:
As per the formula,
Average of the cubes os 1st 'n' natural numbers= n(n+1)2/4
where, n= 5.
? Required average = 5(5+1)2/4
= (5 x 36)/4 = 5 x 9= 45
Correct Answer: 89 sec
Explanation:
| Speed = | ❨ | 240 | ❩m/sec = 10 m/sec. |
| 24 |
| ∴ Required time = | ❨ | 240 + 650 | ❩sec = 89 sec. |
| 10 |
Correct Answer: 1 (?B - ?C) 2
Explanation:
Correct Answer: 0.86
Explanation:
| Given expression |
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