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- Question
- The ratio of two numbers is 4:7. If each of those numbers increased by 30, their ratio will become 5:8 . What is the average of these two numbers?
Options- A. 135
- B. 145
- C. 155
- D. 165
- Correct Answer
- 165
ExplanationLet the numbers be x and y.
According to question,
The ratio of two numbers is 4:7.
? x/y = 4/7
? 7x = 4y
? 7x - 4y = 0 ........................(1)
Again According to question,
If each of those numbers increased by 30, their ratio will become 5:8
(x + 30) / (y + 30) = 5/8
? 8(x + 30) = 5(y + 30)
? 8x + 240 = 5y + 150
? 8x - 5y = -90 ..........................(2)
Multiply 5 with equation (1) , we will get.
35x - 20y = 0 ..................(3)
Multiply 4 with equation (2), we will get.
32x - 20y = -360 ............(4)
Subtracts the Equation (4) from Equation (3). we will get,
35x - 20y - (32x - 20y) = 0 - (-360)
? 35x - 20y - 32x + 20y = 360
? 3x = 360
? x = 120
Put the value of x in equation (1) to get the value of y.
7x - 4y = 0
? 7(120) - 4y = 0
? 840 - 4y = 0
? 4y = 840
? y = 210
? Average of the numbers = (x + y)/2
put the vale of x and y.
? Average of the numbers = (120 + 210)/2
? Average of the numbers = 330/2
? Average of the numbers = 165 - 1. Out of 100 families in the neighborhood, 50 have radios, 75 have TVs and 25 have VCR. Only 10 families have all three and each VCR owner also has a TV. If some families have radio only, how many have only TV?
Options- A. 30
- B. 35
- C. 40
- D. 45 Discuss
- 2. A clock gains 10 minutes in every 24 hours. It is set right on Monday at 8 am. What will be the correct time on the following Wednesday, when the watch indicates 6 pm?
Options- A. 5 : 36 pm.
- B. 5 : 40 pm.
- C. 4 : 36 pm.
- D. None of these Discuss
- 3. At present Meena is eight times her daughter's age. 8 yr from now, the ratio of the ages of Meena and her daughter will be 10 : 3, respectively. What is Meena's present age?
Options- A. 32 yr
- B. 40 yr
- C. 36 yr
- D. Cannot be determined Discuss
- 4. Ramesh can row a certain distance downstream is 6 hours and return the same distance in 9 hours. If the speed of Ram, Ramesh in still water is 12 km/hr, find the speed of the stream.
Options- A. 2.4 km/hr
- B. 2 km/hr
- C. 3 km/hr
- D. Data inadequate Discuss
- 5. The sum of the ages of Yogesh, Prakash and sameer is 93 years. 10 years ago the ratio of their ages was 2 : 3 : 4. What is the present age of sameer?
Options- A. 32 years
- B. 24 years
- C. 34 years
- D. None of these Discuss
- 6. A man is five times as old as his son. four years later the sum of their ages will be 56 years. How old is the son at present?
Options- A. 12 years
- B. 5 years
- C. 6 years
- D. 8 years Discuss
- 7. Two trains of length 50 m and 65 m are moving in the same direction at 18 m/s and 17 m/s, respectively. Find the time taken by the faster train to cross the slower train.?
Options- A. 100 s
- B. 114 s
- C. 95 s
- D. 115 s Discuss
- 8. Raju decided to marry 3 yr after he gets a job. He was 17 yr old when he passed class 12th. After passing class 12th, he had completed his graduation course in 3 yr and PG course in 2 yr. He got the job exactly 1 yr after completing his PG course. At what age will he get married?
Options- A. 27 yr
- B. 26 yr
- C. 28 yr
- D. 23 yr Discuss
- 9. A father's age is three times the sum of the ages of his two children but 20 years hence his age will be equal to the sum of their ages. Then the father's age is?
Options- A. 30 years
- B. 40 years
- C. 35 years
- D. 45 years Discuss
- 10. If C's age is twice the average age of A, B and C, A's age is one half the average of A, B and C. If B is 5 years old, the average age of A, B and C is?
Options- A. 10 years
- B. 15 years
- C. 12 years
- D. 9 years Discuss
More questions
Correct Answer: 35
Explanation:
Let us assume that the N number of people have only TV.
According to question,
? (40 ? P) + P + 10 + 15 + (50 ? P) = 100
? 115 ? 2P + P = 100
? P = 115 ? 100 = 15
? Only TV = 75 ? 15 ? 10 ? 15 = 35
Correct Answer: 5 : 36 pm.
Explanation:
Correct Answer: 32 yr
Explanation:
Let age of daughter = N yr
? Age of Meena = 8N yr
Accounting to the question, (8N + 8)/(N + 8) = 10/3
? 24N + 24 = 10N + 80
? 14N = 56
? N = 4
Hence, Meena's present age = 4 x 8 = 32 yr
Correct Answer: 2.4 km/hr
Explanation:
? [(9 + 6)/(9 - 6)] x v = 12
? v = 2.4 km/hr
Correct Answer: None of these
Explanation:
Let the respective ages of Yogesh, Prakash, and Sameer 10 years's ago be 2x, 3x and 4 x years.
? Present age of Yogesh = (2x + 10 ) years
? Present age of Prakash = (3x + 10 ) years
? Present age of sameer = (4x + 10) years
According to question,
(2x + 10) + (3x + 10) + (4x + 10 ) = 93
? 9x + 30 = 93
? 9x = 63
? x = 7
? Present age of Sameer = 4x + 10 = 28 + 10 = 38 years .
Correct Answer: 8 years
Explanation:
Let the present age of man be x years and the age of his son be y years.
From 1st condition,
x = 5y .....(i)
From 2nd condition ,
(x + 4 ) + (y + 4) = 56
? x + y + 8 = 56
? x + y = 48 ... (ii)
Putting x = 5y in equation (ii)
5y + y = 48
? 6y = 48
? y = 8
? Age of son = 8 years
Correct Answer: 115 s
Explanation:
According to the formula.
Required time = (x + y)/(u - v)
Here , x = 50 m , y = 65 m , u = 18 m/s and v = 17 m/s
? Required time = (50 + 65)/(18 - 17) = 115/ 1 = 115 s
Correct Answer: 26 yr
Explanation:
? Age of Raju when he got the job = 17 + 3 + 2 + 1 = 23 yr
? Age of Raju at the time of marriage = 23 + 3 = 26 yr
Correct Answer: 30 years
Explanation:
Let the present age of father be x years and the sum of present ages of 2 sons be y years.
? x = 3y ...(i)
? (x + 20) = (y + 20 + 20) ...(ii) [20 will be added twice as for 2 children]
Solving (i) and (ii), we get
x = 30 years
Correct Answer: 10 years
Explanation:
Let the average age of A, B and C be N years.
? Total age of A, B and C = 3 x N = 3N years
Now, according to the question,
? 3N - (2N + N/2) = 5
? N = 10 years.
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