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The average weight of X, Y and Z is 74 kg. If the average weight of X and Y be 68 kg and that of Y and Z be 78 kg, then the weight (in kg) of Y is ________.
In an exam of 300 marks a student gets 75 marks. If she had scored 6 more marks she would have attained passing percentage. What is the passing percentage?
Student score = 75
Passing score = 75+6 = 81
Passing %age = 81/300 × 100 = 27%
Which of the following statement(s) is/are TRUE?
I. (0.03/0.2) + (0.003/0.02) + (0.0003/0.002) + (0.00003/0.0002) = 0.6
II. (0.01) + (0.01)2 + (0.001)2 = 0.010101
The ratio of the income to the expenditure of a family is 10 : 7. If the family’s expenses are Rs.10,500, then savings of the family is :
Income of the family=(10/7) 10,500=15,000
Savings=15,000-10,500=4,500
A car covers 630 km in 20 hours. Calculate its average speed in meters/second?
Avg speed of a car = (630/20) x (5/18) = 35/4 = 8.75 m/s
The speeds of scooter, car and train are in the ratio of 1 : 4: 16. If all of them covers equal distance then the ratio of time to speed of each of the vehicle is respectively:
Since distance is constant. Therefore ratio of speeds of scooter, car and train
= 1 : 4 : 16
and therefore, ratio of time taken = 16 : 4 : 1
In the given figure, PQRS is a rectangle and a semicircle with SR as diameter is drawn. A circle is drawn as shown in the figure. If QR = 7cm, then what is the radius (In cm) of the small circle?
Find the third proportional to 10 and 25.
Let the third proportional be x
The ratio of the present age of Manoj to that of Wasim is 3 : 11. Wasim is 12 year younger than Rehana. Rehana’s age after 7 year will be 85 year. What is the present age of Manoj’s father, who is 25 year older than Manoj?
Let the present ages of Manoj and Wasim are 3x years and 11x year respectively
According to the question, 11x = 85 – 7 – 12
⇒ 11x = 66
∴ Present age of Manoj = 3 × 6 = 18 years
Hence, present age of Manoj’s father = 18 + 25 = 43 years.
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