A milk vendor bought 28 litres of milk at the rate of ₹ 8.50 per litre. After adding some water he sold the mixture at the same price. If his gain is 12.5%, how much water did he add?
The minute hand of a clock overtakes the hour hand after every 72 minutes of correct time. How much time does the clock lose or gain in a day of normal time?
A thief steals a car parked in a house and goes away with a speed of 40 kmph. The theft was discovered after half an hour and immediately the owner sets off in another car with a speed of 60 kmph. When will the owner meet the thief?
A.
55 km from the owner's house and one hour after the theft
B.
60 km from the owner's house and 1.5 hours after the theft
C.
60 km from the owner's house and 1.5 hours after the discovery of the theft
D.
55 km from the owner's house and 1.5 hours after the theft
There are n zeros appearing immediately after the decimal point in the value of \( (0.2)^{25} \). It is given that the value of \( \log_{10} 2 = 0.30103 \). The value of n is
The ratio of the sum and difference of the ages of the father and the son is 11 : 3. Consider the following statements:
1. The ratio of their ages is 8 : 5.
2. The ratio of their ages after the son attains twice the present age will be 11 : 8.
Which of the statements given above is/are correct?
If \( \alpha \), \( \beta \) and \( \gamma \) are the zeros of the polynomial \( f(x) = ax^{3} + bx^{2} + cx + d \), then \( \alpha^{2} + \beta^{2} + \gamma^{2} \) is equal to
