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1. amesh travels 760 km to his hometown partly by train and partly by car. He takes 8 hrs, if he travels 160 km by train and the rest by car. He takes 12 minutes more if he travels 240 km by train and rest by car. Find the speed of the car
80 Kmph
90 Kmph
100 Kmph
110 Kmph
Hint : Form equations
160/x + 600/y = 8 * 60
240/x + 520/y = 8 * 60 + 12
where x and y are speed of train and speed of car.
2. A six digit number is formed by the digits 1, 2, 3, 4, 5, 6 without repetition. What is the probability that the number formed is divisible by 4?
1/30
4/15
1/10
1/5
Hint: A number is divisible by 4 only if the last two digits are divisible by four. so list out all the favourable cases where the
last 2 digits are divisible by four divide by 6P2 (permutation
of selecting the last 2 digits from the given 6 digits)
3. Shyam has a basket of mangoes. He gives 1/3rd of the total number to his sister, 1/4th of the remaining to his brother and then 11, 16, 21 and 26 to his mother, father, uncle and aunt respectively. He eats one and finds the basket empty. How many did he have originally?
150
300
450
75
4. If in a particular number system 9 is written as 12, 14 as 20 and 49 as 100 what will 100 be represented as?
200
152
202
236
5. a, b, c, d and e are five consecutive even numbers. What is the maximum power of 2 by which the product of the above numbers be necessarily divisible?
6
7
8
9
Hint : out of the 5 consecutive even nos 2 will be divisible by 4
80 Kmph
90 Kmph
100 Kmph
110 Kmph
Hint : Form equations
160/x + 600/y = 8 * 60
240/x + 520/y = 8 * 60 + 12
where x and y are speed of train and speed of car.
2. A six digit number is formed by the digits 1, 2, 3, 4, 5, 6 without repetition. What is the probability that the number formed is divisible by 4?
1/30
4/15
1/10
1/5
Hint: A number is divisible by 4 only if the last two digits are divisible by four. so list out all the favourable cases where the
last 2 digits are divisible by four divide by 6P2 (permutation
of selecting the last 2 digits from the given 6 digits)
3. Shyam has a basket of mangoes. He gives 1/3rd of the total number to his sister, 1/4th of the remaining to his brother and then 11, 16, 21 and 26 to his mother, father, uncle and aunt respectively. He eats one and finds the basket empty. How many did he have originally?
150
300
450
75
4. If in a particular number system 9 is written as 12, 14 as 20 and 49 as 100 what will 100 be represented as?
200
152
202
236
5. a, b, c, d and e are five consecutive even numbers. What is the maximum power of 2 by which the product of the above numbers be necessarily divisible?
6
7
8
9
Hint : out of the 5 consecutive even nos 2 will be divisible by 4
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