CRT-Quiz-1

If the HCF of 408 and 1032 is expressed in the form of 1032m-408 x 5. What is the value of m?

The HCF of two numbers is 16 and their product is 3072, what is their LCM?

Rajesh scored 40 marks in a test getting 3 marks for each right answer and  losing 1  mark for each wrong answer. If 4 marks have been awarded for each correct answer and 2 marks have been deducted for each incorrect answer then Rajesh will score 50 marks. What is the number of questions in the test?

The students of a class are made to stand in rows. If 4 students are extra in each row, there would be two rows less. If 4 students are less to each row, there would be 4 more rows. What is the number of students in the class?

A chemist has one solution containing 50% acid and a. second one containing 25% acid. How many litre of 50% acid solution   should be used with the other solution to make 10 litre of 40% acid solution?

An aeroplane travelled a distance of 400km at an average speed. On the return journey the speed was increased by 40kmph, therefore the return journey took 30 minutes less than the onward journey. What is the average speed of the plane?

ABC is right angled triangle with angle B =90 degree. Also AB=6 cm and AC =8cm. A circle with centre “O” is inscribed inside the triangle. What is the value of the diameter of the inscribed circle?

Marbles of diameter 1.4 cm are dropped into a cylindrical beaker of diameter 7 cm containing some water. What is the number of marbles that should be dropped into the beaker so that the water level rises by 5.6 cm

What is the median of all possible values of x such that 1≤x ≤ 7, where x is an integer?

Two motorists start at the same time, one from Pune to Mumbai and the other from Mumbai to Pune. If they arrive at their destinations in 2 hours and 8 hours respectively after passing each other, how much faster is one driving than the other?

Twelve men working 10 hrs. a day, 8 women working 8 hrs. a day and 10 children working 8 hrs a day finish off a work in 5 days. Three men complet the same amount of work in 1 day, as would 4 women or 5 children when they work for equal number of hours per day. How many days will 20 children need to complete the job working 6 hrs a day?

A trademan bought two horses  and sold both of them for the same price each. He sold one horses at a gain of 9% an another at a loss of 9%. How much did he gain or loss is the whole transaction?

A hare pursued by a hound is 50 of her own leaps before him. When the hare takes 4 leaps, the hound takes 3. In one leap the hare goes 1.75  meters and the hound 2.75  meters. In how many leaps will the hound overtake the hare?

Normally it takes four hours for a train to travel from station A to station B. One day, due to minor trouble, the train stopped for 15 minutes and then had to reduce the speed by 10 kmph and so it took  of 0.75 of an hour more than normal. What is the distance from A to B?

Two stone masons are erecting a wall. After working together for 5.5 days, the mason who works faster leaves and the other one finishes the wall in 1.5 days more. If the work is to be executed by one mason alone, then the second mason will require 3 days more than the first. How much time will each mason take?