Q1.A, B, and C can complete a work alone in 20, 24, and 30 days respectively. They start working together. After 2 days, A leaves the work. Two days after A leaves, C also leaves the work. In how many total days will the work be completed?

Q2.A and B start a business with Rs. 16000 and Rs. 20000. After x months B left the business. After one year total profit is Rs. 3300 and share of A is Rs. 1800. Find the value of x?

Q3.Total surface area of sphere is 5544 m2. The volume of sphere is 8t. Find the value of t?

Q4.Ratio of age of A and B is 5:3. Ratio of age of A after 5 years and Age of B 5 years ago is 3:1. Find age of C if age of C is 10 years older than A?

Q5.Average marks of 25 students are 60. Marks of two students taken as 72 and 52 instead off 75 and 50. Find difference of old and new average?

Q6.A can finish the work alone in [x + 20] days. B can finish the work alone in [x + 10] days. A is 25% less efficient than B. If A works for 10 consecutive days, then takes a 1-day break, repeating this cycle until the work is done. Under this pattern, A finishes the task in [n + 3] days. Similarly, B also works 6 days continuously, then takes a 2-days break, and completes the task in [m + 2] days. D completes the same task in (m - 12) days C completes it in [n + 20] days. Based on this information, determine which of the following statements is true: I)B and C together complete the work in [x + 4] days. II) A and D together complete the work in [(n/2) – 3] days III) Sum of m and n is perfect cube number.

Q7.On a particular day, each of Alok, Sameer, and Amit sold three types of gadgets in their respective shops. Alok and Sameer sold an identical number of Type X gadgets while Sameer sold twice as many of Type Y gadgets as Alok. The ratio of the number of Type Z gadgets sold by Alok, Sameer, and Amit was 4:6:5, respectively. Each of the three sellers sold an identical number of Type X gadgets at different prices per unit. Assertion (A): It is possible that Alok sold each Type X gadget at a profit of Rs 5, each Type Y gadget at a profit of Rs 3, and each Type Z gadget at a loss of Rs 2, and made an overall profit of Rs 150; Sameer sold each Type X gadget at a profit of Rs 4, each Type Y gadget at a profit of Rs 2, and each Type Z gadget at a loss of Rs 1, and made an overall profit of Rs 200; and Amit sold each Type X gadget at a profit of Rs 3, each Type Y gadget at a loss of Rs 2, and each Type Z gadget at a profit of Rs 5, and made an overall profit of Rs 180. Reason (R): Framing and s

Q8.A car and a bike start from the same point and travel along a straight road. The car travels at a constant speed of 60 km/h and the bike at 40 km/h. After how much time will the car be 50 km ahead of the bike? Consider the following statements: Statement 1: The car starts 2 hours before the bike. Statement 2: The bike travels at a constant speed of 40 km/h. Statement 3: The car travels at a constant speed of 60 km/h.

Q9.Ravi and Rohan decided to run a 1200 m long race on a track as long as the length of the race. Which of the statement(s) below is (are) sufficient to conclude that Rohan caught up with Ravi when 1/4 of the track length still remained? Consider the following statements: Statement 1: Ravi is allowed to start 10 seconds before Rohan started running. Statement 2: Ravi ran at 9 m per second. Statement 3: Rohan ran at a speed of 12 m/s.

Q10.A Question is given below followed by two Statements 1 and 11. Question: If the average marks obtained by 110 students is 20, how many students have failed? Statement I: The average marks of failed students are 12. Statement II: The average marks of passed students are 22. Which one of the following is correct in respect of the above Question and the Statements?