Quantitative Ap...

Which of the following statement/s is/are true?

I: The selling price of the book if the shopkeeper wants to earn the profit of (L + P)%, is Rs. 1044.

II: If the marked price of the book is 2P% more than that of cost price and L% of discount is given on its marked price, then the selling price of the book will be Rs. 864.

III: If the ratio of the cost price to selling price of the book is 10:7, then the loss on the book will be (P + 10)%.

In a race of 2700 metres, Rupal beats Shikha by 200 metres, while in another race of 3300 metres, Sharmila beats Rubi by 300 metres. Speed of Shikha and Rubi is same. (Assume that Rupal, Shikha, Sharmila and Rubi run with uniform speed in all the events). If Rupal and Sharmila participate in a race of 4400 metres, then which one of the following is correct?

The values given in which of the following options will fill the blanks in the same order in which it is given to make the statement true:

I. 400, 30240

II. 800, 31320

III. 1200, 32380

Rupal's performance in a unit test is 17 marks below the passing marks. If he had scored 35 marks more than the passing marks, he would have managed to just get a C grade. The ratio of marks required to achieve a C grade to that of a B grade is 5:6. Moreover, the passing marks needed for the test are 60% of the marks required for a B grade. It is stated that to earn an A grade, a student must receive 40% more marks than the marks needed for a B grade. What is the total marks for the unit test if Rupal needs to achieve 84% marks to obtain an A grade?

'P', 'Q', 'R', 'S' and 'T' are five friends and their average age is ____ years. At present the age 'P' is half of the age of 'R' and the ratio of the present ages of 'Q' to 'S' is 6:13. Eight years hence from now, the ratio of the ages of 'P' to 'T' will become 7:13. If the present average age of 'Q' and 'R' is ____ years, and 'T' is 8 years younger to 'S'. (The age of each person will be in whole years).

The values given in which of the following options will fill the blanks in the same order in which is it given to make the statement true:

I. 40, 36

II. 36, 32

III. 30, 20

The car travels from A to B, B to C and finally, C to D with distance ratios AB : BC : CD = 2:x:4 and time ratios for covering AB, BC, and CD equal to 4:2:y. It is known that the total time taken to cover AC is 24 hours, and the total distance between CD is 880 km. The average speed of the car from A to D is 55 km/hr. What is the relation between x and y?

A sphere with a diameter of 42 cm and a cylinder with the same diameter as the sphere and a height equal to three times its diameter are formed from a cuboid with a length of 77 cm and a breadth of 66 cm. What is the height of the cuboid? Assume 

Consider two dice, D1 and D2. D1 is a standard dice, which, when rolled, can produce any value between 1 and 6 inclusive, while D2 is a dice with even numbers only, containing only 2, 4, and 6, with identical values on opposite faces. What is the probability that when both dice are rolled, their sum will be greater than or equal to 6?

The average weights of the students in sections A, B, and C are 56 kg, 48 kg, and 58 kg, respectively. When combining the students from sections A and B, the average weight is 54 kg, and for sections B and C, it is 56 kg. What is the average weight of all the students in the three sections combined?

If (x + y) = √15, and (x - y) = √11, then find the value of xy(x² + y²).