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In the following question, two statements are numbered as A and B. On solving these statements, we get quantities A and B respectively. Solve both quantities and choose the correct option. Quantity A: If Rs.11800 is divided among three friends A, B and C in the Ratio 2A : 5B : 7C then find the share of A. Quantity B: The ratio of the incomes of A and B is 3 : 5, whereas the ratio of their expenditures is 4 : 7 respectively. If A and B save Rs. 16,000 and Rs. 26,000, respectively, then what is the difference (in Rs.) between their expenditures?
Jar A comprises a mixture of milk and water in the ratio of 3 : 2 respectively. Another mixture of milk and water is added to jar A and the ratio of milk and water in the resultant mixture changes. What was the initial quantity of mixture present in Jar A? I. The ratio of milk and water in the mixture that was added to Jar A was 2 : 1 respectively. II. The ratio of the new quantities of milk and water in Jar A was 8 : 5 respectively. The quantity of water in the mixture added to jar A was 6 litre.
Two beams PQ (fixed at P and with a roller support at Q, as shown in Figure I, which allows vertical movement) and XZ (with a hinge at Y) are shown in the Figures I and II respectively. The spans of PQ and XZ are L and 2L respectively. Both the beams are under the action of uniformly distributed load (W) and have the same flexural stiffness, EI (where, E and I respectively denote modulus of elasticity and moment of inertia about axis of bending). Let the maximum deflection and maximum rotation be δmax1 and θmax1, respectively, in the case of beam PQ and the corresponding quantities for the beam XZ be δmax2 and θmax2, respectively. Which one of the following relationships is true?
A, B and C received an amount of Rs 8400 and distributed among themselves in the ratio of 6 : 8 : 7 respectively. If they save in the ratio of 3 : 2 : 4 respectively and B saves Rs 400, then what is the ratio of the expenditures of A, B and C respectively?
Two quantities I and II are given in the following questions. You have to find the values of both I and II by using your knowledge of mathematics and choose the most suitable relation between quantity I and II from the given options. Quantity I: Two persons A and B started a business with their certain initial capital. If A and B invested their capital in the business for 12 years and 8 years respectively and the ratio of their profit from the business is 21 : 16, then what is the initial capital invested by A if B invested Rs. 16000. (Consider only numerical value) Quantity II: Ratio of male to female who have a Visa card is 8 : 5 while the ratio of male to female who have a Master card is 4 : 7. The ratio of males who have a Visa card to those who have a Master card is 2 : 1. If the total number of males who have both cards is 15000 then find the total number of females who have both cards?
Given below are three quantities named A, B and C. Based on the given information, determine the relation among the three quantities. Quantity A∶  A 30 litre mixture of wine and water has wine and water in the ratio 5∶ 7. How much water must be drawn off so that the ratio of wine and water becomes 25∶ 19? Quantity B∶ A 35 litre mixture of wine and water has wine and water in the ratio 1∶ 3. How much water must be drawn off so that the ratio of wine and water becomes 1.75∶ 3.35? Quantity C∶ A 27 litre mixture of wine and water has wine and water in the ratio 3∶ 2. How much water must be drawn off so that the ratio of wine and water becomes 81∶ 11?
The present of A, B and C are in the ratio of 8 : 14 : 22 respectively. The present ages of B, C and D are in the ratio of 21 : 33 : 44 respectively. Which of the represents the ratio of the present ages of A, B, C and D respectively?
Nick has 3 vessels whose capacities are in the ratio 1 : 2 : 2. These vessels are completely filled with acid and water in the ratio 5 : 3, 3 : 1 and 4 : 3 respectively. If Nick takes 1, 1/7 and 1/4 the quantity of first, second and third vessel respectively and prepares a new mixture, then what is the ratio of water and acid in the final mixture? 
PA and PB are two tangents drawn to two circles of radius 3 cm and 5 cm respectively. PA touches the smaller and larger circles at points X and U respectively. PB touches the smaller and larger circle at point Y and V respectively. The centres of the smaller and larger circles O and N respectively. If ON = 12 cm, then what is the value (in cm) of PY?
PA and PB are two tangents drawn to two circles of radius 3 cm and 5 cm respectively. PA touches the smaller and larger circles at points X and Y respectively. PB touches the smaller and large circle at point U and V respectively. The centres of the smaller and larger circles O and N respectively. If ON = 12 cm, then what is the value (in cm) of PY?