Mini Mock Set – 67 | Maths & Reasoning

There a balls of 4 colours in an urn: Red, Blue, Green and Yellow How many Green balls are there in the Urn?
l. When a ball is picked at random from the urn, the probability that it is green is 1/3, the sum of the number of Red and Blue balls is equal to the number of Green and Yellow balls. The probability that a ball is yellow when randomly picked from the urn is 1/6
ll. The probability that a ball being picked up from the urn is Red is 1/6 more than the probability that a ball being picked up ball is Yellow.
Ill. The probability that a ball being picked up from the urn is Blue is half the probability that a ball being picked up from the urn is Green.

2. If the ratio of the lengths of trains A and B is 5:7, then what is the length of train A?

l) Train C travels with 63 km/h and its length is 410 m. If trains B and C are moving in same direction, then train C crosses train B in 60 seconds.
Il) If trains B and C are moving in opposite directions then they will cross each other in 45 seconds.
Ill) If speeds of both trains A and B was 25.2 km/h each, then difference between time taken by them to cross a pole is 20 seconds.

3. A box contains 3 red balls, 5 white balls and ‘x’ pink balls, while a bag contains ‘x’ red balls and ‘y’ white balls and 7 pink balls. Find the value of ‘x’. (Both bag and box contain less than 20 balls individually)
Statement l: When two balls are randomly drawn from the bag, the probability that one ball is red ball and other one is white balls is 2/45.
Statement Il: The difference between the probability of drawing a red ball from the box and the probability of drawing a red ball from the bag is 1/10.
Statement Ill: The number of balls in both bag and box is equal.

a) The data in statement Il alone are sufficient to answer the question.
b) Thedata in statement I and statement Ill together are necessary to answer the question.
c) Thedata in statement Il and statement Ill together are necessary to answer the question.
d) Thedata in statement l, Il and Ill together is not sufficient to answer the question.
e) Eitheroption (b) or option (c)

4. Quantity l: A circle with centre O is drawn inside a rectangle ABCD such that the circle touches the mid points of the length sides of the rectangle. Diagonal of the rectangle is 25 cm and length of the rectangle is 24 cm. EF is a chord to the circle such that length of EF is half of the breadth of the rectangle. Find the length of the arc EF
Quantity Il: 5 cm.

5. There are 10 mixtures A, B, C, D,E, P, Q, R, S and T of milk and water. Bar graph given below shows the amount of milk in first five mixtures A, B, C, D and E as a per cent of amount of milk in last five mixtures Q, R, S and T respectively. And Table shows the ratio of water in first five mixtures to the amount of water in last five mixtures as given

Amount of milk in mixture P is double of the amount of water in that mixture. If a milkman mixes 60% of mixture A and 80% of mixture P and form mixture M and sold this mixture at the cost of Rs 40 per litres. If the cost of pure milk is Rs.50 per litres, then the milkman still earns Rs 2000 as profit. What is the difference between quantity of milk in mixtures M and quantity of water In that mixture?
a) 48 litres b) 92 litres c) 36 litres d) 46 litres e) None of these