CAT Practice Question and Answer
8Q: A bag contains 4 red and 3 black balls. A second bag contains 2 red and 4 black balls. One bag is selected at random. From the selected bag, one ball is drawn. Find the probability that the ball drawn is red. 2189 05b5cc7d0e4d2b4197775121d
5b5cc7d0e4d2b4197775121d- 123/42false
- 219/42true
- 37/32false
- 416/39false
- Show AnswerHide Answer
- Workspace
- SingleChoice
Answer : 2. "19/42"
Explanation :
Answer: B) 19/42 Explanation: A red ball can be drawn in two mutually exclusive ways (i) Selecting bag I and then drawing a red ball from it. (ii) Selecting bag II and then drawing a red ball from it. Let E1, E2 and A denote the events defined as follows: E1 = selecting bag I, E2 = selecting bag II A = drawing a red ball Since one of the two bags is selected randomly, therefore P(E1) = 1/2 and P(E2) = 1/2 Now, PAE1 = Probability of drawing a red ball when the first bag has been selected = 4/7 PAE2 = Probability of drawing a red ball when the second bag has been selected = 2/6 Using the law of total probability, we have P(red ball) = P(A) = PE1×PAE1+PE2×PAE2 = 12×47+12×26=1942
Q: How many days in 4 years? 2188 05b5cc6aee4d2b4197774d1a1
5b5cc6aee4d2b4197774d1a1- 11460true
- 21461false
- 31462false
- 41459false
- Show AnswerHide Answer
- Workspace
- SingleChoice
Answer : 1. "1460"
Explanation :
Answer: A) 1460 Explanation: Days in 4 years => Let the first year is Normal year i.e, its not Leap year. A Leap Years occurs once for every 4 years. 4 years => 365 + 365 + 365 + 366(Leap year) 4 years => 730 + 731 = 1461 Therefore, Number of Days in 4 Years = 1461 Days.
Q: The price of pulses has increased by 25%. The percentage of reduction that a family should effect in the use of pulses so as not to increase the expenditure on this account is ? 2188 05b5cc75ce4d2b4197774fc3e
5b5cc75ce4d2b4197774fc3e- 116%false
- 220%true
- 384%false
- 472%false
- Show AnswerHide Answer
- Workspace
- SingleChoice
Answer : 2. "20%"
Explanation :
Answer: B) 20% Explanation: Reduction in consumption= P100+P X 100%= 25100+25 X 100%= 20%
Q: Statement: A large number of students who have passed their XII Std. terminal examination in the country could not get admission to colleges as the number of seats available are grossly inadequate.Courses of action:a. The evaluation system of XII Std. terminal examination should be made more tough so that fewer students pass the examination.b. The Government should encourage the private sector to open new colleges by providing them land at cheaper rate.c. The rich people should be asked to send their wards to foreign countries for higher studies enabling the needy students to get admission in colleges within the country. 2188 05b5cc75ce4d2b4197774fc7f
5b5cc75ce4d2b4197774fc7f- 1only a and b followsfalse
- 2Only c followsfalse
- 3Only b followstrue
- 4All a, b & c followsfalse
- Show AnswerHide Answer
- Workspace
- SingleChoice
Answer : 3. "Only b follows"
Explanation :
Answer: C) Only b follows Explanation: Clearly, reducing the number of aspirants for admission to colleges or sending the students of well-to-do families to foreign countries for higher studies, is no proper solution. So, both I and III do not follow. The right solution is to increase the number of colleges so as t accommodate the increasing number of admission-seekers. So, only II follows.
Q: If 6 (P's Capital ) = 8 ( Q's Capital ) = 12 ( R's Capital ) , then out of the total profit of Rs 4650 , R will receive ? 2188 05b5cc6fee4d2b4197774f161
5b5cc6fee4d2b4197774f161- 1Rs. 1033.33true
- 2Rs. 1024false
- 3Rs. 1148.14false
- 4Rs. 1245.32false
- Show AnswerHide Answer
- Workspace
- SingleChoice
Answer : 1. "Rs. 1033.33"
Explanation :
Answer: A) Rs. 1033.33 Explanation: Let P's capital = p, Q's capital = q and R's capital = r.Then 6p = 8q = 12r=> 3p = 4q = 6r=>q = 3p/4r = 3p/6 = p/2P : Q : R = p : 3p/4 : p/2= 4 : 3 : 2R's share = 4650 * (2/9) = 150*6 = Rs. 1033.33.
Q: Sneha’s weight is 140% of Veena’s weight. Rina’s weight is 90% of Sana’s weight. Sana weighs twice as much as Veena. If Sneha’s weight is x% of Rina’s weight, then x is equal to: 2188 05b5cc699e4d2b4197774c750
5b5cc699e4d2b4197774c750- 1596/9false
- 2605/9false
- 3645/9false
- 4700/9true
- Show AnswerHide Answer
- Workspace
- SingleChoice
Answer : 4. "700/9"
Explanation :
Answer: D) 700/9 Explanation: Let Veena's weight = 1 kg Sana's weight = 2 kg Sneha's weight = 1.4 kg Rina's weight = 1.8 kg Now,according to the given data in the question, 1.8x100 = 1.4 x = 1.4 × 1001.8 = 7009 = 77 79.
Q: The shorter i am, the bigger i am. What am I? 2187 05b5cc68be4d2b4197774c379
5b5cc68be4d2b4197774c379- Show AnswerHide Answer
- Workspace
- SingleChoice
Answer :
Explanation :
A Temper.
Q: Electrical Pressure is also called 2186 05b5cc6afe4d2b4197774d200
5b5cc6afe4d2b4197774d200- 1Currentfalse
- 2Voltagetrue
- 3Resistancefalse
- 4Powerfalse
- Show AnswerHide Answer
- Workspace
- SingleChoice
Answer : 2. "Voltage"
Explanation :
Answer: B) Voltage Explanation: Electrical Pressure is also called as Voltage. Voltage is measured in Volts. Volt : A unit of electrical pressure or Voltage is called Volt. One volt is the amount of pressure required to cause one ampere of current to flow against one ohm of resistance. Voltage is also referred to as Electromotive Force or Electrical Potential or Electrical Pressure.