CAT Practice Question and Answer
8Q: If [P @ Q] means [P is wife of Q], [P+Q] means [P is father of Q] and [P - Q] means [P is sister of Q] then in [G+ H - R @ D], how is G related to D ? 1993 05b5cc715e4d2b4197774f422
5b5cc715e4d2b4197774f422- 1Son-in-lawfalse
- 2Grand fatherfalse
- 3Father-in-lawtrue
- 4Brotherfalse
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Answer : 3. "Father-in-law"
Explanation :
Answer: C) Father-in-law Explanation: "G is father in law of D"G+H means G is father of HH is either son or daughter of GH-R means H is sister of RR@D means R is wife of Dso H and R are sistersand daughters of Gso husband of R i.e. D is son in law of Gor G is father in law of D
Q: K and L start a business jointly. K invests Rs.16000 for 8 months and L remains in the business for 4 months. Out of the total profit L claims 2/7th share. How much money is contributed by L? 1992 05b5cc767e4d2b4197774fe22
5b5cc767e4d2b4197774fe22- 1Rs. 13,204false
- 2Rs. 14,521false
- 3Rs. 12,800true
- 4Rs. 15,000false
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Answer : 3. "Rs. 12,800"
Explanation :
Answer: C) Rs. 12,800 Explanation: Given share of L is 2/7 th of profit. Then, their profits are divided in to 5:2 ratio. Ratio of K and L is 16000×8x×4=52 x = Rs. 12,800.
Q: A problem is given to three students whose chances of solving it are 1/2, 1/3 and 1/4 respectively. What is the probability that the problem will be solved? 1992 05b5cc7d0e4d2b4197775122c
5b5cc7d0e4d2b4197775122c- 11/4false
- 21/2false
- 33/4true
- 47/12false
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Answer : 3. "3/4"
Explanation :
Answer: C) 3/4 Explanation: Let A, B, C be the respective events of solving the problem and A , B, C be the respective events of not solving the problem. Then A, B, C are independent event ∴A, B, C are independent events Now, P(A) = 1/2 , P(B) = 1/3 and P(C)=1/4 PA=12, PB=23, PC= 34 ∴ P( none solves the problem) = P(not A) and (not B) and (not C) = PA∩B∩C = PAPBPC ∵ A, B, C are Independent = 12×23×34 = 14 Hence, P(the problem will be solved) = 1 - P(none solves the problem) = 1-14= 3/4
Q: A boat travels 72 km downstream in 8 hours and 84 km upstream in 12 hours. Find the speed of the boat in still water and the speed of the water current ? 1992 05b5cc71ee4d2b4197774f581
5b5cc71ee4d2b4197774f581- 19 and 3 kmphfalse
- 26 and 7 kmphfalse
- 38 and 1 kmphtrue
- 47 and 2 kmphfalse
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Answer : 3. "8 and 1 kmph"
Explanation :
Answer: C) 8 and 1 kmph Explanation: Downstream speed = 72km/8hrs = 9 kmphupstream speed = 84km/12hrs = 7 kmphspeed of boat = avg of downstream and upstream speedsspeed of boat = (9+7)/2kmph = 8 kmph.current speed = half of the difference of downstream and upstream speedscurrend speed = (9-7)/2kmph = 1 kmph
Q: A man covers half of his journey by train at 60 km/hr, half of the remaining by bus at 30 km/hr and the rest by cycle at 10 km/hr. Find his average speed during the entire journey? 1991 05b5cc6ade4d2b4197774d12f
5b5cc6ade4d2b4197774d12f- 132 kmphfalse
- 220 kmphfalse
- 318 kmphfalse
- 424 kmphtrue
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Answer : 4. "24 kmph"
Explanation :
Answer: D) 24 kmph Explanation: Let the total distance of the journey of a man = d kms Now, the average speed of the entire journey = dd120 + d120 + d40 = 24 kmph.
Q: Which property would be classified as expendable? 1991 05b5cc622e4d2b4197774b7f3
5b5cc622e4d2b4197774b7f3- 1Food given to Armyfalse
- 2Cementfalse
- 3Paintfalse
- 4All of the abovetrue
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Answer : 4. "All of the above"
Explanation :
Answer: D) All of the above Explanation: Expendable properties are those properties that are consume in use or that lose their identity in use. It also include those properties that become an integral part of other property when put to use and those properties which have an expected service life of less than one year.
Q: The population of a city is 415600.It increased by 25% in the first year and decreased by 30% in the second year.What is the population of the city at the end of second year? 1991 05b5cc783e4d2b41977750224
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Answer :
Explanation :
As per given data, P = 415600, R1= 25% incresed, R2 = 30% decreased Population of the city at the end of the second year= 363650.
Q: What does the Aufbau Principle state 1991 05b5cc63de4d2b4197774bb0f
5b5cc63de4d2b4197774bb0f- 1Electrons will be added to an atom starting from the lowest possible level or sublevel.true
- 2Electrons will be added to an atom only if the orbitals are different colors.false
- 3Electrons will be added to an atom in a random order.false
- 4Electrons will be added to an atom in a symmetrical manner.false
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Answer : 1. "Electrons will be added to an atom starting from the lowest possible level or sublevel."
Explanation :
Answer: A) Electrons will be added to an atom starting from the lowest possible level or sublevel. Explanation: The Aufbau Principle states that in the ground state of an atom, an electron enters the orbital with lowest energy first and subsequent electrons are fed in the order of increasing energies.