CAT Practice Question and Answer
8Q: Ajay and his wife Reshmi appear in an interview for two vaccancies in the same post. The Probability of Ajay's selection is 1/7 and that of his wife Reshmi's selection is 1/5. What is the probability that only one of them will be selected? 2026 05b5cc7d0e4d2b41977751222
5b5cc7d0e4d2b41977751222- 15/7false
- 21/5false
- 32/7true
- 42/35false
- Show AnswerHide Answer
- Workspace
- SingleChoice
Answer : 3. "2/7"
Explanation :
Answer: C) 2/7 Explanation: P( only one of them will be selected) = p[(E and not F) or (F and not E)] = PE∩F∪F∩E = PEPF+PFPE =17×45+15×67=27
Q: A mixture contains 25% milk and rest water. What percent of this mixture must taken out and replaced with milk so that in mixture milk and water may become equal. 2026 05b5cc6b6e4d2b4197774d59e
5b5cc6b6e4d2b4197774d59e- 131.8%false
- 231%false
- 333.33%true
- 429.85%false
- Show AnswerHide Answer
- Workspace
- SingleChoice
Answer : 3. "33.33%"
Explanation :
Answer: C) 33.33% Explanation: Now, take percentage of milk and applying mixture rule 25 100 50 50 25 = 2 : 1 Hence required answer = 1/3 or 33.33%
Q: Three friends had dinner at a restaurant. When the bill was received, Akshitha paid 2/3 as much as Veena paid and Veena paid 1/2 as much as Lasya paid. What fraction of the bill did Veena pay ? 2026 05b5cc71ee4d2b4197774f5ae
5b5cc71ee4d2b4197774f5ae- 111/3false
- 22/13false
- 33/11true
- 413/4false
- Show AnswerHide Answer
- Workspace
- SingleChoice
Answer : 3. "3/11"
Explanation :
Answer: C) 3/11 Explanation: Let Veena paid x,so Akshitha paid 2x/3 , and Lasya paid 2x,So total bill paid is given byx+(2x/3) +2x = 1, we geti.e. x = 3/11
Q: Which new train is being flagged off by railway minister Suresh Prabhu in April 2017 ? 2026 05b5cc6eee4d2b4197774eef0
5b5cc6eee4d2b4197774eef0- 1Double Deck Passenger Trainsfalse
- 2High-speed railfalse
- 3Metro trainfalse
- 4Vistadome coach traintrue
- Show AnswerHide Answer
- Workspace
- SingleChoice
Answer : 4. "Vistadome coach train"
Explanation :
Answer: D) Vistadome coach train Explanation: Vistadome coach train flagged off in April 2017 is routed between Visakhapatnam to Araku valley station.
Q: Which of the following is not a compound? 2025 05b5cc68ee4d2b4197774c3c1
5b5cc68ee4d2b4197774c3c1- 1Brasstrue
- 2Quick limefalse
- 3Marblefalse
- 4Soda ashfalse
- Show AnswerHide Answer
- Workspace
- SingleChoice
Answer : 1. "Brass"
Explanation :
Answer: A) Brass Explanation: Among the given options Brass is not a compound. Since it is an alloy, it is a mixture. The smallest part of a compound is called a molecule. It has a unique composition that is always the same. Compound is a substance that consists of two or more elements.
Q: There are two examinations rooms P and Q. If 10 students are sent from P to Q, then the number of students in each room is the same. If 20 candidates are sent from Q to P, then the number of students in P is double the number of students in Q. The number of students in room Q is ? 2025 05b5cc720e4d2b4197774f61d
5b5cc720e4d2b4197774f61d- 1100false
- 270false
- 3120false
- 480true
- Show AnswerHide Answer
- Workspace
- SingleChoice
Answer : 4. "80"
Explanation :
Answer: D) 80 Explanation: If 'k' is number of students in P and 'l' is number of students in Q, then From the given conditions, we have=> k - 10 = l + 10 .......(1)=> k + 20 = 2(l - 20) ....(2) Solving these eqns, we get k = 100 and l = 80.Therefore, number of students in class Q is 80.
Q: Sagarmatha friendship is between which two countries ? 2025 05b5cc6cfe4d2b4197774e30d
5b5cc6cfe4d2b4197774e30d- 1Pakistan & Chinafalse
- 2Nepal & Indiafalse
- 3India & Chinafalse
- 4China & Nepaltrue
- Show AnswerHide Answer
- Workspace
- SingleChoice
Answer : 4. "China & Nepal"
Explanation :
Answer: D) China & Nepal Explanation: The first ever joint military exercise named 'Sagarmatha Friendship-2017' is all set between Nepal and China. Sagarmatha is the Nepali name for Mt Everest, which stands in between both the countries.
Q: What is the first term of an arithmetic progression of positive integers ? (I) Sum of the squares of the first and the second term is 116. (II)The fifth term is divisible by 7. 2024 05b5cc705e4d2b4197774f21b
5b5cc705e4d2b4197774f21b- 1Only a is sufficienttrue
- 2Only b is sufficientfalse
- 3Both a & b are necessaryfalse
- 4Nonefalse
- Show AnswerHide Answer
- Workspace
- SingleChoice
Answer : 1. "Only a is sufficient"
Explanation :
Answer: A) Only a is sufficient Explanation: The sum of square of two no is 116 i.e no lie 1-11, because 11x11 =121 which is greater than 116 again after cheaking all possible pair of no only 4 and 10 satisfy this condsn , again the progression is of positive integer so 10 cant not be 1st termso the 1st term is 4,but from the 2nd we cant able to find the 1st term so only 1st statement is sufficient to answer the question