CAT Practice Question and Answer
8Q: If 4 circles of equal radius are drawn with vertices of a square as the centre , the side of the square being 7 cm, find the area of the circles outside the square ? 1787 05b5cc718e4d2b4197774f490
5b5cc718e4d2b4197774f490- 1119.21 sq cmfalse
- 2115.395 sq cmtrue
- 3104.214 sq cmfalse
- 4111.241 sq cmfalse
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Answer : 2. "115.395 sq cm"
Explanation :
Answer: B) 115.395 sq cm Explanation: Because each vertice of the square is the center of a circle(1/4) part of the total area of each circle inside of the square.(3/4) part of the total area of each circle outside of the square.Thus total area outside the square is 434×227×3.5×3.5 = 115.3955 sq cm.
Q: 30% of 500 rupees is? 1787 05b5cc690e4d2b4197774c460
5b5cc690e4d2b4197774c460- 1Rs. 180false
- 2Rs. 150true
- 3Rs. 120false
- 4Rs. 240false
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Answer : 2. "Rs. 150"
Explanation :
Answer: B) Rs. 150 Explanation: Given 30% of 500 = 30100 x 500= 30 x 5= 150 Hence, 30% of Rs. 500 = Rs. 150.
Q: Coral Reefs in India can be found in 1787 05b5cc6bce4d2b4197774d881
5b5cc6bce4d2b4197774d881- 1Rameshwaramtrue
- 2Trivandrumfalse
- 3The coast of Orissafalse
- 4Waltairfalse
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Answer : 1. "Rameshwaram"
Explanation :
Answer: A) Rameshwaram Explanation: In India Coral Reefs can be found in Rameshwaram. Coral reefs in India are one of the most ancient and dynamic ecosystems of India. The coral reefs not only provide a sanctuary to a myriad of marine life but also play a key role in protecting the coastline from erosion. Coral reefs are diverse underwater ecosystems held together by calcium carbonate structures secreted by corals. Coral reefs are built by colonies of tiny animals found in marine water that contain few nutrients.
Q: The most populous city in the world is ? 1787 05b5cc6e0e4d2b4197774eb3e
5b5cc6e0e4d2b4197774eb3e- 1Tokyotrue
- 2Parisfalse
- 3Pekingfalse
- 4Londonfalse
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Answer : 1. "Tokyo"
Explanation :
Answer: A) Tokyo Explanation:
Q: The preamble to our constitution provided that India is 1787 05b5cc670e4d2b4197774c04d
5b5cc670e4d2b4197774c04d- 1a sovereign, socialist, secular and democratic republictrue
- 2a sovereign republic with a socialist pattern of societyfalse
- 3a socialist, secular and democratic republicfalse
- 4a sovereign, socialist and democratic republicfalse
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Answer : 1. "a sovereign, socialist, secular and democratic republic"
Explanation :
Answer: A) a sovereign, socialist, secular and democratic republic Explanation: The Preamble was adopted with the constitution in the constituent assembly. The Preamble proclaims the solemn resolution of the people of India to constitute India into a 'Sovereign socialist secular democratic republic'.
Q: Which sentence is written correctly? 1785 05b5cc6b3e4d2b4197774d403
5b5cc6b3e4d2b4197774d403- 1They never watch no movie during the working days, but in holidays they watch one movie.false
- 2They never watch none movie during the working days, but in holidays they watch one movie.false
- 3They don't never watch any movie during the working days, but in holidays they watch one movie.false
- 4They watch no movie during the working days, but in holidays they watch one movie.true
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Answer : 4. "They watch no movie during the working days, but in holidays they watch one movie."
Explanation :
Answer: D) They watch no movie during the working days, but in holidays they watch one movie. Explanation: They watch no movie during the working days, but in holidays they watch one movie. is correctly written among the given options.
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 ? 1785 05b5cc720e4d2b4197774f61d
5b5cc720e4d2b4197774f61d- 1100false
- 270false
- 3120false
- 480true
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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: Let K and L be events on the same sample space, with P (K) = 0.8 and P (B) = 0.6. Are these two events are disjoint ? 1785 05b5cc6d7e4d2b4197774e6c6
5b5cc6d7e4d2b4197774e6c6- 1B) = 0.6. Are these two events are disjoint ? A)false
- 2= 0.6. Are these two events are disjoint ? A) TRUE B) FALSE Answer & Explanation Answer: B) FALSE Explanation: These two events cannot be disjoint because P(K) + P(L) > 1. P(AꓴB) = P(true
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Answer : 2. "= 0.6. Are these two events are disjoint ?
A) TRUE
B) FALSE
Answer & Explanation
Answer: B) FALSE
Explanation: These two events cannot be disjoint because P(K) + P(L) > 1.
P(AꓴB) = P("
Explanation :
Answer: B) FALSE Explanation: These two events cannot be disjoint because P(K) + P(L) > 1. P(AꓴB) = P(A) + P(B) - P(AꓵB). An event is disjoint if P(A ꓵ B) = 0. If K and L are disjoint P(K ꓴ L) = 0.8 + 0.6 = 1.4 And Since probability cannot be greater than 1, these two mentioned events cannot be disjoint.