CAT Practice Question and Answer
8Q: 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. 1660 05b5cc705e4d2b4197774f21b
5b5cc705e4d2b4197774f21b- 1Only a is sufficienttrue
- 2Only b is sufficientfalse
- 3Both a & b are necessaryfalse
- 4Nonefalse
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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
Q: A duster is of dimension 5x5x7 all in cms, is sinked into a cylindrical vessel of radius 5 cm and height 10 cm. After insertion the level of the water is inccresed by 2.14 cm. Then by what percentage the part of the duster is above the layer ? 1357 05b5cc705e4d2b4197774f216
5b5cc705e4d2b4197774f216- 196 %false
- 24 %true
- 397 %false
- 43 %false
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Answer : 2. "4 %"
Explanation :
Answer: B) 4 % Explanation: Imension of the duster is assumed as 5x5x7 cm3 Volume of the duster below the water layer= volume of water increased= πxrxrxh = 3.14×52×2.14 ≈ 168 cm3 Total volume of the duster = 5×5×7 = 175 cm3 Percentage of the duster part below the layer = 168×100/175 = 96% Percentage of the duster part above the layer = 4%
Q: Early morning after sunrise, Karthik was standing infront of his house in such a way that his shadow was falling exactly behind him. He starts walking straight and walks 5 metres. He turns to his left and walks 3 metres and again turning to his left walks 2 metres. Now in which direction is he from his starting point? 4485 05b5cc705e4d2b4197774f211
5b5cc705e4d2b4197774f211- 1Westfalse
- 2North-Easttrue
- 3Eastfalse
- 4South-Westfalse
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Answer : 2. "North-East"
Explanation :
Answer: B) North-East Explanation: Early morning suns rise at east, if his shadow falls exactly behind him that means he is facing towards east. now he walks 5mt towards east, then he turns left that means he facing towards north and walk 3mt and if he turn left then he is facing towards west and he walk only 3 kms thats why man is in north east direction from starting point.
Q: In a class of 39 students the ratio of boys and girls is 2 : 1. Radhika ranks 15th among all the students from top and 8th among girls from bottom. How many boys are there below Radhika ? 4572 05b5cc705e4d2b4197774f1f3
5b5cc705e4d2b4197774f1f3- 19false
- 217true
- 311false
- 415false
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Answer : 2. "17"
Explanation :
Answer: B) 17 Explanation: Total student= 39, boys : girls = 2:1, hence no of boys= 2/3(39)= 26num of girls= 1/3(39) = 13 , since radhika ranked 15 among 39 student from topand ranked 8 among girls from bottom , this means 7 girls are below radhika, rest 13-9= 5 girls are above her, now from 14 toper 5 are girls hence 14-5=9 boys.Hence num of boys below radhika are 26-9=17
Q: There are 10 Letters and 10 correspondingly 10 different Address. If the letter are put into envelope randomly, then find the Probability that Exactly 9 letters will at the Correct Address ? 2037 05b5cc705e4d2b4197774f1ee
5b5cc705e4d2b4197774f1ee- 11/10false
- 21/9false
- 31false
- 40true
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Answer : 4. "0"
Explanation :
Answer: D) 0 Explanation: As we know we have 10 letter and 10 different address and one more information given that exactly 9 letter will at the correct address....so the remaining one letter automatically reach to their correct address P(E) = favorable outcomes /total outcomesHere favorable outcomes are '0'.So probability is '0'.
Q: The first tiger reserve in India to officially introduce a mascot, which has been named Bhoorsingh the Barasingha is 1643 05b5cc701e4d2b4197774f1d5
5b5cc701e4d2b4197774f1d5- 1Sunderbans Tiger Reservefalse
- 2Bandhavgarh Tiger Reservefalse
- 3Kanha Tiger Reservetrue
- 4Corbett Tiger Reservefalse
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Answer : 3. "Kanha Tiger Reserve"
Explanation :
Answer: C) Kanha Tiger Reserve Explanation: The Kanha Tiger Reserve in Madhya Pradesh has become the first Tiger reserve in India to officially introduce a mascot, which has named Bhoorsingh the Barasingha.
Q: Indian Cricketer who received Padma Shri 2017 Award is 1673 05b5cc701e4d2b4197774f1c6
5b5cc701e4d2b4197774f1c6- 1Ajinkya Rahanefalse
- 2Ravichandran Ashwinfalse
- 3Dinesh karthikfalse
- 4Virat Kohlitrue
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Answer : 4. "Virat Kohli"
Explanation :
Answer: D) Virat Kohli Explanation: Political stalwarts Sharad Pawar, Murli Manohar Joshi and the late Lok Sabha Speaker P A Sangma, cricketer Virat Kohli and Bollywood singer Anuradha Paudwal were among the 39 people who conferred this year’s Padma awards.
Q: A cuboid of dimension 24cm x 9cm x 8 cm is melted and smaller cubers are of side 3 cm is formed.find how many such cubes can be formed ? 1466 05b5cc701e4d2b4197774f1c1
5b5cc701e4d2b4197774f1c1- 164true
- 256false
- 348false
- 440false
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Answer : 1. "64"
Explanation :
Answer: A) 64 Explanation: Volume of cuboid = (24 x 9 x 8) cm = 1728 cu.cmVolume of small cube = (3 x 3 x 3) cm = 27 cu.cm So, No. of small cubes formed = 1728/27 = 64.

