CAT प्रश्न और उत्तर का अभ्यास करें
8प्र: एक कक्षा में 60% छात्र अंग्रेजी में और 45% हिंदी में उत्तीर्ण होते हैं। यदि उनमें से 25% दोनों विषयों में उत्तीर्ण होते हैं, तो कितने प्रतिशत छात्र दोनों विषयों में अनुत्तीर्ण होते हैं? 3640 15b5cc601e4d2b4197774b440
5b5cc601e4d2b4197774b440- 120%true
- 225%false
- 330%false
- 415%false
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उत्तर : 1. "20%"
व्याख्या :
Answer: A) 20% स्पष्टीकरण: अंग्रेजी में उत्तीर्ण छात्रों का प्रतिशत = 60% हिंदी में उत्तीर्ण छात्रों का प्रतिशत = 45% दोनों विषयों में उत्तीर्ण छात्रों का प्रतिशत = 25% एटीक्यू, केवल अंग्रेजी में उत्तीर्ण छात्रों का प्रतिशत = 60 - 25 = 35% का प्रतिशत विद्यार्थी केवल हिंदी में उत्तीर्ण हुए = 45 - 25 = 20% इसलिए, अनुत्तीर्ण छात्रों का प्रतिशत = 100 - (35 + 25 + 20) = 100 - 80 = 20%।
प्र: Minimum number of straight lines required to form the below figure ? 3639 05b5cc76fe4d2b4197774ff2b
5b5cc76fe4d2b4197774ff2b- 118false
- 217false
- 314true
- 416false
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उत्तर : 3. "14"
व्याख्या :
Answer: C) 14 Explanation: The given figure can be labelled as shown : The horizontal lines are AK, BJ, CI, DH and EG i.e. 5 in number.The vertical lines are AE, LF and KG i.e. 3 in number.The slanting lines are LC, CF, FI, LI, EK and AG i.e. 6 in number.Thus, there are 5 + 3 + 6 = 14 straight lines in the figure.
प्र: Three friends, P, Q and R started a partnership business investing money in the ratio of 5 : 4 : 2 respectively for a period of 3 years. What is the amount received by P as his share in the total profit ? a. Total amount invested in the business in Rs. 22,000. b. Profit earned at the end of 3 years is 3/8 of the total investment. c. The average amount of profit earned per year is Rs. 2750. 3636 05b5cc70be4d2b4197774f2e1
5b5cc70be4d2b4197774f2e1- 1Only c is sufficientfalse
- 2Both a & b are sufficientfalse
- 3Both A & B gives resulttrue
- 4Nonefalse
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उत्तर : 3. "Both A & B gives result"
व्याख्या :
Answer: C) Both A & B gives result Explanation: a and b give, profit after 3 years = Rs.(3/8 x 22000) = Rs.8250. From c also, profit after 3 years = Rs. (2750 x 3) = Rs. 8250. ∴ P's share = Rs.(8250 x 5/11) = Rs. 3750. Thus, (either C is redundant) or (a and b are redundant).
प्र: If a trader sold two cars each at Rs. 325475 and gains 12% on the first and loses 12% on the second, then his profit or loss percent on the whole is ? 3628 05b5cc6ebe4d2b4197774ee78
5b5cc6ebe4d2b4197774ee78- 11.44% losstrue
- 214.4% lossfalse
- 30%false
- 414.4% profitfalse
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उत्तर : 1. "1.44% loss"
व्याख्या :
Answer: A) 1.44% loss Explanation: SP of each car is Rs. 325475, he gains 12% on first car and losses 12% on second car.In this case, there will be loss and percentage of loss is given by = [(profit%)(loss%)]/100 = (12)(12)/100 % = 1.44%
प्र: The average age of a class is 19 years. While the average age of girls is 18 and that of boys is 21. If the number of girls in the class is 16, Find the number of Boys in the class? 3622 05b5cc6bce4d2b4197774d8a2
5b5cc6bce4d2b4197774d8a2- 112false
- 210false
- 38true
- 46false
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उत्तर : 3. "8"
व्याख्या :
Answer: C) 8 Explanation: Let the number of boys = x From the given data, => [21x + 16(18)]/(x+16) = 19 => 21x - 19x = 19(16) - 16(18) => 2x = 16 => x = 8 Therefore, the number of boys in the class = 8.
प्र: विश्व का सबसे तेज सुपरकंप्यूटर कौन सा है और यह किस देश का है? 3622 25b5cc6c5e4d2b4197774dd5f
5b5cc6c5e4d2b4197774dd5f- 1JAGUAR --- ENGLANDfalse
- 2PARAM YUVA 2 --- INDIAfalse
- 3CRAY-1 --- ENGLANDfalse
- 4TIANHE 2 --- CHINAtrue
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उत्तर : 4. "TIANHE 2 --- CHINA"
व्याख्या :
Answer: D) TIANHE 2 --- CHINA Explanation:
प्र: Two old friends, Jack and Bill, meet after a long time. Jack: Hey, how are you man? Bill: Not bad, got married and I have three kids now Jack: That’s awesome. How old are they?Bill: The product of their ages is 72 and the sum of their ages is the same as your birth date. Jack: Cool … But I still don’t know.Bill : My eldest kid just started taking piano lessons. Jack: Oh now I get it.How old are Bill’s kids ? 3618 05b5cc718e4d2b4197774f4c2
5b5cc718e4d2b4197774f4c2- 13, 3, 8true
- 22, 6, 6false
- 31, 6, 12false
- 41, 8, 9false
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उत्तर : 1. "3, 3, 8"
व्याख्या :
Answer: A) 3, 3, 8 Explanation: Let’s break it down. The product of their ages is 72. So what are the possible choices? 2, 2, 18 – sum(2, 2, 18) = 222, 4, 9 – sum(2, 4, 9) = 152, 6, 6 – sum(2, 6, 6) = 142, 3, 12 – sum(2, 3, 12) = 173, 4, 6 – sum(3, 4, 6) = 133, 3, 8 – sum(3, 3, 8 ) = 141, 8, 9 – sum(1,8,9) = 181, 3, 24 – sum(1, 3, 24) = 281, 4, 18 – sum(1, 4, 18) = 231, 2, 36 – sum(1, 2, 36) = 391, 6, 12 – sum(1, 6, 12) = 19 The sum of their ages is the same as your birth date. That could be anything from 1 to 31 but the fact that Jack was unable to find out the ages, it means there are two or more combinations with the same sum. From the choices above, only two of them are possible now. 2, 6, 6 – sum(2, 6, 6) = 143, 3, 8 – sum(3, 3, 8 ) = 14 Since the eldest kid is taking piano lessons, we can eliminate combination 1 since there are two eldest ones. The answer is 3, 3 and 8.
प्र: Pipe A can fill a tank in 16 minutes and pipe B cam empty it in 24 minutes. If both the pipes are opened together after how many minutes should pipe B be closed, so that the tank is filled in 30 minutes ? 3608 05b5cc6e5e4d2b4197774ed1a
5b5cc6e5e4d2b4197774ed1a- 121 mintrue
- 224 minfalse
- 320 minfalse
- 422 minfalse
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उत्तर : 1. "21 min"
व्याख्या :
Answer: A) 21 min Explanation: Let the pipe B be closed after 'K' minutes. 30/16 - K/24 = 1 => K/24 = 30/16 - 1 = 14/16 => K = 14/16 x 24 = 21 min.