GATE प्रश्न और उत्तर का अभ्यास करें
8प्र: What is the missing number in 5, 14, 42, 107, 233, ? 2886 05b5cc636e4d2b4197774ba09
5b5cc636e4d2b4197774ba09- 1316false
- 2384false
- 3450true
- 4479false
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उत्तर : 3. "450"
व्याख्या :
Answer: C) 450 Explanation: Given Series is 5, 14, 42, 107, 233, _? 5, 14, 42, 107, 233, _? Differences is 9, 28, 65, 126 9 = 2^3 + 1 28 = 3^3 + 1 65 = 4^3 + 1 126 = 5^3 + 1 Now, next difference must be 6^3 + 1 = 217 Hence, next number in the given series = 233 + 217 = 450.
प्र: 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? 2884 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: Compound interest earned on a sum for the second and the third years are Rs.1200 and Rs.1440 respectively. Find the rate of interest ? 2884 05b5cc6ebe4d2b4197774eeb9
5b5cc6ebe4d2b4197774eeb9- 120% p.atrue
- 215% p.afalse
- 318% p.afalse
- 424% p.afalse
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उत्तर : 1. "20% p.a"
व्याख्या :
Answer: A) 20% p.a Explanation: Rs.1440 - 1200 = Rs.240 is the interest on Rs.1200 for one year. Rate of interest = (100 x 240) / (1200) = 20% p.a
प्र: Find the next number in the series 143 143 136 110 ? 2882 05b5cc6b6e4d2b4197774d5a8
5b5cc6b6e4d2b4197774d5a8- 191false
- 235false
- 347true
- 469false
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उत्तर : 3. "47"
व्याख्या :
Answer: C) 47 Explanation: The next number in the series is 143 143 136 110 0 7 26 (Differences) 13 - 1 , 23 - 1, 33 - 1, 43 - 1,...Now the next number is given by110 - (43 - 1) = 110 - 63 = 47.
प्र: Is B2+ Paramagnetic or Diamagnetic? 2878 05b5cc69ae4d2b4197774c7ac
5b5cc69ae4d2b4197774c7ac- उत्तर देखें
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उत्तर :
व्याख्या :
B2+ is a Paramagnetic. The filled orbitals are σ(1s)22, σ∗(1s)22, σ(2s)22, σ∗(2s)22. The half-filled orbitals are π(2pxx) and π(2pyy). Since it posses 2 unpaired electrons, it is Paramagnetic in nature.
प्र: Which statement best describes Arteries? 2876 05b5cc6a5e4d2b4197774ccb0
5b5cc6a5e4d2b4197774ccb0- 1They have thin walls and transport blood away from the heartfalse
- 2They have thick walls and transport blood toward the heartfalse
- 3They have thin walls and transport blood toward the heartfalse
- 4They have thick walls and transport blood away from the hearttrue
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उत्तर : 4. "They have thick walls and transport blood away from the heart"
व्याख्या :
Answer: D) They have thick walls and transport blood away from the heart Explanation: Because arteries have to have thick walls for use of protection. Its when you get to veins where the walls get thinner. And the use of the heart is to pump blood to all of the cells and organs in the body so it would be to transport blood away from the heart. i.e. Arteries = Away from the Heart Veins = Back to the Heart.
प्र: Suppose today is Friday, what day of the week will it be 65 days from now? 2865 05b5cc69be4d2b4197774c7de
5b5cc69be4d2b4197774c7de- 1Saturdayfalse
- 2Sundaytrue
- 3Fridayfalse
- 4Thursdayfalse
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उत्तर : 2. "Sunday"
व्याख्या :
Answer: B) Sunday Explanation: The day of the week repeats every 7 days. Given today is Friday. Again Friday is repeated on the 7th day, 14th,... on 7 multiple days. Hence, Friday is on the 63rd day, as 63 is multiple of 7. Now, the required day of the week on the 65th day is Sunday.
प्र: The difference of two numbers is 14. Their LCM and HCF are 441 and 7. Find the two numbers ? 2858 05b5cc709e4d2b4197774f267
5b5cc709e4d2b4197774f267- 163 and 49true
- 264 and 48false
- 362 and 46false
- 464 and 49false
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उत्तर : 1. "63 and 49"
व्याख्या :
Answer: A) 63 and 49 Explanation: Since their HCFs are 7, numbers are divisible by 7 and are of the form 7x and 7y Difference = 14 => 7x - 7y = 14=> x - y = 2 product of numbers = product of their hcf and lcm=> 7x * 7y = 441 * 7=> x * y = 63 Now, we havex * y = 63 , x - y = 2=> x = 9 , y = 7 The numbers are 7x and 7y=> 63 and 49