IIT JEE प्रश्न और उत्तर का अभ्यास करें
8प्र: The length of a rectangle is 10 cm more than the breadth. Find the diagonal length of rectangle if perimeter is 44 cm ? 1048 05b5cc6cae4d2b4197774e06d
5b5cc6cae4d2b4197774e06d- 112.50 cmfalse
- 214.21 cmfalse
- 315.98 cmfalse
- 417.08 cmtrue
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उत्तर : 4. "17.08 cm"
व्याख्या :
Answer: D) 17.08 cm Explanation: Let the length of the rectangle = L cm Then the breadth of the rectangle = (L - 10) cm Perimeter of a rectangle = 2(L + B) cm => 44 = 2(L + L - 10) => 44 = 4L - 20 => 4L = 64 => L = 16 cm => B = L - 10 = 6 cm Diagonal = L2+B2 = 162+62 = 17.08 cm
प्र: 10 boys can complete a work in 7 days and 10 girls take 14 days to complete the work. How many days will 5 boys and 10 girls take to complete the work ? 1048 05b5cc6dee4d2b4197774ea85
5b5cc6dee4d2b4197774ea85- 113 daysfalse
- 210 daysfalse
- 37 daystrue
- 416 daysfalse
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उत्तर : 3. "7 days"
व्याख्या :
Answer: C) 7 days Explanation: 1 boy's 1 day work = 1/70 1 girl's 1 day work = 1/140 (5 boys + 10 girls)'s 1 day work = (5/70 + 10/140) = (1/14 + 1/14) = 1/7 5 boys and 10 girls will complete the work in 7 days.
प्र: GST Council has decided to keep a total of ________ items in the 28% slab, which was earlier 227. 1048 05b5cc6bfe4d2b4197774d9f6
5b5cc6bfe4d2b4197774d9f6- 1125false
- 287false
- 3100false
- 450true
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उत्तर : 4. "50"
व्याख्या :
Answer: D) 50 Explanation: The GST Council on Nov 10th 2017 cut tax rates of over 175 products that were in the highest tax slab of 28% under the Goods and Services Tax (GST) regime. Currently only 50 items have been left in the 28% category out of a total of 227 items that were present earlier.
प्र: In How many ways can the letters of the word 'CAPITAL' be arranged in such a way that all the vowels always come together? 1047 05b5cc7b4e4d2b41977750897
5b5cc7b4e4d2b41977750897- 1360true
- 2720false
- 3120false
- 4840false
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उत्तर : 1. "360"
व्याख्या :
Answer: A) 360 Explanation: CAPITAL = 7 Vowels = 3 (A, I, A) Consonants = (C, P, T, L) 5 letters which can be arranged in 5P5=5! Vowels A,I = 3!2! No.of arrangements = 5! x 3!2!=360
प्र: How long is a term in the house of representatives? 1047 05b5cc62ce4d2b4197774b933
5b5cc62ce4d2b4197774b933- 15false
- 22true
- 34false
- 46false
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उत्तर : 2. "2"
व्याख्या :
Answer: B) 2 Explanation: Members of the House of Representatives serve two-year terms and are considered for reelection every even year.
प्र: Find which of the two conclusions I and II given below is/are definitely true from the the given statements. Statements: I > W > T > N, I = F = G = C Conclusions: I. W > I II. C > N 1047 05b5cc6bde4d2b4197774d933
5b5cc6bde4d2b4197774d933- 1Only Conclusion I is truefalse
- 2Only Conclusion II is truetrue
- 3Both conclusions I & II are truefalse
- 4Neither conclusion I nor II is truefalse
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उत्तर : 2. "Only Conclusion II is true"
व्याख्या :
Answer: B) Only Conclusion II is true Explanation: From the given Statements : 1. I > W > T > N 2. F = G = C Conclusions are : I. W > I (False) II. C > N (True)
प्र: Synonym of Trustworthy? 1046 05b5cc69de4d2b4197774c8d7
5b5cc69de4d2b4197774c8d7- 1Tenacityfalse
- 2Insolentfalse
- 3Resolutefalse
- 4Reliabletrue
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उत्तर : 4. "Reliable"
व्याख्या :
Answer: D) Reliable Explanation:
प्र: In a plane 8 points are colliner out of 12 points, then the number of triangles we get with those 12 points is 1046 05b5cc7b4e4d2b419777508ab
5b5cc7b4e4d2b419777508ab- 120false
- 2160false
- 3164true
- 4220false
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उत्तर : 3. "164"
व्याख्या :
Answer: C) 164 Explanation: For a triangle, we need 3 non-collinear points. So with 12 points (when all the 12 are such that any three non-collinear is12C3. But among them 8 points are collinear. If all these 8 points are different we get 8C3 triangles as they are collinear. In 12C3 triangles, we do not get 8C3 triangles Therefore, The number of triangles we get = 12C3-8C3 = 164