GATE प्रश्न और उत्तर का अभ्यास करें
8प्र: 5 men and 4 women are to be seated in a row so that the women occupy the even places . How many such arrangements are possible? 2266 15b5cc7d1e4d2b4197775129f
5b5cc7d1e4d2b4197775129f- 12880true
- 21440false
- 3720false
- 42020false
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उत्तर : 1. "2880"
व्याख्या :
Answer: A) 2880 Explanation: There are total 9 places out of which 4 are even and rest 5 places are odd. 4 women can be arranged at 4 even places in 4! ways. and 5 men can be placed in remaining 5 places in 5! ways. Hence, the required number of permutations = 4! x 5! = 24 x 120 = 2880
प्र: Sonika invested an amount of Rs.5800 for 2 years. At what rate of compound interest will she get an amount of Rs.594.50 at the end of 2 years ? 2265 05b5cc73ae4d2b4197774f89c
5b5cc73ae4d2b4197774f89c- 16.5%false
- 26%false
- 35%true
- 44.5%false
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उत्तर : 3. "5%"
व्याख्या :
Answer: C) 5% Explanation: C.I = P1+r100t-1 594.5 = 58001+r1002-1 594.55800+1=1+r1002 r100=1.05-1=0.05=> r = 5 % .
प्र: The arithmetic mean of the following numbers 1, 2, 2, 3, 3, 3, 4, 4, 4, 4, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6 and 7, 7, 7, 7, 7, 7, 7 is ? 2265 05b5cc6dee4d2b4197774ea60
5b5cc6dee4d2b4197774ea60- 16false
- 29false
- 37false
- 45true
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उत्तर : 4. "5"
व्याख्या :
Answer: D) 5 Explanation: Arithmatic mean = sum/members => (1x1 + 2x2 + 3x3 + 4x4 + 5x5 + 6x6 + 7x7) / (1 + 2 + 3 + 4 + 5 + 6 + 7) => 140/28 = 5
प्र: Which Indian state shares the most borders with other states? 2259 05b5cc626e4d2b4197774b850
5b5cc626e4d2b4197774b850- 1Uttarakhandfalse
- 2Rajasthanfalse
- 3Madhya Pradeshfalse
- 4Uttar Pradeshtrue
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उत्तर : 4. "Uttar Pradesh"
व्याख्या :
Answer: D) Uttar Pradesh Explanation: Uttar Pradesh is the Indian state which share the most borders with 9 different states. Neighbouring States of Uttar Pradesh – Uttarakhand and Himachal Pradesh in northwest, Delhi, Haryana and Rajasthan in west, Madhya Pradesh in south, Chhattisgarh in southeast, Bihar and Jharkhand in east.
प्र: A tailor has 37.5 metres of cloth and he has to make 8 pieces out of a metre of cloth. How many pieces can he make out of half of the cloth he has ? 2258 05b5cc6dfe4d2b4197774eb0c
5b5cc6dfe4d2b4197774eb0c- 1300false
- 2150true
- 3175false
- 4200false
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उत्तर : 2. "150"
व्याख्या :
Answer: B) 150 Explanation: Half of the cloth = 37.5/2 From 1 meter he will make 8 pieces=> in 37.5/2 ---- ? 37.5/2 x 8 = 150.
प्र: The capacity of a tank is 2400 m3. A pump can be used both for filling and emptying the tank. The emptying capacity of the pump is 10 m3/minute higher than its filling capacity. And also, the pump needs 8 minutes less to empty the tank than to fill it. Find the filling capacity of the pump. 2256 05b5cc6b1e4d2b4197774d332
5b5cc6b1e4d2b4197774d332- 146 cub.m/minfalse
- 244 cub.m/minfalse
- 348 cub.m/minfalse
- 450 cub.m/mintrue
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उत्तर : 4. "50 cub.m/min"
व्याख्या :
Answer: D) 50 cub.m/min Explanation: Let filling capacity of the pump be 'F' m3/min Then, the filling capacity of the pump will be (F + 10) m3/min From the given data, 2400F - 2400F+10= 8⇒ 2400 F+10-FF(F+10) =8⇒ F2 + 10F - 3000 = 0⇒ F = 50 m3/min
प्र: What comes next in this sequence 196, 169, 144, 121, 100, 81, ? 2253 05b5cc6ade4d2b4197774d13e
5b5cc6ade4d2b4197774d13e- 177false
- 274false
- 367false
- 464true
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उत्तर : 4. "64"
व्याख्या :
Answer: D) 64 Explanation: The given number series follows a pattern that 196, 169, 144, 121, 100, 81, ? -27 -25 -23 -21 -19 -17 => 81 - 17 = 64 Therefore, the series is 196, 169, 144, 121, 100, 81, 64.
प्र: A circular piece of thin wire is converted into a rhombus of side 11 cm. Find the diameter of the circular piece? 2251 05b5cc6bbe4d2b4197774d85d
5b5cc6bbe4d2b4197774d85d- 128 cmfalse
- 23.5 cmfalse
- 37 cmfalse
- 414 cmtrue
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उत्तर : 4. "14 cm"
व्याख्या :
Answer: D) 14 cm Explanation: Circular piece is 4 x 11 = 44 cm long, Then Circumference of circle is given by, 44 = pi x D, where D is the diameter D = 44 / pi Take pi = 22 / 7, then D = 44 / (22/7) = (44 x 7) / 22 D = 14 cm.

