GATE Practice Question and Answer
8Q: The difference of two numbers is 1365. On dividing the larger number by the smaller, we get 6 as quotient and 15 as remainder. What is the smaller number ? 1666 05b5cc6dbe4d2b4197774e94b
5b5cc6dbe4d2b4197774e94b- 1270true
- 21270false
- 3350false
- 4720false
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Answer : 1. "270"
Explanation :
Answer: A) 270 Explanation: Let the smallest number be x.Then larger number = (x + 1365)x + 1365 = 6x + 15= 5x = 1350 x = 270Smaller number = 270.
Q: What will come in place of question mark (?) in the following number series? 4, 3, 4, 7, 15, ? 1665 05b5cc6c5e4d2b4197774dde6
5b5cc6c5e4d2b4197774dde6- 142false
- 244true
- 353false
- 456false
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Answer : 2. "44"
Explanation :
Answer: B) 44 Explanation: 4 3 4 7 15 ? ×1-1 ×1+1 ×2-1 ×2+1 ×3-1 15x3 - 1 = 45 - 1 = 44
Q: The price of 2 oranges, 3 bananas and 4 apples is Rs. 15. The price of 3 oranges, 2 bananas and 1 apple is Rs. 10. What will be price of 4 oranges, 4 bananas and 4 apples ? 1665 05b5cc6c9e4d2b4197774df5a
5b5cc6c9e4d2b4197774df5a- 1Rs. 10false
- 2Rs. 15false
- 3Rs. 20true
- 4Rs. 25false
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Answer : 3. "Rs. 20"
Explanation :
Answer: C) Rs. 20 Explanation: Let the Oranges be 'O', Bananas be 'B' and Apples be 'A' From the given data, 2O + 3B + 4A = 15 ...... (I) 3O + 2B + A = 10 ..... (II) On adding (I) and (II), 5O + 5B + 5A = 25 O + B + A = 5 4O + 4B + 4A = 20.
Q: 3 : 12 :: 5 : ? 1665 05b5cc6b9e4d2b4197774d702
5b5cc6b9e4d2b4197774d702- 117false
- 230true
- 326false
- 432false
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Answer : 2. "30"
Explanation :
Answer: B) 30 Explanation: 332 + 3 = 12552 + 5 = 30
Q: In the given number series which follows the definite rules then find out the value of (M, N, O, and P) in second number series. 7 18 42 94 204 4 M N O P What value will come in place of P? 1664 05b5cc6b4e4d2b4197774d4e8
5b5cc6b4e4d2b4197774d4e8- 1179false
- 2184false
- 3164false
- 4156true
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Answer : 4. "156"
Explanation :
Answer: D) 156 Explanation: Here the given series 7 18 42 94 204 follows a pattern that, 7 7 ×2+4 = 18 18 ×2+6 = 42 42 ×2+10 = 94 94 ×2+16 = 204 Similarly, 4 4 ×2+4 = 12 12 ×2+6 = 30 30 ×2+10 = 70 70 ×2+16 = 156 Hence, the value of P = 156.
Q: An automobile financier claims to be lending money at S.I., but he includes the interest every six months for calculating the principal. If he is charging an interest of 8%, the effective rate of interest becomes ? 1662 05b5cc6dce4d2b4197774e96a
5b5cc6dce4d2b4197774e96a- 110.25 %false
- 28.16 %true
- 39.63 %false
- 40.16 %false
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Answer : 2. "8.16 %"
Explanation :
Answer: B) 8.16 % Explanation: Let the sum be Rs. 100. Then,S.I. for first 6 months = (100 x 8 x 1) / (100 x 2) = Rs. 4S.I. for last 6 months = (104 x 8 x 1) / (100 x 2) = Rs. 4.16So, amount at the end of 1 year = (100 + 4 + 4.16) = Rs. 108.16Effective rate = (108.16 - 100) = 8.16%.
Q: If a carrier wave of 1000 kHz is used to carry the signal, the length of transmitting antenna will be equal to _____ ? 1661 05b5cc6d9e4d2b4197774e853
5b5cc6d9e4d2b4197774e853- 1300 mtrue
- 230 mfalse
- 33 mfalse
- 40.3 mfalse
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Answer : 1. "300 m"
Explanation :
Answer: A) 300 m Explanation: h = = 3 × 108/106 = 300 m
Q: Which of the following is a false statement? 1661 05b5cc6a6e4d2b4197774cd1d
5b5cc6a6e4d2b4197774cd1d- 1As bond order increases the strength of the bond increasesfalse
- 2Bond order is proportional to the bond lengthtrue
- 3Molecules with negative bond order are highly unstablefalse
- 4Bond order is inversely proportional to the bond lengthfalse
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Answer : 2. "Bond order is proportional to the bond length"
Explanation :
Answer: B) Bond order is proportional to the bond length Explanation: Bond order is proportional to the bond length is a False statement since Bond order is inversely proportional to the bond length.