GATE Practice Question and Answer
8Q: Which fraction comes next in the sequence 23, 13, 527, 781, ? 2531 05b5cc758e4d2b4197774fbda
5b5cc758e4d2b4197774fbda- 11/27true
- 211/278false
- 39/48false
- 47/123false
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Answer : 1. "1/27"
Explanation :
Answer: A) 1/27 Explanation: Clearly, the numerators of the fractions in the given sequence follow the series of 2, 3, 5, 7,... and the denominator follows 3, 9, 27, 81, 243, ...Then, the next term in the given sequence is 935 = 9243 = 127 .
Q: Which statement is true of all atoms that are anions? 2528 05b5cc64de4d2b4197774bc7a
5b5cc64de4d2b4197774bc7a- 1The atom has fewer protons than does a neutral atom of the same element.false
- 2The atom has more protons than electrons.false
- 3The atom has more neutrons than protons.false
- 4The atom has more electrons than protons.true
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Answer : 4. "The atom has more electrons than protons."
Explanation :
Answer: D) The atom has more electrons than protons. Explanation: Anions are atoms or radicals (groups of atoms), that have gained electrons. Since they now have more electrons than protons, anions have a negative charge.
Q: In a year, Holi was enjoyed on 6th March 9 AM and Deepawali was celebrated on 11th November 8 PM. The total time interval (in hours) between the two was ? 2527 05b5cc73ae4d2b4197774f8ab
5b5cc73ae4d2b4197774f8ab- 12101 hrsfalse
- 24125 hrsfalse
- 35124 hrsfalse
- 46011 hrstrue
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Answer : 4. "6011 hrs"
Explanation :
Answer: D) 6011 hrs Explanation: From March 6th to November 11th, there are 250 days and Thus 250 x 24 hoursSo from Mar 6th 9AM to Nov 11th 8PM, there will be 250 x 24 + 11 hours = 6011 hrs.
Q: What number should replace the question mark? 125, 138, 164, ?, 255 2526 05b5cc6a1e4d2b4197774cabd
5b5cc6a1e4d2b4197774cabd- 1189false
- 2197false
- 3200false
- 4203true
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Answer : 4. "203"
Explanation :
Answer: D) 203 Explanation: The given number series is 125, 138, 164, ?, 255 125 125 + 13x1 = 138 138 + 13x2 = 164 164 + 13x3 = 203 203 + 13x4 = 255 Hence, the missing number in the series is 203.
Q: Cup is to Coffee as Bowl is to 2526 05b5cc6afe4d2b4197774d206
5b5cc6afe4d2b4197774d206- 1Souptrue
- 2Foodfalse
- 3Forkfalse
- 4Mugfalse
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Answer : 1. "Soup"
Explanation :
Answer: A) Soup Explanation: Cup : Coffee :: Bowl : Soup Because Coffee goes into a Cup and Soup goes into a Bowl where Food is a general thing and Mug is an other utensil. So, Cup is to Coffee as Bowl is to Soup.
Q: Only if Sheela is happy, then she does not go to work. 2523 05b5cc761e4d2b4197774fd20
5b5cc761e4d2b4197774fd20- 1Sheela is not happy and she goes to work.true
- 2Sheela is happy and she does not go to workfalse
- 3Sheela is not happy and she does not go to work.false
- 4Sheela is happy and she goes to work.false
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Answer : 1. "Sheela is not happy and she goes to work."
Explanation :
Answer: A) Sheela is not happy and she goes to work. Explanation: The event of "Sheela is not going to work" happens only when the event "Sheela is happy" happens. Also, if the event "Sheela is happy" does not happen, then the event "Sheela is not going to work" will not happen. In other words, if it is true that Sheela is not happy, then it means that Sheela is going to work.
Q: Which of the following statements about Woodrow Wilson is true? 2519 05b5cc60de4d2b4197774b613
5b5cc60de4d2b4197774b613- 1He wanted to place strict government controls on corporations.true
- 2He overturned discriminatory laws against African Americans.false
- 3He advocated eliminating the income tax.false
- 4He opposed reforms to the banking system.false
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Answer : 1. "He wanted to place strict government controls on corporations."
Explanation :
Answer: A) He wanted to place strict government controls on corporations. Explanation: Woodrow Wilson was one of the major "Progressives" in American government and so 'He wanted to place strict government controls on corporations.'
Q: The top and bottom of a tower were seen to be at angles of depression 30° and 60° from the top of a hill of height 100 m. Find the height of the tower ? 2518 15b5cc72ce4d2b4197774f79c
5b5cc72ce4d2b4197774f79c- 142.2 mtsfalse
- 233.45 mtsfalse
- 366.6 mtstrue
- 458.78 mtsfalse
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Answer : 3. "66.6 mts"
Explanation :
Answer: C) 66.6 mts Explanation: From above diagramAC represents the hill and DE represents the tower Given that AC = 100 m angleXAD = angleADB = 30° (∵ AX || BD ) angleXAE = angleAEC = 60° (∵ AX || CE) Let DE = h Then, BC = DE = h, AB = (100-h) (∵ AC=100 and BC = h), BD = CE tan 60°=AC/CE => √3 = 100/CE =>CE = 100/√3 ----- (1) tan 30° = AB/BD => 1/√3 = 100−h/BD => BD = 100−h(√3)∵ BD = CE and Substitute the value of CE from equation 1 100/√3 = 100−h(√3) => h = 66.66 mts The height of the tower = 66.66 mts.