GATE Practice Question and Answer
8Q: The ratio of two positive numbers is 3 : 5 and the average of the number is 48. What is the product of numbers? 3760 15b5cc607e4d2b4197774b558
5b5cc607e4d2b4197774b558- 13365false
- 22160true
- 31854false
- 41632false
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Answer : 2. "2160"
Explanation :
Answer: B) 2160 Explanation: Let the number be 3p and 5p ATQ, 8p = 2 x 48 p = 96/8 p = 12 The numbers are 36 and 60. Hence, the product of the numbers = 36 x 60 = 2160.
Q: At 6′o clock a clock ticks 6 times. The time between first and last ticks is 30 seconds. How long does it tick at 12′o clock ? 3756 05b5cc731e4d2b4197774f7ec
5b5cc731e4d2b4197774f7ec- 166 sectrue
- 255 secfalse
- 336 secfalse
- 424 secfalse
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Answer : 1. "66 sec"
Explanation :
Answer: A) 66 sec Explanation: For ticking 6 times, there are 5 intervals. Each interval has time duration of 30/5 = 6 secs At 12 o'clock, there are 11 intervals,so total time for 11 intervals = 11 x 6 = 66 secs.
Q: At the university entrance exam, a candidate is admitted according to whether he has passed or failed the test. Of the candidates who are really capable, 80 % pass the test and of the incapable, 30 % pass the test. Given that 40 % of the candidates are really capable, then the proportion of the really capable students who can pass the test to the total students who can pass is about ? 3745 05b5cc74ae4d2b4197774fa77
5b5cc74ae4d2b4197774fa77- 111/24false
- 21/5false
- 316/25true
- 46/5false
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Answer : 3. "16/25"
Explanation :
Answer: C) 16/25 Explanation: If there are total 100 candidates, 40 candidates are really capable and 60 candidates are incapable.Of the candidates who are really capable = 80% 40*(80/100)=32 pass the test andof the incapable= 30%60*(30/100)=18 pass the test.Total candidates who passed the test = 32+18 = 50The proportion of the really capable students who can pass the test to the total students who can pass = 32/50 = 16/25.
Q: Transition : Change :: Immobility : ? 3743 05b5cc6a2e4d2b4197774cb56
5b5cc6a2e4d2b4197774cb56- 1Stillnesstrue
- 2Livelinessfalse
- 3Actionfalse
- 4Busynessfalse
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Answer : 1. "Stillness"
Explanation :
Answer: A) Stillness Explanation: Given Transition is to Change, and we know that Transition and change are Synonyms. Similarly, Immobility means not moving and synonym of immobility are motionlessness, stillness,... Hence, Transition is to change as immobility is to stillness.
Q: The ratio of the incomes of Pavan and Amar is 4 : 3 and the ratio of their expenditures are 3:2. If each person saves Rs. 1889, then find the income of Pavan? 3742 05b5cc6bee4d2b4197774d992
5b5cc6bee4d2b4197774d992- 16548false
- 25667false
- 37556true
- 48457false
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Answer : 3. "7556"
Explanation :
Answer: C) 7556 Explanation: Let ratio of the incomes of Pavan and Amar be 4x and 3x and Ratio of their expenditures be 3y and 2y 4x - 3y = 1889 ......... I and 3x - 2y = 1889 ...........II I and II y = 1889 and x = 1889 Pavan's income = 7556
Q: Difference between two numbers is 5, six times of the smaller lacks by 6 from the four times of the greater. Find the numbers ? 3730 05b5cc6dce4d2b4197774e979
5b5cc6dce4d2b4197774e979- 112 & 7true
- 213 & 8false
- 315 & 10false
- 414 & 9false
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Answer : 1. "12 & 7"
Explanation :
Answer: A) 12 & 7 Explanation: x – y = 5 4x – 6y = 6 x = 12 y = 7
Q: Two men A and B start from place X walking at 4 ½ kmph and 5 ¾ kmph respectively. How many km apart they are at the end of 3 ½ hours if they are walking in the same direction ? 3727 05b5cc6eee4d2b4197774ef11
5b5cc6eee4d2b4197774ef11- 12 9/7 kmfalse
- 23 7/5 kmfalse
- 31 3/4 kmfalse
- 44 3/8 kmtrue
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Answer : 4. "4 3/8 km"
Explanation :
Answer: D) 4 3/8 km Explanation: Relative Speed = 5 ¾ - 4 ½ = 1 ¼ Time = 3 ½ h. Distance = 5/4 x 7/2 = 35/8 = 4 3/8 km.
Q: A university library budget committee must reduce exactly five of eight areas of expenditure—I, J, K, L, M, N, O and P—in accordance with the following conditions: If both I and O are reduced, P is also reduced.If L is reduced, neither N nor O is reduced.If M is reduced, J is not reduced.Of the three areas J, K, and N exactly two are reduced. Question : If both K and N are reduced, which one of the following is a pair of areas neither of which could be reduced? 3724 05b5cc6b1e4d2b4197774d2f4
5b5cc6b1e4d2b4197774d2f4- 1I, Lfalse
- 2J, Ltrue
- 3J, Mfalse
- 4I, Jfalse
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Answer : 2. "J, L"
Explanation :
Answer: B) J, L Explanation: This question concerns a committee’s decision about which five of eight areas of expenditure to reduce. The question requires you to suppose that K and N are among the areas that are to be reduced, and then to determine which pair of areas could not also be among the five areas that are reduced. The fourth condition given in the passage on which this question is based requires that exactly two of K, N, and J are reduced. Since the question asks us to suppose that both K and N are reduced, we know that J must not be reduced: Reduced :: K, NNot reduced :: J The second condition requires that if L is reduced, neither N nor O is reduced. So L and N cannot both be reduced. Here, since N is reduced, we know that L cannot be. Thus, adding this to what we’ve determined so far, we know that J and L are a pair of areas that cannot both be reduced if both K and N are reduced: Reduced :: K, NNot reduced :: J, L Answer choice (B) is therefore the correct answer.

