GATE Practice Question and Answer
8Q: M, N and O can complete the work in 18, 36 and 54 days respectively. M started the work and worked for 8 days, then N and O joined him and they all worked together for some days. M left the job one day before completion of work. For how many days they all worked together? 2705 05b5cc695e4d2b4197774c4fb
5b5cc695e4d2b4197774c4fb- 14false
- 25true
- 33false
- 46false
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Answer : 2. "5"
Explanation :
Answer: B) 5 Explanation: Let M, N and O worked together for x days. From the given data,M alone worked for 8 daysM,N,O worked for x daysN, O worked for 1 day But given thatM alone can complete the work in 18 daysN alone can complete the work in 36 daysO alone can complete the work in 54 days The total work can be the LCM of 18, 6, 54 = 108 units M's 1 day work = 108/18 = 6 unitsN's 1 day work = 108/36 = 3 unitsO's 1 day work = 108/54 = 2 units Now, the equation is8 x 6 + 11x + 5 x 1 = 10848 + 11x + 5 = 10811x = 103 - 4811x = 55x = 5 days. Hence, all M,N and O together worked for 5 days.
Q: Find the missing number in the series 1, 6, ?, 15, 45, 66, 91 2692 15b5cc6afe4d2b4197774d230
5b5cc6afe4d2b4197774d230- 124false
- 228true
- 332false
- 426false
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Answer : 2. "28"
Explanation :
Answer: B) 28 Explanation: Here the given series 1, 6, ?, 15, 45, 66, 91 follows a Pattern in the series is, +5, +9, +13,...,.. +21, +25 So +4 is getting increased at every term addition. Missing Number in the series will be 15+(9+4) = 15 + 13 = 28.
Q: When Raj Tarun was born, his father was 32 years older than his brother and his mother was 25 years older than his sister. If Raj Tarun's brother is 6 years older than Raj Tarun and his mother is 3 years younger than his father, how old was Raj Tarun's sister when Raj Tarun was born ? 2691 05b5cc74ae4d2b4197774fa6d
5b5cc74ae4d2b4197774fa6d- 15false
- 210true
- 315false
- 48false
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Answer : 2. "10"
Explanation :
Answer: B) 10 Explanation: Raj Tarun's age = 0 when he was born.Then, given his brother is 6 years old.Then his father is 6 + 32 = 38 when Raj Tarun was bornAnd his mother is 3 years yonger than his father => so his mother was 35 years old when Raj Tarun was bornand his sister is 25 year younger than his mother so Raj Tarun's sister was 10 years old when Raj Tarun was born.
Q: A student can divide her books into groups of 5, 9 and 13. what is the smallest possible number of the books ? 2690 05b5cc74ae4d2b4197774fab3
5b5cc74ae4d2b4197774fab3- 1487false
- 2585true
- 3635false
- 4705false
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Answer : 2. "585"
Explanation :
Answer: B) 585 Explanation: The smallest possible number of books = L.C.M of 5, 9 and 13.Therefore, L.C.M of 5,9 and 13 is = 5 x 9 x 13 = 585.
Q: If Riya's age is four times the age of Siya and if Riya's age is 24 yrs , find the age difference between Riya and Siya ? 2689 05b5cc6dce4d2b4197774e98d
5b5cc6dce4d2b4197774e98d- 12 yrsfalse
- 212 yrsfalse
- 318 yrstrue
- 46 yrsfalse
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Answer : 3. "18 yrs"
Explanation :
Answer: C) 18 yrs Explanation: Let Siya's age = x Then Riya's age = 4x But given Riya's age = 24 => 4x = 24 => x = 6 Hence Siya's age = 6 yrs => The age difference = 24 - 6 = 18 yrs.
Q: In the following options, select the one which is different from the other three ? 2689 05b5cc6c1e4d2b4197774db32
5b5cc6c1e4d2b4197774db32- 1Concentrationfalse
- 2Concoursefalse
- 3Radiationtrue
- 4Confluencefalse
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Answer : 3. "Radiation"
Explanation :
Answer: C) Radiation Explanation: Radiation shows the property of spreading while the rest three shows concentration at a point.
Q: In a certain code language, 'is uc he bh kr' mean 'Lucky likes to dance freely', 'ha by lm kr op' mean 'Dance can be a hobby', 'he id ac kr bh' mean 'Lucky teaches dance to kids' and 'kr id bh tw uc' mean 'Kids dance freely with Lucky'. Now answer the given question. 'Lucky likes to dance with kids' can be coded as ? 2687 05b5cc6cae4d2b4197774e031
5b5cc6cae4d2b4197774e031- 1he kr op id uc twfalse
- 2bh is he kr tw idtrue
- 3ac tw op bh uc idfalse
- 4None of the abovefalse
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Answer : 2. "bh is he kr tw id"
Explanation :
Answer: B) bh is he kr tw id Explanation: From given data, codes for Lucky - bh Likes - is to - he Dance - kr with - tw Kids - id Hence, Lucky like to dance with kids can be coded as 'bh is he kr tw id'.
Q: 82.5% of 2360? 2687 05b5cc60ae4d2b4197774b5a1
5b5cc60ae4d2b4197774b5a1- 11960false
- 21954false
- 31947true
- 41931false
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Answer : 3. "1947"
Explanation :
Answer: C) 1947 Explanation: Given 82.5% of 2360 82.5100 x 2360 = 0.825 x 2360 = 1947