GATE Practice Question and Answer
8Q: If 1/a+1/b+1/c = 1/(a+b+c) where a+b+c not equals '0', abc not equals '0', What is the value of (a+b) (b+c) (a+c) ? 1340 05b5cc709e4d2b4197774f258
5b5cc709e4d2b4197774f258- 13false
- 22false
- 31false
- 40true
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Answer : 4. "0"
Explanation :
Answer: D) 0 Explanation: Let assume the value of a,b &c that will satisfy the equation.so a=1,b=1,c= -1 or a=1,b= -1 &c=1 or a= -1,b=1,c=1here all three cases satisfy the equationassume any one a=1,b=1,c= -1 Hence (a+b)(b+c)(c+a)=(1+1)(1-1)(-1+1) = 0
Q: There are 3 bags, in 1st there are 9 Mangoes, in 2nd 8 apples & in 3rd 6 bananas. There are how many ways you can buy one fruit if all the mangoes are identical, all the apples are identical, & also all the Bananas are identical ? 1297 05b5cc705e4d2b4197774f253
5b5cc705e4d2b4197774f253- 123true
- 2432false
- 322false
- 4431false
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Answer : 1. "23"
Explanation :
Answer: A) 23 Explanation: As in this problem , buying any fruit is different case , as buying apple is independent from buying banana. so ADDITION rule will be used. C19+C18+C16 = 23 will be answer.
Q: The average age of the district level hockey team of eleven is 22 years.The average age gets increased by 1 year when the coach age is also included.what is the age of the coach ? 1750 05b5cc705e4d2b4197774f24e
5b5cc705e4d2b4197774f24e- 133 yrsfalse
- 234 yrstrue
- 335 yrsfalse
- 436 yrsfalse
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Answer : 2. "34 yrs"
Explanation :
Answer: B) 34 yrs Explanation: Total age of players in team = 22 x 11 = 242When coach is included, total members = 12, Avg age increases by one becomes 23Total age when coach is included = 23x12 = 276Age of coach = 276-242 = 34 yrs.
Q: Jagan went to another town covering 240 km by car moving at 60 kmph. Then he covered 400km by train moving at 100 kmph and then rest 200 km he covered by a bus moving at 50 kmph. The average speed during the whole journey was ? 2497 05b5cc705e4d2b4197774f244
5b5cc705e4d2b4197774f244- 136 kmphfalse
- 235 kmphfalse
- 372 kmphfalse
- 470 kmphtrue
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Answer : 4. "70 kmph"
Explanation :
Answer: D) 70 kmph Explanation: By car 240 km at 60 kmphTime taken = 240/60 = 4 hr. By train 240 km at 60 kmphTime taken = 400/100 = 4 hr. By bus 240 km at 60 kmphTime taken = 200/50 = 4 hr. So total time = 4 + 4 + 4 = 12 hr. and total speed = 240+400+200 = 840 kmAverage speed of the whole journey = 840/12 = 70 kmph.
Q: About 4 out of 5 students are left handed. If there are totally 40 students in an class. How many would be left handed ? 1152 05b5cc705e4d2b4197774f220
5b5cc705e4d2b4197774f220- 140false
- 245false
- 332true
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Answer : 3. "32"
Explanation :
Answer: C) 32 Explanation: Probability of left handed = 4/5total student = 40total left handed = 40 x(4/5)= 32
Q: What is the first term of an arithmetic progression of positive integers ? (I) Sum of the squares of the first and the second term is 116. (II)The fifth term is divisible by 7. 1389 05b5cc705e4d2b4197774f21b
5b5cc705e4d2b4197774f21b- 1Only a is sufficienttrue
- 2Only b is sufficientfalse
- 3Both a & b are necessaryfalse
- 4Nonefalse
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Answer : 1. "Only a is sufficient"
Explanation :
Answer: A) Only a is sufficient Explanation: The sum of square of two no is 116 i.e no lie 1-11, because 11x11 =121 which is greater than 116 again after cheaking all possible pair of no only 4 and 10 satisfy this condsn , again the progression is of positive integer so 10 cant not be 1st termso the 1st term is 4,but from the 2nd we cant able to find the 1st term so only 1st statement is sufficient to answer the question
Q: A duster is of dimension 5x5x7 all in cms, is sinked into a cylindrical vessel of radius 5 cm and height 10 cm. After insertion the level of the water is inccresed by 2.14 cm. Then by what percentage the part of the duster is above the layer ? 1114 05b5cc705e4d2b4197774f216
5b5cc705e4d2b4197774f216- 196 %false
- 24 %true
- 397 %false
- 43 %false
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Answer : 2. "4 %"
Explanation :
Answer: B) 4 % Explanation: Imension of the duster is assumed as 5x5x7 cm3 Volume of the duster below the water layer= volume of water increased= πxrxrxh = 3.14×52×2.14 ≈ 168 cm3 Total volume of the duster = 5×5×7 = 175 cm3 Percentage of the duster part below the layer = 168×100/175 = 96% Percentage of the duster part above the layer = 4%
Q: There are 10 Letters and 10 correspondingly 10 different Address. If the letter are put into envelope randomly, then find the Probability that Exactly 9 letters will at the Correct Address ? 1781 05b5cc705e4d2b4197774f1ee
5b5cc705e4d2b4197774f1ee- 11/10false
- 21/9false
- 31false
- 40true
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Answer : 4. "0"
Explanation :
Answer: D) 0 Explanation: As we know we have 10 letter and 10 different address and one more information given that exactly 9 letter will at the correct address....so the remaining one letter automatically reach to their correct address P(E) = favorable outcomes /total outcomesHere favorable outcomes are '0'.So probability is '0'.