GATE Practice Question and Answer
8Q: If (2a + 3b)/(5a - 3b) = 23/5 , then the value of ba is ? 1734 05b5cc761e4d2b4197774fd39
5b5cc761e4d2b4197774fd39- 15false
- 24false
- 320true
- 428false
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Answer : 3. "20"
Explanation :
Answer: C) 20 Explanation: Given (2a + 3b)/(5a - 3b) = 23/5 => 10a + 15b = 115a - 69b=> 105a = 84b => 5a = 4b a/b = 4/5 => a=4 & b=5=> bxa = 5x4 = 20.
Q: On her deathbed, a grand mother called upon his three grand sons and told them to distribute all her assets worth Rs. 52,500 in the ratio of 1/35 : 1/21 : 1/15 amongst themselves. Find the smallest share amongst the three portions ? 1333 05b5cc761e4d2b4197774fd3f
5b5cc761e4d2b4197774fd3f- 1Rs. 5422false
- 2Rs. 10,500true
- 3Rs. 12,800false
- 4Rs. 15,000false
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Answer : 2. "Rs. 10,500"
Explanation :
Answer: B) Rs. 10,500 Explanation: The ratio of distribution should be: 21 x 15 : 15 x 35 : 35 x 21= 315 : 525 : 735 = 3 : 5 : 7The smallest share will be of worth: 3/15 x 52,500 = Rs. 10,500
Q: A cuboid shaped wooden block has 6 cm length, 4 cm breadth and 1 cm height.Two faces measuring 4 cm x 1 cm are coloured in black.Two faces measuring 6 cm x 1 cm are coloured in red.Two faces measuring 6 cm x 4 cm are coloured in green.The block is divided into 6 equal cubes of side 1 cm (from 6 cm side), 4 equal cubes of side 1 cm(from 4 cm side). How many cubes will have green colour on two sides and rest of the four sides having no colour ? 7307 05b5cc761e4d2b4197774fd34
5b5cc761e4d2b4197774fd34- 18true
- 224false
- 316false
- 44false
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Answer : 1. "8"
Explanation :
Answer: A) 8 Explanation: There are 16 small cubes attached to the outer walls of the cuboid.Therefore remaining inner small cubes will be the cubes having two sides green coloured.So the required number = 24 - 16 = 8
Q: P’s son Q is married with R whose sister S is married to T the brother of Q. How S is related to P ? 1434 05b5cc761e4d2b4197774fd2f
5b5cc761e4d2b4197774fd2f- 1Daughter-in-lawtrue
- 2Sisterfalse
- 3Cousinfalse
- 4Sister-in-lawfalse
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Answer : 1. "Daughter-in-law"
Explanation :
Answer: A) Daughter-in-law Explanation: Since T is the brother of QTherefore, P is the father of Tbut S is the wife of T.Hence, S is the daughter-in-law of P.
Q: B3D means B is the father of D.B7D means B is the sister of D.B2D means B is the brother of D.B1D means B is the wife of D. Which of the following means F is the mother of K? 1449 05b5cc761e4d2b4197774fd25
5b5cc761e4d2b4197774fd25- 1F3M1Kfalse
- 2F9M4N3Kfalse
- 3K3M4N5Ffalse
- 4F1M3Ktrue
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Answer : 4. "F1M3K"
Explanation :
Answer: D) F1M3K Explanation: From the given information, F1M → F is the wife of MM3K → M is the father of KTherefore, F is the mother of K.
Q: Salaries of Karthik, Arun and Akhil were in the ratio 4 : 5 : 6 respectively. If their salaries were increased by 50 per cent, 60 per cent and 50 per cent respectively, what will be the new ratio of the salaries of Akhil, Arun and Karthik ? 1442 05b5cc761e4d2b4197774fd2a
5b5cc761e4d2b4197774fd2a- 16 : 8 : 9false
- 28 : 6 : 9false
- 39 : 8 : 6true
- 46 : 5 : 4false
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Answer : 3. "9 : 8 : 6"
Explanation :
Answer: C) 9 : 8 : 6 Explanation: Given the salaries are in the ratio of 4 : 5 : 6 Now the salaries are increased by 50%, 60% and 50% respectively The New ratio of salaries will be 4 x (150/100) : 5 x (160/100) : 6 x (150/100) = 6 : 8 : 9 The new ratio of salaries of Akhil, Arun and Karthik is 9 : 8 : 6
Q: Statement: Properly fed and starved monkeys were made to run through a network of paths designed as a puzzle. It was observed that the starved monkeys could not run faster. This proved that the people with lower intelligence in poor countries are a victim of malnutrition.Course of action:a. The effects of nutrition on the intelligence of the monkeys is parallel to those on human beings.b. Captive monkeys are more intelligent than wild monkeys. 1513 05b5cc761e4d2b4197774fd1b
5b5cc761e4d2b4197774fd1b- 1Only b followsfalse
- 2Only a followstrue
- 3Both a & b followsfalse
- 4Neither a nor b followsfalse
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Answer : 2. "Only a follows"
Explanation :
Answer: B) Only a follows Explanation: The proper nourishment will make the monkeys or human beings work properly. So, the course of action I follows. Course of action II does not follow as there is no information about captive or wild monkeys.
Q: Only if Sheela is happy, then she does not go to work. 1890 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.