GATE Practice Question and Answer
8Q: How many valence electrons are in carbon? 1996 05b5cc6a6e4d2b4197774cd4c
5b5cc6a6e4d2b4197774cd4c- 12false
- 24true
- 36false
- 43false
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Answer : 2. "4"
Explanation :
Answer: B) 4 Explanation: The main group number for an element can be found from its column on the periodic table. For example, carbon is in group 4 and has 4 valence electrons. Oxygen is in group 6 and has 6 valence electrons.
Q: Four girls Robin, Mandy, Stacy, Erica of four families Miller, Jacob, Flure and Clark prepare four salads using the fruits Apples, cherries, bananas, grapes .Each girls uses 3 fruits in her salad. No body have the same combination. 1) Robin not a Miller girl uses apples.2) Miller and Mandy uses apples and cherries. 3) Clark uses cherries and grapes but Flure uses only one of them.4) Erica is not Clark nor Flure. Question : Give all combinations of Girls with their family and salads ? 1996 05b5cc70ee4d2b4197774f341
5b5cc70ee4d2b4197774f341- Show AnswerHide Answer
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Answer :
Explanation :
Out of 4 fruits, any 3 are chosen by 4 families.So the combinations areApple - A Cherries - C Banana - B Grapes - G1) ACB2) ACG3) BCG4) GAB By 2nd condition, Miller family uses either i)ACB or ii)ACGNow we have Robin, Mandy and Miller who uses apples (ACB,ACG,GAB)while Miller and Mandy both uses A and C. That leaves GAB for Robin. By 3rd condition Flure uses either C or G. So if we leave out the terms containing both C and G, we are left with ACB and GAB Now, for the time being let's suppose Robin is not a Flure.So ACB is taken by Flure. So ACG has to be Miller and that leaves BCG to be Clark. So we get Robin - Jacob(GAB). By 4th and 2nd conditions Erica and Mandy belong to the first two. That leaves Stacy - Clark(BCG). By 2nd condition Mandy is not a Miller, so we get Mandy - Flure(ACB) and that leaves Erica - Miller(ACG).
Q: In an exhibition, Almond bought a painting for Rs. 20000. He later sold it to Olive for Rs. 23000. Olive sold it to Sarah for double the profit percentage that Almond earned. At what price should Sarah sell this painting to earn 8% profit ? 1995 05b5cc6c4e4d2b4197774dcf6
5b5cc6c4e4d2b4197774dcf6- 1Rs. 34,410false
- 2Rs. 31,184false
- 3Rs. 29,999false
- 4Rs. 32,292true
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Answer : 4. "Rs. 32,292"
Explanation :
Answer: D) Rs. 32,292 Explanation: Almond Selling price = CP(1 + P%/100) => CP = 20000, SP = 23000 => 23000 = 20000 (1 + P/100) => P% = 100(23000/20000 - 1) = 15 Then, Olive's P% = 30% SP for Olive = CP for Sarah = 23000(1 + 30/100) = 29900 Now Sarah wants to earn profit of 8% => Sp for Sarah = 29900(1 + 8/100) = Rs. 32,292.
Q: A began a business with Rs. 85000. He was joined afterwards by B with Rs. 42,500. For how much perod does B join, if the profits at the end of the year are divided in the ratio of 3:1 ? 1995 05b5cc767e4d2b4197774fe2c
5b5cc767e4d2b4197774fe2c- 18 monthstrue
- 26 monthsfalse
- 37 monthsfalse
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Answer : 1. "8 months"
Explanation :
Answer: A) 8 months Explanation: Suppose B joined for x months. Given profit is divided in the ratio 3:1. Then, 85000×1242500×x=31 --> x = 8 months.
Q: Find the compound interest on Rs. 2680 at 8% per annum for 2 years ? 1995 05b5cc6b4e4d2b4197774d4de
5b5cc6b4e4d2b4197774d4de- 1Rs. 664.21false
- 2Rs. 548.68false
- 3Rs. 445.95true
- 4Rs. 692.57false
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Answer : 3. "Rs. 445.95"
Explanation :
Answer: C) Rs. 445.95 Explanation: We know Compound Interest = C.I. = P1+r100t - 1 Here P = 2680, r = 8 and t = 2 C.I. = 26801 + 81002-1= 268027252-12= 26802725+12725-1= 2680 5225×225 = (2680 x 52 x 2)/625 = 445.95 Compound Interest = Rs. 445.95
Q: Which of the following is not a prime number? 1992 05b5cc655e4d2b4197774bd59
5b5cc655e4d2b4197774bd59- 15false
- 211false
- 321true
- 437false
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Answer : 3. "21"
Explanation :
Answer: C) 21 Explanation: A prime number is a whole number greater than 1 whose only factors are 1 and itself. Factors of 5 are 1, 5 Factors of 11 are 1, 11 Factors of 21 are 1, 3, 7, 21 Factors of 37 are 1, 37. Hence, according to the definition of a prime number, 21 is not a prime number as it has more than two factors.
Q: Poor people have it. Rich people need it. If you eat it you die. What is it? 1992 05b5cc699e4d2b4197774c69b
5b5cc699e4d2b4197774c69b- 1Moneyfalse
- 2Brainfalse
- 3Luxury itemsfalse
- 4Nothingtrue
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Answer : 4. "Nothing"
Explanation :
Answer: D) Nothing Explanation: Poor people have Nothing Rich people need Nothing If you eat Nothing you die. Hence, it is Nothing.
Q: The length of a rectangular plot is increased by 50%, to keep its area unchanged, the width of the plot should be decreased by ______? 1991 05b5cc6bce4d2b4197774d8ca
5b5cc6bce4d2b4197774d8ca- 129.87%false
- 233.33%true
- 322.22%false
- 419.5%false
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Answer : 2. "33.33%"
Explanation :
Answer: B) 33.33% Explanation: % Decrease in Width = 50150x100 = 33.33%