GATE Practice Question and Answer
8Q: If the numerator of a fraction is increased by 150% and the denominator of the fraction is increased by 350%, the resultant fraction is 25/51. What is the original fraction ? 2235 05b5cc73ae4d2b4197774f8a1
5b5cc73ae4d2b4197774f8a1- 131/25false
- 215/17true
- 314/25false
- 411/16false
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Answer : 2. "15/17"
Explanation :
Answer: B) 15/17 Explanation: The original fraction is 2551 × 350+100150+100 = 15/17.
Q: A circular piece of thin wire is converted into a rhombus of side 11 cm. Find the diameter of the circular piece? 2233 05b5cc6bbe4d2b4197774d85d
5b5cc6bbe4d2b4197774d85d- 128 cmfalse
- 23.5 cmfalse
- 37 cmfalse
- 414 cmtrue
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Answer : 4. "14 cm"
Explanation :
Answer: D) 14 cm Explanation: Circular piece is 4 x 11 = 44 cm long, Then Circumference of circle is given by, 44 = pi x D, where D is the diameter D = 44 / pi Take pi = 22 / 7, then D = 44 / (22/7) = (44 x 7) / 22 D = 14 cm.
Q: A motorboat can go 10 miles downstream on a river in 20 min. It takes 30 min for this boat to go back at the same 10 miles. Find the speed of the current ? 2230 05b5cc6bfe4d2b4197774da29
5b5cc6bfe4d2b4197774da29- 18 m/hfalse
- 25 m/htrue
- 37 m/hfalse
- 46 m/hfalse
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Answer : 2. "5 m/h"
Explanation :
Answer: B) 5 m/h Explanation: As the distance travelled is constant, the time taken is inversely proportional to speed. Let 'u' be the speed of the current and 'v' be the speed of the boat. Speed of the boat downstream = v + u & upstream = v - u => v+u/v-u = 30/20 => v/u = 5 => v = 5u => v + u = 6u = 10/20/60 miles/hr => 6u = 30 m/h => u = 5 m/h
Q: In agroup of six women, there are four dancers, four vocal musicians, one actress and three violinists. Girija and Vanaja are among the violinists while Jalaja and Shailaja do not know how to ply on the violin. Shailaja and Tanuja are among the dancers. Jalaja, Vanaja, Shailaja and Tanuja are all vocal musicians and two of them are also violinists. If Pooja is an actress, who among the following is both a dancer and a violinist ? 2229 05b5cc758e4d2b4197774fbfe
5b5cc758e4d2b4197774fbfe- 1Shailajafalse
- 2Vanajafalse
- 3Girijafalse
- 4Tanujatrue
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Answer : 4. "Tanuja"
Explanation :
Answer: D) Tanuja Explanation: The four vocal musicians and one actress in the group are given. Two dancers are Shailaja and Tanuja. Two violinists are Girija and Vanaja. Since Jalaja and Shailaja cannot be violinists, so remaining two violinists are Tanuja and Pooja. Clearly, Tanuja is both a violinist and a dancer.
Q: What comes next in this sequence 196, 169, 144, 121, 100, 81, ? 2228 05b5cc6ade4d2b4197774d13e
5b5cc6ade4d2b4197774d13e- 177false
- 274false
- 367false
- 464true
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Answer : 4. "64"
Explanation :
Answer: D) 64 Explanation: The given number series follows a pattern that 196, 169, 144, 121, 100, 81, ? -27 -25 -23 -21 -19 -17 => 81 - 17 = 64 Therefore, the series is 196, 169, 144, 121, 100, 81, 64.
Q: A man can row 6 kmph in still water. When the river is running at 1.2 kmph, it takes him 1 hour to row to a place and back. What is the total distance traveled by the man ? 2224 05b5cc6d7e4d2b4197774e728
5b5cc6d7e4d2b4197774e728- 14.58 kmsfalse
- 26.35 kmsfalse
- 35.76 kmstrue
- 45.24 kmsfalse
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Answer : 3. "5.76 kms"
Explanation :
Answer: C) 5.76 kms Explanation: Speed in still water = 6 kmph Stream speed = 1.2 kmph Down stream = 7.2 kmph Up Stream = 4.8 kmph x/7.2 + x/4.8 = 1 x = 2.88 Total Distance = 2.88 x 2 = 5.76 kms
Q: Find the next number in the following number series? 11, 13, 30, 96, ? 2223 05b5cc688e4d2b4197774c318
5b5cc688e4d2b4197774c318- 1264false
- 2392true
- 3412false
- 4459false
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Answer : 2. "392"
Explanation :
Answer: B) 392 Explanation: The given number series 11, 13, 30, 96, ? follows a pattern that, 11 11 x 1 + 2 = 13 13 x 2 + 4 = 30 30 x 3 + 6 = 96 96 x 4 + 8 = 392 Hence, the next number in the given series is 392.
Q: Which solution is most concentrated? 2219 05b5cc615e4d2b4197774b6ce
5b5cc615e4d2b4197774b6ce- 16 g of solute in 10 ml of solutionfalse
- 220.5 g of solute in 50 ml of solutionfalse
- 330 g of solute in 120 ml of solutionfalse
- 42.6 g of solute in 2 ml of solutiontrue
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Answer : 4. "2.6 g of solute in 2 ml of solution"
Explanation :
Answer: D) 2.6 g of solute in 2 ml of solution Explanation: A concentrated solution will contain the most solute molecules per solvent molecules. Here in the given options, 1) 6/10 = 0.6 2) 20.5/50 = 0.41 3) 30/120 = 0.25 4) 2.6/2 = 1.3 Hence, option D) is most concentrated.