GATE Practice Question and Answer
8Q: Two boys are playing on a ground. Both the boys are less than 10 years old. Age of the younger boy is equal to the cube root of the product of the age of the two boys. If we place the digit representing the age of the younger boy to the left of the digit representing the age of the elder boy, we get the age of the father of the younger boy. Similarly, we place the digit representing the age of the elder boy to the left of the digit representing the age of the younger boy and divide the figure by 2, we get the age of the mother of the younger boy. The mother of the younger boy is younger than his father by 3 years. Then, what are the ages of elder and younger boys ? 4209 05b5cc73ae4d2b4197774f8ce
5b5cc73ae4d2b4197774f8ce- 1E = 15 & Y = 3false
- 2E = 14 & Y = 12false
- 3E = 40 & Y = 22false
- 4E = 4 & Y = 2true
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Answer : 4. "E = 4 & Y = 2"
Explanation :
Answer: D) E = 4 & Y = 2 Explanation: Let the the age of the elder boy = E Let the the age of the younger boy = Y Given that Y = cube root of EY => Y3 = EY => E = Y2 .....(1)By the condition of number replacement the age of the father is YE The Mother's age = EY/2 But she is 3 years less than father => EY/2 + 3 = YE2YE = EY + 6 ......(2) Then now from the given options we can identify which satisfies the all the conditions. Here Y =2 and E = 4 satisfies all the conditions.
Q: An exhibition was conducted for 4 weeks. The number of tickets sold in 2nd workweek was increased by 20% and increased by 16% in the 3rd workweek but decreased by 20% in the 4th workweek. Find the number of tickets sold in the beginning, if 1392 tickets were sold in the last week ? 4188 05b5cc74fe4d2b4197774faea
5b5cc74fe4d2b4197774faea- 11124false
- 21420false
- 31345false
- 41250true
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Answer : 4. "1250"
Explanation :
Answer: D) 1250 Explanation: Let initially 'X' ticket has been sold.So now in 2nd week 20% increases, so=> X x 120/100In 3rd week 16% increases, so=> X x (120/100) x (116/100)In 4th week 20% decrease, so=> X x (120/100) x (116/100) x (80/100) = 1392X = 1250.
Q: Directions: Seven different boxes A, B, C, D, E, F and G of different colours viz., Orange, Pink, Purple, Yellow, Blue, Red and Green are arranged one above the other. The box at the bottom of arrangement is numbered 1, the above box is numbered 2 and so on. B is immediately above E. More than two boxes are above the Orange box. The Yellow box is immediately below A. Only one box is between the Orange box and F. G is immediately above the Red box. Only one box is between B and the Pink box. Only two boxes are between the Pink and the Green box. Only two boxes are between the Yellow box and the Orange box. The Purple box is neither at the top nor at the bottom of the arrangement.B is above Pink box. C is immediately above F. Neither C nor G is a Yellow box. G is not a Orange box. Question: Which combination represents the position of C and its colour? 4186 05b5cc76de4d2b4197774feb3
5b5cc76de4d2b4197774feb3- 16-Greenfalse
- 26-Redfalse
- 35-Purplefalse
- 47-Bluetrue
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Answer : 4. "7-Blue"
Explanation :
Answer: D) 7-Blue Explanation: From the given information the arrangement can be done as follows: Position Box Colour 7 C Blue 6 F Green 5 B Purple 4 E Orange 3 G Pink 2 A Red 1 D Yellow
Q: एक्सेल वर्तमान सेल पता प्रदर्शित करता है 4161 05b5cc655e4d2b4197774bd44
5b5cc655e4d2b4197774bd44- 1टाइटल बारfalse
- 2नेम बॉक्सtrue
- 3स्टेटस बारfalse
- 4फार्मूला बारfalse
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Answer : 2. "नेम बॉक्स"
Explanation :
Answer: B) Name Box Explanation:
Q: In a certain encryption pattern, HARD is coded as 1357 and SOFT is coded as 2468, What will 21448 stand for ? 4152 05b5cc745e4d2b4197774fa3b
5b5cc745e4d2b4197774fa3b- 1SHAFTfalse
- 2SHOOTtrue
- 3RAFTSfalse
- 4ROOTSfalse
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Answer : 2. "SHOOT"
Explanation :
Answer: B) SHOOT Explanation: AS HARD is coded as "1357" and SOFT is coded as "2468"So H is coded as 1, A as 3, R as 5, D as 7and S as 2, O as 4, F as 6, T as 8 Now in 21448, go number by number2 is the code for S1 is the code for H4 is the code for Oand 8 is the code for T hence, 21448 will stand for SHOOT
Q: What word in the English language is always spelled incorrectly? 4143 05b5cc698e4d2b4197774c631
5b5cc698e4d2b4197774c631- 1Schezwanfalse
- 2Yorkerfalse
- 3Incorrectlytrue
- 4Psycologicallyfalse
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Answer : 3. "Incorrectly"
Explanation :
Answer: C) Incorrectly Explanation: INCORRECTLY is the only English word which is always spelled incorrectly.
Q: In an election only two candidates contested. A candidate secured 70% of the valid votes and won by a majority of 172 votes. Find the total number of valid votes ? 4141 05b5cc6e2e4d2b4197774ec34
5b5cc6e2e4d2b4197774ec34- 1446false
- 2415false
- 3404false
- 4430true
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Answer : 4. "430"
Explanation :
Answer: D) 430 Explanation: Let the total number of valid votes be 'V'. 70% of V = 70/100 x V = 7V/10 Number of votes secured by the other candidate = V - 7V/100 = 3V/10 Given, 7V/10 - 3V/10 = 172 => 4V/10 = 172 => 4V = 1720 => V = 430.
Q: If a soldier fires 7 shots from a gun in 12 minutes then find the total number of shots fired by the man in 3/2 hrs. 4139 05b5cc6b4e4d2b4197774d49b
5b5cc6b4e4d2b4197774d49b- 145false
- 244false
- 346true
- 447false
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Answer : 3. "46"
Explanation :
Answer: C) 46 Explanation: Here given soldier shots 7 shots in 12 min => 1 shot doen't take any time in 12 min => Only 6 shots take 12 min 12 min ------ 6 shots 90 min ------ ? shots => 90 x (6/12) = 45 Therefore, total shots fired in 90 minutes = 45 + 1 = 46 shots.