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 ? 4285 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 ? 4249 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: Excel displays the current cell address in the 4246 05b5cc655e4d2b4197774bd44
5b5cc655e4d2b4197774bd44- 1Title Barfalse
- 2Name Boxtrue
- 3Status Barfalse
- 4Formula barfalse
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Answer : 2. "Name Box"
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 ? 4241 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: Who set up the world's first floating ATM ? 4238 05b5cc711e4d2b4197774f3f5
5b5cc711e4d2b4197774f3f5- 1Bank of Americafalse
- 2Barclays Bankfalse
- 3Axis Bankfalse
- 4State Bank of Indiatrue
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Answer : 4. "State Bank of India"
Explanation :
Answer: D) State Bank of India Explanation: India's banking behemoth -- the State Bank of India -- has set up the world's first-ever floating ATM on a boat in Kerala. The boat with the ATM on board will berth at jetties in Kerala's huge backwaters through which thousands of people travel daily.
Q: What word in the English language is always spelled incorrectly? 4229 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 ? 4227 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: 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? 4224 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