GATE Practice Question and Answer
8Q: 12 as a percentage? 1487 05b5cc696e4d2b4197774c570
5b5cc696e4d2b4197774c570- 150%true
- 25%false
- 30.5%false
- 40.05%false
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Answer : 1. "50%"
Explanation :
Answer: A) 50% Explanation: 1/2 as a percentage means 1/2 = 0.5 in decimal Now, in percentage means 0.5 x 100% = 50%.
Q: An owner of a Dry fruits shop sold small packets of mixed nuts for Rs. 150 each and large packets for Rs. 250 each. One day he sold 5000 packets, for a total of Rs. 10.50 lakh. How many small packets were sold ? 1485 05b5cc6cfe4d2b4197774e308
5b5cc6cfe4d2b4197774e308- 12000true
- 23000false
- 32500false
- 43500false
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Answer : 1. "2000"
Explanation :
Answer: A) 2000 Explanation: Let 's' be the number of small packets and 'b' the number of large packets sold on that day. Therefore, s + b = 5000 ... eqn (1) Each small packet was sold for Rs.150.Therefore, 's' small packets would have fetched Rs.150s. Each large packets was sold for Rs.250.Therefore, 'b' large packets would have fetched Rs.250b. Total value of sale = 150s + 250b = Rs. 10.5 Lakhs (Given) Or 150s + 250b = 10,50,000 ... eqn (2) Multiplying equation (1) by 150, we get 150s + 150b = 7,50,000 ... eqn (3) Subtracting eqn (3) from eqn (2), we get 100b = 3,00,000Or b = 3000 We know that s + b = 5000So, s = 5000 - b = 5000 - 3000 = 2000. 2000 small packets were sold.
Q: A can do a piece of work in 15 days and B can do it in 16 days and C can do it 24 days. They started the work together and A leaves after 3 days and B leaves after 4 days from the beginning. How long will work lost ? 1485 05b5cc6dae4d2b4197774e8dc
5b5cc6dae4d2b4197774e8dc- 110 2/3 daysfalse
- 213 1/5 daystrue
- 312 2/3 daysfalse
- 411 5/7 daysfalse
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Answer : 2. "13 1/5 days"
Explanation :
Answer: B) 13 1/5 days Explanation: 3/15 + 4/16 + x/24 = 1 ⇒x=1315
Q: Is steel a compound? 1484 05b5cc62ae4d2b4197774b8b5
5b5cc62ae4d2b4197774b8b5- 1TRUEfalse
- 2FALSEtrue
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Answer : 2. "FALSE"
Explanation :
Answer: B) FALSE Explanation: Steel is not a compound or element. Steel is an alloy of iron and carbon and other elements and hence it is a mixture. Because of its high tensile strength and low cost, it is a major component used in buildings, infrastructure, tools, ships, automobiles, machines, appliances, and weapons.
Q: 25 divided by 7 1483 05b5cc64de4d2b4197774bcc6
5b5cc64de4d2b4197774bcc6- 13.571true
- 235.71false
- 30.351false
- 40.0357false
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Answer : 1. "3.571"
Explanation :
Answer: A) 3.571 Explanation: Here we have 25 divided by 7. 25 will not go directly in 7 Hence, we get the result in decimals. 25/7 = 3.571.
Q: India’s longest bridge “Dhola-Sadia Bridge” has built over which tributary of the Brahmaputra River ? 1482 05b5cc6dbe4d2b4197774e92d
5b5cc6dbe4d2b4197774e92d- 1Kameng Riverfalse
- 2Lohit Rivertrue
- 3Subansiri Riverfalse
- 4Manas Riverfalse
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Answer : 2. "Lohit River"
Explanation :
Answer: B) Lohit River Explanation: The Prime Minister Narendra Modi has inaugurated India’s longest bridge “Dhola-Sadia Bridge” in Assam on May 26, 2017. This three lane, 9.15 kilometre bridge has been built over river Lohit, a tributary of the Brahmaputra river. It links Dhola in Assam to Sadia. The bridge will reduce the distance from Rupai on NH- 37 in Assam to Meka-Roing on NH-52 in Arunachal Pradesh by 165 KM. The travel time between the two places will come down from the current six hours to just one hour, a total five hour reduction. This will result in saving of petrol and diesel worth Rs 10 Lakh per day. It will also cater to the strategic requirements of the country in the border areas of Arunachal Pradesh, besides facilitating numerous hydro power projects coming up in the state.
Q: In the following question, two equations numbered 1 and 2 are given. You have to solve both the equations and determine the relation between a and b. 1. 5a2-18a+9=0 2. 3b2+5b-2=0 1481 05b5cc6cae4d2b4197774e09f
5b5cc6cae4d2b4197774e09f- 1a >= bfalse
- 2a <= bfalse
- 3a < bfalse
- 4a > btrue
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Answer : 4. "a > b"
Explanation :
Answer: D) a > b Explanation: From solving 1 and 2 we get, 1. 5a(a-3)-3(a-3) = 0 (5a-3)(a-3) = 0 a = 3 or 3/5 2. 3b(b+2)-1(b+2) = 0 b = -2 or b = 1/3 Here when a = 3, a > b for b = -2 and b = 1/3 when a = 3/5. a > b for b = -2 and b = 1/3. Hence, it is clear that a > b.
Q: The average age of husband, wife and their child 3 years ago was 24 years and that of wife and child 5 years ago was 25 years. The present age of the husband is: 1480 05b5cc6bce4d2b4197774d8d4
5b5cc6bce4d2b4197774d8d4- 121 yrstrue
- 227 yrsfalse
- 329 yrsfalse
- 431 yrsfalse
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Answer : 1. "21 yrs"
Explanation :
Answer: A) 21 yrs Explanation: Sum of ages of husband, wife and child= (24 × 3) + 9 = 81 years Sum of ages of wife and child => 25 × 2 + 10 = 50 + 10 = 60 years Age of husband = 81 - 60 = 21 years.

