GATE Practice Question and Answer
8Q: The ratio of the angles of a triangle is 3 : 4 : 5. The three angles of a quadrilateral is equal to three angles of this triangle. What is the sum of the largest angle and second smallest angle of the quadrilateral ? 1529 05b5cc6cae4d2b4197774dfd9
5b5cc6cae4d2b4197774dfd9- 1225 degtrue
- 2210 degfalse
- 3205 degfalse
- 4245 degfalse
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Answer : 1. "225 deg"
Explanation :
Answer: A) 225 deg Explanation: Angle of triangle = 180 × 3/12 = 45 deg Other angles of the triangle are = 60 deg, 75 deg Angle of quadrilateral = 360 - (45 + 60 + 75) = 180 deg Therefore, the four angles of the quadrilateral are 45, 60, 75 & 180 degrees. Hence, the sum of largest and smallest angle of the quadrilateral are 180 + 45 = 225 deg.
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Answer :
Explanation :
SHORT is the required five letter word, which becomes SHORTER when two letters 'ER' are added to it.
Q: Avinash gave a sum of 5400 at the simple rate of interest of 8% to Rajeev for 4 years and Rajeev gave this amount to Chanukya at the rate of 6% for 4 years. Find how much extra amount has to be paid by Rajeev to Avinash after 4 years? 1528 05b5cc698e4d2b4197774c618
5b5cc698e4d2b4197774c618- 1Rs. 364false
- 2Rs. 432true
- 3Rs. 498false
- 4Rs. 554false
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Answer : 2. "Rs. 432"
Explanation :
Answer: B) Rs. 432 Explanation: Here Avinash gave to Rajeev and Rajeev gave the same to Chanukya Principal amount and Time is same but the only difference is Rate of interest. Rajeev took @ 8% and gave it to Chanukya @ 6% Here the difference in interest rate = 2% 2% of 5400 should be the extra amount paid by Rajeev to Avinash Required amount = 2 x 5400 x 4100 = 432 Hence, Rs. 432 is the extra amount has to be paid by Rajeev to Avinash after 4 years.
Q: What is the value of 28 tens? 1527 05b5cc62ce4d2b4197774b90d
5b5cc62ce4d2b4197774b90d- 128false
- 22false
- 32800false
- 4280true
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Answer : 4. "280"
Explanation :
Answer: D) 280 Explanation: Here asked for the value of 28 tens => 28 x 10 = 280.
Q: 'Brothers and sisters, I have none. But that man's father is my father's son'.How I and that man are related respectively? 1526 05b5cc6a3e4d2b4197774cc10
5b5cc6a3e4d2b4197774cc10- 1Father & Sontrue
- 2Brothersfalse
- 3Son & Fatherfalse
- 4Nephewsfalse
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Answer : 1. "Father & Son"
Explanation :
Answer: A) Father & Son Explanation: Given that man's father is my father's son => Me because i have no brothers => Mans father is me. Hence, that man is my Son.
Q: A motorboat running upstream takes 8 hours 48 minutes to cover a certain distance, while it takes 4 hours to cover the same distance running downstream. What is the ratio between the speed of the motorboat and speed of the water current respectively? 1525 05b5cc6bde4d2b4197774d91a
5b5cc6bde4d2b4197774d91a- 13:7false
- 27:9false
- 35:4false
- 48:3true
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Answer : 4. "8:3"
Explanation :
Answer: D) 8:3 Explanation: Let the man's rate upstream be x kmph and that downstream be y kmph. Then, distance covered upstream in 8 hrs 48 min = Distance covered downstream in 4 hrs. x x 8 4 = (y x 4) 5 44 x =4y 5 y = 11 x. 5 Required ratio = y + x : y - x 2 2 = 16x x 1 : 6x x 1 5 2 5 2 = 8 : 3 5 5 = 8 : 3.
Q: On dividing a number by 96, we get 271 as quotient and 0 as remainder. On dividing the same number by 95, what will be the remainder ? 1524 05b5cc6dde4d2b4197774e9ce
5b5cc6dde4d2b4197774e9ce- 187false
- 259false
- 392false
- 481true
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Answer : 4. "81"
Explanation :
Answer: D) 81 Explanation: Number = 271 x 96 + 0 = 26016 => 95) 26016 (273 25935 -------- 81 Required number = 81.
Q: Which of the following is the largest unit of information? 1523 05b5cc67ee4d2b4197774c22a
5b5cc67ee4d2b4197774c22a- 11 TBtrue
- 21 GBfalse
- 31 MBfalse
- 41 KBfalse
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Answer : 1. "1 TB"
Explanation :
Answer: A) 1 TB Explanation: 1 TB > 1 GB > 1 MB > 1 KB 1 Tb (Tera Byte) = 1024 GB 1 GB (Giga Byte) = 1024 MB 1 MB (Mega Byte) = 1024 KB 1 KB (Kilo Byte) = 1024 Bytes 1 Byte = 8 Bit Hence, largest unit of information is TB (Tera Byte) and smallest unit of information is Bit.

