GATE Practice Question and Answer
8Q: In how many ways the letters of the word NUMERICAL can be arranged so that the consonants always occupy the even places ? 2115 05b5cc6cde4d2b4197774e1e0
5b5cc6cde4d2b4197774e1e0- 15!false
- 26!false
- 34!false
- 4Can't determinetrue
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Answer : 4. "Can't determine"
Explanation :
Answer: D) Can't determine Explanation: NUMERICAL has 9 positions in which 2, 4, 6, 8 are even positions. And it contains 5 consonents i.e, N, M, R, C & L. Hence this cannot be done as 5 letters cannot be placed in 4 positions. Therefore, Can't be determined.
Q: P, Q and R secured 45%, 50% and 60% marks respectively in Biology. M’s marks in Biology is 12.5 more than P’s marks and 4 less than R’s marks. Find out the individual marks of four students. A. For the students, total marks obtained for Biology is 311.5.B. Total of M’s and P’s marks in Biology is 147.5.C. R has obtained 84 marks. 2114 05b5cc69fe4d2b4197774c9ec
5b5cc69fe4d2b4197774c9ec- 1Only Cfalse
- 2Only A & Bfalse
- 3All are requiredfalse
- 4None of the statements is requiredtrue
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Answer : 4. "None of the statements is required"
Explanation :
Answer: D) None of the statements is required Explanation: From the given data, (60 - 45)% = 12.5 + 415% = 16.5=> 100% = ?100% = 16.5 x 100/15 = 110 Hence, P = 45% of 110 = 45x110/100 = 49.5 Q = 50% of 110 = 55R = 60% of 110 = 60 x 110/100 = 66M = 12.5 + 49.5 = 62 or 66 - 4 = 62 Hence, no statement is required to answer.
Q: Find the missing number in the given number series? 5 11 21 44 ? 175 2113 05b5cc6a2e4d2b4197774cb99
5b5cc6a2e4d2b4197774cb99- 186true
- 278false
- 394false
- 4102false
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Answer : 1. "86"
Explanation :
Answer: A) 86 Explanation: Here the given number series is 5 11 21 44 ? 175 Now the given series follows a pattern, that x2 + 1, x2 - 1, x2 + 2, x2 - 2, x2 + 3, x2 - 3,... Then the missing number is x2 - 2 = 44 x 2 - 2 = 88 - 2 = 86 Hence, the missing number in the number series is 86.
Q: The Ankle is a third-class lever. 2112 05b5cc6a6e4d2b4197774cd89
5b5cc6a6e4d2b4197774cd89- 1TRUEfalse
- 2FALSEtrue
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Answer : 2. "FALSE"
Explanation :
Answer: B) FALSE Explanation: False. The ankle is not the third-class lever in the body. Levers are typically labeled as first class, second class, or third class. All three types are found in the body, but most levers in the human body are third class. First-class levers in the human body are rare and have the axis (fulcrum) located between the weight (resistance) and the force. One example is the joint between the head and the first vertebra. In a second-class lever, the weight (resistance) is located between the axis (fulcrum) and the force. An example of a second-class lever in the human body is found in the lower leg when someone stands on tiptoes In a third-class lever, the most common in the human body, force is applied between the resistance (weight) and the axis (fulcrum). There are numerous third-class levers in the human body; one example can be illustrated in the elbow joint.
Q: Find the Missing number in the given number series? 5, 9, 15, 23, ?, 45 2111 05b5cc6a7e4d2b4197774ce1d
5b5cc6a7e4d2b4197774ce1d- 133true
- 229false
- 331false
- 435false
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Answer : 1. "33"
Explanation :
Answer: A) 33 Explanation: The given series follows a pattern that, +4, +6, +8, +10, +12... 5 5 + 4 = 9 9 + 6 = 15 15 + 8 = 23 23 + 10 = 33 33 + 12 = 45 Hence, the missing number in the series is 33.
Q: If x = √8 - √7, y = √6 - √5 and z = √10 - 3, which of the following is true ? 2107 05b5cc6dbe4d2b4197774e955
5b5cc6dbe4d2b4197774e955- 1x > y < zfalse
- 2x < y < zfalse
- 3x > y > zfalse
- 4z < x < ytrue
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Answer : 4. "z < x < y"
Explanation :
Answer: D) z < x < y Explanation: x = √8 - √7 = 1/(√8 + √7) and y = √6 - √5 = 1/(√6 + √5) and z = √10 - 3 = 1/(√10 + 3) As (√8 + √7) > (√6 + √5), (√8 - √7) < (√6 - √5) As (√10 + 3) > (√8 + √7) > (√6 + √5) z < x < y.
Q: A man walks 6 km at a speed of 112kmph, runs 8 km at a speed of 2 kmph and goes by bus another 32 km. Speed of the bus is 8 kmph. Find the average speed of the man in kmph. 2107 05b5cc764e4d2b4197774fd8a
5b5cc764e4d2b4197774fd8a- 14314false
- 24213true
- 32413false
- 43414false
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Answer : 2. "4213"
Explanation :
Answer: B) Option B Explanation: Man walked 6 km at 1.5 kmph, again he walked 8 km at speed of 2 kmph and 40 km at a speed of 8kmphtime taken indivisually: => 6/1.5 = 4 m=> 8/2 = 4 m=> 40/8 = 5 m Average speed of man= total distance/ total time=> 54/13 = 4213 kmph
Q: Selling an article at a profit of 20%, Aman gets Rs. 400 more than selling at a loss of 20%. The cost price of the article is ? 2107 05b5cc6c2e4d2b4197774dbeb
5b5cc6c2e4d2b4197774dbeb- 1Rs.1000true
- 2Rs. 1020false
- 3Rs.1210false
- 4Rs.1140false
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Answer : 1. "Rs.1000"
Explanation :
Answer: A) Rs.1000 Explanation: Cost price of the article is given by = 400x100/(20+20) = Rs.1000

