GATE Practice Question and Answer
8Q: A train travels 325 km in 3.5 hours and 470 km in 4 hours. Find the average speed of train ? 1635 05b5cc764e4d2b4197774fd99
5b5cc764e4d2b4197774fd99- 1107 kmphfalse
- 2106 kmphtrue
- 372 kmphfalse
- 476 kmphfalse
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Answer : 2. "106 kmph"
Explanation :
Answer: B) 106 kmph Explanation: As we know that Speed = Distance / Timefor average speed = Total Distance / Total Time TakenThus, Total Distance = 325 + 470 = 795 kmThus, Total Speed = 7.5 hrsAverage Speed = 795/7.5 => 106 kmph.
Q: When all the students in a school are made to stand in rows of 54, 30 such rows are formed. If the students are made to stand in rows of 45, how many such rows will be formed ? 1635 05b5cc736e4d2b4197774f88d
5b5cc736e4d2b4197774f88d- 122false
- 236true
- 332false
- 426false
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Answer : 2. "36"
Explanation :
Answer: B) 36 Explanation: Total number of students = 54 x 30When arranged in rows of 45, number of rows formed are, 54x3045 = 36.
Q: 3 x 3 + 3 - 3 + 3 = ? 1633 05b5cc65ee4d2b4197774be59
5b5cc65ee4d2b4197774be59- 19false
- 212true
- 3-3false
- 43false
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Answer : 2. "12"
Explanation :
Answer: B) 12 Explanation: Using BODMAS law, 3 x 3 + 3 - 3 + 3 = 3 x 3 = 12 = 12 + 3 - 3 + 3 = 9 + 3 = 12 Hence, 3 x 3 + 3 - 3 + 3 = 12.
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? 1633 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: The breadth of a rectangular field is 75% of its length. If perimeter of the field is 1050 m, what will be th area of field ? 1633 05b5cc6c8e4d2b4197774df0a
5b5cc6c8e4d2b4197774df0a- 165700 sq.mfalse
- 254500 sq.mfalse
- 378700 sq.mfalse
- 467500 sq.mtrue
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Answer : 4. "67500 sq.m"
Explanation :
Answer: D) 67500 sq.m Explanation: Let the length be 'l' and breadth be 'b'. b = l × 3/4__________(a) 2(l+b) = 1050 l+b = 525___________(b) From equations (a) and (b), l = 300m, b = 225 m Area = l × b = 300 × 225 = 67500 sq.m.
Q: Simple interest on a certain sum at 7% per annum for 4 years is Rs. 2415. What will be the compound interest on the same principal at 4% per annum in two years? 1633 05b5cc6a7e4d2b4197774ce22
5b5cc6a7e4d2b4197774ce22- 1Rs. 704true
- 2Rs. 854false
- 3Rs. 893false
- 4Rs. 914false
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Answer : 1. "Rs. 704"
Explanation :
Answer: A) Rs. 704 Explanation: We know that, S.I. = PTR100⇒ P = S.I x 100T x RAnd also,C.I = P1 + R100n- 1 From given data, P = Rs. 8625 Now, C.I = 86251+41002-1= 862526252-1= 8625676625-1= 8625 x 51625C.I = Rs. 703.80
Q: There are two numbers such that the sum of twice the first number and thrice the second number is 100 and sum of thrice the first number and twice the second number is 120. Which is the larger number ? 1633 05b5cc736e4d2b4197774f892
5b5cc736e4d2b4197774f892- 132true
- 224false
- 326false
- 438false
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Answer : 1. "32"
Explanation :
Answer: A) 32 Explanation: Let the first number be K and second number be LThen, 2K + 3L = 100.....(1)3K + 2L = 120.......(2)solving (1)&(2), we getK = 32 and L = 12 Hence the largest number is 32.
Q: Which formula represents a nonpolar molecule? 1632 05b5cc67be4d2b4197774c216
5b5cc67be4d2b4197774c216- 1H2Ofalse
- 2CF4true
- 3HClfalse
- 4H2Sfalse
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Answer : 2. "CF4"
Explanation :
Answer: B) CF4 Explanation: You have to consider three things. 1. First, are the bonds polar? Look at differences in electronegativity and if it is >0.5, bonds are polar. 2. Second, does the molecule have unshared electron pairs? If so, they generally lead to a polar molecule. 3. Third, is the molecule symmetric? If so, then although the bonds may be polar, the symmetry cancels out the individual bond polarity and the molecule is non polar. CF4 follows all the rules above and has a symmetric distribution of charge, making it nonpolar. The others all have asymmetric charge distributions. Hence, CF4 represents a Non-polar molecule.