GATE Practice Question and Answer
8Q: I. a2-7a+12 = 0, II. b2-3b+2 = 0 Solve both the equations to find the values of a and b ? 2050 05b5cc6e3e4d2b4197774eced
5b5cc6e3e4d2b4197774eced- 1if a > btrue
- 2if a < bfalse
- 3if the relationship between a and b cannot be established.false
- 4if a ≤ bfalse
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Answer : 1. "if a > b"
Explanation :
Answer: A) if a > b Explanation: I. (a - 3)(a - 4) = 0 => a = 3, 4 II. (b - 2)(b - 1) = 0 => b = 1, 2 => a > b
Q: What is the equivalent compound ratio of 5:6::7:10::6:5 ? 1688 05b5cc6e3e4d2b4197774eccf
5b5cc6e3e4d2b4197774eccf- 17 : 9false
- 29 : 7false
- 37 : 4false
- 47 : 10true
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Answer : 4. "7 : 10"
Explanation :
Answer: D) 7 : 10 Explanation: Given 5:6 :: 7:10 :: 6:5 We know that compound ratio is calculated as a:b :: c:d :: e:f(axcxe):(bxdxf) => (5x7x6):(6x10x5)=> (210):(300)= 7:10
Q: L is the daughter of K's brother's wife's father-in-law's daughter. K is L's __ 2106 05b5cc6e3e4d2b4197774eca2
5b5cc6e3e4d2b4197774eca2- 1Sonfalse
- 2Auntfalse
- 3Unclefalse
- 4Can't be determinedtrue
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Answer : 4. "Can't be determined"
Explanation :
Answer: D) Can't be determined Explanation: K's brother's wife's father-in-law is K's brother's father i.e. K's father. K's father's daughter is K's Sister.L is daughter of K's sister => K is L's Uncle or Aunt.
Q: How is my father's mother's only daughter-in-law's daughter's father related to me ? 1283 05b5cc6e3e4d2b4197774ec9d
5b5cc6e3e4d2b4197774ec9d- 1Son-in-lawfalse
- 2Unclefalse
- 3Sonfalse
- 4Fathertrue
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Answer : 4. "Father"
Explanation :
Answer: D) Father Explanation: My fahter's mother's only daughter-in-law is my father's wife i.e. my mother. My mother's daughter is my sister. My sister's father is my father.
Q: In a party there are 5 couples. Out of them 5 people are chosen at random. Find the probability that there are at the least two couples ? 6618 05b5cc6e3e4d2b4197774ec98
5b5cc6e3e4d2b4197774ec98- 16/7false
- 219/21false
- 37/31false
- 45/21true
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Answer : 4. "5/21"
Explanation :
Answer: D) 5/21 Explanation: Number of ways of (selecting at least two couples among five people selected) = (⁵C₂ x ⁶C₁) As remaining person can be any one among three couples left. Required probability = (⁵C₂ x ⁶C₁)/¹⁰C₅= (10 x 6)/252 = 5/21
Q: Find the simple interest on Rs.600 for 11 months at 5 paisa per month ? 1222 05b5cc6e3e4d2b4197774ec93
5b5cc6e3e4d2b4197774ec93- 1Rs. 30false
- 2Rs. 3.30true
- 3Rs. 33false
- 4Rs. 330false
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Answer : 2. "Rs. 3.30"
Explanation :
Answer: B) Rs. 3.30 Explanation: I = (600x11x5)/100 = 330 Paise = Rs. 3.30
Q: The probability that a number selected at random from the first 100 natural numbers is a composite number is ? 1316 05b5cc6e3e4d2b4197774ec8e
5b5cc6e3e4d2b4197774ec8e- 13/2true
- 22/3false
- 31/2false
- 434/7false
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Answer : 1. "3/2"
Explanation :
Answer: A) 3/2 Explanation: The number of exhaustive events = 100 C₁ = 100. We have 25 primes from 1 to 100. Number of favourable cases are 75. Required probability = 75/50 = 3/2.
Q: If rupee two produces rupees eleven over a period of 30 years, find the rate of simple interest ? 1100 05b5cc6e2e4d2b4197774ec7f
5b5cc6e2e4d2b4197774ec7f- 117.25 %false
- 218.14 %false
- 318.33 %true
- 417.35 %false
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Answer : 3. "18.33 %"
Explanation :
Answer: C) 18.33 % Explanation: We know that I = PTR/100 11 = (2x30xR)/100 R = 18.333 %