Quantitative Aptitude Practice Question and Answer
8Q: For x∈N, x>1, and p=logxx+1, q=logx+1x+2 then which one of the following is correct? 7202 25b5cc7d0e4d2b419777511ff
5b5cc7d0e4d2b419777511ff- 1p < qfalse
- 2p = qfalse
- 3p > qtrue
- 4can't be determinedfalse
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Answer : 3. "p > q"
Explanation :
Answer: C) p > q Explanation: kl>k+1l+1 for (k,l) > 0 and k > l Let k = x+1 and l = x Therefore, x+1x>(x+1)+1(x)+1 (x + 1) > x Therefore, log(x+1)log(x)>log(x+2)log(x+1) ⇒logxx+1 >logx+1x+2
Q: 45% of 750 - 25% of 480 = ? 7189 05b5cc6dde4d2b4197774e9d8
5b5cc6dde4d2b4197774e9d8- 1337.50false
- 2217.50true
- 3376.21false
- 4120false
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Answer : 2. "217.50"
Explanation :
Answer: B) 217.50 Explanation: Given expression = (45 x 750/100) - (25 x 480/100) = (337.50 - 120) = 217.50
Q: Which two months in a year have the same calendar? 7162 05b5cc694e4d2b4197774c498
5b5cc694e4d2b4197774c498- 1October, Decemberfalse
- 2April, Novemberfalse
- 3June, Octoberfalse
- 4April, Julytrue
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Answer : 4. "April, July"
Explanation :
Answer: D) April, July Explanation: If the period between the two months is divisible by 7, then that two months will have the same calender . Now,(a). October + November = 31 + 30 = 61 (not divisible by 7) (b). Apr. + May + June + July + Aug. + Sep. + Oct. = 30 + 31 + 30 + 31 + 31 +30 + 31 = 213 (not divisible by 7) (c). June + July + Aug. + Sep. = 30 + 31 + 31 + 30 = 122 (not divisible by 7) (d). Apr. + May + June = 30 + 31 + 30 = 91 (divisible by 7) Hence, April and July months will have the same calendar.
Q: A cistern has a leak which would empty the cistern in 20 minutes. A tap is turned on which admits 4 liters a minute into the cistern, and it is emptied in 24 minutes. How many liters does the cistern hold ? 7152 05b5cc6ebe4d2b4197774eeb4
5b5cc6ebe4d2b4197774eeb4- 1360 litfalse
- 2480 littrue
- 3320 litfalse
- 4420 litfalse
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Answer : 2. "480 lit"
Explanation :
Answer: B) 480 lit Explanation: 1/k - 1/20 = -1/24 k = 120 120 x 4 = 480 Therefore, the capacity of the cistern is 480 liters.
Q: 30% of first number is 75% of the second number. What is the respective ratio of the first number to the second number? 7096 15d1b04cd8a754124194a751a
5d1b04cd8a754124194a751a- 15:2true
- 25:3false
- 325:14false
- 415:16false
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Answer : 1. "5:2"
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 ? 7036 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 missing number? 15, 30, ? , 40, 8, 48 7035 05b5cc6afe4d2b4197774d264
5b5cc6afe4d2b4197774d264- 121false
- 28false
- 319false
- 410true
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Answer : 4. "10"
Explanation :
Answer: D) 10 Explanation: Given nuber series is 15, 30, ? , 40, 8, 48 Here the number series follows a pattern that 15 15 x 2 = 30 30 ÷ 3 = 10 10 x 4 = 40 40 ÷ 5 = 8 8 x 6 = 48 Hence, the missing number in the series is 10.
Q: The second day of a month is Sunday, What will be the last day of the next month which has 31 days ? 7007 05b5cc6dee4d2b4197774ea94
5b5cc6dee4d2b4197774ea94- 1Fridayfalse
- 2Saturdayfalse
- 3Sundayfalse
- 4Can't be determinedtrue
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Answer : 4. "Can't be determined"
Explanation :
Answer: D) Can't be determined Explanation: We cannot find out the answer because the number of days of the current month is not given.