Quantitative Aptitude Practice Question and Answer
8Q: If the given two numbers are respectively 7% and 28% of a third number, then what percentage is the first of the second ? 1816 05b5cc75ce4d2b4197774fc48
5b5cc75ce4d2b4197774fc48- 124%false
- 229%false
- 334%false
- 425%true
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Answer : 4. "25%"
Explanation :
Answer: D) 25% Explanation: Here, k = 7 and l = 28Therefore, first number = klx100 % of second number = 7/28 x 100% of second number = 25% of second number.
Q: If a+b=5 and 3a+2b=20,then (3a+b)will be : 1816 05b5cc783e4d2b419777501fb
5b5cc783e4d2b419777501fb- 120false
- 215false
- 325true
- 430false
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Answer : 3. "25"
Explanation :
Answer: C) 25 Explanation: a+b=5 ...(1) and 3a+2b=20 ...(2) Multiplying (1) by 2 and subtracting from (2), we get : a=10. Putting a=10 in (1), we get : b=-5 Therefore, (3a+b) = 3 x 10+(-5)=30-5=25.
Q: A man rows his boat 60 km downstream and 30 km upstream taking 3 hrs each time. Find the speed of the stream ? 1813 05b5cc777e4d2b41977750098
5b5cc777e4d2b41977750098- 15 kmphtrue
- 210 kmphfalse
- 315 kmphfalse
- 445 kmphfalse
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Answer : 1. "5 kmph"
Explanation :
Answer: A) 5 kmph Explanation: Speed of the boat downstream s=a/t= 60/3 = 20 kmph Speed of the boat upstream s= d/t = 30/3= 10 kmph Therefore, The speed of the stream = speed of downstream - speed of upstream2=5 kmph
Q: Express 6.72 % in ratio ? 1811 05b5cc6d9e4d2b4197774e839
5b5cc6d9e4d2b4197774e839- 165 : 124false
- 242 : 625true
- 321 : 125false
- 437 : 442false
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Answer : 2. "42 : 625"
Explanation :
Answer: B) 42 : 625 Explanation: 6.72/100 = 672/10000 = 42/625
Q: If x is a whole number, then x²(x² - 1) is always divisible by ? 1809 05b5cc761e4d2b4197774fd58
5b5cc761e4d2b4197774fd58- 14false
- 28false
- 312true
- 4Nonefalse
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Answer : 3. "12"
Explanation :
Answer: C) 12 Explanation: we can do this by trial and error method. Putting x = 2,we get 2²(2² - 1) = 12.checking with other integers, the above equation always gives a value which is a multiple of 12,So, x²(x² - 1) is always divisible by 12.
Q: Two bus tickets from city K to L and three tickets from city K to M cost Rs. 77, but three tickets from city K to L and two tickets from city K to M cost Rs. 73. What are the fares for cities L and M from K ? 1809 05b5cc720e4d2b4197774f5e0
5b5cc720e4d2b4197774f5e0- 1Rs. 13 and Rs. 17true
- 2Rs. 17 and Rs. 19false
- 3Rs. 23 and Rs. 17false
- 4Rs. 13 and Rs. 19false
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Answer : 1. "Rs. 13 and Rs. 17"
Explanation :
Answer: A) Rs. 13 and Rs. 17 Explanation: If fares for cities L and M from K are x and y respectively, then 2x + 3y = 77 or 6x + 9y = 231...(1)3x + 2y = 73 or 6x + 4y = 146...(2) subtracting 2 from 1, we get 5y = 85 y = Rs. 17 => x = Rs. 13
Q: What is the equivalent compound ratio of 5:6::7:10::6:5 ? 1804 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: If price of rice increased by 25%, so that a man is can able to purchase 5 kg less rice in Rs. 500. Find the original price of rice per kg ? 1801 05b5cc6c3e4d2b4197774dc31
5b5cc6c3e4d2b4197774dc31- 1Rs. 20true
- 2Rs. 24false
- 3Rs. 26false
- 4Rs. 29false
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Answer : 1. "Rs. 20"
Explanation :
Answer: A) Rs. 20 Explanation: Let the original price of rice be Rs. x Let rice a man can buy for Rs. 500 at rs. x/kg be = R kgs From given data, for Rs. 500 x ---- R kgs (x + 25x/100) ---- (R - 5) kgs => Rx = (R - 5)(x + 25x/100) => Rx = (R - 5)(125x/100) => 100Rx = 125Rx - 625x => R = 25 So at rate of Rs. x/kg, man get 25 kgs for Rs. 500 => x = 500/25 = Rs. 20