Quantitative Aptitude Practice Question and Answer
8Q: The length of a rectangle is 10 cm more than the breadth. Find the diagonal length of rectangle if perimeter is 44 cm ? 1081 05b5cc6cae4d2b4197774e06d
5b5cc6cae4d2b4197774e06d- 112.50 cmfalse
- 214.21 cmfalse
- 315.98 cmfalse
- 417.08 cmtrue
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Answer : 4. "17.08 cm"
Explanation :
Answer: D) 17.08 cm Explanation: Let the length of the rectangle = L cm Then the breadth of the rectangle = (L - 10) cm Perimeter of a rectangle = 2(L + B) cm => 44 = 2(L + L - 10) => 44 = 4L - 20 => 4L = 64 => L = 16 cm => B = L - 10 = 6 cm Diagonal = L2+B2 = 162+62 = 17.08 cm
Q: A, B and C started a business where their initial capital was in the ratio of 2:3:4. At the end of 6 months, A invested an amount such that his total capital became equal to C's initial capital investment. If the annual profit of B is Rs. 3000 then what is the total profit ? 1076 05b5cc6c4e4d2b4197774dcfb
5b5cc6c4e4d2b4197774dcfb- 1Rs. 8,640false
- 2Rs. 9,850false
- 3Rs. 10,000true
- 4Rs. 11,220false
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Answer : 3. "Rs. 10,000"
Explanation :
Answer: C) Rs. 10,000 Explanation: Ratio of investments of A, B & C = 2×6+4×6 : 3×12 : 4×12 = 36 : 36 : 48 = 6 : 6 : 8 But given that the annual profit of B is Rs. 3000 => 6 ratio = 3000 Then for the total annual profit of partners is 20 ratio = 3000 x 20/6 = 10,000.
Q: Two trains are running at 40 km/hr and 20 km/hr respectively in the same direction. Fast train completely passes a man sitting in the slower train in 5 seconds. What is the length of the fast train? 1075 05b5cc6bee4d2b4197774d97e
5b5cc6bee4d2b4197774d97e- 127 7/9 mtstrue
- 225 8/7 mtsfalse
- 321 1/4 mtsfalse
- 422 mtsfalse
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Answer : 1. "27 7/9 mts"
Explanation :
Answer: A) 27 7/9 mts Explanation: Relative speed = (40 - 20) km/hr = 20 x 5 m/sec = 50 m/sec. 18 9 Length of faster train = 50 x 5 m = 250 m = 27 7 m. 9 9 9
Q: Simplify 413 + 215 + 414 = ? 1073 05b5cc6afe4d2b4197774d235
5b5cc6afe4d2b4197774d235- 110 47/60true
- 211 45/73false
- 311 47/36false
- 410 35/48false
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Answer : 1. "10 47/60"
Explanation :
Answer: A) 10 47/60 Explanation: The given equation is in Mixed fraction. Now to solve this type of fractions, 413 + 215 + 414 =?? = 4 + 2 + 4 + 13 + 15 + 14 ? = 10 + 4760? = 104760
Q: One-third of the boys and one-half of the girls of a college participated in a sport. If the number of participating students is 300, out of which 100 are boys. What is the total number of students in the college ? 1071 05b5cc6c3e4d2b4197774dc8b
5b5cc6c3e4d2b4197774dc8b- 1550false
- 2575false
- 3625false
- 4700true
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Answer : 4. "700"
Explanation :
Answer: D) 700 Explanation: Let number of boys = B Number of girls = G From the given data, 1B/3 + 1G/2 = 300 But given B/3 = 100 => B = 300 G/2 = 300 - 100 G = 200 x 2 => G = 400 Therefore, total number of students in the college = B + G = 700.
Q: In a mixture, the ratio of juice and water is 4 : 3. By adding 6 litre water the ratio of juice and water will be 8 : 7. What is the amount of juice in the original mixture ? 1061 05b5cc6c9e4d2b4197774dfbb
5b5cc6c9e4d2b4197774dfbb- 138 litfalse
- 296 litfalse
- 348 littrue
- 452 litfalse
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Answer : 3. "48 lit"
Explanation :
Answer: C) 48 lit Explanation: Let the amount of juice and water in original mixture '4x' litre and '3x' litre respectively. According to given data, 4x/3x+6 =8/7 28x=24x+48 28x–24x=48 4x = 48 x = 12 Amount of juice = 4x = 4×12 = 48 litre.
Q: When a number is divided by 138 the remainder is 26. What will be the remainder if the same number is divided by 23 ? 1059 05b5cc741e4d2b4197774f9b3
5b5cc741e4d2b4197774f9b3- 14false
- 26false
- 33true
- 41false
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Answer : 3. "3"
Explanation :
Answer: C) 3 Explanation: Number = quotient x divisor + remainder;so, herenumber = 138 k + 26=> (23 x 6k) + (23+3)=> 23(6k+1)+3so, remainder is 3.
Q: A mother can do a certain job in x hours. Her daughter takes twice as long to do the job. Working together, they can do the job in 6 hours. How many hours does the mother take to do the job ? 1058 05b5cc6cfe4d2b4197774e2fe
5b5cc6cfe4d2b4197774e2fe- 13false
- 26false
- 39true
- 412false
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Answer : 3. "9"
Explanation :
Answer: C) 9 Explanation: The mother completes the job in x hours.So, the daughter will take 2x hours to complete the same job. In an hour, the mother will complete 1/x of the total job.In an hour, the daughter will complete 1/2x of the total job. So, if the mother and daughter work together, in an hour they will complete 1/x + 1/2x of the job.i.e., in an hour they will complete 3/2x of the job. The question states that they complete the entire task in 6 hours if they work together.i.e., they complete 1/6 th of the task in an hour. Equating the two information, we get 3/2x = 1/6By solving for x, we get 2x = 18 or x = 9. The mother takes 9 hours to complete the job.