Quantitative Aptitude Practice Question and Answer
8Q: A number divided by 296 leaves the remainder 75. If the same number is divided by 37, what will be the remainder ? 2272 05b5cc77ae4d2b41977750147
5b5cc77ae4d2b41977750147- 10false
- 21true
- 311false
- 48false
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Answer : 2. "1"
Explanation :
Answer: B) 1 Explanation: Let x be the number. Given: x = 296n + 75 [where n is quotient] --> (378n) +( 372 + 1) -->37(8n + 2) + 1 Hence, when x divided by 37, 1 is the remainder.
Q: Find the number which multiplied by 15 is increased by 56 ? 2270 05b5cc6e2e4d2b4197774ec43
5b5cc6e2e4d2b4197774ec43- 16false
- 24true
- 33false
- 412false
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Answer : 2. "4"
Explanation :
Answer: B) 4 Explanation: Let the number be x. Then, 15x - x = 56 x = 4
Q: A man rows his boat 60 km downstream and 30 km upstream taking 3 hrs each time. Find the speed of the stream ? 2261 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: If 6 years are subtracted from the present age of Arun and the remainder is divided by 18, then the present age of his grandson Gokul is obtained. If Gokul is 2 years younger to Madan whose age is 5 years, then what is the age of Arun ? 2260 05b5cc71be4d2b4197774f53a
5b5cc71be4d2b4197774f53a- 172 yearsfalse
- 254 yearsfalse
- 360 yearstrue
- 447 yearsfalse
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Answer : 3. "60 years"
Explanation :
Answer: C) 60 years Explanation: Let the Present age of arun is xGokul's age = 5-2 = 3x-6/18 = 3x-6 = 54x = 60Arun's present age = 60 years
Q: A fair six-sided die is rolled twice. What is the probability of getting 4 on the first roll and not getting 6 on the second roll ? 2260 05b5cc6d7e4d2b4197774e6c1
5b5cc6d7e4d2b4197774e6c1- 11/36false
- 25/36true
- 31/12false
- 41/9false
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Answer : 2. "5/36"
Explanation :
Answer: B) 5/36 Explanation: The two events mentioned are independent. The first roll of the die is independent of the second roll. Therefore the probabilities can be directly multiplied. P(getting first 4) = 1/6 P(no second 6) = 5/6 Therefore P(getting first 4 and no second 6) = 1/6 x 5/6 = 5/36
Q: Adam and Smith are working on a project. Adam takes 6 hrs to type 36 pages on a computer, while Smith takes 5 hrs to type 40 pages. How much time will they take, working together on two different computers to type a project of 120 pages? 2258 05b5cc76fe4d2b4197774ff58
5b5cc76fe4d2b4197774ff58- 18 hrs 45 minfalse
- 28 hrs 42 minfalse
- 38 hrsfalse
- 48 hrs 34 mintrue
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Answer : 4. "8 hrs 34 min"
Explanation :
Answer: D) 8 hrs 34 min Explanation: Number of pages typed by Adam in 1 hour = 36/6 = 6 Number of pages typed by Smith in 1 hour = 40/5 = 8Number of pages typed by both in 1 hour = (6 + 8) = 14Time taken by both to type 110 pages = (120 * 1/14) = 847 = 8 hrs 34 min.
Q: If a+b=5 and 3a+2b=20,then (3a+b)will be : 2258 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: If sum of upstream and downstream speed of a boat is 82 kmph, and the boat travels 105 km. upstream in 3 hr, Find the time taken by boat to cover 126 km downstream. 2257 05b5cc6afe4d2b4197774d278
5b5cc6afe4d2b4197774d278- 12.8 hrsfalse
- 22.7 hrstrue
- 32.6 hrsfalse
- 42.5 hrsfalse
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Answer : 2. "2.7 hrs"
Explanation :
Answer: B) 2.7 hrs Explanation: Let Speed of boat in still water = b Let Speed of still water = w Then we know that, Speed of Upstream = U = boat - water Speed of Downstream = D = boat + water Given, U + D = 82 b - w + b + w = 82 2b = 82 => b = 41 kmph From the given data, 41 - w = 105/3 = 35 w = 6 kmph Now, b + w = 126/t => 41 + 6 = 126/t => t = 126/47 = 2.68 hrs.