Quantitative Aptitude Practice Question and Answer
8Q: A take twice as much time as B or thrice as much time to finish a piece of work. Working together, they can finish the work in 2 days. B can do the work alone in ? 1936 05b5cc6dbe4d2b4197774e927
5b5cc6dbe4d2b4197774e927- 18 hrsfalse
- 212 hrsfalse
- 36 hrstrue
- 44 hrsfalse
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Answer : 3. "6 hrs"
Explanation :
Answer: C) 6 hrs Explanation: Suppose A, B and C take x, x/2 and x/3 respectively to finish the work. Then, (1/x + 2/x + 3/x) = 1/2 => 6/x = 1/2 => x = 12 So, B takes 6 hours to finish the work.
Q: 5 sin(x)+ 12 cos(x) + r is always greater than or equal to zero. What is the smallest value satisfied by 'r' ? 1936 05b5cc77fe4d2b419777501bf
5b5cc77fe4d2b419777501bf- 1-13false
- 211false
- 313true
- 4-11false
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Answer : 3. "13"
Explanation :
Answer: C) 13 Explanation: Given, 5sinx + 12cosx ≥ -r ⇒13513sin x + 1213cos x ≥ -rcosx) ≥ -r 513= cosA => sinA =1213 => 13(sinx cosA + sinA cosx) ≥ -r => 13(sin(x + A)) ≥ -r we know that , -1 ≤ sin (angle) ≤ 1 => 13sin (x + A) ≥ -13 ⇒rmin =13
Q: In how many different ways can the letters of the word 'ABYSMAL' be arranged ? 1936 05b5cc6c9e4d2b4197774df88
5b5cc6c9e4d2b4197774df88- 15040false
- 23650false
- 34150false
- 42520true
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Answer : 4. "2520"
Explanation :
Answer: D) 2520 Explanation: Total number of letters in the word ABYSMAL are 7 Number of ways these 7 letters can be arranged are 7! ways But the letter is repeated and this can be arranged in 2! ways Total number of ways arranging ABYSMAL = 7!/2! = 5040/2 = 2520 ways.
Q: The length of a class room floor exceeds its breadth by 25 m. The area of the floor remains unchanged when the length is decreased by 10 m but the breadth is increased by 8 m. The area of the floor is 1935 05b5cc6b6e4d2b4197774d577
5b5cc6b6e4d2b4197774d577- 15100 sq.mtrue
- 24870 sq.mfalse
- 34987 sq.mfalse
- 44442 sq.mfalse
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Answer : 1. "5100 sq.m"
Explanation :
Answer: A) 5100 sq.m Explanation: Let the breadth of floor be 'b' m. Then, length of the floor is 'l = (b + 25)' Area of the rectangular floor = l x b = (b + 25) × b According to the question, (b + 15) (b + 8) = (b + 25) × b b2 + 8b + 15b + 120 = b2 + 25b 2b = 120 b = 60 m. l = b + 25 = 60 + 25 = 85 m. Area of the floor = 85 × 60 = 5100 sq.m.
Q: 4 45 of 259.99 = ? % of 1247.9 1934 05b5cc662e4d2b4197774bea1
5b5cc662e4d2b4197774bea1- 196false
- 2100true
- 378false
- 488false
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Answer : 2. "100"
Explanation :
Answer: B) 100 Explanation: Given 4 45 of 259.99 = ? % of 1247.9 24/5 x 260 = ? x 1248/100 ? = 1248 x 100/1248 ? = 100.
Q: A shopkeeper who deals in books sold a book at 16% loss. Had she charged an additional Rs.60 while selling it , her profit would have been 14%. Find the cost price, in rupees, of the book ? 1931 05b5cc723e4d2b4197774f677
5b5cc723e4d2b4197774f677- 1Rs. 185false
- 2Rs. 154false
- 3Rs. 200true
- 4Rs. 177false
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Answer : 3. "Rs. 200"
Explanation :
Answer: C) Rs. 200 Explanation: Let the C.P be 'x'Then, the selling price S.P = x - 16x/100= 84x/100 = 21x/25Now, if the S.P is 60 more, then the profit is 14% => 21x/25 + 60 = x + 14x/100=> 114x/100 - 21x/25 = 60=> (57 - 42)x/50 = 60=> 15x/50 = 60x = 3000/15 = 200 Therefore, the Cost price C.P = x = Rs. 200
Q: Find the total numbers greater than 4000 that can be formed with digits 2, 3, 4, 5, 6 no digit being repeated in any number ? 1931 05b5cc6cde4d2b4197774e1db
5b5cc6cde4d2b4197774e1db- 1120false
- 2256false
- 3192true
- 4244false
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Answer : 3. "192"
Explanation :
Answer: C) 192 Explanation: We are having with digits 2, 3, 4, 5 & 6 and numbers greater than 4000 are to be formed, no digit is repeated. The number can be 4 digited but greater than 4000 or 5 digited. Number of 4 digited numbers greater than 4000 are4 or 5 or 6 can occupy thousand place => 3 x P34 = 3 x 24 = 72. 5 digited numbers = P55 = 5! = 120 So the total numbers greater than 4000 = 72 + 120 = 192
Q: The angle between the minute hand and the hour hand of a clock when the time is 4.15 is 1931 05b5cc6cfe4d2b4197774e328
5b5cc6cfe4d2b4197774e328- 10false
- 237.5true
- 327false
- 415false
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Answer : 2. "37.5"
Explanation :
Answer: B) 37.5 Explanation: Angle between hands of a clock When the minute hand is behind the hour hand, the angle between the two hands at M minutes past H 'o clock => 30H-M5+M2 degrees Here H = 4, M = 15 and the minute hand is behind the hour hand. Hence the angle = 30[4-(15/5)]+15/2 = 30(1)+7.5 = 37.5 degrees