Quantitative Aptitude Practice Question and Answer
8Q: A is three times as old as B. C was twice-as old as A four years ago. In four years' time, A will be 31. What are the present ages of B and C ? 1658 05b5cc720e4d2b4197774f5ea
5b5cc720e4d2b4197774f5ea- 145, 10false
- 210, 50false
- 39, 50true
- 450, 15false
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Answer : 3. "9, 50"
Explanation :
Answer: C) 9, 50 Explanation: Let the age of A = A, B = B and C = C From given A = 3B 4 years ago, C-4 = 2(A-4); After 4 years A + 4 = 31; A = 27;sub in above B, we get B = 9 C = 2(27 - 4) + 4 = 46 + 4 = 50 Hence B = 9yrs and C = 50yrs.
Q: How much time will a train of length 200 m moving at a speed of 72 kmph take to cross another train of length 300 m, moving at 36 kmph in the same direction ? 1656 05b5cc6e2e4d2b4197774ec2f
5b5cc6e2e4d2b4197774ec2f- 158 secfalse
- 262 secfalse
- 360 secfalse
- 450 sectrue
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Answer : 4. "50 sec"
Explanation :
Answer: D) 50 sec Explanation: The distance to be covered = Sum of their lengths = 200 + 300 = 500 m. Relative speed = 72 -36 = 36 kmph = 36 x 5/18 = 10 mps. Time required = d/s = 500/10 = 50 sec.
Q: A person lends Rs. 1540 for five years and Rs. 1800 for four years. If he gets Rs. 1788 as interest on both amounts, what is the rate of interest ? 1656 05b5cc6c8e4d2b4197774deec
5b5cc6c8e4d2b4197774deec- 114.5%false
- 211%false
- 312%true
- 410.5%false
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Answer : 3. "12%"
Explanation :
Answer: C) 12% Explanation: Let the interest rate be r% We know that, S.I = PTR/100 => (1540 x 5 x r)/100 + (1800 x 4 x r)/100 = 1788 => r = 178800/14900 = 12%
Q: Prasanna invested certain amount in three different schemes X, Y and Z with the rate of interest 10% p.a, 12% p.a and 15% p.a respectively. If the total interest accrued in one year was Rs. 3200 and the amount invested in Scheme Z was 150% of the amount invested in Scheme X and 240% of the amount invested in Scheme Y, what was the amount invested in Scheme Y by Prasanna ? 1653 05b5cc6c5e4d2b4197774ddb9
5b5cc6c5e4d2b4197774ddb9- 1Rs.6000false
- 2Rs.4500false
- 3Rs.7500false
- 4Rs.5000true
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Answer : 4. "Rs.5000"
Explanation :
Answer: D) Rs.5000 Explanation: Let a, b and c be the amounts invested in schemes X, Y and Z respectively. Then, As we know: Simple interest (S.I.) = PTR/100 (a × 10 × 1/100) + (b × 12 × 1/100) + (c × 15 × 1/100) = 3200 = 10a + 12b + 15c = 320000 .........(1) Now, c = 240% of b = 12b/5 .........(2) And, c = 150% of a = 3a/2 => a = 2/3 c = (2 × 12)b/(3 × 5) = 8b/5 .......(3) From (1), (2) and (3), we have 16b + 12b + 36b = 320000 => 64b = 320000 => b = 5000 ∴ Sum invested in Scheme Y = Rs.5000.
Q: How many seconds will a 800 meter long train moving with a speed of 63 km/hr take to cross a man walking with a speed of 3 km/hr in the direction of the train ? 1652 05b5cc6dde4d2b4197774ea0f
5b5cc6dde4d2b4197774ea0f- 148true
- 252false
- 338false
- 442false
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Answer : 1. "48"
Explanation :
Answer: A) 48 Explanation: Here distance d = 800 mts speed s = 63 - 3 = 60 kmph = 60 x 5/18 m/s time t = 800x1860x5= 48 sec.
Q: In how many different ways can the letters of the word 'ABYSMAL' be arranged ? 1652 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: In a college, number of boys is 75% of number of girls. Difference between boys and girls is 35. On a particular day 20% boys were absent, then find the number of boys those who present? 1649 05b5cc6b7e4d2b4197774d5e2
5b5cc6b7e4d2b4197774d5e2- 172false
- 284true
- 393false
- 481false
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Answer : 2. "84"
Explanation :
Answer: B) 84 Explanation: Ratio of girls and boys = 100% : 75% = 4:3 Difference is 1 unit = 35 So, 3 units = 35 x 3 = 105 If 20% absent, that’s mean 80% present. So, present boys = 80% of 105 = 80×105100 = 84
Q: In a race of 200 m, A can beat B by 31 m and C by 18 m. In a race of 350 m, C will beat B by ? 1648 05b5cc74fe4d2b4197774faf4
5b5cc74fe4d2b4197774faf4- 125 mtrue
- 221 mfalse
- 322 mfalse
- 419 mfalse
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Answer : 1. "25 m"
Explanation :
Answer: A) 25 m Explanation: A:B = 200 : 169A:C = 200 : 182 CB = CA×AB 182200×200169 => 182:169 When C covers 182 m , B Covers 169 mWhen C covers 350 m , B Covers 169182×350=> 325 m So C beats B by (350 - 325) = 25 m.