Quantitative Aptitude Practice Question and Answer
8Q: Chennai express left Hyderabad for Chennai at 14 : 30 hours, travelling at a speed of 60 kmph and Charminar Express left Hyderabad for Chennai on the same day at 16 : 30 hours, travelling at a speed of 80 kmph. How far away from Hyderabad will the two trains meet? 2260 05b5cc6abe4d2b4197774d067
5b5cc6abe4d2b4197774d067- 1360 kmsfalse
- 2480 kmstrue
- 3520 kmsfalse
- 4240 kmsfalse
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Answer : 2. "480 kms"
Explanation :
Answer: B) 480 kms Explanation: Now, the distance covered by Chennai express in 2 hrs = 60 x 2 = 120 kms Let the Charminar Express takes 't' hrs to catch Chennai express => 80 x t = 60 x (2 + t) => 80 t = 120 + 60t => t = 6 hrs Therefore, the distance away from Hyderabad the two trains meet = 80 x 6 = 480 kms.
Q: Derivative of sinx by first principle? 2259 05b5cc6abe4d2b4197774d011
5b5cc6abe4d2b4197774d011- 1-sinxfalse
- 2-cosxfalse
- 3cosxtrue
- 4sinxfalse
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Answer : 3. "cosx"
Explanation :
Answer: C) cosx Explanation: Thus, the derivative of sinx by first principle is cosx.
Q: Twelve percent of Kalyan's monthly salary is equal to the sixteen per cent of Nandu's monthly salary. Sarnesh's monthly salary is half that of Nandu's monthly salary. If sarnesh's annual salary is Rs. 1.08 lacs, What is Kalyan's monthly salary ? 2255 05b5cc72ce4d2b4197774f746
5b5cc72ce4d2b4197774f746- 115,000false
- 236,000false
- 324,000true
- 412,500false
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Answer : 3. "24,000"
Explanation :
Answer: C) 24,000 Explanation: Let K = Kalyan's monthly salaryN = Nandu's monthly salaryS = Sarnesh's monthly salary.Then from given data, 12% of K = 16% of NS = N/2 => N = 2SK = 16/12 x N = 16/12 x 2S= 16/6 x 1.08/12 = 16/6 x 0.09 = 0.24 lacs = 24,000
Q: The number of ways in which six boys and six girls can be seated in a row for a photograph so that no two girls sit together is ? 2255 05b5cc6e2e4d2b4197774ec3e
5b5cc6e2e4d2b4197774ec3e- 12(6!)false
- 26! x 7false
- 36! x ⁷P₆true
- 4Nonefalse
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Answer : 3. "6! x ⁷P₆"
Explanation :
Answer: C) 6! x ⁷P₆ Explanation: We can initially arrange the six boys in 6! ways.Having done this, now three are seven places and six girls to be arranged. This can be done in ⁷P₆ ways. Hence required number of ways = 6! x ⁷P₆
Q: What is the angle made by the hour hand and the minute hand, if the clock shows 9:15 pm ? 2254 05b5cc6d2e4d2b4197774e410
5b5cc6d2e4d2b4197774e410- 1165 degreesfalse
- 2172.5 degreestrue
- 3112.5 degreesfalse
- 4125.5 degreesfalse
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Answer : 2. "172.5 degrees"
Explanation :
Answer: B) 172.5 degrees Explanation: The minute hand angle is the easiest since an hour (i.e. 60 minutes) corresponds to the entire 360 degrees, each minute must correspond to 6 degrees. So just multiply the number of minutes in the time by 6 to get the number of degrees for the minute hand. Here 15 minutes corresponds to 15 x 6 = 90 degrees Next, you have to figure out the angle of the hour hand. Since there are 12 hours in the entire 360 degrees, each hour corresponds to 30 degrees. But unless the time is EXACTLY something o'clock, you have to write the time as a fractional number of hours rather than as hours and minutes.Here the time is 9:15 which is (9 + 15/60) = 37/4 hours. Since each hour corresponds to 30 degrees, we multiply 30 to get (37/4)(30) = 277.5 degrees. Since the hour hand is at 277.5 degrees and the minute hand is at 90 degrees, we can subtract to get the angle of separation. 277.5 - 90 = 187.5 =~ 360 - 187.5 = 172.5 degrees.
Q: Sandeep got Rs. 6000 as his share out of the total profit of Rs. 9000 which he and Saketh earned at the end of one year. If Sandeep invested Rs. 20000 for 6 months, whereas Saketh invested his amount for the whole year, the amount invested by Saketh? 2254 05b5cc6a6e4d2b4197774cdd9
5b5cc6a6e4d2b4197774cdd9- 1Rs. 5000true
- 2Rs. 6200false
- 3Rs. 8100false
- 4R. 7600false
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Answer : 1. "Rs. 5000"
Explanation :
Answer: A) Rs. 5000 Explanation: Let the amount invested by saketh = RS. p Now, that of sandeep = 20,000 x 6 saketh = 12 x p Ratio of their earnings = 120000 : 12p = 6000 : (9000 - 6000) => 12000012p = 60003000 => p= Rs. 5000 Hence, the amount investe by saketh = Rs. p = Rs. 5000.
Q: Two trains are running with speeds 30 kmph and 58 kmph respectively in the same direction. A man in the slower train passes the faster train in 18 seconds. Find the length of the faster train? 2252 05b5cc67ee4d2b4197774c23f
5b5cc67ee4d2b4197774c23f- 1105 mtsfalse
- 2115 mtsfalse
- 3120 mtsfalse
- 4140 mtstrue
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Answer : 4. "140 mts"
Explanation :
Answer: D) 140 mts Explanation: Speeds of two trains = 30 kmph and 58 kmph => Relative speed = 58 - 30 = 28 kmph = 28 x 5/18 m/s = 70/9 m/s Given a man takes time to cross length of faster train = 18 sec Now, required Length of faster train = speed x time = 70/9 x 18 = 140 mts.
Q: 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 x 0 + 1 + 1 = ? 2252 05b5cc611e4d2b4197774b63b
5b5cc611e4d2b4197774b63b- 10false
- 22false
- 312true
- 410false
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Answer : 3. "12"
Explanation :
Answer: C) 12 Explanation: Given 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 x 0 + 1 + 1 Using BODMAS Rule, As multiplication precedes addition, 1 x 0 = 0, Now, 10 + 0 + 1 + 1 = 10 + 2 = 12. Hence, 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 x 0 + 1 + 1 = 12.

