Quantitative Aptitude Practice Question and Answer
8Q: (3x + 2) (2x - 5) = ax² + kx + n. What is the value of a - n + k ? 1675 05b5cc74fe4d2b4197774fafe
5b5cc74fe4d2b4197774fafe- 14false
- 21false
- 35true
- 43false
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Answer : 3. "5"
Explanation :
Answer: C) 5 Explanation: (3x + 2) (2x - 5) = ax2+kx+n ...............(1) But (3x + 2)(2x - 5) = 6x2-11x-10........(2) so by comparing (1) & (2), we get a= 6, k= -11 , n= -10 (a - n + k) = 6 + 10 - 11 = 5.
Q: What is the angle made by the hour hand and the minute hand, if the clock shows 9:15 pm ? 1672 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: H.C.F of 4 x 27 x 3125, 8 x 9 x 25 x 7 and 16 x 81 x 5 x 11 x 49 is : 1671 05b5cc6e7e4d2b4197774eda6
5b5cc6e7e4d2b4197774eda6- 1360false
- 2180true
- 390false
- 4120false
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Answer : 2. "180"
Explanation :
Answer: B) 180 Explanation: 4 x 27 x 3125 = 22 × 33 × 55 ; 8 x 9 x 25 x 7 = 23 × 32 × 52 × 7 16 x 81 x 5 x 11 x 49 = 24 × 34 × 5 × 11 × 72 H.C.F = 22 × 32 × 5 = 180.
Q: A person travels from K to L a speed of 50 km/hr and returns by increasing his speed by 50%. What is his average speed for both the trips ? 1671 05b5cc6d8e4d2b4197774e764
5b5cc6d8e4d2b4197774e764- 155 kmphfalse
- 258 kmphfalse
- 360 kmphtrue
- 466 kmphfalse
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Answer : 3. "60 kmph"
Explanation :
Answer: C) 60 kmph Explanation: Speed on return trip = 150% of 50 = 75 km/hr. Average speed = (2 x 50 x 75)/(50 + 75) = 60 km/hr.
Q: A fruit seller buys lemons two for Rs 1 and sells at 5 for Rs 3 rate. Find his profit percent. 1670 05d133acf40daee3c552fcb1a
5d133acf40daee3c552fcb1a- 110false
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- 320true
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Answer : 3. "20 "
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 ? 1666 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 ? 1663 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: A rectangular grassy plot 120 m. by 60 m has a gravel path 1.5 m wide all round it on the inside. Find the cost of gravelling the path at 65 paise per sq. metre ? 1661 05b5cc723e4d2b4197774f690
5b5cc723e4d2b4197774f690- 1Rs. 345.15true
- 2Rs. 245.1false
- 3Rs. 234.18false
- 4Rs. 456.65false
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Answer : 1. "Rs. 345.15"
Explanation :
Answer: A) Rs. 345.15 Explanation: area of the plot = 120m x 60m = 7200 sq.marea of plot excluding gravel = 117m x 57m = 6669 sq.marea of gravel = 7200 sq.m - 6669 sq.m = 531 sq.mcost of building it = 531 sq.m x 65 ps = 34515 psIn Rs. = 34515/100 = Rs. 345.15.