Mathematics : 100 Most Important Questions with Solutions

By Asha Gupta|Updated : August 25th, 2021

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1. The degree of the polynomial 6x3 − 3x2 + 5x + 7
A. 1 B. 2
C. 0 D. 3
Ans. D
Sol.: The exponent of the highest power term is called the degree of a polynomial.
2. The mean of 20 items is 55. If two items 45 and 30 are removed, the new mean of the
remaining items is
A. 65.1
B. 65.3
C. 56.9
D. 56
Ans. C
Sol.: Mean of 20 items = 55
Total = 20*55 = 1100
If 45 and 30 are removed then the total sum of the remaining 18 items
= 1100 – (45+30) = 1025
Hence mean of remaining 18 items = 1025/ 18 = 56. 9
3. A car covers a distance of 528 km in a certain time at a speed of 66 km/hr. How much
distance would a truck cover at an average speed which is 24 km/hr less than the speed
of the car in a time which is 7 hours more than that taken by the car?
A. 336 km B. 682 km
C. 598 km D. 630 km
Ans. D
Sol.: Distance covered by car = 528 km
Speed = 66 km / hr
Time = distance / speed = 528/ 66 = 8 hr
Speed of truck = 24 km/ hr less than speed of car = 66 – 24 = 42 km/hr
Time taken by truck is 7 hours more than that taken by the car = 8+7 = 15 hr
Distance covered by truck = speed ×time = 42×15 = 630km

Here is the PDF of 100 Most Important Questions with Solutions

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