Explore topic-wise MCQs in Mathematics.

This section includes 3977 Mcqs, each offering curated multiple-choice questions to sharpen your Mathematics knowledge and support exam preparation. Choose a topic below to get started.

651.

Q: The speed of a train varies inversely with its length. A 200 meters long train runs at a speed of 60 km/hr. In how much time will a 500 meters long train cover 96 km?

A. 3 hours
B. 4 hours
C. 4.5 hours
D. 5 hours
Answer» C. 4.5 hours
Discussion
652.

Q: The speed of a train is 4/7 of the speed of a car. The car covers 252 m. distance in 9 seconds. In what time will the train cover a distance of 64m.?

A. 3 sec.
B. 5 sec.
C. 4 sec.
D. 7 sec.
E. None of these
Answer» D. 7 sec.
Discussion
653.

Q: The speed of a bus Excluding stoppages, is 80 kmph and including stoppages, it is 72 kmph. For how many minutes does the bus stop per hour?

A. 12
B. 18
C. 7
D. 6
Answer» E.
Discussion
654.

Q: The speed of a  boat in still water is 20 kmph and the rate of current is 4 kmph. The distance travelled by the boat downstream in 30 minute is

A. 10 km
B. 12 km
C. 16 km
D. 15 km
E. 8 km
Answer» C. 16 km
Discussion
655.

Q: The speed of a boat in still water is 10 km/hr. If it can travel 26 km downstream and 14 km upstream in the same time, the speed of the stream is:

A. 1.5km/hr
B. 2.5 km/hr
C. 3 km/hr
D. 4.5 km
Answer» D. 4.5 km
Discussion
656.

Q: The speed of a boat in still water is 15 km/hr and the rate of current is 3 km/hr. The distance traveled downstream in 12 minutes is :

A. 2.1 km
B. 1.8 km
C. 4.2 km
D. 3.6 km
Answer» E.
Discussion
657.

Q: The speed of a boat in still water is 10 km/hr. It covers (upstream) a distance of 45 km in 6 hours. The speed (in km/hr) of the stream is :

A. 3.5 km/h
B. 4 km/h
C. 2.5 km/h
D. 3 km/h
Answer» D. 3 km/h
Discussion
658.

Q: The speed of a boat in still water 11 km/hr. It can go 12 km upstream and return downstream to the engine point in 2hr 45min. What is the speed of stream?

A. 3 km/hr.
B. 2 km/hr
C. 5 km/hr
D. 4 km/hr
Answer» D. 4 km/hr
Discussion
659.

Q: The speed of a boat downstream is 15 km/hr. and the speed of current is 3 km/hr. Find the total time taken by the boat to cover 15 km upstream and 15 km downstream.

A. 3 hours 10 minutes
B. 2 hours 30 minutes
C. 2 hours 40 minutes
D. 2 hours 42 minutes
Answer» D. 2 hours 42 minutes
Discussion
660.

Q: The smallest possible three - place decimal is:

A. 0.012
B. 0.123
C. 0.111
D. None of the above
Answer» E.
Discussion
661.

Q: The smallest positive integer when multiplied by 392, the product is a perfect square, is

A. 6
B. 5
C. 3
D. 2
Answer» E.
Discussion
662.

Q: The smallest number, which when increased by 5 is divisible by each of 24, 32, 36 and 54, is

A. 571
B. 427
C. 869
D. 859
Answer» E.
Discussion
663.

Q: The smallest positive integer n for which 864 x n is a perfect cube, is:

A. 3
B. 4
C. 1
D. 2
Answer» E.
Discussion
664.

Q: The smallest number which should be added to the number 8958 so that the result is a perfect square is

A. 69
B. 67
C. 77
D. 79
Answer» C. 77
Discussion
665.

Q: The smallest perfect square divisible by each of 6, 12 and 18 is :

A. 196
B. 144
C. 108
D. 36
Answer» E.
Discussion
666.

Q: The smallest number that must be subtracted from 1000 to make the resulting number a perfect square is

A. 39
B. 40
C. 37
D. 38
Answer» B. 40
Discussion
667.

Q: The smallest number, which should be added to 756896 so as to obtain a multiple of 11, is :

A. 1
B. 2
C. 3
D. 5
Answer» D. 5
Discussion
668.

Q: The smallest number of five digits exactly divisible by 476

A. 47600
B. 10000
C. 10476
D. 10472
Answer» E.
Discussion
669.

Q: The smallest natural number, by which 3000 must be divided to make the quotient a perfect cube, is :

A. 5
B. 6
C. 3
D. 4
Answer» D. 4
Discussion
670.

Q: The smallest 5-digit number divisible by 41 is:

A. 10045
B. 10041
C. 10004
D. 41000
Answer» D. 41000
Discussion
671.

Q: The slope of the line joining point P(-4, 7) and Q( 2, 3) is:

A. $$ -{2\over 3}$$
B. $$ {2\over 3}$$
C. $$ -{3\over 2}$$
D. $$ {3\over 2}$$
Answer» B. $$ {2\over 3}$$
Discussion
672.

Q: The smallest 4- digit number which is a perfect square is

A. 1024
B. 1025
C. 1009
D. 1016
Answer» B. 1025
Discussion
673.

Q: The slopes of two lines are 1 and √3. What is the angle between these two lines?

A. $$45^0$$
B. $$60^0$$
C. $$15^0$$
D. $$30^0$$
Answer» D. $$30^0$$
Discussion
674.

Q: The slant height of a right circular cone is 15 m and its height is 9 m. The area of its curved surface, is:

A. 169 π m2
B. 172 π m2
C. 165 π m2
D. 180 π m2
Answer» E.
Discussion
675.

Q: The single discount which is equivalent to three successive discounts of 25%, 20% and 10% is-

A. 0.46
B. 0.45
C. 0.55
D. 0.54
Answer» B. 0.45
Discussion
676.

Q: The simplified value of$${{1\over 3}÷{1\over 3}×{1\over 3}\over{1\over 3}÷{1\over 3}of{1\over 3}}-{1\over 9}$$

A. 0
B. 1
C. 2021-03-01 00:00:00
D. 2021-09-01 00:00:00
Answer» B. 1
Discussion
677.

Q: The simple interest on Rs. 12000 at a certain rate of interest in five years is Rs. 7200. Find the compound interest on the same amount for five years at the same rate of interest.

A. Rs. 3502.80
B. Rs. 3052.40
C. Rs. 3054.80
D. Rs. 3052.80
Answer» E.
Discussion
678.

Q: The simple interest on an amount of 2,800 at the end of 3 years is Rs 420. What will be the simple interest at Rs 3200 for the same rate and for the same period?

A. Rs .480
B. Rs. 560
C. Rs. 440
D. Rs. 640
Answer» B. Rs. 560
Discussion
679.

Q: The simple interest on an amount at the rate of 7 percent for five years is Rs 700. So how much is the principal?

A. 1800
B. 1600
C. 2000
D. 2100
Answer» D. 2100
Discussion
680.

Q: The simple interest on an amount at the rate of 13.5 p.c.p.a. for 10 years is Rs. 765.45. What is the sum?

A. Rs. 567
B. Rs. 885.95
C. Rs. 5670
D. Can't be determined
E. None of these
Answer» B. Rs. 885.95
Discussion
681.

Q: The simple interest on a sum  of money is $$8\over 25$$$ of the sum. If the number of years is numerically half the rate percent per annum, then the rate percent per annum is

A. 0.06
B. 0.08
C. 0.05
D. 0.04
Answer» C. 0.05
Discussion
682.

Q: The simple interest on a certain sum of the money at 4 % per annum for 4 years is Rs.80 more than the interest on the same sum for 3 years at 5 % per annum. Find the sum.

A. Rs. 6,000
B. Rs. 8000
C. Rs. 10000
D. Rs. 12000
Answer» C. Rs. 10000
Discussion
683.

Q: The simple interest on a sum of money is $${4\over 9}$$of the principal and the number of years is equal to the rate percent per annum. The rate per annum is :

A. 0.05
B. $$6{2\over3}\%$$
C. 0.06
D. $$7{1\over5}\%$$
Answer» C. 0.06
Discussion
684.

Q: The simple interest on a sum of money for 10 year is Rs. 3130. If the principal becomes 5 times after 5 years, then what will be the total interest (in Rs) obtained after 10 years?

A. 9390
B. 15650
C. 6260
D. 7825
Answer» B. 15650
Discussion
685.

Q: The simple interest on a sum of money for 3 years is ₹240 and the compound interest on the same sum, at the same rate  for 2 years is ₹170. The rate of interest is

A. $$7{9\over 17}\%$$
B. $$29{1\over 6}\%$$
C. $$12{1\over 2}\%$$
D. $$5{5\over 17}\%$$
Answer» D. $$5{5\over 17}\%$$
Discussion
686.

Q: The simple interest on a sum of money is 4 / 9 of the principal and the number of years is equal to the rate percent per annum. The rate per annum is

A. 0.05
B. $$ 6{2\over 3}\% $$
C. 0.06
D. $$ 8{2\over 3}\% $$
Answer» C. 0.06
Discussion
687.

Q: The simple interest on a certain sum of money at the rate of 5 % per annum for 8 years is ₹ 840. Rate of interest for which the same amount of interest can be received on the same sum after 5 years is?

A. 0.07
B. 0.08
C. 0.09
D. 0.1
Answer» C. 0.09
Discussion
688.

Q: The simple interest on a certain sum for 2 years at a certain rate of interest is Rs.2000 and compound interest on the same sum, same time and same rate of interest is Rs.2050. Then find the ratio between CI for 2 years and CI for 3 years?

A. 820 : 1361
B. 820 : 1261
C. 1261 : 820
D. 1361 : 820
E. None of these
Answer» C. 1261 : 820
Discussion
689.

Q: The simple interest for four years is one fourth of the principal. At the same rate, which amount become Rs.450 total amount in 2 years?

A. Rs. 400
B. Rs. 525
C. Rs. 425
D. Rs. 525
Answer» B. Rs. 525
Discussion
690.

Q: The simple interest of 7 years of money is Rs. 1750. If the rate of interest was 2% more per annum, how much interest would have been higher?

A. Rs. 35
B. Rs. 245
C. Rs. 350
D. Cannot determined
Answer» E.
Discussion
691.

Q: The simple interest on a certain sum at 5% per annum for 3 years and 4 years differ by Rs. 42. The sum is :

A. Rs. 210
B. Rs. 280
C. Rs. 750
D. Rs. 840
Answer» E.
Discussion
692.

Q: The simple interest on ₹ 4,000 in 3 years at the rate of x % per annum equals the simple interest on ₹ 5,000 at the rate of 12% per annum in 2 years. The value of x is

A. 0.1
B. 0.06
C. 0.08
D. 0.09
Answer» B. 0.06
Discussion
693.

Q: The simple interest and the true discount on a certain sum for a given period and at a given rate are 25 and 20 respectively. The sum is

A. 500
B. 200
C. 250
D. 100
Answer» E.
Discussion
694.

Q: The simple interest accrued on an amount of Rs. 8500 at the end of four years is Rs.3400. What would be the compound interest accrued on the same amount at the same rate of interest after three years?

A. 2560.25
B. 2813.5
C. 2740
D. 2944
Answer» C. 2740
Discussion
695.

Q: The simple interest accrued on an amount of Rs 16500 at the end of 3 years is Rs. 4950. What would be the compound interest accrued on the same amount at the same rate in the same period?

A. Rs. 5462.9
B. Rs. 5461.5
C. Rs. 5641.2
D. Rs. 5621.3
E. Rs. 5162 4
Answer» C. Rs. 5641.2
Discussion
696.

Q: The simple interest accrued on an amount of Rs 15,000 at the end of three year is Rs 2,250. What would be the compound interest accrued on the same amount at the same rate in the same period?

A. Rs 8934.6784
B. Rs 8017.5744
C. Rs 7861.8754
D. Cannot be determined
E. None of these
Answer» F.
Discussion
697.

Q: The sides of a triangle are 56 cm, 90 cm and 106 cm. The circumference of its circumcircle is:

A. 108 π
B. 112 π
C. 106 π
D. 109 π
Answer» D. 109 π
Discussion
698.

Q: The side of a square is 8 cm. If a square is made by joining the mid points of each sides of this square and this process goes up to infinity. Calculate the sum of areas of all the squares made.

A. 128 $$cm^2$$
B. 256 $$cm^2$$
C. 64 $$cm^2$$
D. 32 $$cm^2$$
Answer» B. 256 $$cm^2$$
Discussion
699.

Q: The sides of a rectangular plot are in the ratio 5: 4 and its area is equal to 500 sq.m. The perimeter of the plot is:

A. 80 m
B. 100 m
C. 90 m
D. 95 m
Answer» D. 95 m
Discussion
700.

Q: The shadow of the tower becomes 60 meters longer when the altitude of the sun changes from 45 ° to 30 °. Then the height of the tower is

A. 30(√3+1) m
B. 30(√3-1) m
C. 20(√3+1) m
D. 24(√3+1) m
Answer» B. 30(√3-1) m
Discussion