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.

1801.

Q: In the given figure, a circle is placed in a rectangle with another rectangle of dimension 10 cm × 5 cm whose one vertex coincides with vertex of bigger rectangle and opposite vertex lies on circumference of circle. Find the radius of circle.

A. 35 cm
B. 25 cm
C. 40 cm
D. 20 cm
Answer» C. 40 cm
1802.

Q: In the given figure AB, BC and CA is a tangent of a circle if BC=6.3 cm and MC=2.7 cm then the Value of BL is

A. 3.5 cm
B. 2.5 cm
C. 3.6 cm
D. 2 cm
Answer» D. 2 cm
1803.

Q: In the given figure, AB, AE, EF, FG and GB are semicircles. AB=56 cm and AE=EF=FG=GB. What is the area (in cm2) of the shaded region?

A. 414.46
B. 382.82
C. 406.48
D. 394.24
Answer» E.
1804.

Q: In the given fig, find the value of x

A. 135°
B. 155°
C. 145°
D. 70°
Answer» D. 70°
1805.

Q: In the following questions two equations numbered I and II are given. You have to solve both the equations and ____(A) x>y(B) x≥y(C) x

A. A
B. B
C. C
D. D
E. E
Answer» C. C
1806.

Q: In the following frequency table, the value of H will be

A. 10
B. 8
C. 7
D. 2
Answer» E.
1807.

Q: In the following figure if OA=10 and AC=16, then OB must be:

A. 5
B. 6
C. 3
D. 4
Answer» C. 3
1808.

Q: In the first 10 overs of a cricket game, the run rate was only 3.2. The run rate in the remaining 40 overs to reach the target of 282 runs is –

A. 6.4
B. 6.3
C. 6.25
D. 6.5
Answer» D. 6.5
1809.

Q: In the figure given below, AD bisects ∠BAC. If the area of ΔABD=40 cm2 and AC=3AB, then the area of ΔABC:

A. $$ {150 \ cm^{2}}$$
B. $$ {100 \ cm^{2}}$$
C. $$ {120 \ cm^{2}}$$
D. $$ {160 \ cm^{2}}$$
Answer» D. $$ {160 \ cm^{2}}$$
1810.

Q: In the figure given below, PT=6 cm and PA=4 cm. What is the length of AB?

A. 9 cm
B. 5 cm
C. 4 cm
D. 6 cm
Answer» C. 4 cm
1811.

Q: In the figure below, O of the circle is the centre. OA = 3 cm, AC = 3 cm and OM is perpendicular to AC. So the value of ∠ABC will be

A. 30°
B. 60°
C. 120°
D. 45°
Answer» B. 60°
1812.

Q: In the figure below, find the value of AB.

A. $$ {\sqrt{ 120}}$$
B. $$ {\sqrt{ 112}}$$
C. $$ {\sqrt{ 140}}$$
D. $$ {\sqrt{ 129}}$$
Answer» C. $$ {\sqrt{ 140}}$$
1813.

Q: In the figure below, AB is a chord of a circle with centre O. A tangent AT is drawn at point A so that ∠BAT=50°.Then ∠ADB=?

A. 120°
B. 130°
C. 140°
D. 150°
Answer» C. 140°
1814.

Q: In the afternoon, a student read 100 pages at the rate of 60 pages per hour. In the evening, when she was tired, she read 100 more pages at the rate of 40 pages per hour. What was her average rate of reading the pages per hour?

A. 48
B. 50
C. 60
D. 70
Answer» B. 50
1815.

Q: In the adjoining figure ∠AOC=140° where O is the centre of the circle then ∠ ABC is equal to:

A. 90°
B. 110°
C. 100°
D. 40°
Answer» C. 100°
1816.

Q: In solving a problem, one student makes a mistake in the coefficient of the first degree term and obtains – 9 and – 1 for the roots. Another student makes a mistake in the constant term of the equation and obtains 8 and 2 for the roots. The correct equation was

A. x2 + 10x + 9 = 0
B. x2 – 10x = 16 = 0
C. x2 – 10x + 9 = 0
D. None of these
Answer» D. None of these
1817.

Q: In one hour, a boat goes 11 km along the stream and 5 km against the stream. The speed of the boat in still water (in km/hr) is :

A. 2
B. 4
C. 8
D. 9
Answer» D. 9
1818.

Q: In one glass, milk and water are mixed in the ratio 3:5 and in another glass they are mixed in the ratio 6:1.In what ratio should the content of the two glasses be mixed together so that new mixture contains milk and water in the ratio 1:1?

A. 20:07:00
B. 08:03:00
C. 1900-01-01 03:04:00
D. 1900-01-01 01:09:00
Answer» B. 08:03:00
1819.

Q: In Kolkata, number of Specialist Officers is approximately what percent of that of Officers?

A. 8.7
B. 9
C. 6.5
D. 8
E. 6.9
Answer» E. 6.9
1820.

Q: In how much time the money of Rs 6400 will be Rs 6561 at the rate of 5 percent annual interest if the compound interest is payable quarterly?

A. 6 Month
B. 12 Month
C. 24 Month
D. 18 Month
Answer» B. 12 Month
1821.

Q: In how much time compound money at compound interest of half yearly rate of Rs 800 will be Rs 926.10?

A. $$ {1}{1\over3}year$$
B. $$ {1}{1\over2}year$$
C. $$ {2}{1\over3}year$$
D. $$ {2}{1\over2}year$$
Answer» C. $$ {2}{1\over3}year$$
1822.

Q: In how much time a train 270-meter-long running at 54 km/hrs. Can cross a person?

A. 18 second
B. 15 second
C. 12 second
D. 20 second
Answer» B. 15 second
1823.

Q: In how many years will be Rs. 2,000 amounts to Rs.2,420 at 10% per annum compound interest ?

A. 3 years
B. $$ {2}{1\over2} years$$
C. 2 years
D. $$ {1}{1\over2} years$$
Answer» D. $$ {1}{1\over2} years$$
1824.

Q: In how many years will Rs 2000 become Rs 2420 at 10 percent compound annual interest?

A. 3
B. $$ {2{1\over 2}}$$
C. 2
D. $$ {1{1\over 2}}$$
Answer» D. $$ {1{1\over 2}}$$
1825.

Q: In how many years was the production of fertilizers more than the average production of the given years?

A. 1
B. 2
C. 3
D. 4
E. None of these
Answer» E. None of these
1826.

Q: In how many years was the revenue of the company more than 1.2 times the average expenditure over the given five years?

A. 4
B. 2
C. 1
D. 3
Answer» C. 1
1827.

Q: In how many years the increase of selling is greater than 10% for any brand?

A. 1
B. 2
C. 3
D. 4
E. None of these
Answer» B. 2
1828.

Q: In how many ways can letter of the word MAILINGS arrange so that M and N always come together?

A. 5040
B. 10080
C. 40320
D. 20160
E. 30240
Answer» B. 10080
1829.

Q: In how many ways can a committee schedule three speakers for three different meetings if they are all available on any of five possible dates?

A. 10
B. 36
C. 60
D. 120
Answer» D. 120
1830.

Q: In how many different ways can the letters of the word ‘STRESS’ be arranged?

A. 360
B. 240
C. 720
D. 120
E. None of these
Answer» E. None of these
1831.

Q: In how many different ways can the letters of the word ‘DESIGN’ be arranged so that the vowels are at the two ends?

A. 48
B. 72
C. 36
D. 24
E. None of these
Answer» B. 72
1832.

Q: In how many different ways can the letters of the word ‘CREAM’ be arranged?

A. 720
B. 240
C. 360
D. 504
E. None of these
Answer» F.
1833.

Q: In how many different ways can the letters of the word 'NATIONAL' be arranged?

A. 6720
B. 5040
C. 10080
D. 1020
E. 3360
Answer» D. 1020
1834.

Q:  In how many days can be B alone complete the work?I. B and C together can complete the work in 8 days.II. A and B together can complete the work in 12 days.

A. A
B. B
C. C
D. D
E. E
Answer» E. E
1835.

Q: In how many different ways can letters of the word ‘SECOND’ be arranged?

A. 720
B. 120
C. 5040
D. 270
E. None of the above
Answer» B. 120
1836.

Q: In how many departments of XYZ Ltd is the number of employees, as a percentage of the number of employees in P, more than 80%?

A. 2
B. 3
C. 1
D. 4
E. None of these
Answer» B. 3
1837.

Q: In hotel B, the ratio of female customers on Tuesday and Friday was 2 : 3. If on Friday, female customers constituted 50% of the number of customers (male + female), then what was the number of customers (male + female) in hotel B on Friday?

A. 282
B. 276
C. 288
D. 296
E. 294
Answer» B. 276
1838.

Q: In hotel A, what is the difference between the total number of male customers on Monday and Tuesday together and that on Wednesday and Thursday together?

A. 187
B. 181
C. 183
D. 177
E. 185
Answer» C. 183
1839.

Q: In equation $$ {x^{2}-24x+k=0}$$ the first root is x=2 then find out  the second root of equation.

A. x=-22
B. x=12
C. x=22
D. x=-12
Answer» D. x=-12
1840.

Q: In ΔPQR , ∠R=54° the perpendicular bisector of PQ at S meets QR at T. If ∠TPR =46°, then what value of (in degree) ∠PQR?

A. 25
B. 50
C. 75
D. 40
Answer» E.
1841.

Q: In ΔABC θ is an acute angle and tanθ is equal to three times of cotθ. Find the value of $$ {sin^{2}θ+cosec^{2}θ-{1\over 2}cot^{2}θ}$$.

A. $$ {23\over 12}$$
B. $$ {23\over 9}$$
C. $$ {23\over 11}$$
D. $$ {23\over 8}$$
Answer» B. $$ {23\over 9}$$
1842.

Q: In ΔABC, AB=c cm, AC= b cm and CB=a cm, If  ∠A=2 ∠B, then which of the following is true?

A. $$ {a^{2}=b^{2}-bc}$$
B. $$ {a^{2}=b^{2}-ac}$$
C. $$ {a^{2}=b^{2}+bc}$$
D. $$ {a^{2}=b^{2}+ac}$$
Answer» D. $$ {a^{2}=b^{2}+ac}$$
1843.

Q: In ΔABC, ∠C=90° and D is a point on CB such that AD is the bisector of ∠A. If AC=5 cm and BC=12 cm, then what is the length of AD?

A. $$ {10\over 3}{cm}$$
B. $$ {5\sqrt{13}\over 6}{ \ cm}$$
C. $$ {5\sqrt{13}\over 3}{ \ cm}$$
D. $$ {20\over 3} {\ cm}$$
Answer» D. $$ {20\over 3} {\ cm}$$
1844.

Q: In ΔABC, ∠C=90° and CD is perpendicular to AB at D. If AD/BD=$$ {\sqrt{k}}$$, then AC/BC=?

A. $$ {\sqrt{k}}$$
B. $$ {1\over{\sqrt{k}}}$$
C. $$ {^4\sqrt{k}}$$
D. k
Answer» D. k
1845.

Q: In ΔABC, AB = AC and ∠B = 40 °, find the value of ∠A.

A. 40°
B. 100°
C. 80°
D. 10°
Answer» C. 80°
1846.

Q: In city B & C, ratio of postgraduates is 7 : 8. Total population who is postgraduate in city B is equal to total population of city A. find ratio of non-postgraduate population in city B to that of city C.

A. 07:03:00
B. 08:03:00
C. 07:01:00
D. 03:01:00
E. 08:01:00
Answer» E. 08:01:00
1847.

Q: In circular measure, the value of the angle 11015’ is :

A. $${π^0}\over 16$$
B. $${π^0}\over 8$$
C. $${π^0}\over 4$$
D. $${π^0}\over 12$$
Answer» B. $${π^0}\over 8$$
1848.

Q: In Chennai, the number of clerks is approximately how much percent more than that of officers?

A. 18
B. 22
C. 20
D. 2
E. 13
Answer» C. 20
1849.

Q: In category A, the ratio of male workers to female workers is 2 : 3. The number of female workers in category A is what percentage of the total number of workers in category F?

A. 0.355
B. 0.38
C. 0.375
D. 0.36
Answer» E.
1850.

Q: In bag there are coins of 25 paisa, 50 paisa and 1 rupee in the ratio of 3 : 4 : 5. If there are in all Rs.31, then how many 1 rupee coins are there in the bag?

A. 12
B. 16
C. 24
D. 20
Answer» E.