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.

2151.

Q: If the curved surface area of a right circular cone is 10010 sq cm and its slant height is 91 cm, find its total surface area.

A. 27720 sq cm
B. 4620 sq cm
C. 6930 sq cm
D. 13860 sq cm
Answer» E.
2152.

Q: If the cost price of 15 tables is equal to the selling price of 20 tables. The loss percent is:

A. 0.2
B. 0.3
C. 0.25
D. 0.375
Answer» D. 0.375
2153.

Q: If the cost price of 28 items is equal to the selling price of 21 items, what is the profit percentage?

A. 0.12
B. $$ {33{1\over 3}}\%$$
C. 0.2
D. 0.22
Answer» C. 0.2
2154.

Q: If the cost of production of an article is 2/5 of its marked retail price, If it is sold at 10 % discount then what will be profit ?

A. 0.25
B. 0.4
C. 0.5
D. 1.25
Answer» E.
2155.

Q: If the cost of pins reduces by Rs . 4 per dozen, 12 more pins can be purchased for Rs. 48. The cost of pins per dozen after reduction is:

A. Rs. 16
B. Rs. 20
C. Rs. 8
D. Rs . 12
Answer» E.
2156.

Q: If the compound interest rate is 20%  per year, compounded half-yearly, then what will be the interest of two years on the principal of 1,00,000?

A. 46410
B. 44000
C. 21000
D. 33100
Answer» B. 44000
2157.

Q: If the compound interest rate is 20% per annum compounded half yearly, then what will be the interest for two years on the principal of Rs. 100000?

A. 46410
B. 44000
C. 21000
D. 33100
Answer» B. 44000
2158.

Q: If the compound interest on a certain sum for two consecutive years is Rs.220 and Rs.242, then the rate of interest per annum is

A. 0.08
B. 0.1
C. 0.11
D. 0.12
Answer» C. 0.11
2159.

Q: If the compound interest on a certain sum for 2 years at 4% p.a. is Rs. 102, the simple interest at the same rate of interest for two years would be:

A. Rs. 200
B. Rs. 50
C. Rs. 150
D. Rs. 100
Answer» E.
2160.

Q: If the clock read 6:20 and if the minute hand point North-East, in which direction will the hour hand point

A. East
B. North-West
C. West
D. South-East
Answer» B. North-West
2161.

Q: If the circumradius of an equilateral triangle ABC be 8 cm, then the height of the triangle is

A. 8 cm
B. 12 cm
C. 16 cm
D. 6 cm
Answer» C. 16 cm
2162.

Q: If the circumference of a circle is 4.4 m, then the area of the circle (in m2) is :

A. 49/π
B. 49π
C. 4.9π
D. None of these
Answer» E.
2163.

Q: If the circumference of a circle increases from 4π to 8π, what change occurs in its area?

A. It doubles
B. It triples
C. It quadruples
D. It is halved
Answer» D. It is halved
2164.

Q: If the circumcenter of the triangle lies outside it, then the triangle is

A. Right angled
B. Obtuse angle
C. Equilateral
D. Acute angled
Answer» C. Equilateral
2165.

Q: If the average marks of three batches of 55, 60 and 45 students respectively is 50, 55 and 60, then the average marks of all the students is:

A. 55
B. 54.68
C. 53.33
D. None of these
Answer» C. 53.33
2166.

Q: If the average marks obtained by Balu, Benjamin and Babur is 80 and the average marks of Benjamin and Babur is 83, find marks obtained by Balu.

A. 80
B. 83
C. 90
D. 74
Answer» E.
2167.

Q: If the areas of circular ring having inner and outer radius 8 cm and 12 cm respectively is equal to the total surface area of cylinder of radius R1 and height h, then h in terms of R1 will be :

A. $$ {40-R_1\over {R_1}}$$
B. $$ {40-R_1\over {R_1^{2}}}$$
C. $$ {40-R_1^{2}}\over R_1$$
D. None of these
Answer» D. None of these
2168.

Q: If the arithmetic means of 3a and 4b is greater than 50, and a is twice b, then the smallest possible integer value of a is:

A. 18
B. 19
C. 20
D. 21
Answer» E.
2169.

Q: If the area of a triangle is 616 square cm, then its perimeter will be-

A. 88 cm
B. 44 cm
C. 132 cm
D. 161 cm
Answer» B. 44 cm
2170.

Q: If the area of a triangle is 1176 cm2 and the ratio of base corresponding altitude is 3 : 4, then the altitude of the triangle is :

A. 42 cm
B. 52 cm
C. 54 cm
D. 56 cm
Answer» E.
2171.

Q: If the area of a rhombus is 240 square feet if it's one diagonal is 16 feet, then what is the length (in meters) of the side of the rhombus?

A. 5.1 meter
B. 4.1 meter
C. 5.6 meter
D. 6.8 meter
Answer» B. 4.1 meter
2172.

Q: If the area of a circle is 154 m2 then its radius will be

A. 7 cm.
B. 5 cm
C. 14 cm.
D. 3.5 cm
Answer» B. 5 cm
2173.

Q: If the area of a circle is 9π sq.cm then it circumference is

A. 9 cm
B. 6 π cm
C. 3π cm
D. 6 cm
Answer» C. 3π cm
2174.

Q: If the area of a circle inscribed in a square is 9π $$ {}\ cm^2 $$, then the area of the square is

A. $$ {24}\ cm^2 $$
B. $$ {30}\ cm^2 $$
C. $$ {36}\ cm^2 $$
D. $$ {81}\ cm^2 $$
Answer» D. $$ {81}\ cm^2 $$
2175.

Q: If the area of a circle, inscribed in a equilateral triangle is 4 π cm2, then what is the area of the triangle?

A. $$ {12\sqrt{3}\ cm^{2}}$$
B. $$ {9\sqrt{3}\ cm^{2}}$$
C. $$ {8\sqrt{3}\ cm^{2}}$$
D. $$ {18\ cm^{2}}$$
Answer» B. $$ {9\sqrt{3}\ cm^{2}}$$
2176.

Q: If the annual rate of simple interest increases from 8% to 13%, a man’s yearly income increases by Rs. 4800. His principal (in Rs.) is:

A. Rs.90,000
B. Rs.96,000
C. Rs.88,000
D. Rs.1,00,000
E. None of these
Answer» C. Rs.88,000
2177.

Q: If the angles of a triangle are in the ratio of 1:4:7, then find the ratio of the greatest angle to the smallest angle.

A. 07:02:00
B. 02:03:00
C. 07:01:00
D. 03:05:00
Answer» D. 03:05:00
2178.

Q: If the angles of a triangle are in the ratio of 2:3:7, then find the ratio of the greatest angle to the smallest angle.

A. 07:02:00
B. 02:03:00
C. 07:01:00
D. 03:05:00
Answer» B. 02:03:00
2179.

Q: If the angle of the elevation of sun is θ and the length of the shadow of a pole of length P is S, then

A. P=Scosθ
B. P = S sinθ
C. $$ P= {S\over{Cotθ}}$$
D. P=S cotθ
Answer» D. P=S cotθ
2180.

Q: If the angle of elevation of the sun changes from 30o to 45o then length of the shadow of a pillar decreases by 20 meters. The height of the pillar is:

A. $$ {20(\sqrt{3}-1)}\ meter$$
B. $$ {20(\sqrt{3}+1)}\ meter$$
C. $$ {10(\sqrt{3}-1)}\ meter$$
D. $$ {10(\sqrt{3}+1)}\ meter$$
Answer» E.
2181.

Q: If the angle of elevation of the Sun changes from 30 ° to 45 °, the length of the shadow of a pillar decreases by 20 meters. The height of the pillar is

A. 10 ( √3-1 ) m
B. 1 ( √3 + 1 ) m
C. 20 ( √3-1) m
D. 20 (√3 + 1) m
Answer» C. 20 ( √3-1) m
2182.

Q: If the angle of elevation of a balloon from two consecutive kilometer-stones along a road are 30° and 60° respectively, then the height of the balloon above the ground will be

A. $$ √3\over 2 km $$
B. $$ 1\over 2 km $$
C. $$ 2\over √3$$
D. 3√3
Answer» B. $$ 1\over 2 km $$
2183.

Q: If the amount received at the end of 2nd and 3rd year as Compound Interest on a certain Principal is Rs 24200, and Rs 26620 respectively, what is the rate (in %) of interest?

A. 9
B. 4
C. 7
D. 10
Answer» E.
2184.

Q: If the amount is $$ 3{3\over8}\%  $$ times the sum after 3 years at compound interest compounded annually, then the rate of interest per annum is

A. 0.25
B. 0.5
C. 0.1666
D. 0.3333
Answer» C. 0.1666
2185.

Q: If the amount is $$3{3\over 8}$$ times the sum after 3 years at compound interest compounded annually, then the rate of interest per annum is

A. 0.63
B. 0.33
C. 0.25
D. 0.5
Answer» E.
2186.

Q: If the 5 digit number 538xy is divisible by 3, 7 and 11, then the value of (x2 +y2)  is:

A. 25
B. 13
C. 17
D. 10
Answer» C. 17
2187.

Q: If tanx = cot(50+3x), then what is the value of x ?

A. 11
B. 14
C. 10
D. 12
Answer» D. 12
2188.

Q: If $$ {tan3A=cot{(2A+40)}}$$ then find the value of $$ {tan^2{3A}}+{cot^{4}3A}$$.

A. $$ {27\over 3}$$
B. $$ {28\over 3}$$
C. $$ {2\over 3}$$
D. 0
Answer» C. $$ {2\over 3}$$
2189.

Q: If Tan4x – Tan2x=1 then the value of Sin4x + Sin2x is__

A. 1
B. $$ {1\over 2}$$
C. 3
D. $$ {1\over 5}$$
Answer» B. $$ {1\over 2}$$
2190.

Q: If tan4θ + tan2θ = 1, then the value of cos4θ + cos2θ is

A. 2
B. 1
C. – 1
D. – 2
Answer» C. – 1
2191.

Q: If tanθ=1/5 then the value of Cosec2θ=?

A. 5
B. $$ \sqrt{5}$$
C. $$ \sqrt{6}$$
D. 6
Answer» E.
2192.

Q: If $$ {tan\ θ={a\over b}}$$ then $$ {a\sinθ+b\cosθ\over{a\sinθ-b\cosθ}}$$  is

A. $$ {a\over {a^{2}+b^{2}}}$$
B. $$ {b\over {a^{2}+b^{2}}}$$
C. $$ {a^{2}-b^{2}\over {a^{2}+b^{2}}}$$
D. $$ {a^{2}+b^{2}\over {a^{2}-b^{2}}}$$
Answer» E.
2193.

Q: If tan α = 2, then the value of   $$ {cosec^2 α - sec^2 α}\over{cosec^2 α + sec^2 α}   $$ is :

A. $$ -{15\over 9} $$
B. $$ {3\over 5} $$
C. $$ -{3\over 5} $$
D. $$ {17\over 5} $$
Answer» D. $$ {17\over 5} $$
2194.

Q: If tan $$ -{7π\over4}=x $$ then the value of x is :

A. $$-{1\over2}$$
B. $$-{√3\over2}$$
C. $${√3\over2}$$
D. 1
Answer» E.
2195.

Q: If tan A=n tan B and Sin A= m Sin B, then the value of Cos2A is

A. $$ {m^{2}+1\over {n^{2}+1}}$$
B. $$ {m^{2}+1\over {n^{2}-1}}$$
C. $$ {m^{2}-1\over {n^{2}-1}}$$
D. $$ {m^{2}-1\over {n^{2}+1}}$$
Answer» D. $$ {m^{2}-1\over {n^{2}+1}}$$
2196.

Q: If  tan2θ +cot2θ  = 2, then what is the value of  2secθ cosecθ?

A. 0
B. 1
C. 2
D. 4
Answer» E.
2197.

Q: If tan (11 θ)=cot (7θ), then what is the value of sin2(6 θ) + Sec2 (9 θ) + cosec2(12 θ)?

A. $$ {23\over 6}$$
B. $$ {35\over 12}$$
C. $$ {31\over 12}$$
D. $$ {43\over 12}$$
Answer» E.
2198.

Q: If $$ {t^{2}-4t+1=0}$$ then what is the value of $${t^{3}+{1\over {t^{3}}}}$$ ?

A. 44
B. 48
C. 52
D. 64
Answer» D. 64
2199.

Q: If Suresh borrows Rs. 36000 from Mahesh at rate of interest 6% S.I, at the end of four years how much interest Suresh has to pay along with principal amount?

A. Rs. 12560
B. Rs. 12960
C. Rs. 13500
D. Rs. 14500
Answer» C. Rs. 13500
2200.

Q: If $$ \sqrt {x^2+y^2}=25$$, and y=2x, find x.

A. 5
B. 25
C. $$ \sqrt {125}$$
D. $$ \sqrt {5}$$
Answer» D. $$ \sqrt {5}$$