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.

2201.

Q: If  $$\sqrt{a}+\sqrt{b}=15 \ and \ (\sqrt{a}-\sqrt{b} )=3$$ then the value of $$\sqrt{ab/4} $$ is

A. $$27\over 2$$
B. 5
C. 6
D. 7
Answer» B. 5
2202.

Q:  If $${\sqrt{7-2}\over\sqrt{7+2}}=a\sqrt{7}+b$$, then the value of a is :

A. $${4\over3}$$
B. $${-4√7\over3}$$
C. $${11\over2}$$
D. $$-{4\over3}$$
Answer» E.
2203.

Q: If $$ {\sqrt{3}\ CosA=SinA}$$ then what is the value of Cot A?

A. $$ {\sqrt{3}}$$
B. $$ {2\over {\sqrt{3}}}$$
C. $$ {1\over {\sqrt{3}}}$$
D. 2
Answer» D. 2
2204.

Q: If  $$\sqrt{2}=1.414$$, the value of $${ \sqrt{2}-1\over\sqrt{2}+1}$$  is nearest to

A. 0.414
B. 0.586
C. 0.172
D. 1.414
Answer» D. 1.414
2205.

Q: If $$ {\sqrt{4^{n}}=1024}$$, then the value of n is:

A. 5
B. 8
C. 10
D. 12
Answer» D. 12
2206.

Q: If $$ {\sqrt{2x+9}+x=13}$$ then find the value of x?

A. -20
B. 80
C. 8
D. None of these
Answer» D. None of these
2207.

Q: If $$ {\sqrt{1+{473\over{256}}}=1+{x\over 16}}$$ then what does x equal to ?

A. 11
B. 12
C. 13
D. 14
Answer» B. 12
2208.

Q: If $$ \sqrt{0.04×0.4×a} =0.4×0.04×{\sqrt{b}}$$ then the value of $$ {a\over b}$$ is:

A. 0.016
B. 0.16
C. 1
D. 16
Answer» B. 0.16
2209.

Q: If sin3θ=cos(20° - θ) then find out  the value of θ.

A. 40°
B. 35°
C. 60°
D. 30°
Answer» C. 60°
2210.

Q: If sin2a = cos3a then the value of cot6 a – cot2a?

A. 1
B. 2
C. 0
D. -1
Answer» B. 2
2211.

Q: If $$ {sin\ θ\ cosec\  θ\over tan θ}=4 $$  then Find the value of tan θ ?

A. 4
B. $$ {1\over 4}$$
C. 3
D. 5
Answer» C. 3
2212.

Q: If sinθ – cosθ = 7/13 and 00 < θ < 900 , then the value of sinθ + cosθ is :

A. 17/13
B. 13/17
C. 2013-01-01 00:00:00
D. 2017-01-01 00:00:00
Answer» B. 13/17
2213.

Q: If sinθ + cosecθ = 2, then the value of $$ sin^9 θ +cosec^9θ $$ is –

A. 4
B. 0
C. 1
D. 2
Answer» E.
2214.

Q: If $$ sin(θ+30^0)= {3\over \sqrt { 12} }  $$ then find cos2θ :

A. $$ {1\over 4} $$
B. $$ {3\over 4} $$
C. $${\sqrt { 3} \ }\over 2 $$
D. $$ {1\over 2} $$
Answer» C. $${\sqrt { 3} \ }\over 2 $$
2215.

Q: If $$ {sin\ {θ}}={1\over {\sqrt{2}}}$$ then (tanθ+cosθ)=?

A. $${1\over{\sqrt{2}}}$$
B. $${2\over{\sqrt{2}}}$$
C. $${3\over{\sqrt{2}}}$$
D. $$ {(1+\sqrt{2})\over{\sqrt{2}}}$$
Answer» E.
2216.

Q: If $$ sin θ ={20 \over 29}$$, then what is the value of sec θ sin θ?

A. $$ {20 \over 21}$$
B. $$ {29 \over 20}$$
C. $$ {21 \over 20}$$
D. $$ {21 \over 29}$$
Answer» B. $$ {29 \over 20}$$
2217.

Q: If sinθ-cosθ= \({7\over13}\) and 0º

A. \({17\over13}\)
B. \({13\over17}\)
C. \({1\over13}\)
D. \({1\over17}\)
Answer» B. \({13\over17}\)
2218.

Q: If $$ {secθ+tanθ\over secθ - tanθ} $$= $$ 2{51\over 79} $$ sinθ then the value of sin θ is :

A. $$ {91\over144}$$
B. $$ {39\over72}$$
C. $$ {65\over144}$$
D. $$ {35\over72}$$
Answer» D. $$ {35\over72}$$
2219.

Q: If $$ secθ+tanθ=2+\sqrt{5}$$, then the value of $$ sinθ+cosθ$$ is:

A. $$ 3\over{\sqrt{5}}$$
B. $$ {\sqrt{5}}$$
C. $$ 7\over{\sqrt{5}}$$
D. $$ 1\over{\sqrt{5}}$$
Answer» B. $$ {\sqrt{5}}$$
2220.

Q: If $$ secθ-tanθ={1\over\sqrt{3}}$$, the value of secθ.tanθ=?

A. $$ {4\over\sqrt{3}}$$
B. $$ {2\over\sqrt{3}}$$
C. $$ {2\over3}$$
D. $$ {1\over\sqrt{3}}$$
Answer» D. $$ {1\over\sqrt{3}}$$
2221.

Q: If $$ sec θ ={13 \over 12}$$, and θ is acute, then what is the value of $$ \sqrt { cotθ+tanθ} \ $$ is......

A. $$ {4 \over 13}$$
B. $$ {12 \over 2\sqrt{13}}$$
C. $$ {13 \over 2\sqrt{15}}$$
D. $$ {2 \over 13}$$
Answer» C. $$ {13 \over 2\sqrt{15}}$$
2222.

Q: If sales of Suzuki in the year 2006 is increased by 5% and sales of Yamaha decreased by 5%, then what is the difference of averages of sales of Suzuki in year 2001 and 2006 and average sales of Yamaha in 2002 and 2006?

A. 1170
B. 2000
C. 2330
D. 2345
E. None of these
Answer» E. None of these
2223.

Q: If secθ – tanθ = 1/3 what is secθ + tanθ?

A. 1
B. 9
C. 3
D. 2021-09-01 00:00:00
Answer» D. 2021-09-01 00:00:00
2224.

Q: If Rs. 25,000 is to be divided between A, B and C in the ration 1/10 : 1/6: 1/15, then how much will C get (in Rs)?

A. 5000
B. 7500
C. 10000
D. 12500
Answer» B. 7500
2225.

Q: If Rs 1380 is divided into A, B and C in such a way that A gets 5 times B's share and 3 times C's share. Then what is the value of C parts?

A. Rs. 300
B. Rs.600
C. Rs.900
D. Rs.180
Answer» B. Rs.600
2226.

Q: If ratio of girls to total students in school E is 3 : 5. Then find difference of boys in school D to girls in school E?

A. 460
B. 420
C. None of these
D. 360
E. 320
Answer» F.
2227.

Q: If rate of interest is 2% more, the amount will exceed Rs. 60 for one year, find the principal?

A. 300
B. 3000
C. 6000
D. 4000
Answer» C. 6000
2228.

Q: If radius and height of a cylinder increase by 20% and15% respectively. then what is the % change in curved surface area?

A. 0.41
B. 0.38
C. 0.33
D. 0.44
Answer» C. 0.33
2229.

Q: If "basis points" are defined so that 1 percent is equal to 100 basis points, then by how many basis points is 82.5 percent greater than 62.5 percent.

A. 0.2
B. 200
C. 2000
D. 20
Answer» D. 20
2230.

Q: If price of the table is increased by 25%, then a person can buy 25 table less for Rs 25000. What is the original price (in Rs) of the table?

A. 225
B. 250
C. 200
D. 167
Answer» D. 167
2231.

Q: If pq+qr+rp=0 then find the value of $$ {p^{2}\over {p^{2}-qr}}+{q^{2}\over {q^{2}-rp}}+{r^{2}\over {r^{2}-pq}}$$

A. 0
B. 1
C. -1
D. 3
Answer» C. -1
2232.

Q: If P713 is divisible by 11, find the number P?

A. 5
B. 6
C. 7
D. 9
Answer» E.
2233.

Q: If $$ P={{x^2-36}\over{x^2-49}}$$ and $$ Q={{x+6}\over{x+7}}$$ then the value of $$ {P\over{Q}}$$ is.

A. $$ {x-6}\over {x-7}$$
B. $$ {x-6}\over {x+7}$$
C. $$ {x-7}\over {x+6}$$
D. $$ {x+6}\over {x-7}$$
Answer» B. $$ {x-6}\over {x+7}$$
2234.

Q: If $$p×q=p+q+{p\over q}$$, the value of 8 × 2  is :

A. 14
B. 16
C. 6
D. 10
Answer» B. 16
2235.

Q: If p men working p hours per day for p days produce p units of work, then the units of work produced by n men working n hours a day for n days is

A. $${p^2}\over {n^2} $$
B. $${p^3}\over {n^2} $$
C. $${n^2}\over {p^2} $$
D. $${n^3}\over {p^2} $$
Answer» E.
2236.

Q: If P is 15 years old now and Q will be 26 years old after 6 years, what is the ratio of their percentages?

A. 04:01:00
B. 03:04:00
C. 02:01:00
D. 02:03:00
Answer» C. 02:01:00
2237.

Q: If p=99, then the value of p(p2+3p+3) will be

A. 1000001
B. 999998
C. 999999
D. 1000000
Answer» D. 1000000
2238.

Q: If P= 22 + 62 + 102 +142 +……..942 and Q=12 + 52 + 92 +……..812, then what is the value of P- Q ?

A. 24645
B. 31515
C. 29317
D. 26075
Answer» E.
2239.

Q: If $$ {P={96\over95×97}},{Q={97\over96×98}}$$ and $$ {R={1\over97}}$$ then which of the following is True?

A. $$ {P}
B. $$ {R}
C. $$ {Q}
D. $$ {R}
Answer» C. $$ {Q}
2240.

Q: If one student walk from his house to school at 5 km/ph, he late by 30 minutes. However, if he walks at 6 km/ph, he is late by 5 minutes only. The distance of his school from his house is……

A. 2.5 km
B. 3.6 km
C. 5.5 km
D. 12.5 km
Answer» E.
2241.

Q: If one shirt is offered on the purchase of 4 shirts. Find the net discount.

A. 0.15
B. 0.2
C. 0.25
D. $$ 33{1\over3}\%$$
Answer» C. 0.25
2242.

Q: If one root of the equation $$ {Ax^2+Bx+C=0}$$ is two and a half times the others, then which of the following is True?

A. $$ {7B^2=3CA}$$
B. $$ {7B^2=4CA}$$
C. $$ {7B^2=36CA}$$
D. $$ {10B^2=49CA}$$
Answer» E.
2243.

Q: If one root of the equation Ax2+Bx+C = 0 is two and a half times the others, then which of the following is TRUE?

A. $$7B^2= 3 CA $$
B. $$7B^2 = 4 CA$$
C. $$7B^2 = 36 CA $$
D. $$10B^2 = 49 CA $$
Answer» E.
2244.

Q: If one of the interior angles of a regular polygon is equal to 5/6 times of one of the interior angles of a pentagon, then the no. of sides of the polygon.

A. 3
B. 4
C. 5
D. 6
Answer» C. 5
2245.

Q: If one of the equal angles of an isosceles triangle is 65°, then the angle at the vertex is

A. 40°
B. 70°
C. 50°
D. 60°
Answer» D. 60°
2246.

Q: If one number is 50 percent less than X and the other numbers are 20 percent less than X. What is the ratio of both the numbers?

A. 05:08:00
B. 02:03:00
C. 03:08:00
D. 03:05:00
Answer» B. 02:03:00
2247.

Q: If one angle is half of its complementary angle, find that angle.

A. 30°
B. 60°
C. 180°
D. 120°
Answer» C. 180°
2248.

Q: If number of boys in school A and school D together is 2/5 th of the total students in both schools then find difference of girls in school A and school D?

A. 820
B. 680
C. 520
D. Cannot be determined
E. None of these
Answer» E. None of these
2249.

Q: If N:38∷ 3:57, Find N.

A. 2021-03-02 00:00:00
B. 2021-03-01 00:00:00
C. 3
D. 2
Answer» E.
2250.

Q: If  $$n+{2\over 3}n+{1\over2}n+{1\over7}n=97$$ then the value of n is :

A. 44
B. 46
C. 40
D. 42
Answer» E.