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MCQOPTIONS
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.
| 2301. |
Q: If α and β are the roots of equation $$ {x^2-2x+4=0}$$, then what is the equation whose roots are ${α^3}\over{β^2}$$ and $${β^3}\over{α^2}$$. |
| A. | $$ {x^2-4x+8=0}$$ |
| B. | $$ {x^2-32x+4=0}$$ |
| C. | $$ {x^2-2x+4=0}$$ |
| D. | $$ {x^2-16x+4=0}$$ |
| Answer» D. $$ {x^2-16x+4=0}$$ | |
| 2302. |
Q: If α and β are the roots of equation x2 - 2x + 4 - 0, then what is the equation whose roots are α3/β2 and β3/α2? |
| A. | $$x^2 - 4x + 8 = 0 $$ |
| B. | $$x^2 - 32x + 4 = 0 $$ |
| C. | $$x^2 - 2x + 4 = 0 $$ |
| D. | $$x^2 - 16x + 4 = 0 $$ |
| Answer» D. $$x^2 - 16x + 4 = 0 $$ | |
| 2303. |
Q: If all three pipes are opened for 2 minutes to fill the tank each alternatively in the sequence of A then C and then B. Calculate water filled by pipes A is what % of water filled by pipe C? |
| A. | 0.725 |
| B. | 0.75 |
| C. | 0.775 |
| D. | 0.8 |
| E. | 0.825 |
| Answer» C. 0.775 | |
| 2304. |
Q: If age of P and Q is decreased by 50% and age of A and B is increased by 20%, what will be the ratio of ages of P, Q, R, S and T together to the ages of A, B, C, D and E together? |
| A. | 199: 133 |
| B. | 133: 199 |
| C. | 1900-01-02 03:50:00 |
| D. | 1900-01-02 02:51:00 |
| E. | None of these |
| Answer» C. 1900-01-02 03:50:00 | |
| 2305. |
Q: If AD, BE and CF are medians of ∆ABC, then which one of the following statements is correct? |
| A. | AD + BE + CF = AB + BC + CA |
| B. | AD + BE + CF = √2 ( AB + BC + CA ) |
| C. | ( AD + BE + CF ) < AB + BC + CA |
| D. | AD + BE + CF > AB + BC + CA |
| Answer» D. AD + BE + CF > AB + BC + CA | |
| 2306. |
Q: If $$ {Acos^{2}θ+Bsin^{2}θ}={sin^{2}θ(sec^{2}θ+1)\over{sec^{2}θ-1}}$$ and cotθ=? |
| A. | $${\sqrt{B-2\over2-A}}$$ |
| B. | $${\sqrt{B-1\over2-A}}$$ |
| C. | $${\sqrt{B-1\over A-2}}$$ |
| D. | $${\sqrt{2-B\over 2-A}}$$ |
| Answer» C. $${\sqrt{B-1\over A-2}}$$ | |
| 2307. |
Q: If ABCDEF is a regular hexagon, then what is the value (in degrees) of ∠ADB? |
| A. | 15 |
| B. | 30 |
| C. | 45 |
| D. | 60 |
| Answer» C. 45 | |
| 2308. |
Q: If ∆ABC is an isosceles triangle with ∠C = 90° and AC = 5 cm then AB is : |
| A. | 5√2 cm |
| B. | 2.5 cm |
| C. | 5 cm |
| D. | 10 cm |
| Answer» B. 2.5 cm | |
| 2309. |
Q: if a3b = abc = 180, a, b, c are positive integers, then the value of c is |
| A. | 4 |
| B. | 25 |
| C. | 110 |
| D. | 1 |
| Answer» E. | |
| 2310. |
Q: If ABC is an equilateral triangle and P, Q, R respectively denote the middle points of AB, BC, CA, then |
| A. | PQ + QR = PQR + AB |
| B. | PQ + QR = PR + 2AB |
| C. | PQR must be a right angled |
| D. | PQR must be an equilateral triangle |
| Answer» E. | |
| 2311. |
Q: If a2+b2+c2 = 2(a – b – c) – 3 then the value of 4a – 3b + 5c is |
| A. | 2 |
| B. | 3 |
| C. | 5 |
| D. | 6 |
| Answer» B. 3 | |
| 2312. |
Q: If a2x+2=1, where a is a positive real number other than 1, then x is equal to |
| A. | 0 |
| B. | 1 |
| C. | – 2 |
| D. | – 1 |
| Answer» E. | |
| 2313. |
Q: If a2 + b2 + 64c2 + 16c + 3 = 2(a +b), then the value of 4a7 + b7 + 8c2 is : |
| A. | $$ {4{1\over 8}}$$ |
| B. | $$ {5{1\over 8}}$$ |
| C. | $$ {4{7\over 8}}$$ |
| D. | $$ {3{1\over 8}}$$ |
| Answer» C. $$ {4{7\over 8}}$$ | |
| 2314. |
Q: If a2=b+c, b2=c+a and c2=a+b then the value of $$ {1\over{1+a}}+{1\over{1+b}}+{1\over{1+c}}$$ is |
| A. | abc |
| B. | 1 |
| C. | 0 |
| D. | 2 |
| Answer» C. 0 | |
| 2315. |
Q: If a2 + a + 1 = 0 then the value of a9 is. |
| A. | 0 |
| B. | 1 |
| C. | 2 |
| D. | 3 |
| Answer» C. 2 | |
| 2316. |
Q: If a=x+y, b=x-y, c=x+2y, then $$ {a^2+b^2+c^2}-ab-bc-ca $$ is |
| A. | $${4y^2}$$ |
| B. | $${5y^2}$$ |
| C. | $${6y^2}$$ |
| D. | $${7y^2}$$ |
| Answer» E. | |
| 2317. |
Q: If a wire is bent into the shape of a square, the area of the square is 81 sq. cm. When the wire is bent into a semicircular shape, the area of the semicircle is |
| A. | 66 |
| B. | 88 |
| C. | 67 |
| D. | 77 |
| Answer» D. 77 | |
| 2318. |
Q: If a vendor sells apples at Rs 170 per kg he suffers 15 % loss. If he sells at Rs 230 per kg, then what is his profit percentage? |
| A. | 5 |
| B. | 20 |
| C. | 15 |
| D. | 10 |
| Answer» D. 10 | |
| 2319. |
Q: If a(tanθ+cotθ)=1, sinθ+cosθ=b and 0° |
| A. | $$ {2a={b^2}}+1$$ |
| B. | $$ {b^2=2({a-1}})$$ |
| C. | $$ {2a={b^2-1}}$$ |
| D. | $$ {b^2=2({a+1}})$$ |
| Answer» D. $$ {b^2=2({a+1}})$$ | |
| 2320. |
Q: If a=tanθ + 1 and b=sinθ+cosθ then find (b2-1)a=? |
| A. | ab |
| B. | 2bsecθ |
| C. | 2b |
| D. | 2bsin θ |
| Answer» E. | |
| 2321. |
Q: If a trader finds out that his profit is equal to 20 percent of the selling price, then his actual profit is. |
| A. | 0.2 |
| B. | 0.22 |
| C. | 0.25 |
| D. | 0.3 |
| Answer» D. 0.3 | |
| 2322. |
Q: If a sum of money becomes 8 times in 9 years at compound interest annually, in how much time it will become 32 times? |
| A. | 15 year |
| B. | 20 year |
| C. | 25 year |
| D. | None of these |
| Answer» E. | |
| 2323. |
Q: If $$ a={{\sqrt{3}+\sqrt{2}}\over {\sqrt{3}-\sqrt{2}}}$$ and $$ b={{\sqrt{3}-\sqrt{2}}\over {\sqrt{3}+\sqrt{2}}}$$, then find the value of $$ {a^2\over b}+{b^2\over a}=?$$ |
| A. | 970 |
| B. | 960 |
| C. | 950 |
| D. | 940 |
| Answer» B. 960 | |
| 2324. |
Q: If a side of a square is a, then what will be the area of the square on its diagonal? |
| A. | $$ {\sqrt{2}a^{2}}$$ |
| B. | $$ {{2}a^{2}}$$ |
| C. | $$ {{5}a^{2}}$$ |
| D. | $$ {a^{2}}$$ |
| Answer» C. $$ {{5}a^{2}}$$ | |
| 2325. |
Q: If a shopkeeper bought 70 kg of potatoes for Rs 420 and sold the entire purchase at the rate of 6.50 per kg, what was his profit percentage? |
| A. | $$ {8{1\over 3}\%}$$ |
| B. | $$ {5{1\over 3}\%}$$ |
| C. | $$ {8{2\over 3}\%}$$ |
| D. | $$ {4{1\over 3}\%}$$ |
| Answer» B. $$ {5{1\over 3}\%}$$ | |
| 2326. |
Q: If a sailer sails 12 km distance within 5 hours against the flow of a river. If he sails 22 km distance in same time along the flow of the river. Then velocity of the river is _______ |
| A. | 1 km / hour |
| B. | 2 km / hour |
| C. | 1.5 km / hour |
| D. | 2.5 km / hour |
| Answer» B. 2 km / hour | |
| 2327. |
Q: If a seller bought an item for Rs. 900 and determined the mark price in such a way that after giving 10 percent discount, he would get a profit of 20 percent, what would be the mark price? |
| A. | Rs. 1180 |
| B. | Rs.1080 |
| C. | Rs. 1200 |
| D. | Rs. 1100 |
| Answer» D. Rs. 1100 | |
| 2328. |
Q: If A’s income is 40 % less than that of B, how much percent B's income is more than that of A? |
| A. | 0.6 |
| B. | 0.4 |
| C. | 0.6666 |
| D. | 0.3333 |
| Answer» D. 0.3333 | |
| 2329. |
Q: If a regular polygon has 5 sides then the measure of its interior angle is greater than the measure of its exterior angle by how many degrees? |
| A. | 60° |
| B. | 36° |
| C. | 90° |
| D. | 100° |
| Answer» C. 90° | |
| 2330. |
Q: If A purchased 109 cars for Rs.2,64,89,071. How much does 1 car cost? |
| A. | Rs.2,43,109 |
| B. | Rs.2,39,140 |
| C. | Rs.2,43,019 |
| D. | Rs.2,43,190 |
| Answer» D. Rs.2,43,190 | |
| 2331. |
Q: If a person purchases a shirt, he gets 6 % discount. However, if he purchases two shirts, he gets 5 % on the first and 8 % on the second. If the price paid by the person for two shirts is ₹ 925, then what will be the marked price of each shirt? |
| A. | 494 |
| B. | 550 |
| C. | 528 |
| D. | 500 |
| Answer» B. 550 | |
| 2332. |
Q: If $$ {A\over2}={B\over 3}={C\over 4}$$ then what is the value of $$ {A+B+C}\over C |
| A. | $$ {9\over2}$$ |
| B. | 3 |
| C. | $$ {4\over9}$$ |
| D. | $$ {9\over4}$$ |
| Answer» E. | |
| 2333. |
Q: If a number multiplied by 25 % of itself gives a number which is 200% more than the number, then 25% of the number is - |
| A. | 6 |
| B. | 5 |
| C. | 4 |
| D. | 3 |
| Answer» E. | |
| 2334. |
Q: If $$ {a\over x}+{b\over y}=m$$ and $$ {b\over x}+{a\over y}=n$$ then x:y will be__ |
| A. | (na+mb) : (ma+nb) |
| B. | (na + mb) : (ma-nb) |
| C. | (na-mb) : (ma-nb) |
| D. | (na-mb) : (ma+nb) |
| Answer» D. (na-mb) : (ma+nb) | |
| 2335. |
Q: If a nine Digit number 785x3678y is divisible by 72, then the value of (7x- 5y) is: |
| A. | 22 |
| B. | 20 |
| C. | 18 |
| D. | 16 |
| Answer» B. 20 | |
| 2336. |
Q: If a number is increased by 30 % and after that it is decreased by 25 % and again it is increased by 25 % then find average change in percentage? (approx.) |
| A. | 0.22 |
| B. | 0.19 |
| C. | 0.1 |
| D. | 0.32 |
| Answer» B. 0.19 | |
| 2337. |
Q: If a ≠ b, then which of the following statement is true ? |
| A. | $${a+b\over 2}= \sqrt{ab} $$ |
| B. | $${a+b\over 2}> \sqrt{ab} $$ |
| C. | $${a+b\over 2}< \sqrt{ab} $$ |
| D. | All of the above |
| Answer» C. $${a+b\over 2}< \sqrt{ab} $$ | |
| 2338. |
Q: If a merchant offers a discount of 40% on the marked price of his goods and thus ends up selling at cost price, what was the % mark up? (Answer in Percent) |
| A. | 66.66 |
| B. | 58.33 |
| C. | 28.57 |
| D. | 40 |
| Answer» B. 58.33 | |
| 2339. |
Q: If a manufacturer gains 10 percent, wholesaler 15 percent and retailer 25 percent, then the production cost of an article, whose retail price is Rs. 1,265, is |
| A. | Rs. 800 |
| B. | Rs. 900 |
| C. | Rs. 700 |
| D. | Rs. 750 |
| Answer» B. Rs. 900 | |
| 2340. |
Q: If a man were to sell his chair for Rs. 720, he would loss 25 %. To gain 25% he should sell it for__ |
| A. | Rs. 1,200 |
| B. | Rs. 1,000 |
| C. | Rs. 960 |
| D. | Rs. 900 |
| Answer» B. Rs. 1,000 | |
| 2341. |
Q: If a man running at 15 km/ph crosses a bridge in 5 min., then length of the bridge is…… |
| A. | 1333.33 mt |
| B. | 1000 mt |
| C. | 7500 mt |
| D. | 1250 mt |
| Answer» E. | |
| 2342. |
Q: If a man purchase 11 articles for Rs.10 and sold all the articles at the rate of 10 for Rs.11, the profit percentage will be. |
| A. | 0.1 |
| B. | 0.11 |
| C. | 0.21 |
| D. | 1 |
| Answer» D. 1 | |
| 2343. |
Q: If a machine consumes k/5 kilowatts of power every t hours, how much power in kilowatts, will three such machines consume in 10 hours? |
| A. | k/t |
| B. | 6k/t |
| C. | 6t/k |
| D. | t/k |
| Answer» D. t/k | |
| 2344. |
Q: If a linear equation is of the form x = k, where k is a constant, then graph of the equation will be |
| A. | a line making positive acute angle with x - axis |
| B. | a line parallel to y - axis |
| C. | a line parallel to x - axis |
| D. | a line cutting both the axes |
| Answer» C. a line parallel to x - axis | |
| 2345. |
Q: If a line has one end (4,0) and the middle point (4,1), what will be the directions at the other end of the line? |
| A. | 2, 4 |
| B. | 4, 2 |
| C. | 1, 3 |
| D. | 2, 3 |
| Answer» C. 1, 3 | |
| 2346. |
Q: If A exceeds B by 40%, B is less than C by 20% , then A:C is |
| A. | 03:01:00 |
| B. | 03:02:00 |
| C. | 1900-01-01 02:25:00 |
| D. | 1900-01-01 04:25:00 |
| Answer» E. | |
| 2347. |
Q: If A earns $$ {33{1\over 3} \%}$$ more than B, how much percent does B earn less than A? |
| A. | 0.2 |
| B. | 0.125 |
| C. | 0.25 |
| D. | 0.375 |
| Answer» D. 0.375 | |
| 2348. |
Q: If a discount of 10% is allowed on the marked price of an article, a shopkeeper gets a profit of 25 %. If he offers a discount of 25% on the marked price of the same article, then his percentage profit/loss will be: |
| A. | 4 % profit |
| B. | $$ {4 {1\over 6}}{ \%}$$ loss |
| C. | $$ {4 {1\over 6}}{ \%}$$ profit |
| D. | 4 % loss |
| Answer» D. 4 % loss | |
| 2349. |
Q: If a cuboid of dimensions 64cm×16cm×8cm is melted and recast into two equal cubes of same size. Then what will be the ratio of the surface are of cuboid to the total surface area of the two cubes? |
| A. | 17:19:00 |
| B. | 16:19:00 |
| C. | 16:17:00 |
| D. | 17:16:00 |
| Answer» E. | |
| 2350. |
Q: If a clock strikes 12 in 33 seconds, it will strike 6 in how many seconds? |
| A. | 12 |
| B. | 22 |
| C. | $${33\over 2} $$ |
| D. | 15 |
| Answer» E. | |