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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.
| 2601. |
Q: G is the centroid of a triangle ABC, and the median is AD, the ratio of AD and GA is |
| A. | 01:03:00 |
| B. | 02:01:00 |
| C. | 03:02:00 |
| D. | 02:05:00 |
| Answer» D. 02:05:00 | |
| 2602. |
Q: G and H can do a work in 30 days. If H alone can do it in 50 days, then G alone can do it in__ days. |
| A. | 75 |
| B. | 70 |
| C. | 60 |
| D. | 64 |
| Answer» B. 70 | |
| 2603. |
Q: Study the following graph and answer the question that follow.From which institute is the difference between the appeared candidates and passed candidates maximum? |
| A. | B |
| B. | G |
| C. | D |
| D. | F |
| E. | None of these |
| Answer» E. None of these | |
| 2604. |
Q: From two points on the ground lying on a straight line through the foot of a pillar, the two angles of elevation of the top of the pillar are complementary to each other. If the distance of the two points from the foot of the pillar are 9 meters and 16 meters and the two points lie on the same side of the pillar. Then the height of the pillar is |
| A. | 5 m |
| B. | 10 m |
| C. | 9 m |
| D. | 12 m |
| Answer» E. | |
| 2605. |
Q: From the top of a lamp post of height x metres, two objects on the ground on the same side of it (and in line with the foot of the lamp post) are observed at angles of depression of 30° and 60°, respectively. The distance between the object is $$ {32{\sqrt{3}{\ meter}}}$$. The value of x is: |
| A. | 54 |
| B. | 36 |
| C. | 48 |
| D. | 45 |
| Answer» D. 45 | |
| 2606. |
Q: From the peak of a hill which is 300m high, the angle of depression of two sides of a bridge lying on a ground are 45° and 30° (both ends of the bridge are on the same side of the hill). Then the length of the bridge is |
| A. | 300√3 m |
| B. | $${300\over√3}m $$ |
| C. | 300(√3-1) m |
| D. | 300(√3+1) m |
| Answer» D. 300(√3+1) m | |
| 2607. |
Q: From each of the four corners of a rectangular sheet of dimensions 30 cm × 25 cm, a square of side 2 cm is cut off and a box is made. The volume of the box is |
| A. | $$ {1500 cm^3} $$ |
| B. | $$ {1288 cm^3} $$ |
| C. | $$ {1092 cm^3} $$ |
| D. | $$ {644 cm^3} $$ |
| Answer» D. $$ {644 cm^3} $$ | |
| 2608. |
Q: From a tower 125 metres high the angle of depression of two objects, which are horizontal line through the base of the tower are 45° and 30° and they are on the same side of the tower. The distance (in metres) between the objects is |
| A. | 125√3 |
| B. | 125(√3-1) |
| C. | 125/(√3-1) |
| D. | 125/(√3+1) |
| Answer» C. 125/(√3-1) | |
| 2609. |
Q: From an observation tower ‘h’ meter above the level of river, the angle of depression of a point on the near shore is A° and that of a point directly on the far shore is B°. Find the width of the river. |
| A. | h (Cot B +Cot A) |
| B. | h (tanB +tanA) |
| C. | h (tanA - tan B) |
| D. | h(cot B-cotA) |
| Answer» B. h (tanB +tanA) | |
| 2610. |
Q: From a solid cylinder whose height is 12 cm and diameter 10 cm a conical cavity of same height and same diameter of the base is hollowed out. The volume of the remaining solid is (cm3)approximately .Π=22/7 |
| A. | 942.86 |
| B. | 477.45 |
| C. | 628.57 |
| D. | 450.76 |
| Answer» D. 450.76 | |
| 2611. |
Q: From a right cone of height h and with base radius r a cone has been cut of from the centre of the height. The volume of remaining frustum of the cone is. |
| A. | $$ {1\over3}π{r^{2}}h$$ |
| B. | $$ {1\over24}π{r^{2}}h$$ |
| C. | $$ {7\over24}π{r^{2}}h$$ |
| D. | $$ {1\over8}π{r^{2}}h$$ |
| Answer» D. $$ {1\over8}π{r^{2}}h$$ | |
| 2612. |
Q: From a point P on a level ground, the angle of elevation of the top tower is 30o.If the tower is 100 m high, the distance of point P from the foot of the tower is: |
| A. | 149 m |
| B. | 156 m |
| C. | 173 m |
| D. | 200 m |
| Answer» D. 200 m | |
| 2613. |
Q: From a point P on a level ground, the angle of elevation of the top tower is 30°. If the tower is 100 meter high, the distance of point P from the foot of the tower is: |
| A. | 149 meter |
| B. | 156 meter |
| C. | 173 meter |
| D. | 200 meter |
| Answer» D. 200 meter | |
| 2614. |
Q: From a point P on the ground the angle of elevation of the top of a 10m tall building is 30°. A flag is hoisted at the top of the building and the angle of elevation of the top of the flagstaff from P is 450. Find the length of the flagstaff (Take √3 = 1.732) |
| A. | 10 √3 m |
| B. | 7.32 m |
| C. | 10 (√30+2) m |
| D. | 10 (√30+1) m |
| Answer» C. 10 (√30+2) m | |
| 2615. |
Q: From a point 20 m away from the foot of a tower, the angle of elevation of the top of the tower is 30°. The height of the tower is |
| A. | 10 √ 3 m |
| B. | 20 √ 3 m |
| C. | $$ {10\over √3} m $$ |
| D. | $$ {20\over √3} m $$ |
| Answer» E. | |
| 2616. |
Q: From a point 12 meter above the water level, the angle of elevation of the top of a hill is 60° and the angle of depression of the base of the hill 30°. What is the height ( in meter) of the hill? |
| A. | $$ {48\sqrt{3}}$$ |
| B. | 36 |
| C. | $$ {36\sqrt{3}}$ |
| D. | 48 |
| Answer» E. | |
| 2617. |
Q: From a pack of 52 cards, two cards are drawn together at random. What is the probability of both the cards being kings? |
| A. | $$ 1\over15$$ |
| B. | $$ 25\over57$$ |
| C. | $$ 35\over256$$ |
| D. | $$ 1\over221$$ |
| E. | None of these |
| Answer» E. None of these | |
| 2618. |
Q: From a circle of radius a, a sector, which subtend an angle π/5 at the centre has been cut off. The perimeter of the remaining part of the circle is |
| A. | 2πa |
| B. | $$ {π\over 5}{a}$$ |
| C. | $$ {7π\over 5}{a}$$ |
| D. | $$ {9π\over 5}{a}$$ |
| Answer» E. | |
| 2619. |
Q: From 2008 to 2009, the sales of a book decreased by 80%. If the sales in 2010 were the same as in 2008, by what percent did it increase from 2009 to 2010? |
| A. | 1.2 |
| B. | 4 |
| C. | 0.8 |
| D. | 1 |
| Answer» C. 0.8 | |
| 2620. |
Q: From 1997 to 1998 in the case of which of the following types of employees the change was maximum ? |
| A. | C |
| B. | D |
| C. | B |
| D. | A |
| Answer» D. A | |
| 2621. |
Q: Fraction between 2/5 and 4/9 is: |
| A. | 2021-07-03 00:00:00 |
| B. | 2021-03-02 00:00:00 |
| C. | 2021-05-04 00:00:00 |
| D. | 2021-02-01 00:00:00 |
| Answer» B. 2021-03-02 00:00:00 | |
| 2622. |
Q: Four years ago, the ratio of the age of A and B was 2 : 3 and after four years it will become 5 : 7. Find the present age. |
| A. | 36 years and 40 years |
| B. | 32 years and 48 years |
| C. | 40 years and 56 years |
| D. | 36 years and 52 years |
| Answer» E. | |
| 2623. |
Q: Four years ago, the respective ratio between the age of Ram and that of Sonu, was 4 : 9. Tina is ten years older than Ram. Tina is ten years younger than Sonu. What is Tina's present age? |
| A. | 40 years |
| B. | 36 years |
| C. | 30 years |
| D. | 20 years |
| E. | 42 years |
| Answer» D. 20 years | |
| 2624. |
Q: Four years ago, the age ratio of A and B was 2: 3 and after four years this ratio will be 5: 7. What is his present age? |
| A. | 32 year and 48 year |
| B. | 40 year and 56 year |
| C. | 36 year and 40 year |
| D. | 36 year and 52 year |
| Answer» E. | |
| 2625. |
Q: Four runners started running simultaneously from a point on a circular track. They took 200 seconds, 300 seconds, 360 seconds and 450 seconds to complete one round. After how much time do they meet at the starting point for the first time? |
| A. | 3600 sec. |
| B. | 2400 sec. |
| C. | 1800 sec. |
| D. | 4800 sec. |
| Answer» D. 4800 sec. | |
| 2626. |
Q: Four pipes P, Q, R and S can fill a cistern in 25, 20, 50 and 40 hours respectively. The pipe Q was opened at 7 pm, P at 9 pm, S at 10 pm and R at 11 pm. When will the cistern be full? |
| A. | 03:29:00 |
| B. | 02:47:00 |
| C. | 04:09:00 |
| D. | 05:02:00 |
| Answer» D. 05:02:00 | |
| 2627. |
Q: Four numbers, when arranged in ascending order, are w, x, y and z. The average of the smallest three numbers is 25.5 while the average of the largest three was 29.5. What is the range of the data? |
| A. | 10 |
| B. | 15 |
| C. | 12 |
| D. | 14 |
| Answer» D. 14 | |
| 2628. |
Q: Four numbers are in the ratio 1 : 2 : 3 : 4 . Their sum is 16. The sum of the first and fourth number is equal to: |
| A. | 5 |
| B. | 8 |
| C. | 10 |
| D. | 80 |
| Answer» C. 10 | |
| 2629. |
Q: Four coins whose diameter is 12.6 cm are placed in such a way that one coin touches the other coin, find the area between them. |
| A. | 34.02 sq.cm |
| B. | 28.30 sq.cm |
| C. | 50.05 sq.cm |
| D. | 25.05 sq.cm |
| Answer» B. 28.30 sq.cm | |
| 2630. |
Q: Four bells ring at the intervals of 5, 6, 8 and 9 seconds. All the bells ring simultaneously at some time. They will again ring simultaneously after: |
| A. | 6 minutes |
| B. | 12 minutes |
| C. | 18 minutes |
| D. | 24 minutes |
| Answer» B. 12 minutes | |
| 2631. |
Q: Four bells ring at the intervals of 5, 6, 8, and 9 seconds. All the bells ring simultaneously at the same time. They will again ring simultaneously after: |
| A. | 12 minutes |
| B. | 18 minutes |
| C. | 6 minutes |
| D. | 24 minutes |
| Answer» D. 24 minutes | |
| 2632. |
Q: For which models was the percentage variation in production from 2007 to 2008 the maximum? |
| A. | B and C |
| B. | C and D |
| C. | D and E |
| D. | A and B |
| Answer» E. | |
| 2633. |
Q: For what value of ‘y’, $$ {x^{2}+{1\over12}{x}+y^{2}}$$ is perfect square? |
| A. | 2021-03-01 00:00:00 |
| B. | 2021-12-01 00:00:00 |
| C. | 2024-01-01 00:00:00 |
| D. | 2021-06-01 00:00:00 |
| Answer» D. 2021-06-01 00:00:00 | |
| 2634. |
Q: For what value of k, the system of equations kx + 2y = 2 and 3x + y = 1 will be coincident? |
| A. | 5 |
| B. | 6 |
| C. | 2 |
| D. | 3 |
| Answer» C. 2 | |
| 2635. |
Q: For what value of 'm ' the points A ( m + 1 , 1 ) , B ( 2m + 1,3 ) and C ( 2m + 2 , 2m ) are collinear . |
| A. | 2 |
| B. | 1 |
| C. | 3 |
| D. | -2 |
| Answer» E. | |
| 2636. |
Q: For salaried parsons, standard deduction for Income tax is being raised from current Rs 40000 to Rs 50000. By how much percent standard deduction is increased ? |
| A. | 0.32 |
| B. | 0.4 |
| C. | 0.25 |
| D. | 0.15 |
| Answer» D. 0.15 | |
| 2637. |
Q: For each 200 rupees spent by the research department, sales departments spend 20 rupees. For every 400 rupees spent by the sales department, the advertising department spends 150 rupees. The triple ratio of the money spent by the research department to the money spent by the sales department to the money spent by the advertising department can be expressed as: |
| A. | 1900-01-01 16:08:03 |
| B. | 1900-01-03 08:08:03 |
| C. | 20:04:00.100000 |
| D. | 02:01:05 |
| Answer» C. 20:04:00.100000 | |
| 2638. |
Q: For an edition of 12,500 copies, the amount of Royalty paid by the publisher is Rs. 2,18,250. What should be the selling price of the book if the publisher desires a profit of 5%? |
| A. | Rs. 152.50 |
| B. | Rs. 157.50 |
| C. | Rs. 162.50 |
| D. | Rs. 167.50 |
| Answer» C. Rs. 162.50 | |
| 2639. |
Q: Five years ago, what was the ratio between the age of Sonu and Monu? I. Ratio between present age of Sonu and Monu is 3: 2.II. Ratio between present age of Sonu and Ramu is 4 : 3. |
| A. | A |
| B. | B |
| C. | C |
| D. | D |
| E. | E |
| Answer» E. E | |
| 2640. |
Q: Five years ago, the average age of 4 girls was 7 years. On joining a new girl, the present average age becomes 13 years. The current age of the new girl is: |
| A. | 17 Year |
| B. | 16 year |
| C. | 19 Year |
| D. | 15 Year |
| Answer» B. 16 year | |
| 2641. |
Q: Five women can do a work in thirty six days. If the ratio between the capacity of a man and a woman is 3:1, then find how many days it will take 5 men to complete the same work? |
| A. | 12 days |
| B. | 15 days |
| C. | 18 days |
| D. | 108 days |
| Answer» B. 15 days | |
| 2642. |
Q: Find the value tanθ-cosθ in the given figure. |
| A. | $${4\over5}$$ |
| B. | $$-{4\over9}$$ |
| C. | $$-{1\over20}$$ |
| D. | $${3\over20}$$ |
| Answer» D. $${3\over20}$$ | |
| 2643. |
Q: Find the value of x in the given figure. |
| A. | 40° |
| B. | 50° |
| C. | 55° |
| D. | 90° |
| Answer» C. 55° | |
| 2644. |
Q: Find the value of $$ {\sqrt{(cos^{2}20°+cos^{2}70°)}}$$ |
| A. | 0 |
| B. | $$ {2\over{\sqrt{3}}}$$ |
| C. | 1 |
| D. | $$ {\sqrt{3}\over2}$$ |
| Answer» D. $$ {\sqrt{3}\over2}$$ | |
| 2645. |
Q: Find the value of $$ {\sqrt{4+\sqrt{44+\sqrt{10000}}}}$$. |
| A. | 8 |
| B. | 2 |
| C. | 4 |
| D. | 6 |
| Answer» D. 6 | |
| 2646. |
Q: Find the value of $$ \sqrt{20+\sqrt{29-\sqrt{12+\sqrt{19-\sqrt{9}}}}}$$. |
| A. | 4 |
| B. | 3 |
| C. | 5 |
| D. | 1 |
| Answer» D. 1 | |
| 2647. |
Q: Find the value of sin2 10 + sin2 20 + sin2 30 + ....... + sin2 80. |
| A. | 3 |
| B. | 4 |
| C. | 0 |
| D. | 1 |
| Answer» C. 0 | |
| 2648. |
Q: Find the value of n when $$ {n=\sqrt{n+ 2 \sqrt{n+2\sqrt{n+2\sqrt{3n}}}}}$$ |
| A. | 1 |
| B. | 3 |
| C. | 9 |
| D. | 12 |
| Answer» C. 9 | |
| 2649. |
Q: Find the value of $$\left({1\over {sin 60°}} \right)^{2} + (cos 30°)^{2} \over(tan 45°)^{2}$$. |
| A. | $$ {25\over 9}$$ |
| B. | $$ {25\over 12}$$ |
| C. | $$ {25\over 4}$$ |
| D. | $$ {5\over 9}$$ |
| Answer» C. $$ {25\over 4}$$ | |
| 2650. |
Q: Find the value of $$\left({sin 35°\over cos55°} \right)^2+\left({cos55°\over sin 35°} \right)^2 \ -2 sin^{3}30°$$ |
| A. | $${7\over5}$$ |
| B. | $${7\over4}$$ |
| C. | 0 |
| D. | $${5\over7}$$ |
| Answer» C. 0 | |