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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.
| 951. |
Q: The line passing through the point (-2,5) and (6,b) is perpendicular to the line 20x + 5y = 3. Find b? |
| A. | 7 |
| B. | 4 |
| C. | -7 |
| D. | -4 |
| Answer» B. 4 | |
| 952. |
Q: The lengths of the parallel sides of a trapezium are 51 cm and 21 cm, and that of each of the other two sides is 39 cm. what is the area ( in cm2) of the trapezium? |
| A. | 1206 |
| B. | 1152 |
| C. | 1260 |
| D. | 1296 |
| Answer» E. | |
| 953. |
Q: The lengths of the lengths placed on the sides of a point inside an equilateral triangle are 6 cm, 8 cm and 10 cm. What is the area of the triangle? |
| A. | $$ {48\ cm^{2}}$$ |
| B. | $$ {16\sqrt{3}}\ cm^{2}$$ |
| C. | $$ {192\sqrt{3}}\ cm^{2}$$ |
| D. | $$ {192 \ cm^{2}}$$ |
| Answer» D. $$ {192 \ cm^{2}}$$ | |
| 954. |
Q: The length, width and height of a room are 10 meters, 8 meters and 6 meters respectively. What will be the largest bamboo length that can be kept in this room? |
| A. | 10 meter |
| B. | 20 meter |
| C. | 24 meter |
| D. | $$ {10\sqrt{2}}$$ meter |
| Answer» E. | |
| 955. |
Q: The lengths of one side of a rhombus and one of the two diagonals are 6 cm each. Find the area of the rhombus (in cm2). |
| A. | 27√3 |
| B. | 18 |
| C. | 9√3 |
| D. | 18√3 |
| Answer» E. | |
| 956. |
Q: The length, width and height of a rectangular tank are 7 meters, 6 meters and 5 meters respectively, what will be the volume (cubic metre) of this tank? |
| A. | 100 |
| B. | 102 |
| C. | 210 |
| D. | 420 |
| Answer» D. 420 | |
| 957. |
Q: The length, width and height of a cuboid are 18 cm, 24 cm, and 4 cm, respectively. The volume of the cube is equal to the volume of the given cuboid. The arm of the cube is: |
| A. | 16 cm |
| B. | 12 cm |
| C. | 9 cm |
| D. | 8 cm |
| Answer» C. 9 cm | |
| 958. |
Q: The length of the shadow of a vertical tower on level ground increases by 10 meters when the altitude of the sun changes from 45° to 30°. Then the height of the tower is |
| A. | 5 ( √3 + 1 ) meters |
| B. | 5 ( √3 - 1 ) meters |
| C. | 5√3 meters |
| D. | $$ {5\over √3} meters $$ |
| Answer» B. 5 ( √3 - 1 ) meters | |
| 959. |
Q: The length of two chords AB and AC of a circle are 8 cm and 6 cm and ∠BAC=90º, then the radius of circle is |
| A. | 25 cm |
| B. | 20 cm |
| C. | 4 cm |
| D. | 5 cm |
| Answer» E. | |
| 960. |
Q: The length of the intercept of the graph of the equation 9x – 12y = 108 between the two axes is |
| A. | 15 units |
| B. | 9 units |
| C. | 12 units |
| D. | 18 units |
| Answer» B. 9 units | |
| 961. |
Q: The length of the portion of the straight line 3x + 4y = 12 intercepted between the axes is : |
| A. | 4 |
| B. | 7 |
| C. | 5 |
| D. | 3 |
| Answer» D. 3 | |
| 962. |
Q: The length of the diagonal of a square is 'a' cm. Which of the following represents the area of the square (in sq. cm)? |
| A. | 2a |
| B. | a\√2 |
| C. | $$a^2\2$$ |
| D. | $$a2\4$$ |
| Answer» D. $$a2\4$$ | |
| 963. |
Q: The length of the common chord of two intersecting circles is 24 cm. If the diameter of the circles are 30 cm and 26 cm, then the distance between the center (in cm) is |
| A. | 15 |
| B. | 16 |
| C. | 13 |
| D. | 14 |
| Answer» E. | |
| 964. |
Q: The length of the diagonal and the breadth of a rectangle is 13 cm and 5 cm respectively. Calculate its area (in cm²). |
| A. | 60 |
| B. | 120 |
| C. | 37 |
| D. | 74 |
| Answer» B. 120 | |
| 965. |
Q: The length of the common chord of two circles of radii 30 cm and 40 cm whose centers are 50 cm apart is (in cm) |
| A. | 36 |
| B. | 48 |
| C. | 12 |
| D. | 24 |
| Answer» C. 12 | |
| 966. |
Q: The length of the chord of a circle is 8 cm and perpendicular distance between center and the chord is 3 cm. Then the radius of the circle is equal to: |
| A. | 4 cm |
| B. | 5 cm |
| C. | 6 cm |
| D. | 8 cm |
| Answer» C. 6 cm | |
| 967. |
Q: The length of diagonal BD of a parallelogram ABCD is 36 cm. P and Q are the centroids of triangle ABC and triangle ADC respectively. What is the length (in cm) of PQ? |
| A. | 26 |
| B. | 39 |
| C. | 13 |
| D. | 52 |
| Answer» C. 13 | |
| 968. |
Q: The length of one side of a rhombus is 6.5 cm and its altitude is 10 cm. If the length of its diagonal be 26 cm, the length of the other diagonal will be : |
| A. | 5 cm |
| B. | 10 cm |
| C. | 6.5 cm |
| D. | 26 cm |
| Answer» B. 10 cm | |
| 969. |
Q: The length of a rectangle, which is 25 cm is equal to the length of a square and the area of the rectangle is 125 square cm less than the area of the square. What is the breadth of the rectangle? |
| A. | 15 cm |
| B. | 20 cm |
| C. | 12 cm |
| D. | 14 cm |
| Answer» C. 12 cm | |
| 970. |
Q: The length of a rectangle is 6 cm more than its width and its perimeter is 100 cm. If the area of this rectangle is closest to the area of a circle, then what is the circumference of that circle? |
| A. | 110 cm |
| B. | 132 cm |
| C. | 66 cm |
| D. | 88 cm |
| Answer» E. | |
| 971. |
Q: The length of a rectangle is increased by 60% then by how much % should the breadth be reduced so that its area does not change? |
| A. | 0.275 |
| B. | 0.375 |
| C. | 0.25 |
| D. | 0.6 |
| Answer» C. 0.25 | |
| 972. |
Q: The length of a hollow thick cylindrical metallic pipe is 6 cm and its total surface area including the surface at the ends is 98π sq. cm. If the outer diameter is 8 cm, then the inner diameter in cm is |
| A. | 6.5 |
| B. | 7 |
| C. | 5 |
| D. | 6 |
| Answer» E. | |
| 973. |
Q: The length of a chord which is at a distance of 12 cm from the center of a circle of radius 13 cm is |
| A. | 6 cm |
| B. | 12 cm |
| C. | 10 cm |
| D. | 5 cm |
| Answer» D. 5 cm | |
| 974. |
Q: The length, breadth and height of a room are in the ratio 7:3:1. If the breadth and height are doubled while the length is halved, then by what percent the total area of the 4 walls of the room will be increased? |
| A. | 0.85 |
| B. | 0.9 |
| C. | 0.75 |
| D. | 0.8 |
| E. | Cannot be determined |
| Answer» C. 0.75 | |
| 975. |
Q: The length, breadth and height of a room are in the ratio 3 : 2 : 1 if the volume of the room is 1296 metre3. Then find the breadth of the room? |
| A. | 12 metre |
| B. | 18 metre |
| C. | 16 metre |
| D. | 24 metre |
| Answer» B. 18 metre | |
| 976. |
Q: The length and breadth of a rectangular field are in the ratio of 3 : 2 . If the perimeter of the field is 80 m, its breadth (in meters) is: |
| A. | 18 |
| B. | 16 |
| C. | 10 |
| D. | 24 |
| Answer» C. 10 | |
| 977. |
Q: The length & breadth of a rectangle is in ratio 4 : 7. If perimeter is 88 cm. find area of rectangle. |
| A. | $$ {414{\ cm^{2}}}$$ |
| B. | $$ {336{\ cm^{2}}}$$ |
| C. | $$ {448{\ cm^{2}}}$$ |
| D. | $$ {524{\ cm^{2}}}$$ |
| E. | $$ {396{\ cm^{2}}}$$ |
| Answer» D. $$ {524{\ cm^{2}}}$$ | |
| 978. |
Q: The least number, which when divided by 4, 5 and 6 leaves remainder 1, 2 and 3 respectively is: |
| A. | 61 |
| B. | 63 |
| C. | 57 |
| D. | 59 |
| Answer» D. 59 | |
| 979. |
Q: The least value of n, such that (1 + 3 + 32 + ... + 3n) exceeds 2000, is- |
| A. | 7 |
| B. | 8 |
| C. | 3 |
| D. | 5 |
| Answer» C. 3 | |
| 980. |
Q: The least number which when divided by 4, 6, 8, 12 and 16 leaves a remainder of 2 in each case is: |
| A. | 46 |
| B. | 48 |
| C. | 50 |
| D. | 56 |
| Answer» D. 56 | |
| 981. |
Q: The least perfect square number divisible by 3,4,5,6 and 8 is: |
| A. | 700 |
| B. | 1400 |
| C. | 3500 |
| D. | 3600 |
| Answer» E. | |
| 982. |
Q: The least number which when divided by 4, 6, 8 and 9 leave zero remainders in each case and when divided by 13 leaves a remainder of 7 is: |
| A. | 85 |
| B. | 36 |
| C. | 144 |
| D. | 72 |
| Answer» E. | |
| 983. |
Q: The least number which must be subtracted from 2361 to make it a perfect square is |
| A. | 77 |
| B. | 67 |
| C. | 57 |
| D. | 47 |
| Answer» D. 47 | |
| 984. |
Q: The least number, which is a perfect square and is divisible by each of the numbers 16, 20 and 24 is |
| A. | 6400 |
| B. | 14400 |
| C. | 1600 |
| D. | 3600 |
| Answer» E. | |
| 985. |
Q: The least number, which must be added to 6709 to make it exactly divisible by 9, is |
| A. | 7 |
| B. | 2 |
| C. | 5 |
| D. | 4 |
| Answer» D. 4 | |
| 986. |
Q: The least number to be subtracted from 36798 to get a number which is exactly divisible by 78 is |
| A. | 38 |
| B. | 68 |
| C. | 18 |
| D. | 60 |
| Answer» E. | |
| 987. |
Q: The least number that should be added to 2,397 so that the sum is exactly divisible by 3, 4, 5 and 6 ? |
| A. | 6 |
| B. | 4 |
| C. | 3 |
| D. | 5 |
| Answer» D. 5 | |
| 988. |
Q: The least number that must be subtracted from 1294 so that the remaining number when divided by 9, 11, 13 will leave in each case the same remainder 6 is: |
| A. | 2 |
| B. | 3 |
| C. | 1 |
| D. | 4 |
| Answer» D. 4 | |
| 989. |
Q: The least number that must be added to 8961 to make it exactly divisible by 84 is |
| A. | 141 |
| B. | 107 |
| C. | 27 |
| D. | 57 |
| Answer» D. 57 | |
| 990. |
Q: The least number by which 294 must be multiplied to make it a perfect square, is: |
| A. | 3 |
| B. | 5 |
| C. | 6 |
| D. | 24 |
| Answer» D. 24 | |
| 991. |
Q: The least number by which 448 is to be divided to make it a perfect cube is |
| A. | 6 |
| B. | 7 |
| C. | 8 |
| D. | 9 |
| Answer» C. 8 | |
| 992. |
Q: The least number, by which 1944 must be multiplied so as to make the result a perfect cube is |
| A. | 6 |
| B. | 2 |
| C. | 13 |
| D. | 3 |
| Answer» E. | |
| 993. |
Q: The least number by which 1470 must be divided to get a number which is a perfect square, is: |
| A. | 5 |
| B. | 10 |
| C. | 20 |
| D. | 30 |
| Answer» E. | |
| 994. |
Q: The least multiple of 7, which leaves the remainder 4, when divided by any of 6, 9, 15 and 18, is |
| A. | 184 |
| B. | 364 |
| C. | 76 |
| D. | 94 |
| Answer» C. 76 | |
| 995. |
Q: The least multiple of 13, which on dividing by 4, 5, 6, 7 and 8 leaves remainder 2 in each case is |
| A. | 2522 |
| B. | 840 |
| C. | 2520 |
| D. | 842 |
| Answer» B. 840 | |
| 996. |
Q: The LCM of two multiples of 12 is 1056. If one of the numbers is 132, the other number is |
| A. | 96 |
| B. | 132 |
| C. | 12 |
| D. | 72 |
| Answer» B. 132 | |
| 997. |
Q: The LCM of two positive integers is twice the larger number. The difference of the smaller number and the GCD of the two numbers is 4. The smaller number is: |
| A. | 8 |
| B. | 10 |
| C. | 12 |
| D. | 6 |
| Answer» B. 10 | |
| 998. |
Q: The LCM of two numbers is 495 and their HCF is 5. If the sum of the numbers is 100, then their difference is: |
| A. | 10 |
| B. | 46 |
| C. | 70 |
| D. | 90 |
| Answer» B. 46 | |
| 999. |
Q: The LCM of two numbers is 45 times their HCF. If one of the numbers is 125 and sum of HCF and LCM is 1150. The other numbers is- |
| A. | 225 |
| B. | 235 |
| C. | 240 |
| D. | 250 |
| Answer» B. 235 | |
| 1000. |
Q: The LCM of two numbers is 12 times their HCF. The sum of the HCF and the LCM is 403. If one of the number is 93, then the other number is. |
| A. | 124 |
| B. | 128 |
| C. | 134 |
| D. | 138 |
| Answer» B. 128 | |