MCQOPTIONS
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MCQOPTIONS
This section includes 1274 Mcqs, each offering curated multiple-choice questions to sharpen your SRMJEEE knowledge and support exam preparation. Choose a topic below to get started.
| 951. |
Consider the circle shown below having angle AOB as 135o and the shaded portion is the x part of the circular region. Calculate the value of x. |
| A. | 1/12 |
| B. | 1/9 |
| C. | 1/6 |
| D. | 1/4 |
| Answer» E. | |
| 952. |
If the supplementary angle of x is 6 times its complementary angle, then x is ______. |
| A. | 180° |
| B. | 90° |
| C. | 72° |
| D. | 46° |
| Answer» D. 46° | |
| 953. |
Each interior angle of a regular polygon is 144°. The number of sides of the polygon is: |
| A. | 10 |
| B. | 11 |
| C. | 9 |
| D. | 8 |
| Answer» B. 11 | |
| 954. |
For a regular polygon having 10 sides, the interior angle between the sides of the polygon, in degrees, is: |
| A. | 216 |
| B. | 324 |
| C. | 144 |
| D. | 396 |
| Answer» D. 396 | |
| 955. |
In the given figure, if QR/XY = 14/9 and PY = 18 cm, then what is the value (in cm) of PQ? |
| A. | 28 |
| B. | 18 |
| C. | 21 |
| D. | 24 |
| Answer» B. 18 | |
| 956. |
In the given figure, PR and ST are perpendicular to tangent QR. PQ passes through centre O of the circle whose diameter is 10 cm. If PR = 9 cm, then what is the length (in cm) of ST? |
| A. | 1 |
| B. | 1.25 |
| C. | 1.5 |
| D. | 2 |
| Answer» B. 1.25 | |
| 957. |
In the diagram, two parallel lines are intersected by a transversal. If ∠2 - ∠1 = 30° , then ∠1 = ____. |
| A. | 85° |
| B. | 80° |
| C. | 75° |
| D. | 60° |
| Answer» D. 60° | |
| 958. |
An angle is greater than its complementary angle by 40°. Find the measure of the angle? |
| A. | 25° |
| B. | 65° |
| C. | 130° |
| D. | 50° |
| Answer» C. 130° | |
| 959. |
ABCD is a cyclic quadrilateral such that AB is a diameter of the circle circumscribing it and ∠ADC = 144o. Then ∠BAC is equal to∶ \(\left( {\pi \; = \;\frac{{22}}{7}} \right)\) |
| A. | 60° |
| B. | 150° |
| C. | 54° |
| D. | 40° |
| Answer» D. 40° | |
| 960. |
In the figure, two circles with centres P and Q touch externally at R. Tangents AT and BT meet the common tangent TR at T. If AP = 6 cm and PT = 10 cm, then BT =? |
| A. | 6 cm |
| B. | 10 cm |
| C. | 8 cm |
| D. | 12 cm |
| Answer» D. 12 cm | |
| 961. |
PQR is an isosceles triangle with sides PQ = PR = 45 cm and QR = 72 cm. PN is a median to base QR. What will be the length (in cm) of PN? |
| A. | 36 |
| B. | 24 |
| C. | 27 |
| D. | 32 |
| Answer» D. 32 | |
| 962. |
If the points P(15, 15), Q(50, 25) and R(β, 35) are collinear then what would be β. |
| A. | 24 |
| B. | -25 |
| C. | 85 |
| D. | -82 |
| Answer» D. -82 | |
| 963. |
In the given figure if ∠AOC + ∠BOD = 85∘ , then the value of ∠COD is - |
| A. | 95∘ |
| B. | 105∘ |
| C. | 115∘ |
| D. | 125∘ |
| Answer» B. 105∘ | |
| 964. |
If the lengths of the diagonals of a rhombus are 24 cm and 18 cm, then what is the area of the rhombus? |
| A. | 188 cm2 |
| B. | 196 cm2 |
| C. | 216 cm2 |
| D. | 204 cm2 |
| Answer» D. 204 cm2 | |
| 965. |
In triangle ABC, ∠ABC = 15o. D is a point on BC such that AD = BD. What is the measure of ∠ADC (in degrees)? |
| A. | 15 |
| B. | 30 |
| C. | 45 |
| D. | 60 |
| Answer» C. 45 | |
| 966. |
If L is the circumcentre of ΔXYZ and angle X is 40º, then the value of ∠YZL is: |
| A. | 50º |
| B. | 60º |
| C. | 40º |
| D. | 70º |
| Answer» B. 60º | |
| 967. |
In a circle with centre O, ABCD is a cyclic quadrilateral with AB as a diameter of the circle. AD and BC produced to meet at E such that AE = BE. If ∠CED = 70°, then what is the measure of ∠COD? |
| A. | 45° |
| B. | 60° |
| C. | 30° |
| D. | 40° |
| Answer» E. | |
| 968. |
If ΔABC is an isosceles triangle such that ∠ABC = 90°, then the true statement about ΔABC is |
| A. | 2(AC)2 = (AB)2 |
| B. | (AB)2 + (AC)2 = (BC)2 |
| C. | (BC)2 + (AC)2 = (AB)2 |
| D. | (AC)2 = 2(AB)2 |
| Answer» E. | |
| 969. |
If the area of a regular hexagon is 108√3 cm2, its perimeter is: |
| A. | 24 cm |
| B. | 36√2 cm |
| C. | 28√3 cm |
| D. | 42√3 cm |
| Answer» C. 28√3 cm | |
| 970. |
From a rectangle ABCD of area 768 sq cm, a semicircular part with diameter AB and area 72π sq cm is removed. The perimeter of the leftover portion, in cm, is |
| A. | 86 + 8π |
| B. | 88 + 12π |
| C. | 80 + 16π |
| D. | 82 + 24π |
| Answer» C. 80 + 16π | |
| 971. |
In ΔABC, D is a point on side AB such that BD = 2 cm and DA = 3 cm. E is a point on BC such that DE || AC, and AC = 4 cm. Then (Area of ΔBDE) : (Area of trapezium ACED) is: |
| A. | 1 : 5 |
| B. | 4 : 21 |
| C. | 4 : 25 |
| D. | 2 : 5 |
| Answer» C. 4 : 25 | |
| 972. |
In the given figure, O is centre of the circle, BC is a chord and CD is a tangent through the point C. If ∠AOC = 118°, then find the ∠ACD |
| A. | 63° |
| B. | 65° |
| C. | 59° |
| D. | 56° |
| Answer» D. 56° | |
| 973. |
ABC is a triangle right angled at B. Let M and N be two points on AB such that AM = MN = NB. Let P and Q be two points on AC such that PM is parallel to QN and QN is parallel to CB. If BC = 12 cm, then what is (PM + QN) equal to? |
| A. | 10 cm |
| B. | 11 cm |
| C. | 12 cm |
| D. | 13 cm |
| Answer» D. 13 cm | |
| 974. |
ΔABC, BE ⊥ AC, CD ⊥ AB and BE and CD intersect each other at O. The bisectors of ∠OBC and ∠OCB meet At P. If ∠BPC = 148°, then what is the measure of ∠A? |
| A. | 28° |
| B. | 32° |
| C. | 64° |
| D. | 56° |
| Answer» D. 56° | |
| 975. |
In ΔABC, AD is the median and AD = (1/2) BC. If ∠ACD = 40°, then what is the value (in degrees) of ∠DAB? |
| A. | 30 |
| B. | 40 |
| C. | 50 |
| D. | 80 |
| Answer» D. 80 | |
| 976. |
PA and PB are two tangents from a point P outside a circle with center O. If A and B are points on the circle such that ∠APB = 80°, then ∠OAB is equal to∶ |
| A. | 45° |
| B. | 40° |
| C. | 55° |
| D. | 50° |
| Answer» C. 55° | |
| 977. |
A rectangle ABCD is inscribed in a circle with centre O. If AC is the diagonal and ∠BAC = 30º, then the radius of the circle will be equal to |
| A. | \(\dfrac{\sqrt 3}{2} BC\) |
| B. | 2 BC |
| C. | BC |
| D. | None of the above |
| Answer» D. None of the above | |
| 978. |
In the given figure, CD || AB. Find y |
| A. | 79° |
| B. | 72° |
| C. | 74° |
| D. | 77° |
| Answer» C. 74° | |
| 979. |
In a circle with centre O, an arc ABC subtends an angle of 136° at the centre of the circle. The chord AB is produced to a point P. Then ∠CBP is equal to∶ |
| A. | 72° |
| B. | 66° |
| C. | 68° |
| D. | 44° |
| Answer» D. 44° | |
| 980. |
ABC and DEF are similar triangles. If the ratio of side AB to side DE is (√2 + 1) ∶ √3, then the ratio of the area of triangle ABC to that of the triangle DEF is |
| A. | (3 – 2√2) ∶ 3 |
| B. | (9 – 6√2) ∶ 2 |
| C. | 1 ∶ (9 – 6√2) |
| D. | (3 + 2√2) ∶ 2 |
| Answer» D. (3 + 2√2) ∶ 2 | |
| 981. |
If in triangle ∆ABC, AB = 4 cm, BC = 6 cm, and AC = 7 cm and in triangle ∆PQR, QR = 12 cm, and ∠A = ∠P, ∠B = ∠Q, then length of PQ will be: |
| A. | 10 cm |
| B. | 14 cm |
| C. | 12 cm |
| D. | 8 cm |
| Answer» E. | |
| 982. |
If D and E are the midpoints of AB and AC respectively of ΔABC, then the ratio of the areas of ADE and BCED is: |
| A. | 1 : 2 |
| B. | 1 : 4 |
| C. | 2 : 3 |
| D. | 1 : 3 |
| Answer» E. | |
| 983. |
Find the area of the triangle whose vertices are (1, -1), (-4, 0) and (-2, -3) |
| A. | 8.1 |
| B. | 4.9 |
| C. | 7.2 |
| D. | 6.5 |
| Answer» E. | |
| 984. |
Find the point at which the line segment joined by the points (- 1, 0) and (2, 6) is divided internally in the ratio 2 : 1. |
| A. | (0, 5) |
| B. | (1, 4) |
| C. | (1, 3) |
| D. | (0, 4) |
| Answer» C. (1, 3) | |
| 985. |
A polygon that has 8 sides is called ______ |
| A. | octagon |
| B. | hexagon |
| C. | pentagon |
| D. | decagon |
| Answer» B. hexagon | |
| 986. |
Let ΔABC ~ ΔQPR and \(\frac{{{\rm{\;ar}}\left( {{\rm{\Delta ABC}}} \right)}}{{{\rm{ar\;}}\left( {{\rm{\Delta PQR}}} \right)}} = \frac{9}{{16}},\) If AB = 12 cm, BC = 6 cm and AC = 9 cm, then PR is |
| A. | 12 cm |
| B. | 16 cm |
| C. | 8 cm |
| D. | 9 cm |
| Answer» D. 9 cm | |
| 987. |
PQ is a diameter of a circle with centre O. RS is a chord parallel to PQ subtends an angle of 40° at the centre of the circle. If PR and QS are produced to meet at T, then what will be the measure (in degrees) of ∠PTQ? |
| A. | 55 |
| B. | 60 |
| C. | 70 |
| D. | 90 |
| Answer» D. 90 | |
| 988. |
How many lines of symmetry does a square have? |
| A. | 2 |
| B. | 4 |
| C. | 3 |
| D. | 7 |
| Answer» C. 3 | |
| 989. |
A(7, - 8) and C(1, 4) are the two vertices of a square ABCD. Find equation of diagonal BD? |
| A. | x - 2y = - 8 |
| B. | x - 2y = 8 |
| C. | x + 2y = - 8 |
| D. | x + 2y = 8 |
| Answer» C. x + 2y = - 8 | |
| 990. |
If in-radius of an equilateral triangle is 3 cm. Calculate the perimeter (in cm) of the equilateral triangle. |
| A. | 6√3 |
| B. | 3√3 |
| C. | 12√3 |
| D. | 18√3 |
| Answer» E. | |
| 991. |
All circles are |
| A. | Congruent |
| B. | Similar |
| C. | cyclic |
| D. | none of these |
| Answer» C. cyclic | |
| 992. |
An angle is 30° more than half of its complement. Find the difference between the greater and the smaller angles? |
| A. | 10° |
| B. | 20° |
| C. | 30° |
| D. | 25° |
| Answer» B. 20° | |
| 993. |
If the angles of triangle are in the ratio of 1 : 4 : 7, the find the ratio of the greatest angle to the smallest angle? |
| A. | 7 : 2 |
| B. | 2 : 3 |
| C. | 7 : 1 |
| D. | 3 : 5 |
| Answer» D. 3 : 5 | |
| 994. |
Find a point on the Y axis which is equidistant from A(2, -3) and B(-2, 1) |
| A. | P(0, -1) |
| B. | P(0, -2) |
| C. | P(0, 1) |
| D. | P(0, 2) |
| Answer» B. P(0, -2) | |
| 995. |
How much does the 2nd diagonal of a rhombus measure if the area is 96 sq cm and the 1st diagonal measures 6 cm? |
| A. | 48 cm |
| B. | 16 cm |
| C. | 24 cm |
| D. | 32 cm |
| Answer» E. | |
| 996. |
PQRS is a cyclic quadrilateral in which PQ = x cm, QR = 16.8cm, RS = 14 cm, PS = 25.2 cm, and PR bisects QS. What is the value of x? |
| A. | 24 |
| B. | 21 |
| C. | 28 |
| D. | 18 |
| Answer» C. 28 | |
| 997. |
ABCD is a cyclic quadrilateral such that AB is a diameter of the circle circumscribing it and angle ADC = 126°. ∠BAC is equal to: |
| A. | 72° |
| B. | 36° |
| C. | 18° |
| D. | 24° |
| Answer» C. 18° | |
| 998. |
Point A (4, 2) divides segment BC in the ratio 2 : 5. Co-ordinates of B are (2, 6) and C are (7, y). What is the value of y? |
| A. | 8 |
| B. | -8 |
| C. | 6 |
| D. | -6 |
| Answer» C. 6 | |
| 999. |
In quadrilateral PQRS, RM ⊥ Qs, PN ⊥ QS and QS = 6 cm. If RM = 3 cm and PN = 2 cm, then the area of PQRS is |
| A. | 15 cm2 |
| B. | 13 cm2 |
| C. | 11 cm2 |
| D. | 14 cm2 |
| Answer» B. 13 cm2 | |
| 1000. |
In ∆ABC, AC = 8.4 cm and BC = 14 cm, P is a point on AB such that CP = 11.2 cm and ∠ACP =∠B. what is the length (in cm) of BP? |
| A. | 3.6 |
| B. | 3.78 |
| C. | 4.12 |
| D. | 2.8 |
| Answer» C. 4.12 | |