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.
| 1101. |
If the area of an equilateral triangle is 44√3 sq. units, calculate the ratio of the radii of its incircle and the radii of its circumcircle.A. 1/ 2B. 1/ 4C. 1/ 3D. 2/ 3 |
| A. | B |
| B. | A |
| C. | C |
| D. | D |
| Answer» C. C | |
| 1102. |
In a triangle ABC, medians AD and BE are perpendicular to each other, and have lengths 12 cm and 9 cm, respectively. Then, the area of triangle ABC, in sq cm, is |
| A. | 80 |
| B. | 72 |
| C. | 78 |
| D. | 68 |
| Answer» C. 78 | |
| 1103. |
Calculate the value of angle FED from the figure shown below. |
| A. | 30° |
| B. | 40° |
| C. | 60° |
| D. | 80° |
| Answer» C. 60° | |
| 1104. |
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 | |
| 1105. |
Identify the equation of the line with slope = - 4 and y – intercept = 2 |
| A. | \(2x + \frac{y}{2} = 1\) |
| B. | \(2x + \frac{y}{3} = 1\) |
| C. | 2x + y = 1 |
| D. | \(2x + \frac{y}{4} = 1\) |
| Answer» B. \(2x + \frac{y}{3} = 1\) | |
| 1106. |
In a circle, a diameter AB and a chord PQ (which is not a diameter) intersect each other at X perpendicularly. If AX : BX = 3 : 2 and the radius of the circle is 5 cm, then the length of chord PQ is |
| A. | 2√6 cm |
| B. | 5√3 cm |
| C. | 4√6 cm |
| D. | 6√5 cm |
| Answer» D. 6√5 cm | |
| 1107. |
Consider the following statements:(1) If n ≥ 3 and m ≥ 3 are distinct positive integers, then the sum of exterior angles of a regular polygon of m sides is different from the sum of exterior angles of regular polygon of n sides(2) Let m, n be integers such that m > n ≥ 3. Then the sum of the interior angles of regular polygon of sides is greater than the sum of interior angles of a regular polygon of n sides, and their sum is (m + n)π/2Which of the above statements is/are correct? |
| A. | 1 only |
| B. | 2 only |
| C. | Both 1 and 2 |
| D. | Neither 1 nor 2 |
| Answer» E. | |
| 1108. |
In the given figure, a circle touches the sides of a quadrilateral PQRS. The radius of the circle is 9 cm. ∠RSP = ∠SRQ = 60° and ∠PQR = ∠QPS = 120°. What is the perimeter (in cm) of the quadrilateral? |
| A. | 36√3 |
| B. | 24√3 |
| C. | 48√3 |
| D. | 32 |
| Answer» D. 32 | |
| 1109. |
If a chord of a circle subtends an angle of 30° at the circumference of the circle, then what is the ratio of the radius of the circle and the length of the chord respectively? |
| A. | 1 : 1 |
| B. | 2 : 1 |
| C. | 3 : 1 |
| D. | √2 : 1 |
| Answer» B. 2 : 1 | |
| 1110. |
If l, m, n are lines such that, l is parallel to n and m is parallel to n, then, ______ |
| A. | l and m intersects at a point |
| B. | l, m and n are concurrent lines |
| C. | l is perpendicular to m |
| D. | l is parallel to m |
| Answer» E. | |
| 1111. |
In the given figure, O is the center of the circle, ∠DAB = 110° and ∠BEC = 100°. What is the value (in degrees) of ∠OCB? |
| A. | 5° |
| B. | 10° |
| C. | 35° |
| D. | 20° |
| Answer» C. 35° | |
| 1112. |
If the quadrilateral has an inscribed circle, then the sum of a pair of opposite sides equals: |
| A. | Half the sum of the diagonals |
| B. | Sum of other pair of opposite sides |
| C. | Sum of two adjacent sides |
| D. | None of the above |
| Answer» C. Sum of two adjacent sides | |
| 1113. |
In a regular polygon the ratio of an interior and an exterior angle is 7 : 2. The number of sides will be |
| A. | 5 |
| B. | 6 |
| C. | 7 |
| D. | 9 |
| Answer» E. | |
| 1114. |
PQRS is a parallelogram and its area is 300 cm2. Side PQ is extended to X such that PQ = QX. If XS intersects QR at Y, then what is the area (in cm2) of triangle SYR? |
| A. | 75 |
| B. | 50 |
| C. | 120 |
| D. | 100 |
| Answer» B. 50 | |
| 1115. |
PA and PB are two tangents to a circle with centre O, from a point P outside the circle. A and B are points on the circle. If ∠APB = 40°, then ∠OAB equal to∶ |
| A. | 40° |
| B. | 20° |
| C. | 50° |
| D. | 25° |
| Answer» C. 50° | |
| 1116. |
A circle inscribed in a triangle ABC touches its sides AB, BC and AC at the points D, E and F, respectively. If AB = 18 cm, BC = 15 cm and AC = 13 cm, then the value of AD + BE + CF is: |
| A. | 25 cm |
| B. | 33 cm |
| C. | 23 cm |
| D. | 20 cm |
| Answer» D. 20 cm | |
| 1117. |
In the given figure, what is the value of ∠1 + ∠2 + ∠3 + ∠4 + ∠5 + ∠6 + ∠7 + ∠8 + ∠9 + ∠10? |
| A. | 600 |
| B. | 720 |
| C. | 900 |
| D. | 1080 |
| Answer» C. 900 | |
| 1118. |
Point A (2, 1) divides segment BC in the ratio 2 : 3. Co-ordinates of B are (1, -3) and C are (4, y). What is the value of y? |
| A. | 8 |
| B. | -7 |
| C. | -8 |
| D. | 7 |
| Answer» E. | |
| 1119. |
∆ABC and ∆PQR are congruent to each other. If AC = 12 cm, then what will be the value of PR? |
| A. | 12 cm |
| B. | 15 cm |
| C. | 18 cm |
| D. | 10 cm |
| Answer» B. 15 cm | |
| 1120. |
ABCD is quadrilateral inscribed in a circle (radius = r). The bisectors of the ∠DAB and ∠BCD intersect the circle at X and Y, respectively. What is the length of the straight line XY? |
| A. | πr2 |
| B. | 2r |
| C. | (r + 2) |
| D. | πr2/2 |
| Answer» C. (r + 2) | |
| 1121. |
In the given figure, CD and AB are diameters of circle and AB and CD are perpendicular to each other. QL and SR are perpendiculars to AB and CD respectively. Radius of circle is 5 cm, PB ∶ PA = 2 ∶ 3 and CN ∶ ND = 2 : 3. What is the length (in cm) of SM? |
| A. | [(5√3) - 3] |
| B. | [(4√3) - 2] |
| C. | [(2√5) - 1] |
| D. | [(2√6) - 1] |
| Answer» E. | |
| 1122. |
AB and CD are two parallel lines. The transversal PQ curs AB at E and CD at F. if \(\angle AEP=y,\angle PEB=x, \angle DFQ = 3x,\)then the value of y is: |
| A. | 135° |
| B. | 140° |
| C. | 90° |
| D. | 45° |
| Answer» B. 140° | |
| 1123. |
If each force \(\vec{F_1}+\vec{F_2} \) and \(\vec{F_1}-\vec{F_2}\)has magnitude \(\sqrt {\overrightarrow {F_1^2} + \overrightarrow {F_2^1}} \) then the angle between \(\vec{F_1}\) and \(\vec{F_2}\) is |
| A. | 90° |
| B. | 60° |
| C. | 45° |
| D. | 0° |
| Answer» B. 60° | |
| 1124. |
In the given figure, PQRSTU is a regular hexagon of side 12 cm. What is the area (in cm2) of ΔSQU? |
| A. | 162√3 |
| B. | 216√3 |
| C. | 108√3 |
| D. | 54√3 |
| Answer» D. 54√3 | |
| 1125. |
ABCD is a trapezium in which AB || DC and DC is perpendicular to BC. If ∠DAB = 110°, then ∠ABC - ∠ADC =_____. |
| A. | 18° |
| B. | 16° |
| C. | 20° |
| D. | 220 |
| Answer» D. 220 | |
| 1126. |
ΔABC is similar to ΔPQR and AB : PQ = 2 : 3. AD is the median to the side BC in ΔABC and PS is the median to the side QR in ΔPQR. What is the value of (BD/QS)2? |
| A. | 3/5 |
| B. | 4/9 |
| C. | 2/3 |
| D. | 4/7 |
| Answer» C. 2/3 | |
| 1127. |
In ΔABC, AD and AE are bisectors of ∠BAC and ∠BAD respectively. If ∠BAE = 30°, AE = 9 cm and EC = 15 cm, what is the area (in cm2) of ΔAEC? |
| A. | 36 |
| B. | 54 |
| C. | 72 |
| D. | 216 |
| Answer» C. 72 | |
| 1128. |
PA and PB are tangents to the circle and O is the centre of the circle. The radius is 5 cm and PO is 13 cm. If the area of the triangle PAB is M, then the value of \(\sqrt {\frac{M}{{15}}}\) is: |
| A. | \(\sqrt {\frac{12}{{13}}}\) |
| B. | \({\frac{24}{{13}}}\) |
| C. | \(\sqrt {\frac{24}{{13}}}\) |
| D. | \({\frac{12}{{13}}}\) |
| Answer» C. \(\sqrt {\frac{24}{{13}}}\) | |
| 1129. |
A truck moves along a circular path and describes 100 m when it has traced out 36° at the centre. The radius of the circle is equal to |
| A. | 100/π m |
| B. | 250/π m |
| C. | 500/π m |
| D. | 600/π m |
| Answer» D. 600/π m | |
| 1130. |
In the given figure, O is the center of the circle and ∠ACB = 30º. Find ∠AOB. |
| A. | 90º |
| B. | 60º |
| C. | 30º |
| D. | 50º |
| Answer» C. 30º | |
| 1131. |
In the given figure, sides AB and AD of quadrilateral ABCD are producted to E and F, respectively. If ∠CBE = 100°, then ∠CDF = _____. |
| A. | 130° |
| B. | 100° |
| C. | 80° |
| D. | 110° |
| Answer» D. 110° | |
| 1132. |
If the measure of the interior angle of a regular polygon is 120o then how many sides does it have? |
| A. | 6 |
| B. | 8 |
| C. | 9 |
| D. | 10 |
| Answer» B. 8 | |
| 1133. |
In a ΔABC, AD is perpendicular to BC from A. if ∠BAC = 90°, then AB2 : AC2 is equal to: |
| A. | BD2 : CD2 |
| B. | CD : BD |
| C. | CD2 : BD2 |
| D. | BD : CD |
| Answer» E. | |
| 1134. |
If two supplementary angles differ by 20 degree, then the smaller of the two angles is _______. |
| A. | 60 |
| B. | 80 |
| C. | 100 |
| D. | None of the above |
| Answer» C. 100 | |
| 1135. |
ABCD is a cyclic quadrilateral. The tangents to the circle at the points A and C on it, intersect at P. If ∠ABC = 98°, then what is the measure of ∠APC? |
| A. | 14° |
| B. | 22° |
| C. | 16° |
| D. | 26° |
| Answer» D. 26° | |
| 1136. |
Find the distance between the points (2, 0, 2) and (-2, 2, -2) |
| A. | √3 |
| B. | 3 |
| C. | √6 |
| D. | 6 |
| Answer» E. | |
| 1137. |
In the give figure, PT is a common tangent to three circles at points A, B and C respectively. The radius of the small, medium and large circles is 4 cm, 6 cm and 9 cm respectively. O1, O2 and O3 are the centre of the three circles. What is the value (in cm) of PC? |
| A. | 18√6 |
| B. | 9√6 |
| C. | 24√6 |
| D. | 15√6 |
| Answer» B. 9√6 | |
| 1138. |
In the given figure if DE ∥BC, AD = 2.5 cm, DB = 3.5 cm and EC = 4.2 cm, then the measure of AC is: |
| A. | 3 cm |
| B. | 3.2 cm |
| C. | 7.2 cm |
| D. | 7.4 cm |
| Answer» D. 7.4 cm | |
| 1139. |
If the lengths of two parallel chords in a circle of radius 10 cm are 12 cm and 16 cm, then what is the distance these two chords? |
| A. | 1 cm or 7 cm |
| B. | 2 cm or 14 cm |
| C. | 3 cm or 21 cm |
| D. | 4 cm or 28 cm |
| Answer» C. 3 cm or 21 cm | |
| 1140. |
Point A divides segment BC in the ratio 4 : 1. Co - ordinates of B are (6, 1) and C are (7/2, 6). What are the coordinates of point A? |
| A. | (4 , 3) |
| B. | (4 , 5) |
| C. | (2 , 5) |
| D. | (3 , 5) |
| Answer» C. (2 , 5) | |
| 1141. |
If a transversal intersects four parallel straight lines, then the number of distinct values of angles formed will be |
| A. | 2 |
| B. | 4 |
| C. | 8 |
| D. | 16 |
| Answer» B. 4 | |
| 1142. |
ΔABC is isosceles having AB = AC and ∠A = 40°. Bisectors PO and OQ of the exterior angles ∠ABD and ∠ACE formed by producing BC on both sides, meet at O. The value of ∠BOC is: |
| A. | 70° |
| B. | 110° |
| C. | 80° |
| D. | 55° |
| Answer» B. 110° | |
| 1143. |
In an equilateral triangle ABC, \(\overline {AD} ⊥ \overline {BC} \). Then which of the following statements is correct? |
| A. | 2AB2 = 3AD2 |
| B. | 4AB2 = 3AD2 |
| C. | 3AB2 = 4AD2 |
| D. | 3AB2 = 2AD2 |
| Answer» D. 3AB2 = 2AD2 | |
| 1144. |
One of the sides and the height to that side of a parallelogram are 4 cm and 3 cm respectively. Find the area of the parallelogram. |
| A. | 18 cm2 |
| B. | 20 cm2 |
| C. | 6 cm2 |
| D. | 12 cm2 |
| Answer» E. | |
| 1145. |
In the given figure, AP = 3 cm, AR = 6 cm and RS = 9 cm, then what is the value (in cm) of PQ? |
| A. | 9 |
| B. | 12 |
| C. | 18 |
| D. | 27 |
| Answer» E. | |
| 1146. |
Chords AB and CD of a circle intersect at a point P inside the circle. If AB = 10 cm, AP = 4 cm and PC = 5 cm, then CD is equal to: |
| A. | 4.8 cm |
| B. | 6.8 cm |
| C. | 9.8 cm |
| D. | 7.8 cm |
| Answer» D. 7.8 cm | |
| 1147. |
In cyclic quadrilateral WXYZ, the measure of angle Z is 10 more than twice the average of the measures of other three angles. The measure of angle Z, is: |
| A. | 150 |
| B. | 30 |
| C. | 120 |
| D. | 60 |
| Answer» B. 30 | |
| 1148. |
If angles of a quadrilateral are in the ratio 3 : 5 : 9 : 13, find the largest angle? |
| A. | 165° |
| B. | 180° |
| C. | 156° |
| D. | 190° |
| Answer» D. 190° | |
| 1149. |
In a ΔABC. D is point on BC. AB is produce to E and AC is produce to F. A circle is passes through DEF, where AB = 10 cm, AC = 8.6 cm and BC = 6.4, then BE = ? |
| A. | 3.5 cm |
| B. | 3.2 cm |
| C. | 2.5 cm |
| D. | 2.2 cm |
| Answer» D. 2.2 cm | |
| 1150. |
In Δ ABC, ∠A = 30°. If the bisectors of the angle B and angle c meet at a point O in the interior of the triangle, then ∠BOC is equal to∶ |
| A. | 75° |
| B. | 105° |
| C. | 120° |
| D. | 90° |
| Answer» C. 120° | |