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.
| 101. |
ΔABC ∼ ΔRQP and PQ = 10 cm, QR = 12 cm and RP = 18 cm. If ar(ΔABC) ∶ ar(ΔPQR) = 4/9, then AB is equal to∶ |
| A. | 12 cm |
| B. | 20/3 cm |
| C. | 8 cm |
| D. | 9 cm |
| Answer» D. 9 cm | |
| 102. |
In the given figure, chords PQ and RS intersect each other at point L. Find the length of RL. |
| A. | 8 cm |
| B. | 2 cm |
| C. | 6 cm |
| D. | 3 cm |
| Answer» D. 3 cm | |
| 103. |
If ΔABC ~ ΔQPR, Area ΔABC : Area ΔPQR = 9 : 16. If AB = 12 cm, BC = 6 cm and AC = 9 cm, then QR is equal to: |
| A. | 12 cm |
| B. | 16 cm |
| C. | 8 cm |
| D. | 9 cm |
| Answer» B. 16 cm | |
| 104. |
In a triangle ABC, the side BC is extended up to D. Such that CD = AC. If ∠BAD = 109° and ∠ACB = 72° then the value of ∠ABC is |
| A. | 35° |
| B. | 60° |
| C. | 40° |
| D. | 45° |
| Answer» B. 60° | |
| 105. |
ABCD is a cyclic quadrilateral in which sides AD and BC are produced to meet at P, and sides DC and AB meet at Q when produced. If ∠A = 60° and ∠ABC = 72°, then ∠DPC –∠BQC = ? |
| A. | 30° |
| B. | 36° |
| C. | 24° |
| D. | 40° |
| Answer» C. 24° | |
| 106. |
A chord of length 7 cm subtends an angle of 60° at the centre of a circle. What is the radius (in cm) of the circle? |
| A. | 7√2 |
| B. | 7√3 |
| C. | 7 |
| D. | 14 |
| Answer» D. 14 | |
| 107. |
If the co-ordinates of three vertices of a square are (0, 0), (0, -4) and (4, 0), then the co-ordinates of its fourth vertex is - |
| A. | (4, 4) |
| B. | (-4, 4) |
| C. | (4, -4) |
| D. | (-4, -4) |
| Answer» D. (-4, -4) | |
| 108. |
Chords AB and CD of a circle intersect externally at P. If AB = 6 cm, CD = 3 cm and PB = 4 cm, then the length (in cm) of PC = ? |
| A. | 7 |
| B. | 8 |
| C. | 6 |
| D. | 5 |
| Answer» C. 6 | |
| 109. |
PQR is a triangle, whose area is 180 cm2. S is a point on side QR, such that PS is the angle bisector of ∠QPR. If PQ ∶ PR = 2 ∶ 3, then what is the area (in cm2) of ΔPSR? |
| A. | 90 |
| B. | 108 |
| C. | 144 |
| D. | 72 |
| Answer» C. 144 | |
| 110. |
In a circle, AB and DC are two chords. When AB and DC are produced, they meet at P. If PC = 5.6 cm, PB = 6.3 cm and AB = 7.7 cm, then the length of CD is∶ |
| A. | 9 cm |
| B. | 9.25 cm |
| C. | 8.35 cm |
| D. | 10.15 cm |
| Answer» E. | |
| 111. |
In triangle CAT, ∠ACT = ∠ATC and ∠CAT = 36°. If TR bisects ∠ATC, then ∠CRT =? |
| A. | 36° |
| B. | 54° |
| C. | 72° |
| D. | 90° |
| Answer» D. 90° | |
| 112. |
Angles of a triangle are (y + 36)° , (2y - 14)° and (y - 22)°. What is the value (in degrees) of 2y? |
| A. | 45 |
| B. | 70 |
| C. | 90 |
| D. | 100 |
| Answer» D. 100 | |
| 113. |
ABCD is a cyclic quadrilateral such that AB is a diameter of the circle circumscribing it and ∠BAC = 50°. Then ∠ADC is equal to∶ |
| A. | 60° |
| B. | 150° |
| C. | 130° |
| D. | 140° |
| Answer» E. | |
| 114. |
AB is a diameter of a circle and ABCD is a cyclic quadrilateral in that. If ∠ACD = 40°, then measurement of ∠BAD is |
| A. | 40° |
| B. | 80° |
| C. | 90° |
| D. | 50° |
| Answer» E. | |
| 115. |
ABCD is a square and CDE is an equilateral triangle outside the square. What is the value (in degrees) of ∠BEC? |
| A. | 15 |
| B. | 30 |
| C. | 25 |
| D. | 10 |
| Answer» B. 30 | |
| 116. |
If the angles of a triangle are in the ratio of 2:3:7, then find the ratio of the greatest angle to the smallest angle.A. 7 : 2B. 2: 3C. 7 : 1D. 3 : 5 |
| A. | C |
| B. | A |
| C. | B |
| D. | D |
| Answer» C. B | |
| 117. |
In a circle of radius 13 cm, a chord is at a distance of 12 cm from the centre of the circle. What is the length of the chord? |
| A. | 5 cm |
| B. | 9 cm |
| C. | 10 cm |
| D. | 7 cm |
| Answer» D. 7 cm | |
| 118. |
Let the triangles ABC and DEF be such that ∠ABC = ∠DEF, ∠ACB = ∠DFE and ∠BAC = ∠EDF. Let L be the midpoint of BC and M be the point of EF. Consider the following statements:Statement I: Triangle ABL and DEM are similarStatement II: Triangle ALC is congruent to triangle DMF even if AC ≠ DFWhich one of the following is correct in respect of the above statements? |
| A. | Both Statement I and Statement II are true and Statement II is the correct explanation of Statement I |
| B. | Both Statement I and Statement II are true and Statement II is not the correct explanation of Statement I |
| C. | Statement I is true but Statement II is false |
| D. | Statement I is false but Statement II is true |
| Answer» D. Statement I is false but Statement II is true | |
| 119. |
ΔABC is similar to ΔDEF. If the area of ΔABC is 9 sq. cm, and area of ΔDEF is 16 sq.cm, and BC = 2.1 cm. then the length of EF will be |
| A. | 5.6 cm |
| B. | 2.8 cm |
| C. | 3.7 cm |
| D. | 1.4 cm |
| Answer» C. 3.7 cm | |
| 120. |
In ΔABC, AB and AC are produced to points D and E, respectively. If the bisectors of ∠CBD and ∠BCE meet at the point O, and ∠BOC = 57°, then ∠A is equal to: |
| A. | 66° |
| B. | 93° |
| C. | 114° |
| D. | 57° |
| Answer» B. 93° | |
| 121. |
In a triangle, one of the angles is three times the smallest and another is two times the smallest angle. Calculate the smallest angle. |
| A. | 60° |
| B. | 30° |
| C. | 90° |
| D. | 45° |
| Answer» C. 90° | |
| 122. |
In the given figure, O is the center of the circle, ∠PQO = 30° and ∠QRO = 45°. What is the value (in degree) of ∠POR? |
| A. | 150 |
| B. | 110 |
| C. | 160 |
| D. | 130 |
| Answer» B. 110 | |
| 123. |
If in the following figure (not to the scale), ∠ACB = 135° and the radius of the circle is \(2 \sqrt{2}\) cm, then the length of the chord AB is: |
| A. | 6 cm |
| B. | \(4\sqrt{2} \ cm\) |
| C. | \(3\sqrt{2} \ cm\) |
| D. | 4 cm |
| Answer» E. | |
| 124. |
PQRS is a square, M is the mid-point of PQ and N is a point on QR such that NR is two-third of QR. If the area of ΔMQN is 48cm2, then what is the length (in cm) of PR? |
| A. | 12√2 |
| B. | 12 |
| C. | 24 |
| D. | 24√2 |
| Answer» E. | |
| 125. |
An equilateral triangle ABC and a scalene triangle DBC are inscribed in a circle on same side of the arc. what is ∠BDC equal to? |
| A. | 30° |
| B. | 45° |
| C. | 60° |
| D. | 90° |
| Answer» D. 90° | |
| 126. |
AB and CD are two parallel lines. PQ cuts AB and CD at E and F, respectively. EL is the bisector of ∠FEB. If ∠LEB = 25°, then ∠CFQ will be: |
| A. | 140° |
| B. | 130° |
| C. | 50° |
| D. | 25° |
| Answer» C. 50° | |
| 127. |
In the given figure \(\overline {XY} \parallel \overline {BC} \) AB = 4.8 cm, BC = 7.2 cm and BX = 2 cm, then what is XY in cm? |
| A. | 4 cm |
| B. | 4.1 cm |
| C. | 4.2 cm |
| D. | 4.3 cm |
| Answer» D. 4.3 cm | |
| 128. |
Consider the two similar triangles ABC and DEF. Which of the following is correct about the ratio of the area of the triangle ABC and DEF? |
| A. | \(\left( {\frac{{AB}}{{DE}}} \right) = \left( {\frac{{EF}}{{BC}}} \right) = \left( {\frac{{AC}}{{DF}}} \right)\) |
| B. | \({\left( {\frac{{AB}}{{DE}}} \right)^2} = {\left( {\frac{{BC}}{{EF}}} \right)^2} = {\left( {\frac{{AC}}{{DF}}} \right)^2}\) |
| C. | \(\left( {\frac{{AB}}{{DE}}} \right) = \left( {\frac{{BC}}{{EF}}} \right) = \left( {\frac{{DF}}{{AC}}} \right)\) |
| D. | None of these |
| Answer» C. \(\left( {\frac{{AB}}{{DE}}} \right) = \left( {\frac{{BC}}{{EF}}} \right) = \left( {\frac{{DF}}{{AC}}} \right)\) | |
| 129. |
ABCD is a rectangle. If AB + BC = 14 cm and AC + BD = 20 cm, then the length BC of the rectangle is: |
| A. | 9 cm |
| B. | 5 cm |
| C. | 8 cm |
| D. | 4 cm |
| Answer» D. 4 cm | |
| 130. |
In the given figure, O is the center of the circle, if ∠POR = 130°, then what is the value (in degree) of ∠S and ∠Q respectively. |
| A. | 65°, 115° |
| B. | 55°, 125° |
| C. | 60°, 120° |
| D. | 65°, 120° |
| Answer» B. 55°, 125° | |
| 131. |
In the given figure, chords AD and BC in the circle, are extended to E and F, respectively.If ∠CDE = 85°; ∠DCF = 94°, then the value of ∠ABF + ∠EAB is: |
| A. | 194° |
| B. | 182° |
| C. | 168° |
| D. | 179° |
| Answer» E. | |
| 132. |
AB is the chord of circle of length 6 cm. From the center of the circle a perpendicular is drawn which intersects the chord at D and distance between centre and chord is 4 cm. find the area (in cm2) of the circle) |
| A. | 55 |
| B. | 61.5 |
| C. | 70 |
| D. | 78.5 |
| Answer» E. | |
| 133. |
In ΔABC, P is a point on BC such that BP ∶ PC = 1 ∶ 2 and Q is the midpoint of BP. Then, ar(ΔABQ) ∶ ar(ΔABC) is |
| A. | 1 ∶ 5 |
| B. | 1 ∶ 3 |
| C. | 1 ∶ 4 |
| D. | 1 ∶ 6 |
| Answer» E. | |
| 134. |
A secant is drawn from a point P to a circle so that it meets the circle first at A, then goes through the centre, and leaves the circle at B. If the length of the tangent from P to circle is 12 cm, and the radius of the circle is 5 cm, then the distance from P to A is: |
| A. | 10 cm |
| B. | 8 cm |
| C. | 12 cm |
| D. | 18 cm |
| Answer» C. 12 cm | |
| 135. |
In the given figure, ΔPQR is drawn such that PQ is tangent to a circle whose radius is 10 cm and QR passes through centre of the circle. Point R lies on the circle. IF QR =36 cm, then what is the area (in cm2) of ΔPQR? |
| A. | 134.5 |
| B. | 148 |
| C. | 166.15 |
| D. | 180 |
| Answer» D. 180 | |
| 136. |
If in ΔABC, D is a point on BC, such that BD : BC = 2 : 5, what is the ratio area(ΔABD) : area(ΔADC)? |
| A. | 1 : 2 |
| B. | 4 : 9 |
| C. | 2 : 3 |
| D. | 2 : 5 |
| Answer» D. 2 : 5 | |
| 137. |
PA and PB are the tangents to a circle with center O, from a point P outside the circle. A and B are the points on the circle. If ∠APB = 72°, then ∠OAB is equal to: |
| A. | 18° |
| B. | 72° |
| C. | 24° |
| D. | 36° |
| Answer» E. | |
| 138. |
If the length of three sides of a triangle are 10 cm, 24 cm and 26 cm, then the length of the median to its greater side is equal to: |
| A. | 13 cm |
| B. | 6 cm |
| C. | 5 cm |
| D. | 12 cm |
| Answer» B. 6 cm | |
| 139. |
In ΔABC, ∠C = 90° and CD is perpendicular to AB at D. If AD/BD = √k, then AC/BC = ? |
| A. | √k |
| B. | k |
| C. | ∜k |
| D. | 1/√k |
| Answer» D. 1/√k | |
| 140. |
If the two sides of obtuse angled triangle are 8 cm and 15 cm and the third side is x then find the range of x if 15 is the longest side. |
| A. | 7 < x < 23 |
| B. | 7 < x < √161 |
| C. | 17 < x < 21 |
| D. | Cannot be determined |
| Answer» C. 17 < x < 21 | |
| 141. |
In the given figure, MNOP is a parallelogram PM is extended to Z. OZ intersects MN and PN at Y and X respectively. If OX = 27 cm and XY = 18 cm, then what is the length (in cm) of YZ? |
| A. | 21.4 |
| B. | 22.5 |
| C. | 23.8 |
| D. | 24.5 |
| Answer» C. 23.8 | |
| 142. |
If the opposite angles of a parallelogram are (3x + 5)° and (61 - x)°, the angle is: |
| A. | 47° |
| B. | 50° |
| C. | 74° |
| D. | 48° |
| Answer» B. 50° | |
| 143. |
In ΔABC, D is a point on side BC such that ∠ADC = 2∠BAD. If ∠A = 80° and ∠C = 38°, then what is the measure of ∠ADB? |
| A. | 56° |
| B. | 62° |
| C. | 58° |
| D. | 52° |
| Answer» B. 62° | |
| 144. |
∆ABC is right angled at B. BD is an altitude. AD = 4 cm and DC = 9 cm. What is the value of BD (in cm)? |
| A. | 5 |
| B. | 4.5 |
| C. | 5.5 |
| D. | 6 |
| Answer» E. | |
| 145. |
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 = 70°, then ∠OAB is equal to∶ |
| A. | 35° |
| B. | 50° |
| C. | 25° |
| D. | 20° |
| Answer» B. 50° | |
| 146. |
In the triangle ABC, ∠BAC = 50° and the bisectors of ∠ABC and ∠ACB meets at P. What is the value (in degrees) of ∠BPC? |
| A. | 100 |
| B. | 105 |
| C. | 115 |
| D. | 125 |
| Answer» D. 125 | |
| 147. |
In a triangle ABC, AB = 9 cm, BC = 40 cm. and AC = 41 cm, then the triangle is |
| A. | Right angled |
| B. | Obtuse angled |
| C. | Acute angled |
| D. | Equal angled |
| Answer» B. Obtuse angled | |
| 148. |
In ΔABC, ∠C = 90°, Point P and Q are on the sides AC and BC, respectively, such that AP : PC = BQ : QC = 1 : 2 then, \(\frac{AQ^2+BP^2}{AB^2}\) is equal to: |
| A. | 4/9 |
| B. | 8/3 |
| C. | 4/3 |
| D. | 13/9 |
| Answer» E. | |
| 149. |
HELP is a parallelogram. Given that OE = 4 cm and HL is 5 cm more than PE, then OH is - |
| A. | 5 cm |
| B. | 6.5 cm |
| C. | 9 cm |
| D. | 13 cm |
| Answer» C. 9 cm | |
| 150. |
A chord in a circle subtends an angle of 60° at the centre of the circle. If the length of the chord is 10 cm. Then the area of the major segment is (Given π = 3.14 and √3 = 1.732) |
| A. | 335 cm2 |
| B. | 310 cm2 |
| C. | 295 cm2 |
| D. | 305 cm2 |
| Answer» E. | |