Question for Sainik School Admission Class IX - Quiz / Questions / MCQ in English

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Latest Sainik School Admission Class IX Exam Question (Objective Questions), MCQ in English

Subjects : Mathematics, English, Intelligence, Social Studies, General Science

Question Bank Sainik School Class IX Exam - English

Mathematics

Q 1 :

In a ||gm ABCD, if P and Q are midpoints of AB and CD respectively and ar(||gm ABCD) = 16cm2, then ar(||gm APQD) = ? 
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1. A.8cm²
2. B.12cm²
3. C.6cm²
4. D.9cm²

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Q 2 :

ABCD is quadrilateral whose diagonal AC divides it into two parts, equal in area, then ABCD .

1. A.Is a rectangles.
2. B.Is a rhombus.
3. C.Is a parallelogram.
4. D.Need not be any of (a), (b) or (c).

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Q 3 :

. In which of the following figures, you find two polygons on the same base and between the same parallels ?

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Q 4 :

ABCD is a trapezium with parallel sides AB = a cm and DC = b cm. E and F are the mid-points of the non-parallel sides. The ratio of ar (ABFE) to ar (EFCD) is :
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1. A.(3a + b) : (a + 3b)
2. B.(2a + b) : (3a + b)
3. C.a : b
4. D.(a + 3b) : (3a + b)

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Q 5 :

ABCD is a parallelogram in which DC is produced to P such that DC = CP. AP intersects BC at Q. If ar(â–³BQD) = 3cm2, then ar(||ABCD) is :
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1. A.9cm²
2. B.6cm²
3. C.15cm²
4. D.12cm²

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Q 6 :

In figure, ABCD is a parallelogram. If AB = 12cm, AE = 7.5cm, CF = 15cm, then AD =
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1. A.3cm
2. B.6cm
3. C.8cm
4. D.10.5cm

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Q 7 :

. Given below are the measurements of a parallelogram. Find the missing measurement. Area = 90 square cm, Base = 5cm, Height = ?

1. A.450cm
2. B.15cm
3. C.18cm
4. D.85cm

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Q 8 :

PQRS is a trapezium with PQ || SR. A line parallel to PR intersects PQ at X and QR at Y. If ar(â–³PYR) 5cm2,then ar(â–³PXS) is :
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1. A.5cm²
2. B.2.5cm²
3. C.10cm²
4. D.7.5cm²

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Q 9 :

A triangle has an area of 45 square foot. Base of the triangle is 9 foot. What is corresponding height of triangle .

1. A.40 square foot
2. B.5 foot
3. C.10 feet
4. D.90 foot

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Q 10 :

The area of ||gm ABCD is :
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1. A.AB × BM
2. B.BC × BN
3. C.DC × DL
4. D.AD × DL

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Q 11 :

AP || BQ || CR if ar(â–³AQC) = 17cm2, then ar(â–³PBR) is :
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1. A.8.5cm²
2. B.34cm²
3. C.17cm²
4. D.25.5cm²

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Q 12 :

In the given figure, ABCD is a rectangle inscribed in a quadrant of a circle of radius 10cm. If AD = 2√5cm then area of the rectangle is :
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1. A.32cm²
2. B.40cm²
3. C.44cm²
4. D.48cm²

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Q 13 :

In given figure ABCD and AGEF are parallelograms. If ar(|| AGEF) = 27cm2, then ar(â–³ADG) + ar(â–³GCB) is :
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1. A.9cm²
2. B.27cm²
3. C.18cm²
4. D.13.5cm²

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Q 14 :

In a â–³ABC if D and E are mid-points of BC and AD respectively such that ar(â–³AEC) = 4cm2, then ar(â–³BEC) =

1. A.4cm²
2. B.6cm²
3. C.8cm²
4. D.12cm²

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Q 15 :

The midpoints of the sides of a triangle along with any of the vertices as the fourth point makes a parallelogram of area equal to .
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1. A.1/2 (arâ–³ABC)
2. B.1/2 (arâ–³ABC)
3. C.1/2 (arâ–³ABC)
4. D.(arâ–³ABC)

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Q 16 :

The median of triangle divides it into two :

1. A.Isosceles triangles
2. B.Right triangles.
3. C.Congruent triangles.
4. D.Triangles of equal area

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Q 17 :

ABCD, ABEF and AGHF are parallelograms. If ar(ABCD) = 23cm2, then ar(FGH) is :
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1. A.12cm²
2. B.11.5cm²
3. C.23cm²
4. D.12.5cm²

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Q 18 :

In the given figure ABCD is a parallelogram and its area is 64cm2. If P is any point in the interior of ||ABCD, then ar(â–³APD) + ar(â–³PBC) is equal to :
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1. A.64cm²
2. B.32cm^₂
3. C.16cm²
4. D.48cm²

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Q 19 :

In the figure, parallelogram ABEF and rectangle ABCD have the same base AB and equal area. If AB = x, BC = y and BE = z, then .
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1. A. x + y = x + z
2. B.x + y < x + z
3. C.x + z < x + y
4. D.2(x + y) > 2(x + z)

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Q 20 :

Out of the following given figures which are on the same base but not between the same parallels ?
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Q 21 :

In the figure, PQRS is a parallelogram, PM⊥RS and RN⊥PS. If PQ = 12cm, PM = 6cm and RN = 8cm, then the length of PS is equal to :
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1. A.12cm
2. B.9cm
3. C.4cm
4. D.18cm

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Q 22 :

In the given figure, a ||gm ABCD and a rectangle ABEF are of equal area. Then, 
​ 

1. A. Perimeter of ABCD = perimeter of ABEF
2. B.Perimeter of ABCD < perimeter of ABEF 
3. C.Perimeter of ABCD > perimeter of ABEF
4. D.4. Perimeter of ABCD = 1/2 (perimeter of ABEF)

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Q 23 :

The area of a rhombus is equal to of the product of its two diagonals .

1. A.1/3
2. B.1/4
3. C.1/2
4. D. None

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Q 24 :

Which of the following is a false statement ?

1. A.1. If the diagonals of a rhombus are 18cm and 14cm, then its area is 126cm²
2. B.Area of a ||gm = 3/2 × base × corresponding height.
3. C. A parallelogram and a rectangle on the same base and between the same parallels are equal in area.
4. D. If the area of a ||gm with one side 24cm and corresponding height h cm is 192cm2, then h = 8cm.

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Q 25 :

If a triangle and a Parallelogram are on the same base and between the same parallel, the area of the triangle is equal to that of ||gram .

1. A.1/4
2. B.1/2
3. C.None of these
4. D.1/3

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Q 26 :

Write the correct answer of the following: If a triangle and a parallelogram are on the same base and between same parallels, then the ratio of the area of the triangle to the area of parallelogram is :

1. A.1 : 3
2. B.1 : 2
3. C.3 : 1
4. D.1 : 4

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Q 27 :

In the figure, the area of parallelogram ABCD is :
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1. A.AD × DL
2. B.BC × BN
3. C.AB × BM
4. D.DC × DL

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Q 28 :

ABCD is a rectangle with O as any point in its interior. If ar(â–³AOD) = 3cm2 and ar(â–³BOC) = 6cm2, then area of rectangle ABCD is :

1. A.12cm²
2. B.15cm²
3. C.18cm²
4. D.9cm²

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Q 29 :

In the figure, ABCD is a parallelogram and EFCD is rectangle. Now which of the following is correct option ?
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1. A.Ar(||ADCF) = ar(rect. ABCD)
2. B.Ar(||ABCD) = ar(rect. EFCD)
3. C.None of these
4. D.Ar(||ADCF) = ar(rect. EFCD)

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Q 30 :

D and E are mid-points of BC and AD respectively. If ar(â–³ABC) = 10cm2, then ar(â–³EBC) is :
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1. A.10cm²
2. B.7.5cm²
3. C.2.5cm²
4. D.5cm²

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Q 31 :

ABCD is a quadrilateral whose diagonal AC divides it into two parts, equal in area, then ABCD is :

1. A.All of these
2. B.A rectangle
3. C.A ||gm
4. D.A rhombus

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Q 32 :

In the given figure if AD || BC, then the triangle which is equal in area to â–³COD is :
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1. A.â–³BOA
2. B.â–³COB
3. C.â–³AOD
4. D.â–³ADC

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Q 33 :

In the given figure, ABCD is a parallelogram. If ar(â–³BAP) = 10cm2 and ar(â–³CPD) = 30cm2, then ar(||ABCD) is :
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1. A.100cm²
2. B.80cm²
3. C.60cm²
4. D.40cm²

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Q 34 :

The diagonals of a rhombus measure 4cm and 6cm respectively. Its area in sq. cm is :

1. A.6 sq. cm
2. B.8 sq. cm
3. C.12 sq. cm
4. D.24 sq. cm

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Q 35 :

In which of the following figures, you find polynomials on the same base and between the same parallels ?
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Q 36 :

ABCD is a parallelogram formed by drawing lines parallel to diagonals of quadrilateral PQRS through its vertices. If ar(quad PQRS) = 15cm2, then ar(||ABCD) is :
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1. A.40cm²
2. B.40cm²
3. C.30cm²
4. D.25cm²

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Q 37 :

ABCD is a trapezium in which AB || DC. If ar(â–³ABD) = 24cm2 and AB = 8cm, then the height of â–³ABC is :
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1. A.4cm
2. B.6cm
3. C.3cm
4. D.8cm

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Q 38 :

ABCD is a trapezium in which AB || DC. A line through A parallel to BC meets diagonal BD at P. If ar(â–³BPC) = 5cm2, then ar(â–³ABD) is :
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1. A.5cm²
2. B.10cm²
3. C.2.5cm²
4. D.7.5cm²

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Q 39 :

. In a quadrilateral ABCD, it is given that BD = 16cm. If AL ⊥ BD and CM ⊥ BD such that AL = 9cm and CM = 7cm, then ar(quadrilateral ABCD) = ?
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1. A.256cm²
2. B.128cm²
3. C.64cm²
4. D.96cm²

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Q 40 :

In â–³ABC, it is given that D is the midpoint of BC; E is the midpoint of BD and O is the midpoint of AE. Then, ar(â–³BOE) = ?
​ 

1. A.1/3 ar(â–³ABC)
2. B.1/4 ar(â–³ABC)
3. C.1/6 ar(â–³ABC)
4. D.1/8 ar(â–³ABC)

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Q 41 :

Find the area of ||gm, if base = 8cm and altitude = 10cm .

1. A.50 sq. cm
2. B.80cm
3. C.30 sq. cm
4. D.80 sq. cm

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Q 42 :

If the sum of the parallel sides of a trapezium is cm and distance between them is 4cm, then area of the trapezium is :

1. A.7cm²
2. B.21cm²
3. C.14cm²
4. D.28cm²

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Q 43 :

The area of trapezium ABCD in the given figure is :
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1. A.62cm²
2. B.93cm²
3. C.124cm²
4. D.155cm2^​

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Q 44 :

ABCD is a square. DEGH is a rectangle. Two equal parallelograms on the base DE are :
​ 

1. A.ABCD, HDEG
2. B.DEGC, DEFH
3. C.DEGH, DEFC
4. D.DCFE, DCBA

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Q 45 :

In â–³ABC, if D is the midpoint of BC and E is the mid-point of AD, then ar(â–³BED) = ?
​ 

1. A.2/3 ar(â–³ABC)
2. B.1/2 ar(â–³ABC)
3. C.1/3 ar(â–³ABC)
4. D.1/4 ar(â–³ABC)

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Q 46 :

If the sum of the parallel sides of a trapezium is 7cm and distance between them is 4cm, then area of the trapezium is :

1. A.14cm²
2. B.21cm²
3. C.28cm²
4. D.7cm²

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Q 47 :

The area of the parallelogram ABCD in the figure is :
​ 

1. A.12cm²
2. B.10cm²
3. C.9cm²
4. D.15cm²

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Q 48 :

ABCD is a trapezium in which AB || DC. If ar(â–³ABD) = 24cm2 and AB = 8cm, then the height of â–³ABC is :

1. A.3cm
2. B.4cm
3. C.6cm
4. D.8cm

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Q 49 :

In Fig, if parallelogram ABCD and rectangle ABEM are of equal area, then :
​ 

1. A.Perimeter of ABCD =1/2 (Perimeter of ABEM)
2. B.Perimeter of ABCD = Perimeter of ABEM
3. C.Perimeter of ABCD < Perimeter of ABEM
4. D.Perimeter of ABCD > Perimeter of ABEM

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Q 50 :

Two adjacent sides of a parallelogram are 24cm and 18cm. If the distance between the longer sides is 12cm, then the distance between the shorter sides is :

1. A.16cm
2. B.9cm
3. C.18m
4. D.None of these

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