This section includes InterviewSolutions, each offering curated multiple-choice questions to sharpen your knowledge and support exam preparation. Choose a topic below to get started.
| 5301. |
A kite in the shape of a square with a diagonal 32cm and an isosceles triangles of base 8cm and sides 6cm each is to be made of three different shades as shown in the given figure. How much paper of each shade has been used in it? |
Answer» A kite in the shape of a square with a diagonal 32cm and an isosceles triangles of base 8cm and sides 6cm each is to be made of three different shades as shown in the given figure. How much paper of each shade has been used in it?
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| 5302. |
Tan theta + sec theta =1.5 'then sin theta = |
| Answer» Tan theta + sec theta =1.5 'then sin theta = | |
| 5303. |
Two chords AB and CD of lengths 5 cm 11cm respectively of a circle are parallel to each other and are on opposite sides of its centre. If the distance between AB and CD is 6 cm, find the radius of the circle. |
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Answer» Two chords AB and CD of lengths 5 cm 11cm respectively of a circle are parallel to each other and are on opposite sides of its centre. If the distance between AB and CD is 6 cm, find the radius of the circle. |
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| 5304. |
The function : R→[−12,12] defined as f(x)=x1+x2 is |
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Answer» The function : R→[−12,12] defined as f(x)=x1+x2 is |
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| 5305. |
Choose the correct option:The coordinates of a point P in a system are (5, 8). The coordinates of the same point in the system are ____________.A. (−8, 5)B. (8, 5)C. (8, −5)D. (−8, −5) |
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Answer» Choose the correct option: The coordinates of a point P in a system A. (−8, 5) B. (8, 5) C. (8, −5) D. (−8, −5) |
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| 5306. |
The measure of angle a in the figure below is : |
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Answer» The measure of angle a in the figure below is :
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| 5307. |
The expression x4 + 4 can be factorized as(a) (x2 + 2x + 2) (x2 − 2x + 2)(b) (x2 + 2x + 2) (x2 + 2x + 2)(c) (x2 − 2x − 2) (x2 − 2x + 2)(d) (x2 + 2) (x2 − 2) |
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Answer» The expression x4 + 4 can be factorized as (a) (x2 + 2x + 2) (x2 − 2x + 2) (b) (x2 + 2x + 2) (x2 + 2x + 2) (c) (x2 − 2x − 2) (x2 − 2x + 2) (d) (x2 + 2) (x2 − 2) |
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| 5308. |
Question 11ABC and ADC are two right triangles with common hypotenuse AC. Prove that ∠CAD=∠CBD. |
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Answer» Question 11 ABC and ADC are two right triangles with common hypotenuse AC. Prove that ∠CAD=∠CBD. |
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| 5309. |
The solid angle subtended a spherical section of an area 3cm^2 at the centre of curvature situated symmetrically at a dis†an ce of 7cm from the area is (1)0.06 steradian (2)0.04 steradian (3)0.03 steradian (4)0.02steradian |
| Answer» The solid angle subtended a spherical section of an area 3cm^2 at the centre of curvature situated symmetrically at a dis†an ce of 7cm from the area is (1)0.06 steradian (2)0.04 steradian (3)0.03 steradian (4)0.02steradian | |
| 5310. |
Draw a line, 6 centimetres long and divide it in the ratio 2 : 3 : 4. |
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Answer» Draw a line, 6 centimetres long and divide it in the ratio 2 : 3 : 4.
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| 5311. |
A cubical box of side 2 m has a circular hole of radius 0.7 m on each of its four walls. Find the cost of painting the box at Rs. 10 per m2. |
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Answer» A cubical box of side 2 m has a circular hole of radius 0.7 m on each of its four walls. Find the cost of painting the box at Rs. 10 per m2. |
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| 5312. |
If X and Y are two sets and X′ denotes the complement of X, then find the value of X∩(X∪Y)′. |
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Answer» If X and Y are two sets and X′ denotes the complement of X, then find the value of X∩(X∪Y)′. |
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| 5313. |
ABCD is a parallelogram in which ∠A=70∘. Compute ∠B,∠C, and ∠D. |
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Answer» ABCD is a parallelogram in which ∠A=70∘. Compute ∠B,∠C, and ∠D. |
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| 5314. |
The vector w with intial point (a,b,c) and final point (a+1,b+2,c+3) is : |
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Answer» The vector w with intial point (a,b,c) and final point (a+1,b+2,c+3) is : |
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| 5315. |
Question 5(g) Find the product, using suitable properties: (−17)×(−29) |
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Answer» Question 5(g) |
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| 5316. |
The mean weight of 8 numbers is 15.If each number is multiplied by 2, what will be the new mean ? |
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Answer» The mean weight of 8 numbers is 15.If each number is multiplied by 2, what will be the new mean ? |
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| 5317. |
2-√8 |
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Answer» 2-√8 |
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| 5318. |
Directions:- Study the following information carefully to answer the question given below. Twelve people are sitting in two parallel rows containing six people each, in such a way that there is an equal distance between adjacent persons. In row-1 P, Q, R, S, T and V are seated and all of them are facing South. In row-2 A, B, C, D, E and F are seated and all of them are facing North. Therefore, in the given sitting arrangement each member seated in a row faces another member of the other row. S sits third to the right of Q. Either S or Q sits at an extreme end of the line. The one who faces Q sits second to the right of E. Two people sit between B and F. Neither B nor F sits at the extreme end of the line. The immediate neighbour of B faces the person who sits third to the left of P. R and T are immediate neighbours of each other. C sits second to the left of A. T does not face the immediate neighbour of D. Four of the following five are alike in a certain way based on the given arrangement and so form a group. Which is the one that does not belong to that group? |
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Answer» Directions:- Study the following information carefully to answer the question given below. |
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| 5319. |
Write True or False: Give reasons for your answers.(i) Line segment joining the centre to any point on the circle is a radius of the circle.(ii) A circle has only finite number of equal chords.(iii) If a circle is divided into three equal arcs, each is a major arc.(iv) A chord of a circle, which is twice as long as its radius, is a diameter of the circle.(v) Sector is the region between the chord and its corresponding arc.(vi) A circle is a plane figure. |
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Answer» Write True or False: Give reasons for your answers. (i) Line segment joining the centre to any point on the circle is a radius of the circle. (ii) A circle has only finite number of equal chords. (iii) If a circle is divided into three equal arcs, each is a major arc. (iv) A chord of a circle, which is twice as long as its radius, is a diameter of the circle. (v) Sector is the region between the chord and its corresponding arc. (vi) A circle is a plane figure. |
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| 5320. |
Plot the points (3, 4), (−3,−3), (−7, 6) and (0, −6) on Cartesian plane and give their positions in quadrants / axes. |
| Answer» Plot the points (3, 4), (−3,−3), (−7, 6) and (0, −6) on Cartesian plane and give their positions in quadrants / axes. | |
| 5321. |
Question 91 (xi)Factorise the following:y2+7y+12 |
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Answer» Question 91 (xi) Factorise the following: y2+7y+12 |
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| 5322. |
If a is any positive integer and b=4, applying Euclid’s division lemma (a=bq+r), which of the following represents an odd number? |
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Answer» If a is any positive integer and b=4, applying Euclid’s division lemma (a=bq+r), which of the following represents an odd number? |
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| 5323. |
Factorise:x2 – 26x + 133 |
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Answer» Factorise: x2 – 26x + 133 |
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| 5324. |
How many seconds are there in one hour? |
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Answer» How many seconds are there in one hour? |
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| 5325. |
Show an Accounting Equation on the basis of the following transactions: ₹ (i) Sunil started business with cash 1,50,000 (ii) Opened a Bank Account by depositing ₹ 25,000 out of cash (iii) He sold his personal car for ₹ 50,000 and deposited the amount in the firm's Bank Account (iv) He purchased a building and furniture for 1,00,000 (v) He purchased goods from Ram on credit 50,000 (vi) He paid cartage 500 (vii) He sold to Shyam on credit goods costing ₹ 6,000 for 9,000 (viii) Received rent from tenants 1,000 (ix) Received security deposit from tenants 1,500 (x) Purchased stationery for cash 100 (xi) Invested in shares (personal) 50,000 (xii) Received interest in cash 200 (xiii) Introduced fresh capital 25,000 (xiv) Goods destroyed by fire 500 |
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Answer» Show an Accounting Equation on the basis of the following transactions:
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| 5326. |
2(2x-5y) (3x+4y)-6(2x-5y) (x-y) Factorise by taking out the common factors |
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Answer» 2(2x-5y) (3x+4y)-6(2x-5y) (x-y) Factorise by taking out the common factors |
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| 5327. |
Draw a triangle of sides 3, 4 and 6 centimetres. Draw three different right triangle of the same area . |
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Answer» Draw a triangle of sides 3, 4 and 6 centimetres. Draw three different right triangle of the same area . |
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| 5328. |
The marks obtained by 10 students in a class are as follows, what is the probability that the average mark obtained by a student in the class is less than 70?(in decimals) StudentEnglishHindiMathematicsScience1877890892906876783796859614716779575699186766878567607789089938927688909778185861086759389 ___ |
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Answer» The marks obtained by 10 students in a class are as follows, what is the probability that the average mark obtained by a student in the class is less than 70?(in decimals) StudentEnglishHindiMathematicsScience1877890892906876783796859614716779575699186766878567607789089938927688909778185861086759389 |
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| 5329. |
Question 2A(6,1) B(8,2) and C(9,4) are three vertices of a parallelogram ABCD. If E is the mid-point of DC, then find the area of Δ ADE. |
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Answer» Question 2 |
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| 5330. |
Twice the sum of 5 consecutive odd numbers and thrice the sum of 4 consecutive even numbers is 178. Thrice the sum of 5 consecutive odd numbers and twice the sum of 4 consecutive even numbers is 177. Find the smallest even number. |
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Answer» Twice the sum of 5 consecutive odd numbers and thrice the sum of 4 consecutive even numbers is 178. Thrice the sum of 5 consecutive odd numbers and twice the sum of 4 consecutive even numbers is 177. Find the smallest even number. |
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| 5331. |
In a histogram , the number of parts is called as ___________ and the range of the parts is called __________ |
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Answer» In a histogram , the number of parts is called as ___________ and the range of the parts is called __________ |
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| 5332. |
Plot the given points on a graph sheet and check if the points lie on a straight line. If not, name the shape they form when joined in the given order.(1,2), (2,4), (3,6), (4,8) |
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Answer» Plot the given points on a graph sheet and check if the points lie on a straight line. If not, name the shape they form when joined in the given order. (1,2), (2,4), (3,6), (4,8) |
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| 5333. |
Some autorikshaws and bikes are parked in a place. There are 19 in all. The total number of wheels is 45. How many of each vehicle are there? |
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Answer» Some autorikshaws and bikes are parked in a place. There are 19 in all. The total number of wheels is 45. How many of each vehicle are there? |
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| 5334. |
The wall of a house has a height of 21 m and depth of 4 m. The height of the wall above the surface is m. |
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Answer» The wall of a house has a height of 21 m and depth of 4 m. The height of the wall above the surface is |
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| 5335. |
Two dice are rolled simultaneously. The probability that they show different faces is(a) 23(b) 16(c) 13(d) 56 |
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Answer» Two dice are rolled simultaneously. The probability that they show different faces is (a) (b) (c) (d) |
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| 5336. |
Factorise:x2+1235x+135 |
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Answer» Factorise: |
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| 5337. |
In a Δ ABC, ∠ABC = ∠ACB and the bisectors of ∠ABC and ∠ACB intersect at O such that ∠BOC = 120°. Show that ∠A =∠B =∠C = 60°. |
| Answer» In a Δ ABC, ∠ABC = ∠ACB and the bisectors of ∠ABC and ∠ACB intersect at O such that ∠BOC = 120°. Show that ∠A =∠B =∠C = 60°. | |
| 5338. |
Using Pythagoras theorem determine the length of AD in terms of b and c shown in the given figure. |
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Answer» Using Pythagoras theorem determine the length of AD in terms of b and c shown in the given figure.
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| 5339. |
If the volume of a right circular cone of height 18 cm is 96 π cm3,then find the diameter of its base(in cm). ___ |
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Answer» If the volume of a right circular cone of height 18 cm is 96 π cm3,then find the diameter of its base(in cm). |
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| 5340. |
Factors of a2−b+ab−a are |
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Answer» Factors of a2−b+ab−a are |
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| 5341. |
If the radius of a circle gets doubled, its diameter gets |
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Answer» If the radius of a circle gets doubled, its diameter gets |
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| 5342. |
Show that 2+√2 is not a rational number. |
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Answer» Show that 2+√2 is not a rational number. |
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| 5343. |
Question 97 In the morning, a milkman filled 512 L of milk in his can. He sold to Renu, Kamla and Renuka 34 L each: to Sharma, he sold 78 L; And to Jassi, he gave 1 12 How much milk is left in the can?. |
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Answer» Question 97 In the morning, a milkman filled 512 L of milk in his can. He sold to Renu, Kamla and Renuka 34 L each: to Sharma, he sold 78 L; And to Jassi, he gave 1 12 How much milk is left in the can?. |
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| 5344. |
A wire of length 15 cm is bent to form an arc of a circle with radius 6 cm. Find in radians the angle subtended at the centre. |
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Answer» A wire of length 15 cm is bent to form an arc of a circle with radius 6 cm. Find in radians the angle subtended at the centre. |
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| 5345. |
In a circle with centre P, chord AB is drawn of length 13 cm, seg PQ ⊥ chord AB, then find l(QB). |
Answer» In a circle with centre P, chord AB is drawn of length 13 cm, seg PQ ⊥ chord AB, then find l(QB).
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| 5346. |
Question 1The angle of quadrilateral are in the ratio 3 : 5 : 9 :13. Find the all the angles of the quadrilateral. |
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Answer» Question 1 The angle of quadrilateral are in the ratio 3 : 5 : 9 :13. Find the all the angles of the quadrilateral. |
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| 5347. |
Find the values of a and b so that(x-1) and (x+1) are the factors of x4+ax3-3x2+2x+b |
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Answer» Find the values of a and b so that(x-1) and (x+1) are the factors of x4+ax3-3x2+2x+b |
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| 5348. |
If A=[100−1] and B=[0110], find AB and BA. Prove that AB≠BA. |
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Answer» If A=[100−1] and B=[0110], find AB and BA. Prove that AB≠BA. |
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| 5349. |
AB and PQ are two equal chords of a circle. If the length of minor arc and major arc formed by AB is 24cm and 64cm, respectively, then find the length of minor and major arc formed by PQ. |
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Answer» AB and PQ are two equal chords of a circle. If the length of minor arc and major arc formed by AB is 24cm and 64cm, respectively, then find the length of minor and major arc formed by PQ. |
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| 5350. |
If S is the set of all the real X such that 2x - 1 by 2 x cube + 3 X square + X is positive then S contains |
| Answer» If S is the set of all the real X such that 2x - 1 by 2 x cube + 3 X square + X is positive then S contains | |