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.
| 3951. |
In the given figure, ABCD is a rhombus, then the value of x - y is |
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Answer» In the given figure, ABCD is a rhombus, then the value of x - y is |
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| 3952. |
Vardhman commenced business on 1st April, 2008, with a capital of ₹ 50,000. He immediately purchased furniture of ₹ 20,000. During the year he received from his uncle a gift of ₹ 3,000 and he borrowed from his father a sum of ₹ 5,000. He had withdrawn ₹ 600 per month for his household expenses. He had no Bank account and all dealings were in cash. He did not maintain any books but following information is given : ₹ Sales (including cash sales ₹ 30,000) 1,00,000 Purchases (including cash purchases ₹ 10,000) 75,000 Carriage inwards 700 Wages 300 Discount allowed to debtors 800 Salaries 6,200 Bad-Debts written off 1,500 Trade expenses 1,200 Advertisements 2,200 He used goods worth ₹ 1,300 for personal purposes and paid ₹ 500 to his son for examination and college fees.On 31st March, 2009, his Debtors were worth ₹ 21,000 and Creditors ₹ 15,000. Stock in trade was valued at ₹ 10,000. Furniture to be depreciated by 10% p.a.Prepare trading and Profit and Loss Account for the year ended on 31st March, 2009, and Balance Sheet as at 31st March, 2009. |
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Answer» Vardhman commenced business on 1st April, 2008, with a capital of ₹ 50,000. He immediately purchased furniture of ₹ 20,000. During the year he received from his uncle a gift of ₹ 3,000 and he borrowed from his father a sum of ₹ 5,000. He had withdrawn ₹ 600 per month for his household expenses. He had no Bank account and all dealings were in cash. He did not maintain any books but following information is given :
He used goods worth ₹ 1,300 for personal purposes and paid ₹ 500 to his son for examination and college fees. On 31st March, 2009, his Debtors were worth ₹ 21,000 and Creditors ₹ 15,000. Stock in trade was valued at ₹ 10,000. Furniture to be depreciated by 10% p.a. Prepare trading and Profit and Loss Account for the year ended on 31st March, 2009, and Balance Sheet as at 31st March, 2009. |
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| 3953. |
increasing a number by 100% is the same as A) MULTIPLYING IT TO THE NUMBER ITSELF B) MULTIPLYING THE NUMBER BY 2 C) ADDING 2 TO THE NUMBER D) ADDING 100 TO THE NUMBER |
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Answer» increasing a number by 100% is the same as A) MULTIPLYING IT TO THE NUMBER ITSELF B) MULTIPLYING THE NUMBER BY 2 C) ADDING 2 TO THE NUMBER D) ADDING 100 TO THE NUMBER |
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| 3954. |
A rectangular water tank of base 11m×6m contains water upto a height of 5 m. If the water in the tank is transferred to a cylindrical tank of radius 3.5 m, find the height of the water level in the tank. |
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Answer» A rectangular water tank of base 11m×6m contains water upto a height of 5 m. If the water in the tank is transferred to a cylindrical tank of radius 3.5 m, find the height of the water level in the tank. |
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| 3955. |
A solid iron cuboidal block of dimensions 4.4 m×2.6 m×1 m is recasted into a hollow cylindrical pipe of internal radius 30 cm and thickness 5 cm. The length of the pipe is ________. |
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Answer» A solid iron cuboidal block of dimensions 4.4 m×2.6 m×1 m is recasted into a hollow cylindrical pipe of internal radius 30 cm and thickness 5 cm. The length of the pipe is ________. |
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| 3956. |
22. In an acute angled triangle ABC the minimum value of tanA tanB tanC is |
| Answer» 22. In an acute angled triangle ABC the minimum value of tanA tanB tanC is | |
| 3957. |
if x+1/x=1 then x^2008+1/x^2008 |
| Answer» if x+1/x=1 then x^2008+1/x^2008 | |
| 3958. |
Look at this table. It classifies the days of the months of June, July and August according to the rainfall received in a locality. Rain (mm) Days 10 − 20 8 20 − 30 10 30 − 40 14 40 − 50 20 50 − 60 15 60 − 70 8 70 − 80 7 80 − 90 6 90 − 100 4 Draw a histogram for this data. |
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Answer» Look at this table. It classifies the days of the months of June, July and August according to the rainfall received in a locality.
Draw a histogram for this data.
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| 3959. |
The mean of 20 numbers is 18. If 3 is added to each of the first ten numbers, find the mean of the new set of 20 numbers. |
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Answer» The mean of 20 numbers is 18. If 3 is added to each of the first ten numbers, find the mean of the new set of 20 numbers. |
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| 3960. |
If, in a right angled triangle ABC, the hypotenuse AB = p, then AB . AC + BC . BA + CA . CB = |
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Answer» If, in a right angled triangle ABC, the hypotenuse AB = p, then AB . AC + BC . BA + CA . CB = |
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| 3961. |
Question 108(ii)Verify the property x×y=y×x of rational numbers by usingx=23 and y=94 |
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Answer» Question 108(ii) |
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| 3962. |
Question 80(v)This graph shows a map of an island just off the coast of a continent. The point labelled B represents a major city on the coast. The distance between grid lines represents 1 km.Point A represents a resorts that is located 5 km East and 3km North of point B. The values 5 and 3 are the coordinates of point A. The coordinates can be given as the ordered pair (5,3), where 5 is the horizontal coordinate and 3 is the vertical coordinate.Give the coordinates of the point that is halfway between points L and P. |
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Answer» Question 80(v) This graph shows a map of an island just off the coast of a continent. The point labelled B represents a major city on the coast. The distance between grid lines represents 1 km. ![]() Point A represents a resorts that is located 5 km East and 3km North of point B. The values 5 and 3 are the coordinates of point A. The coordinates can be given as the ordered pair (5,3), where 5 is the horizontal coordinate and 3 is the vertical coordinate. Give the coordinates of the point that is halfway between points L and P. |
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| 3963. |
Construct a right-angled triangle whose perimeter is equal to 10 cm and one acute angle equal to 60∘. |
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Answer» Construct a right-angled triangle whose perimeter is equal to 10 cm and one acute angle equal to 60∘. |
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| 3964. |
Answer the questions with the help of figure(i) State the points which are equidistant from point B.(ii) Write a pair of points equidistant from point Q.(iii) Find d (U,V), d(P,C), d(V,B), d(U,L). |
Answer» Answer the questions with the help of figure![]() (i) State the points which are equidistant from point B. (ii) Write a pair of points equidistant from point Q. (iii) Find d (U,V), d(P,C), d(V,B), d(U,L). |
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| 3965. |
In the adjoining figure,ABCD and BQSC are two parallelograms.Prove that ar(△ RSC)=ar(△ PQB). |
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Answer» In the adjoining figure,ABCD and BQSC are two parallelograms.Prove that ar(△ RSC)=ar(△ PQB).
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| 3966. |
The sum of the square of the reciprocal of zeroes of polynomial p[x] = x^2 -2x -8 is _____ |
| Answer» The sum of the square of the reciprocal of zeroes of polynomial p[x] = x^2 -2x -8 is _____ | |
| 3967. |
Find the area of rhombus in which each side is 15 cm and one of its diagonal is 24 cm? |
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Answer» Find the area of rhombus in which each side is 15 cm and one of its diagonal is 24 cm? |
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| 3968. |
In the given figure it is given that AB = CF, EF = BD and ∠AFE = ∠DBC. Then △AFE is congruent to △CBD by which criterion? |
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Answer» In the given figure it is given that AB = CF, EF = BD and ∠AFE = ∠DBC. Then △AFE is congruent to △CBD by which criterion?
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| 3969. |
The length of a minute hand of a wall clock is 10 cm. What is the area swept by it in 30 minutes. |
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Answer» The length of a minute hand of a wall clock is 10 cm. What is the area swept by it in 30 minutes. |
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| 3970. |
If the vertices of a triangle are (1,-3), (4, p) and (-9, 7) and its area is 15 sq.units, find the value(s) of p. |
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Answer» If the vertices of a triangle are (1,-3), (4, p) and (-9, 7) and its area is 15 sq.units, find the value(s) of p. |
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| 3971. |
Which of the following is a constant polynomial? |
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Answer» Which of the following is a constant polynomial? |
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| 3972. |
If the integers m and n are chosen at random between 1 and 100, then the probability that a number of the form 7m+7n is divisible by 5 equals. |
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Answer» If the integers m and n are chosen at random between 1 and 100, then the probability that a number of the form 7m+7n is divisible by 5 equals. |
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| 3973. |
Solve 3x + 2y = 36 5x + 4y = 64 |
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Answer» Solve 3x + 2y = 36 5x + 4y = 64 |
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| 3974. |
If A is the set of all xϵR such that x(log x)2−3 log x+1>1000, and A=(a,∞) then √10a will be ___. (Base of logx is 10). |
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Answer» If A is the set of all xϵR such that x(log x)2−3 log x+1>1000, and A=(a,∞) then √10a will be |
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| 3975. |
there are four lines in a plane , no two of which are parallel.the maximum number of points in which they can intersect is: a}4 b}5 c}6 d}7 IS THERE ANY PROOF OR FORMULA FOR THESE KIND OF QUESTIONS? |
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Answer» there are four lines in a plane , no two of which are parallel.the maximum number of points in which they can intersect is: a}4 b}5 c}6 d}7 IS THERE ANY PROOF OR FORMULA FOR THESE KIND OF QUESTIONS? |
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| 3976. |
Two circles of radii 5 cm and 3 cm intersect at two points and the distance between their centers is 4 cm. The length of the common chord is |
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Answer» Two circles of radii 5 cm and 3 cm intersect at two points and the distance between their centers is 4 cm. The length of the common chord is |
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| 3977. |
Two chords AB and CD of lengths 5cm and 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 6cm, find the radius of that circle. |
| Answer» Two chords AB and CD of lengths 5cm and 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 6cm, find the radius of that circle. | |
| 3978. |
The area of an isosceles triangle having base 2 cm and the length of one of the equal sides 4 cm, is(a) 15 cm2(b) 152 cm2(c) 215 cm2(d) 415 cm2 |
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Answer» The area of an isosceles triangle having base 2 cm and the length of one of the equal sides 4 cm, is (a) (b) (c) (d) |
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| 3979. |
Question 91The thickness of a hollow metallic cylinder is 2 cm. It is 70 cm long with outer radius of 14 cm. Find the volume of the metal used in making the cylinder, assuming that it is open at both the ends. Also, find its weight if the metal weighs 8 g per cm3. |
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Answer» Question 91 The thickness of a hollow metallic cylinder is 2 cm. It is 70 cm long with outer radius of 14 cm. Find the volume of the metal used in making the cylinder, assuming that it is open at both the ends. Also, find its weight if the metal weighs 8 g per cm3. |
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| 3980. |
An element crystallizes bothe in fcc and bcc lattices. If the density of the element in the two forms is the same, the ratio of unit cell volume of fcc to that of bcc lattice is: |
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Answer» An element crystallizes bothe in fcc and bcc lattices. If the density of the element in the two forms is the same, the ratio of unit cell volume of fcc to that of bcc lattice is: |
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| 3981. |
Question 76Change the statements, converting expressions into statements in ordinary language:Leela contributed Rs. y towards the prime minister's relief fund. Leela is now left with Rs. (y + 10000). |
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Answer» Question 76 Change the statements, converting expressions into statements in ordinary language: Leela contributed Rs. y towards the prime minister's relief fund. Leela is now left with Rs. (y + 10000). |
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| 3982. |
Write the five first terms of the sequence, whose nth term is an=(−1)n−15n+1. |
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Answer» Write the five first terms of the sequence, whose nth term is an=(−1)n−15n+1. |
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| 3983. |
The value of x that satisfies |x−1|=|x−3| is |
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Answer» The value of x that satisfies |x−1|=|x−3| is |
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| 3984. |
x+12x−6=34⇒ 4 × =3 × |
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Answer» x+12x−6=34 ⇒ 4 × |
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| 3985. |
(X+1)³+(X-1)³ is equal to |
| Answer» (X+1)³+(X-1)³ is equal to | |
| 3986. |
510+n × 253n−457n = ___ |
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Answer» |
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| 3987. |
Use suitable identities to find the following product: (x + 8) (x – 10) |
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Answer» Use suitable identities to find the following product: (x + 8) (x – 10) |
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| 3988. |
Question 3 Write ‘True’ or ‘False’ and justify your answer in each of the following: The value of the expression, (sin80∘−cos80∘) is negative. |
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Answer» Question 3 Write ‘True’ or ‘False’ and justify your answer in each of the following: The value of the expression, (sin80∘−cos80∘) is negative. |
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| 3989. |
Value of log6216 is |
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Answer» Value of log6216 is |
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| 3990. |
The perimeter of a triangular field is 240 dm. If two of its sides are 78 cm and 50 dm, find the length of the perpendicular on the side of length 50 dm from the opposite vertex. |
| Answer» The perimeter of a triangular field is 240 dm. If two of its sides are 78 cm and 50 dm, find the length of the perpendicular on the side of length 50 dm from the opposite vertex. | |
| 3991. |
Show that:(i) x + 3 is a factor of 69+11x–x2+x3.(ii) 2x – 3 is a factor of x+2x3–9x2+12. |
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Answer» Show that: (i) x + 3 is a factor of 69+11x–x2+x3. (ii) 2x – 3 is a factor of x+2x3–9x2+12. |
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| 3992. |
A hollow iron pipe 10 cm long has exterior radius equal to 14 cm. If the thickness of the pipe is 4 cm, then the total surface area of the pipe is |
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Answer» A hollow iron pipe 10 cm long has exterior radius equal to 14 cm. If the thickness of the pipe is 4 cm, then the total surface area of the pipe is |
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| 3993. |
The height of a cone is 15 cm. If its volume is 1570 cm3, find the diameter of its base. [Use π = 3.14] |
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Answer» The height of a cone is 15 cm. If its volume is 1570 cm3, find the diameter of its base. [Use π = 3.14] |
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| 3994. |
Fill in the correct entries with respect to the properties asked. AD, BE and CF are perpendicular to the sides BC, CA and AB respectively. Let 2 s = AB + BC + CA. Area of △ABC = 12×___×AB Area of △ABC = 12×BC×___ Area of △ABC = √___(s−AB)(s−CA)(s−BC) |
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Answer» Fill in the correct entries with respect to the properties asked. AD, BE and CF are perpendicular to the sides BC, CA and AB respectively. Let 2 s = AB + BC + CA. |
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| 3995. |
Which of the following fraction is recurring decimal? |
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Answer» Which of the following fraction is recurring decimal? |
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| 3996. |
The number of zeroes of a polynomial represented in the given graph is _______.3 |
Answer» ![]() The number of zeroes of a polynomial represented in the given graph is _______.
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| 3997. |
Given that y = -6x + 1 and -3 < x < 23. Then y lies in which of the following intervals. |
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Answer» Given that y = -6x + 1 and -3 < x < 23. Then y lies in which of the following intervals. |
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| 3998. |
In a triangle, an exterior angle at a vertex is 95∘ and its one of the interior opposite angle is 55∘ then the measure of the other interior angle is |
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Answer» In a triangle, an exterior angle at a vertex is 95∘ and its one of the interior opposite angle is 55∘ then the measure of the other interior angle is
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| 3999. |
Write the coordinate of the point lying on x-axis and with x-coordinate 4 |
| Answer» Write the coordinate of the point lying on x-axis and with x-coordinate 4 | |
| 4000. |
Question 7D and E are points on sides AB and AC respectively of ΔABC such that ar (DBC) = ar (EBC). Prove that DE || BC. |
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Answer» Question 7 D and E are points on sides AB and AC respectively of ΔABC such that ar (DBC) = ar (EBC). Prove that DE || BC. |
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