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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.
| 5201. |
Question 8 Two sides of a triangle are of length 5 cm and 1.5 cm. The length of the third side of the triangle cannot be (A) 3.6 cm (B) 4.1 cm (C) 3.8 cm (D) 3.4 cm |
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Answer» Question 8 Two sides of a triangle are of length 5 cm and 1.5 cm. The length of the third side of the triangle cannot be (A) 3.6 cm (B) 4.1 cm (C) 3.8 cm (D) 3.4 cm |
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| 5202. |
Write the expanded form of 529.183. |
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Answer» Write the expanded form of 529.183. |
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| 5203. |
Find the remainder when x3 + 3x2 + 3x + 1 is divided by(i) x + 1 (ii) (iii) x(iv) x + π (v) 5 + 2x |
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Answer» Find the remainder when x3 + 3x2 + 3x + 1 is divided by (i) x + 1 (ii) (iv) x + π (v) 5 + 2x |
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| 5204. |
Find the value of a And b,if the line 5bx-3ay=30 passes through (-1,0) and (0,-3) |
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Answer» Find the value of a And b,if the line 5bx-3ay=30 passes through (-1,0) and (0,-3) |
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| 5205. |
In the following equations find which variables x, y, z, etc., represent rational or irrationalnumbers. (iv) u2=174 |
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Answer» In the following equations find which variables x, y, z, etc., represent rational or irrational numbers. (iv) u2=174 |
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| 5206. |
17.A ball of silver 4cm is covered with gold. If the volume of gold & silver are equal , then the thickness of gold is A) 2cm B)1.038 cm C)0.519cm D) 0.5038cm |
| Answer» 17.A ball of silver 4cm is covered with gold. If the volume of gold & silver are equal , then the thickness of gold is A) 2cm B)1.038 cm C)0.519cm D) 0.5038cm | |
| 5207. |
IF 3x - 1 IS A FACTOR OF THE POLYNOMIAL 6x ^2 + x -1 , THEN FIND THE OTHER FACTOR. |
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Answer» IF 3x - 1 IS A FACTOR OF THE POLYNOMIAL 6x ^2 + x -1 , THEN FIND THE OTHER FACTOR. |
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| 5208. |
Show that (x+4),(x−3) and (x−7) are factors of x3−6x2−19x+84 |
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Answer» Show that (x+4),(x−3) and (x−7) are factors of x3−6x2−19x+84 |
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| 5209. |
Choose the right answers from the options given for each of the following questions.If the average of the numbers 33, 34, 35, x , 37, 38, 39 is 36, what is the value of x ?(i) 40(ii) 32(iii) 42(iv) 36 |
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Answer» Choose the right answers from the options given for each of the following questions. If the average of the numbers 33, 34, 35, x , 37, 38, 39 is 36, what is the value of x ? (i) 40 (ii) 32 (iii) 42 (iv) 36 |
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| 5210. |
Draw the perpendicular bisector of ¯¯¯¯¯¯¯¯¯XY whose length is 10.3 cmTake any point P on the bisector drawn. Examine whether PX = PY. |
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Answer» Draw the perpendicular bisector of ¯¯¯¯¯¯¯¯¯XY whose length is 10.3 cm Take any point P on the bisector drawn. Examine whether PX = PY. |
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| 5211. |
The graph of the linear equation: 2x + 3y = 6, cuts the x-axis at the point _______. |
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Answer» The graph of the linear equation: 2x + 3y = 6, cuts the x-axis at the point _______. |
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| 5212. |
In the adjoining figure, what is the value of y? (a) 36 (b) 54 (c) 63 (d) 72 |
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Answer» In the adjoining figure, what is the value of y? |
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| 5213. |
Write converses of the following statements.(i) The alternate angles formed by two parallel lines and their transversal are congruent.(ii) If a pair of the interior angles made by a transversal of two lines are supplementary then the lines are parallel.(iii) The diagonals of a rectangle are congruent. |
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Answer» Write converses of the following statements. (i) The alternate angles formed by two parallel lines and their transversal are congruent. (ii) If a pair of the interior angles made by a transversal of two lines are supplementary then the lines are parallel. (iii) The diagonals of a rectangle are congruent.
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| 5214. |
On 31st March, 2019, Cash Book of Mahesh showed debit bank balance of ₹ 75,000. When compared with the Bank Statement, following facts were discovered. On 30th March, two cheques of ₹ 5,000 and ₹ 7,000 were deposited in the bank but were not realised till date. On 28th March, three cheques of ₹ 6,000, ₹ 8,000 and ₹ 12,000 were issued but none of these were presented to the bank for payment. On 31st March, bank credited ₹ 1,250 as interest but this was not recorded in the Cash Book. Similarly, the bank had charged ₹ 150 as bank charges but this was not recorded in the Cash Book.Bank paid insurance premium of ₹ 5,000 but it was recorded as ₹ 500 in Cash Book. Prepare Bank Reconcilation Statement on 31st March, 2019. |
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Answer» On 31st March, 2019, Cash Book of Mahesh showed debit bank balance of ₹ 75,000. When compared with the Bank Statement, following facts were discovered. On 30th March, two cheques of ₹ 5,000 and ₹ 7,000 were deposited in the bank but were not realised till date. On 28th March, three cheques of ₹ 6,000, ₹ 8,000 and ₹ 12,000 were issued but none of these were presented to the bank for payment. On 31st March, bank credited ₹ 1,250 as interest but this was not recorded in the Cash Book. Similarly, the bank had charged ₹ 150 as bank charges but this was not recorded in the Cash Book. Bank paid insurance premium of ₹ 5,000 but it was recorded as ₹ 500 in Cash Book. Prepare Bank Reconcilation Statement on 31st March, 2019. |
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| 5215. |
5.RANI BORROWED RS 15000 FOR 2 YEARS 3 MONTHS AT THE RATE 10% P.A. INTEREST BEING COMPOUNDED ANNUALLY.HOW MUCH MONEY WILL SHE PAY AT THE END OF 2 YEARS 3 MONTHS. |
| Answer» 5.RANI BORROWED RS 15000 FOR 2 YEARS 3 MONTHS AT THE RATE 10% P.A. INTEREST BEING COMPOUNDED ANNUALLY.HOW MUCH MONEY WILL SHE PAY AT THE END OF 2 YEARS 3 MONTHS. | |
| 5216. |
How many pairs of adjacent angles, in all, can you name in the given figure. |
Answer» How many pairs of adjacent angles, in all, can you name in the given figure.
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| 5217. |
The base radius of an iron cylinder is 18 cm and its height is 30 cm. It is melted and recast into a cylinder of base 12 cm. What is the height of the new cylinder? |
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Answer» The base radius of an iron cylinder is 18 cm and its height is 30 cm. It is melted and recast into a cylinder of base 12 cm. What is the height of the new cylinder? |
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| 5218. |
22. How many right angles are there in XeF5 + |
| Answer» 22. How many right angles are there in XeF5 + | |
| 5219. |
What should be added to each of the numbers 13,17 and 22 so that, the resulting numbers are in continued proportion? |
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Answer» What should be added to each of the numbers 13,17 and 22 so that, the resulting numbers are in continued proportion? |
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| 5220. |
Why the factorial of 0 is 1 |
| Answer» Why the factorial of 0 is 1 | |
| 5221. |
Which of the following is a measure of central tendency? |
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Answer» Which of the following is a measure of central tendency? |
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| 5222. |
A rhombus shaped field has green grass for 36 cows to graze. If each side of the field is 30m and longer diagonal is 48m, then how much area of grass each cow will get if 216 m2 of the area is not to be grazed.(Assume each cow grazes same amount) |
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Answer» A rhombus shaped field has green grass for 36 cows to graze. If each side of the field is 30m and longer diagonal is 48m, then how much area of grass each cow will get if 216 m2 of the area is not to be grazed.(Assume each cow grazes same amount) |
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| 5223. |
If x=1,y=2 is a solution of equation a^2 x +ay =3,then find the value of a |
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Answer» If x=1,y=2 is a solution of equation a^2 x +ay =3,then find the value of a |
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| 5224. |
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(a) 12ar∆ABC(b) 13ar∆ABC(c) 14ar∆ABC |
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Answer» 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 (a) (b) (c) 
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| 5225. |
In Fig. AD and BE are medians of ΔABC and BE || DF. Prove that CF =14AC. |
Answer» In Fig. AD and BE are medians of ΔABC and BE || DF. Prove that CF =14AC. |
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| 5226. |
22a3+33b3+c3-36abc |
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| 5227. |
The slant height of cone whose height and radius are 6 cm and 8 cm respectively is |
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Answer» The slant height of cone whose height and radius are 6 cm and 8 cm respectively is |
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| 5228. |
Expand (m+2n+3r)2 |
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Answer» Expand (m+2n+3r)2 |
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| 5229. |
Fill in the blanks:(i) All points lying inside/outside a circle are called ........ points /.......points.(ii) Circles having the same centre and different radii are called ...... circles.(iii) A point whose distance from the centre of a circle is greater than its radius lies in ......of the circle.(iv) A continuous piece of a circle is ....... of the circle.(v) The longest chord of a circle is a ....... of the circle.(vi) An arc is a ..... when its ends are the ends of a diameter.(vii) Segment of a circle is the region between an arc and ....of the circle.(viii) A circle divides the plane, on which it lies, in ...... parts. |
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Answer» Fill in the blanks: (i) All points lying inside/outside a circle are called ........ points /.......points. (ii) Circles having the same centre and different radii are called ...... circles. (iii) A point whose distance from the centre of a circle is greater than its radius lies in ......of the circle. (iv) A continuous piece of a circle is ....... of the circle. (v) The longest chord of a circle is a ....... of the circle. (vi) An arc is a ..... when its ends are the ends of a diameter. (vii) Segment of a circle is the region between an arc and ....of the circle. (viii) A circle divides the plane, on which it lies, in ...... parts. |
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| 5230. |
Rectify the following errors:(i) Purchases Book is overcast by ₹ 500.(ii) Salary paid to an employee, Mr. Ajay, is debited to his Personal account ₹ 3,000.(iii) Goods sold to Shashi on credit ₹ 300 have been wrongly passed through the Purchases Book.(iv) Total of Returns Inward Book has been added ₹ 9 short.(v) Purchase of chair from Happy Traders for ₹ 35 has been entered in the Purchases Book as ₹ 53. |
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Answer» Rectify the following errors: (i) Purchases Book is overcast by ₹ 500. (ii) Salary paid to an employee, Mr. Ajay, is debited to his Personal account ₹ 3,000. (iii) Goods sold to Shashi on credit ₹ 300 have been wrongly passed through the Purchases Book. (iv) Total of Returns Inward Book has been added ₹ 9 short. (v) Purchase of chair from Happy Traders for ₹ 35 has been entered in the Purchases Book as ₹ 53. |
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| 5231. |
The sum of the squares of the sides of a rhombus is equal to the sum of the squares of its diagonals. |
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Answer» The sum of the squares of the sides of a rhombus is equal to the sum of the squares of its diagonals. |
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| 5232. |
The following graph shows the quantity of wheat and jowar produced in 2010 to 2012.What is the percentage production of wheat as compared to total production in the year 2010? |
Answer» The following graph shows the quantity of wheat and jowar produced in 2010 to 2012. What is the percentage production of wheat as compared to total production in the year 2010? |
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| 5233. |
Let ABCD be a parallelogram whose diagonals intersect at P and let O be the origin, then −−→OA+−−→OB+−−→OC+−−→OD equals |
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Answer» Let ABCD be a parallelogram whose diagonals intersect at P and let O be the origin, then −−→OA+−−→OB+−−→OC+−−→OD equals |
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| 5234. |
Factorise:x2 + y2 – z2 – 2xy |
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Answer» Factorise: x2 + y2 – z2 – 2xy |
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| 5235. |
Euclid's which axiom illustrates the statement that when x + y = 15, then x + y + z = 15 + z?(a) first(b) second(c) third(d) fourth |
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Answer» Euclid's which axiom illustrates the statement that when x + y = 15, then x + y + z = 15 + z? (a) first (b) second (c) third (d) fourth |
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| 5236. |
A person lent a part of Rs.7000 at 6% p.a. and the remaining at 4% per annum. The interest he received from both the parts in 5 years was Rs.1600. The sum lent at 6% p.a. is ______. |
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Answer» A person lent a part of Rs.7000 at 6% p.a. and the remaining at 4% per annum. The interest he received from both the parts in 5 years was Rs.1600. The sum lent at 6% p.a. is ______. |
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| 5237. |
If (x + a) is a factor of x2+px+q and x2+mx+n, then find the value of a. |
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Answer» If (x + a) is a factor of x2+px+q and x2+mx+n, then find the value of a. |
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| 5238. |
Calucate the amount and compound interest on:-1) Rs. 10800 for 3 years at 12½% per annum compounded annually.2) Rupees 18,000 for 2½ years at 10% per annum compounded annually.3) Rupees 62500 for 1½ years at 8% per annum compounded half yearly.4) Rupees 8000 for 1 year at 9% per annum compounded half yearly.5) Rupees 10000 for 1 year at 8% per annum compounded half yearly. |
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Answer» Calucate the amount and compound interest on:- 1) Rs. 10800 for 3 years at 12½% per annum compounded annually. 2) Rupees 18,000 for 2½ years at 10% per annum compounded annually. 3) Rupees 62500 for 1½ years at 8% per annum compounded half yearly. 4) Rupees 8000 for 1 year at 9% per annum compounded half yearly. 5) Rupees 10000 for 1 year at 8% per annum compounded half yearly. |
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| 5239. |
In Fig X and Y are two points on equal sides AB and AC of a ΔABC such that AX=XY. Prove that XC = YB. |
Answer» In Fig X and Y are two points on equal sides AB and AC of a ΔABC such that AX=XY. Prove that XC = YB. |
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| 5240. |
If a regular polygon is inscribed in a circle the sum of all the angles subtended by its sides at the centre is |
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Answer» If a regular polygon is inscribed in a circle the sum of all the angles subtended by its sides at the centre is |
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| 5241. |
In the figure ABCD is a rectangle in which CD=6 cm,AD=8 cm. Find the area of parallelogram CDEF. |
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Answer» In the figure ABCD is a rectangle in which CD=6 cm,AD=8 cm. |
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| 5242. |
(√5+√3) (√2-√6) |
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Answer» (√5+√3) (√2-√6) |
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| 5243. |
In ΔABC, BC = AB and ∠B = 80°, then ∠A is equal to: |
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Answer» In ΔABC, BC = AB and ∠B = 80°, then ∠A is equal to: |
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| 5244. |
If log2(log3(log4x))=log3(log4(log2y))=log4(log2(log23))=0 then x + y + z is |
| Answer» If log2(log3(log4x))=log3(log4(log2y))=log4(log2(log23))=0 then x + y + z is | |
| 5245. |
ABCD is a parallelogram, E and F are the mid-points of AB and CD respectively. GH is any line intersecting AD, EF and BC at G, P and H respectively. Prove that GP = PH. |
| Answer» ABCD is a parallelogram, E and F are the mid-points of AB and CD respectively. GH is any line intersecting AD, EF and BC at G, P and H respectively. Prove that GP = PH. | |
| 5246. |
Find the median of: 32, 37, 43, 49, 52, 54, 66, 67, 72, 78 |
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Answer» Find the median of: |
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| 5247. |
What are rational numbers |
| Answer» What are rational numbers | |
| 5248. |
Find the values of 105*106 without multiplying. |
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Answer» Find the values of 105*106 without multiplying. |
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| 5249. |
y = kn(1/x+2) find dy/dx |
| Answer» y = kn(1/x+2) find dy/dx | |
| 5250. |
30.The length of perpendicular from P(2-3i) on the line 3+4iz + 3-4iz + 9 = 0 is equal to |
| Answer» 30.The length of perpendicular from P(2-3i) on the line 3+4iz + 3-4iz + 9 = 0 is equal to | |
(iii) x
