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6651.

Construct ∆EFG from the given measures. l(FG) = 5 cm, m∠EFG = 90°, l(EG) = 7 cm.

Answer» Construct ∆EFG from the given measures. l(FG) = 5 cm, mEFG = 90°, l(EG) = 7 cm.
6652.

96abc(3a − 12)(5b − 30) ÷ 144(a − 4) (b − 6) gives

Answer»

96abc(3a − 12)(5b − 30) ÷ 144(a − 4) (b − 6) gives


6653.

Which one of the following is a false statement

Answer»

Which one of the following is a false statement


6654.

You are to open the books of Rajesh Prabhu, Gurugram (Haryana) a trader, through the Journal to record the assets and liabilities and then to record the daily transactions for the month of April, 2018. A Trial Balance is to be extracted as on 30th April, 2018: 2018 April 1 Assets: Premises ₹ 2,00,000; Delivery Van ₹ 50,000; Fixtures ₹ 5,000; Stock ₹ 75,000; Debtors: Hariharan ₹ 30,000; Rajhans ₹ 50,000; Cash at Bank ₹ 45,000; Cash in Hand ₹ 30,000 Liabilities: Creditors: Jawahar ₹ 1,00,000; Vikas ₹ 45,000; Telephone Expenses Payable ₹ 4,000; Output CGST– ₹ 240; Output SGST– ₹ 240; Electricity Expenses Payable ₹ 4,520; Salaries Payable ₹ 7,000. April 1 Paid rent by cheque ₹ 5,000 April 2 Goods purchased on credit from Prabhat, Delhi ₹ 15,000; Rajan, Delhi ₹ 8,000; Passi, Delhi ₹ 7,000 April 3 Goods sold on credit to Rakesh, Gurugram ₹ 17,000; Devender, Delhi ₹ 25,000; Paid Telephone Bill, CGST and SGST by Cheque April 4 Paid the bill of petrol expenses for Delivery Van ₹ 5,700* April 5 Cash drawings by Rajesh Prabhu ₹ 4,000* April 7 Paid salaries for the month of March, 2018 ₹ 7,000* April 9 Cash sales ₹ 5,000 April 11 Goods returned by Rakesh ₹ 5,000; Devender ₹ 1,000 April 12 Received cheques from debtors: Hariharan ₹ 20,000; Rajhans ₹ 40,000* April 16 Goods returned to Prabhat ₹ 4,000; Rajan ₹ 1,000 April 20 Cheques issued to creditors: Jawahar ₹ 50,000; Vikas ₹ 10,000* April 22 Received cheques from Hariharan ₹ 10,000; Rajhans ₹ 10,000; Rakesh ₹ 10,000; Devender ₹ 5,000; Cheques received from Rakesh and Devender are dated 25th May, 2018*. April 24 Cheques from Rakesh and Devender were discounted from bank paying interest 10% p.a.* April 25 Received cash from Devender in full settlement ₹ 21,000* Inter-state transactions are subject to levy of IGST 12% and Intra-state transactions are subject to levy of CGST and SGST 6% each. GST is not levied on transactions marked with (*).

Answer» You are to open the books of Rajesh Prabhu, Gurugram (Haryana) a trader, through the Journal to record the assets and liabilities and then to record the daily transactions for the month of April, 2018. A Trial Balance is to be extracted as on 30th April, 2018:















































































2018
April 1 Assets: Premises ₹ 2,00,000; Delivery Van ₹ 50,000; Fixtures ₹ 5,000; Stock ₹ 75,000; Debtors: Hariharan ₹ 30,000;
Rajhans ₹ 50,000; Cash at Bank ₹ 45,000; Cash in Hand ₹ 30,000

Liabilities: Creditors: Jawahar ₹ 1,00,000; Vikas ₹ 45,000; Telephone Expenses Payable ₹ 4,000; Output CGST– ₹ 240; Output SGST– ₹ 240; Electricity Expenses Payable ₹ 4,520; Salaries Payable ₹ 7,000.
April 1 Paid rent by cheque ₹ 5,000
April 2 Goods purchased on credit from Prabhat, Delhi ₹ 15,000; Rajan, Delhi ₹ 8,000; Passi, Delhi ₹ 7,000
April 3 Goods sold on credit to Rakesh, Gurugram ₹ 17,000; Devender, Delhi ₹ 25,000; Paid Telephone Bill, CGST and SGST by Cheque
April 4 Paid the bill of petrol expenses for Delivery Van ₹ 5,700*
April 5 Cash drawings by Rajesh Prabhu ₹ 4,000*
April 7 Paid salaries for the month of March, 2018 ₹ 7,000*
April 9 Cash sales ₹ 5,000
April 11 Goods returned by Rakesh ₹ 5,000; Devender ₹ 1,000
April 12 Received cheques from debtors: Hariharan ₹ 20,000; Rajhans ₹ 40,000*
April 16 Goods returned to Prabhat ₹ 4,000; Rajan ₹ 1,000
April 20 Cheques issued to creditors: Jawahar ₹ 50,000; Vikas ₹ 10,000*
April 22 Received cheques from Hariharan ₹ 10,000; Rajhans ₹ 10,000; Rakesh ₹ 10,000; Devender ₹ 5,000;
Cheques received from Rakesh and Devender are dated 25th May, 2018*.
April 24 Cheques from Rakesh and Devender were discounted from bank paying interest 10% p.a.*
April 25 Received cash from Devender in full settlement ₹ 21,000*



Inter-state transactions are subject to levy of IGST 12% and Intra-state transactions are subject to levy of CGST and SGST 6% each. GST is not levied on transactions marked with (*).
6655.

Karan wants to cover the floor of his room with lavish tiles. The floor of his room is in the shape of a square with sides measuring 6 m. The shopkeeper told him that the area of each tile is 0.5 m2. How many tiles should Karan buy?

Answer»

Karan wants to cover the floor of his room with lavish tiles. The floor of his room is in the shape of a square with sides measuring 6 m. The shopkeeper told him that the area of each tile is 0.5 m2. How many tiles should Karan buy?


6656.

Find the additive inverse of each of the following (i) 13 (ii) 239 (iii) −18 (iv) −178 (v) 15−4 (vi) −16−5 (vii) −311 (viii) 0 (ix) 19−6 (x) −8−7

Answer»

Find the additive inverse of each of the following

(i) 13 (ii) 239 (iii) 18

(iv) 178 (v) 154 (vi) 165 (vii) 311 (viii) 0

(ix) 196 (x) 87

6657.

What is the diameter of a circle whose radius is 7 cm?

Answer»

What is the diameter of a circle whose radius is 7 cm?

6658.

Cost of 6 kg of wheat is ₹72.a) What will be the cost of 8 kg of wheat?b) What quantity of wheat can be purchased with ₹61?

Answer»

Cost of 6 kg of wheat is ₹72.



a) What will be the cost of 8 kg of wheat?



b) What quantity of wheat can be purchased with ₹61?



6659.

Solve the following problems.An agent received Rs. 3,000 commission by selling an old lorry. If the rate of commission is 1.5%, find the selling price of the lorry.

Answer»

Solve the following problems.



An agent received Rs. 3,000 commission by selling an old lorry. If the rate of commission is 1.5%, find the selling price of the lorry.

6660.

Simplify and express the following in exponential form((72)4 ×78) ÷ (74)2

Answer»

Simplify and express the following in exponential form

((72)4 ×78) ÷ (74)2



6661.

Arun has Rs 400 in the form of Rs 20 notes and Rs 10 notes. If the number of Rs 20 notes is 5 more than the number of Rs 10 notes, then how many Rs 20 notes does he have? 15

Answer» Arun has Rs 400 in the form of Rs 20 notes and Rs 10 notes. If the number of Rs 20 notes is 5 more than the number of Rs 10 notes, then how many Rs 20 notes does he have?


  1. 15
6662.

John has one third of a dollar, and Sarah gives him one sixth of a dollar $x. Now John has a total of $10. Find the value of x.

Answer»

John has one third of a dollar, and Sarah gives him one sixth of a dollar $x. Now John has a total of $10. Find the value of x.

6663.

What is the area of the largest circle in sq. cm that can be inscribed in a square of side 14 cm?

Answer»

What is the area of the largest circle in sq. cm that can be inscribed in a square of side 14 cm?

6664.

How the perimeter of the circle become 2πr ?undefinedundefinedundefinedundefined

Answer» How the perimeter of the circle become 2πr ?
  1. undefined
  2. undefined
  3. undefined
  4. undefined
6665.

Question 4(iv) Write the equation for the following statement: The number b divided by 5 gives 6.

Answer»

Question 4(iv)
Write the equation for the following statement:

The number b divided by 5 gives 6.

6666.

Aditya's age is 50 years old and his brother is 30 years old. What is the ratio of Aditya's age to his brother age when the Aditya was 30 years old?

Answer»

Aditya's age is 50 years old and his brother is 30 years old. What is the ratio of Aditya's age to his brother age when the Aditya was 30 years old?


6667.

Question 21 The following is the map of a town. Based on it answer the question. According to the map, the number of schools in the town is (a) 4 (b) 3 (c) 5 (d) 12

Answer»

Question 21

The following is the map of a town. Based on it answer the question.

According to the map, the number of schools in the town is
(a) 4
(b) 3
(c) 5
(d) 12

6668.

4329 = ___

Answer»

4329 = ___


6669.

The product of two numbers is 1556.If one number is 623, what will be the other number?

Answer»

The product of two numbers is 1556.

If one number is 623, what will be the other number?

6670.

The median of a triangle divided it into two ( A median is a line segment from a vertex to the midpoint of the opposite side. )(a) triangles of equal area(b) congruent traingles(c) isosceles triangles(d) right triangles

Answer»

The median of a triangle divided it into two ( A median is a line segment from a vertex to the midpoint of the opposite side. )



(a) triangles of equal area



(b) congruent traingles



(c) isosceles triangles



(d) right triangles



6671.

A wastewater is to be disinfected with 35 mg/L of chlorine to obtain 99% kill of micro-organisms. The number of micro-organisms remaining alive (Nt) at time t, is modelled by Nt=N0e−kt, where N0 is number of micro-organisms at t=0, and k is the rate of kill. The wastewater flow rate is 36 m3/h, and k=0.23min−1. If the depth and width of the chlorination tank are 1.5 m and 1.0 m, respectively, the length of the tank (in m, round off to 2 decimal places) is8.0089

Answer» A wastewater is to be disinfected with 35 mg/L of chlorine to obtain 99% kill of micro-organisms. The number of micro-organisms remaining alive (Nt) at time t, is modelled by Nt=N0ekt, where N0 is number of micro-organisms at t=0, and k is the rate of kill. The wastewater flow rate is 36 m3/h, and k=0.23min1.

If the depth and width of the chlorination tank are 1.5 m and 1.0 m, respectively, the length of the tank (in m, round off to 2 decimal places) is
  1. 8.0089
6672.

Identify the type of passage from the following figures.

Answer»

Identify the type of passage from the following figures.

6673.

The sum of squares of first n natural numbers is given by 16n(n+1)(2n+1) or 16(2n3+3n2+n). Find the sum of squares of the first 10 natural numbers.

Answer» The sum of squares of first n natural numbers is given by 16n(n+1)(2n+1) or 16(2n3+3n2+n). Find the sum of squares of the first 10 natural numbers.




6674.

Equilateral triangle has _____ lines of symmetry and circle has ____________ number of lines of symmetry

Answer»

Equilateral triangle has _____ lines of symmetry and circle has ____________ number of lines of symmetry



6675.

Write algebraic expression for the following:When I multiply four-fifth of number x to two-fifth of the sum of numbers x3 and y, I obtain 4 times c subtracted from the sum of y and x.

Answer» Write algebraic expression for the following:

When I multiply four-fifth of number x to two-fifth of the sum of numbers x3 and y, I obtain 4 times c subtracted from the sum of y and x.


6676.

Question 67 (c) Find the value of the given polynomial at m = 1, n = -1 and p = 2 m3+n3+p3

Answer»

Question 67 (c)

Find the value of the given polynomial at m = 1, n = -1 and p = 2

m3+n3+p3

6677.

Find the value of 36×32.

Answer»

Find the value of 36×32.

6678.

Explain what is line spectra in detail

Answer» Explain what is line spectra in detail
6679.

51 In the figure given below,AD is the angle bisector of angle EAF. Angle AFC=110 degree and angle DCF=20 degree. If angle DAF=30degree and angle EBD=10 degree. Find angle AEB.

Answer» 51 In the figure given below,AD is the angle bisector of angle EAF. Angle AFC=110 degree and angle DCF=20 degree. If angle DAF=30degree and angle EBD=10 degree. Find angle AEB.
6680.

I'm divisible by an even prime number and the sum of digits is divisible by a least odd prime number. I must be completely divisible by .

Answer» I'm divisible by an even prime number and the sum of digits is divisible by a least odd prime number. I must be completely divisible by .
6681.

निम्नलिखित प्रश्न का उत्तर (25-30 शब्दों में) लिखिए − कॉलेज के दिनों में रामन् की दिली इच्छा क्या थी?

Answer»

निम्नलिखित प्रश्न का उत्तर (25-30 शब्दों में) लिखिए


कॉलेज के दिनों में रामन् की दिली इच्छा क्या थी?

6682.

If two parallel lines are intersected by a transversal, prove that the bisectors of the interior angles on the same side of transversal intersect each other at right angles.

Answer»

If two parallel lines are intersected by a transversal, prove that the bisectors of the interior angles on the same side of transversal intersect each other at right angles.

6683.

Question 4(v) Give expression for the following cases. 7 subtracted from - m

Answer»

Question 4(v)

Give expression for the following cases.

7 subtracted from - m

6684.

If a→=10,b→=2 and a→·b→=12, then the value of a→×b→ is(a) 5 (b) 10 (c) 14 (d) 16

Answer» If a=10,b=2 and a·b=12, then the value of a×b is

(a) 5

(b) 10

(c) 14

(d) 16
6685.

Solve the following.5 men can build a wall 20ft long in 7 days. Find the length of the wall built by 13 men in 21 days?

Answer»

Solve the following.



5 men can build a wall 20ft long in 7 days. Find the length of the wall built by 13 men in 21 days?



6686.

Find the value of the expression 3x−1 for the given values of x:x=1,5,−6,37

Answer»

Find the value of the expression 3x1 for the given values of x:

x=1,5,6,37

6687.

Which of the following is a multiple of 11?

Answer»

Which of the following is a multiple of 11?


6688.

What is the coefficient of term xy3 in the expression 5x3−10xy3+3x2y ?

Answer»

What is the coefficient of term xy3 in the expression 5x310xy3+3x2y ?

6689.

'अभिधार्थ एक होते हुए भी ध्वन्यार्थ और व्यंग्यार्थ अलग-अलग हो जाते हैं।' दूरियों के संदर्भ में इसका आशय स्पष्ट कीजिए।

Answer» 'अभिधार्थ एक होते हुए भी ध्वन्यार्थ और व्यंग्यार्थ अलग-अलग हो जाते हैं।' दूरियों के संदर्भ में इसका आशय स्पष्ट कीजिए।
6690.

Identify which of the following figures is symmetrical about the given line l ?

Answer» Identify which of the following figures is symmetrical about the given line l ?




6691.

Record the following transaction in the Purchases Book of Modern Furniture House, New Delhi assuming CGST 6% and SGST 6% and post it into Ledger: 2017 Nov. 3 Purchased goods from Sachdeva Furniture Store, New Delhi : 50 Chairs ₹ 2,000 each 5 Tables ₹ 10,000 each Less: 10% Trade Discount 10 Purchased furniture from Mahadeva & Co., Jaipur (Rajasthan) valued ₹ 2,00,000, less 1212% Trade Discount. 18 Purchased furniture from Fashion Furniture House, Chandigarh of the list price of ₹ 2,50,000, less 15%. 20 Purchased from India Furniture House, New Delhi : 100 Chairs ₹ 1,800 each 25 Purchased from Mohan Lal & Sons furniture of the value of ₹ 20,000 for cash.

Answer» Record the following transaction in the Purchases Book of Modern Furniture House, New Delhi assuming CGST 6% and SGST 6% and post it into Ledger:















































2017
Nov. 3 Purchased goods from Sachdeva Furniture Store, New Delhi :

50 Chairs ₹ 2,000 each


5 Tables ₹ 10,000 each


Less: 10% Trade Discount

10 Purchased furniture from Mahadeva & Co., Jaipur (Rajasthan) valued ₹ 2,00,000, less 1212% Trade Discount.
18 Purchased furniture from Fashion Furniture House, Chandigarh of the list price of ₹ 2,50,000, less 15%.
20 Purchased from India Furniture House, New Delhi :

100 Chairs ₹ 1,800 each

25 Purchased from Mohan Lal & Sons furniture of the value of ₹ 20,000 for cash.
6692.

The equation of acute angle bisector between the lines L1:x−14=y−2−3=z−32,L2:x−13=y−24=z−3−2 is x−1a=y−2−14=z−3b,(a,b∈R). Then the value of a+b=

Answer» The equation of acute angle bisector between the lines L1:x14=y23=z32,L2:x13=y24=z32 is x1a=y214=z3b,(a,bR). Then the value of a+b=
6693.

What is the excess of 90 over 53.865?

Answer»

What is the excess of 90 over 53.865?

6694.

The radius of a circle is 2.5 cm. Its diameter is ___.

Answer»

The radius of a circle is 2.5 cm. Its diameter is ___.



6695.

−13+(−69)+57−(−89)−(53+(−49))=

Answer» 13+(69)+57(89)(53+(49))=
6696.

There is a circular track of length 400 m. If you are running around the circumference and at an angle of 270° from the centre, what is the length you have covered while running?

Answer»

There is a circular track of length 400 m. If you are running around the circumference and at an angle of 270° from the centre, what is the length you have covered while running?


6697.

An open pipe 40 cm long and close pipe 31 cm long both having same diameter are producing their first overtone and these are in union. Dtermine the end correction of these pipes

Answer» An open pipe 40 cm long and close pipe 31 cm long both having same diameter are producing their first overtone and these are in union. Dtermine the end correction of these pipes
6698.

In the given figure 1.66, seg PQ || seg DE, A(∆PQF) = 20 units, PF = 2 DP, then Find A(◻DPQE) by completing the following activity.

Answer» In the given figure 1.66, seg PQ || seg DE, A(∆PQF) = 20 units, PF = 2 DP, then Find A(◻DPQE) by completing the following activity.

6699.

If m=√(4+(√4-(√4+(√4-infinity)))), then m equal to?

Answer» If m=√(4+(√4-(√4+(√4-infinity)))), then m equal to?
6700.

A car travelled 60 km towards the north direction from a point A. From there, it travelled 100 km in the south direction. How far is the car from point A now?

Answer»

A car travelled 60 km towards the north direction from a point A. From there, it travelled 100 km in the south direction. How far is the car from point A now?