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1551.

The length and the breadth of a rectangular courtyard is 45 m and 35 m respectively. Find the distance covered (in meters) by a boy to take 5 rounds of the courtyard.800

Answer» The length and the breadth of a rectangular courtyard is 45 m and 35 m respectively. Find the distance covered (in meters) by a boy to take 5 rounds of the courtyard.
  1. 800
1552.

Question 35 Fill in the blanks to make the statements true. The line of symmetry of a line segment is the ___ bisector of the line segment.

Answer»

Question 35

Fill in the blanks to make the statements true.

The line of symmetry of a line segment is the ___ bisector of the line segment.

1553.

Question 78In the following question, state whether the given statements are true (T) or false (F).(−7)−4×(−7)2=(−7)−2

Answer»

Question 78



In the following question, state whether the given statements are true (T) or false (F).



(7)4×(7)2=(7)2



1554.

Question 1 (a) Observe the patterns of digits made from line segments of equal length. You will find such segmented digits on the display of electronic watches or calculators. a) If the number of digits formed is taken to be 'n', the number of segments required to form n digits is given by the algebraic expression appearing on the right of each pattern. How many segments are required to form 5, 10, 100 digits of the kind

Answer»

Question 1 (a)
Observe the patterns of digits made from line segments of equal length. You will find such segmented digits on the display of electronic watches or calculators.

a)

If the number of digits formed is taken to be 'n', the number of segments required to form n digits is given by the algebraic expression appearing on the right of each pattern. How many segments are required to form 5, 10, 100 digits of the kind

1555.

नीचे लिखी भावनाएँ कब या कहाँ महसूस होती हैं?(क) छटपटाहट अधीरता – कहीं जाने की जल्दी हो और जाना संभव न हो जैसे- स्कूल की छुट्टी में अभी काफ़ी देर हो, पर घर पर ऐसा कोई मेहमान आने वाला हो जिसे तुम बहुत पसंद करते हो। इच्छा – किसी चीज़ को पाने की इच्छा हो पर वह तुरंत न मिल सकती हो, जैसे भूख लगी हो पर खाना तैयार न हो। संदेश– हम कोई संदेश देना चाह रहे हों पर दूसरे समझ न पा रहे हों, जैसे शिक्षक से कहना हो कि घंटी बज गई है, अब पढ़ाना बंद करें, पर उन्हें घंटी सुनाई न दी हो।इनमें से कौन-सा अर्थ या संदर्भ इस बच्चे पर लागू होता है?(ख) घबराहटहमें जब किसी बात की आशंका हो तो घबरहाट महसूस होती है। जैसे–(क) अँधेरा होने वाला हो और हम घर से काफ़ी दूर हों या अकेले हों।(ख) समय कम हो और हमें कोई काम पूरा कर लेना हो– जैसे परीक्षा में देखा जाता है।(ग) यह डर हो कि दूसरे के मन में क्या चल रहा है।जैसे – पापा को मालूम चल गया हो कि काँच का गिलास तुमसे टूटा है।

Answer»

नीचे लिखी भावनाएँ कब या कहाँ महसूस होती हैं?



(क) छटपटाहट




  • अधीरता – कहीं जाने की जल्दी हो और जाना संभव न हो जैसे- स्कूल की छुट्टी में अभी काफ़ी देर हो, पर घर पर ऐसा कोई मेहमान आने वाला हो जिसे तुम बहुत पसंद करते हो।

  • इच्छा – किसी चीज़ को पाने की इच्छा हो पर वह तुरंत न मिल सकती हो, जैसे भूख लगी हो पर खाना तैयार न हो।

  • संदेश– हम कोई संदेश देना चाह रहे हों पर दूसरे समझ न पा रहे हों, जैसे शिक्षक से कहना हो कि घंटी बज गई है, अब पढ़ाना बंद करें, पर उन्हें घंटी सुनाई न दी हो।



इनमें से कौन-सा अर्थ या संदर्भ इस बच्चे पर लागू होता है?



(ख) घबराहट



हमें जब किसी बात की आशंका हो तो घबरहाट महसूस होती है। जैसे–



(क) अँधेरा होने वाला हो और हम घर से काफ़ी दूर हों या अकेले हों।



(ख) समय कम हो और हमें कोई काम पूरा कर लेना हो– जैसे परीक्षा में देखा जाता है।



(ग) यह डर हो कि दूसरे के मन में क्या चल रहा है।



जैसे – पापा को मालूम चल गया हो कि काँच का गिलास तुमसे टूटा है।

1556.

Consider a data set "The age of students in a particular class". This data set will represent in the data collected.(variability/ non-variability).

Answer» Consider a data set "The age of students in a particular class". This data set will represent in the data collected.

(variability/ non-variability).
1557.

8.6 when written as a fraction in mixed fraction form is:

Answer»

8.6 when written as a fraction in mixed fraction form is:


1558.

The number of zeroes in 140! ........ Please notice it's 140 factorial

Answer»

The number of zeroes in 140! ........

Please notice it's 140 factorial

1559.

If nPr = 840 and nCr = 35, then r = ___________.

Answer» If nPr = 840 and nCr = 35, then r = ___________.
1560.

Convert the following improper fractions to mixed fractions. 437 9311 579

Answer» Convert the following improper fractions to mixed fractions.

  1. 437

  2. 9311

  3. 579



1561.

Draw a line AB. At A, draw an arc of length 3 cm using compass such that it intersects AB at O. With the same spread of compass, put the compass pointer at O and make an arc that intersects the previous arc at P. With the same spread again, put the compass pointer at P and draw an arc that intersects the first arc at Q. Join A and Q. Using the protractor, measure ∠QAB. What is the value of ∠QAB.

Answer»

Draw a line AB. At A, draw an arc of length 3 cm using compass such that it intersects AB at O. With the same spread of compass, put the compass pointer at O and make an arc that intersects the previous arc at P. With the same spread again, put the compass pointer at P and draw an arc that intersects the first arc at Q. Join A and Q. Using the protractor, measure QAB. What is the value of QAB.


1562.

What is the sum of 4! and 3!?

Answer»

What is the sum of 4! and 3!?

1563.

Draw any line segment.Take any point R not on it. Through R, draw a perpendicular to.(Use ruler and set-square)

Answer»

Draw any line segment.
Take any point R not on it. Through R, draw a perpendicular to.
(Use ruler and set-square)

1564.

A tetrahedron has ___ edges.

Answer»

A tetrahedron has ___ edges.


1565.

Simplify: 9+[32+(99+1)÷5]

Answer» Simplify: 9+[32+(99+1)÷5]
1566.

Question 93If the price of petrol, diesel and LPG is slashed as followsFuelOld price/litre (in Rs)New price/litre(in Rs) %DecreasePetrol/L45.6240.62___Diesel/L32.8630.86___LPG/14.2 kg304.70279.70___Complete the above table.

Answer»

Question 93



If the price of petrol, diesel and LPG is slashed as follows



FuelOld price/litre (in Rs)New price/litre(in Rs) %DecreasePetrol/L45.6240.62___Diesel/L32.8630.86___LPG/14.2 kg304.70279.70___

Complete the above table.



1567.

Question 2You know that 17=0.¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯142587 .Can you predict the decimal expansion of 27,37,47,57,67 without actually doing the long division? If so, how?

Answer»

Question 2

You know that 17=0.¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯142587 .Can you predict the decimal expansion of 27,37,47,57,67 without actually doing the long division? If so, how?



1568.

Write the number 50801592 using commas according to the Indian number system.

Answer» Write the number 50801592 using commas according to the Indian number system.
1569.

हमें लगता था कि हम पहाड़ हिला सकते हैं- आप किन क्षणों में ऐसा सोचते हैं?

Answer» हमें लगता था कि हम पहाड़ हिला सकते हैं- आप किन क्षणों में ऐसा सोचते हैं?
1570.

Intersecting lines have ________ point/s in common.

Answer»

Intersecting lines have ________ point/s in common.


1571.

Which of the following best describes the figure shown?

Answer»

Which of the following best describes the figure shown?


1572.

In a juice bar, Maria asks for two and three-fifths gallons of lemon juice as a refreshment for her baseball team players. If there is 1058 gallons of juice in the shop when Maria entered, how many gallons remain after her purchase?

Answer»

In a juice bar, Maria asks for two and three-fifths gallons of lemon juice as a refreshment for her baseball team players. If there is 1058 gallons of juice in the shop when Maria entered, how many gallons remain after her purchase?

1573.

What is the total number of custard apples sold on Sunday and number of custard apples sold on Tuesday?

Answer»

What is the total number of custard apples sold on Sunday and number of custard apples sold on Tuesday?





1574.

What is the value of the product 34×−57?

Answer»

What is the value of the product 34×57?

1575.

A local business has decided to upgrade their computing systems' storage. If the upgrading costs $20 per laptop, the maximum number of laptops that can be upgraded with a budget of $349 is17

Answer»

A local business has decided to upgrade their computing systems' storage. If the upgrading costs $20 per laptop, the maximum number of laptops that can be upgraded with a budget of $349 is



  1. 17
1576.

Match List I (Quantity) with List II (Units) and select the correct answer using the codes given below: ​

Answer»

Match List I (Quantity) with List II (Units) and select the correct answer using the codes given below:


1577.

Which of the following pair of numbers yield a product of 72?

Answer»

Which of the following pair of numbers yield a product of 72?



1578.

Prove with the help of an example that the variable is rebuilt in case of immutable data types.

Answer» Prove with the help of an example that the variable is rebuilt in case of immutable data types.
1579.

3.Q. The difference between outside and inside surface areas of cylindrical metallic pipe 14cm long is 44m(square).If the pipe is made of 99cm(cube) of metal,find the outer and inner radii of pipe.

Answer» 3.Q. The difference between outside and inside surface areas of cylindrical metallic pipe 14cm long is 44m(square).If the pipe is made of 99cm(cube) of metal,find the outer and inner radii of pipe.
1580.

If z is a complex number satisfying 4z+2z3=0, then

Answer»

If z is a complex number satisfying 4z+2z3=0, then

1581.

A firm manufactures two products, each of which must be processed through two departments, 1 and 2. The hourly requirements per unit for each product in each department, the weekly capacities in each department, selling price per unit, labour cost per unit, and raw material cost per unit are summarized as follows: Product A Product B Weekly capacity Department 1 3 2 130 Department 2 4 6 260 Selling price per unit ₹ 25 ₹ 30 Labour cost per unit ₹ 16 ₹ 20 Raw material cost per unit ₹ 4 ₹ 4 The problem is to determine the number of units to produce each product so as to maximize total contribution to profit. Formulate this as a LPP.

Answer» A firm manufactures two products, each of which must be processed through two departments, 1 and 2. The hourly requirements per unit for each product in each department, the weekly capacities in each department, selling price per unit, labour cost per unit, and raw material cost per unit are summarized as follows:









































Product A Product B Weekly capacity
Department 1 3 2 130
Department 2 4 6 260
Selling price per unit ₹ 25 ₹ 30
Labour cost per unit ₹ 16 ₹ 20
Raw material cost per unit ₹ 4 ₹ 4



The problem is to determine the number of units to produce each product so as to maximize total contribution to profit. Formulate this as a LPP.
1582.

Which of the following machines is heavier? Choose the correct sign. Machine A Machine B

Answer»

Which of the following machines is heavier? Choose the correct sign.





Machine A Machine B

1583.

The number of boys in a class is 30 and the number of girls is x. The mean of the number of boys and girls is 35.If the number of girls is increased by 10 , what will be the new mean?

Answer» The number of boys in a class is 30 and the number of girls is x. The mean of the number of boys and girls is 35.

If the number of girls is increased by 10 , what will be the new mean?
1584.

√7√7√7√7√7= 7^x

Answer» √7√7√7√7√7= 7^x
1585.

If three non-coplanar vectors a→, b→, c→ from a parallelopiped of volume 8 cubic units, then the values of 3a→ 4b→ 5c→ are _________________.

Answer» If three non-coplanar vectors a, b, c from a parallelopiped of volume 8 cubic units, then the values of 3a 4b 5c are _________________.
1586.

A person wrote first N consecutive numbers (natural) on a board and found their sum. Another person came and deleted the smallest number and found the sum of remaining numbers. The process continued until N remained on the board. The average of all the sums is found out to be 105. Find N.

Answer»

A person wrote first N consecutive numbers (natural) on a board and found their sum. Another person came and deleted the smallest number and found the sum of remaining numbers. The process continued until N remained on the board. The average of all the sums is found out to be 105. Find N.


1587.

Find the area of a trapezium if the distance between its parallel sides is 26 cm and one of the parallel sides is 84 cm, the other parallel side is half of the perpendicular distance between the parallel sides.

Answer» Find the area of a trapezium if the distance between its parallel sides is 26 cm and one of the parallel sides is 84 cm, the other parallel side is half of the perpendicular distance between the parallel sides.
1588.

The sum of two numbers is 53.12. One of the numbers is 33.76. Find the other number.

Answer»

The sum of two numbers is 53.12. One of the numbers is 33.76. Find the other number.



1589.

Nazeera went to a food place in Abu Dhabi and had a meal of some 2 Doner kebabs and a refreshing Turkish tea. If the following are the prices of the food items in Dirhams (AED), calculate her total food bill in Indian Rupees (INR).

Answer»

Nazeera went to a food place in Abu Dhabi and had a meal of some 2 Doner kebabs and a refreshing Turkish tea. If the following are the prices of the food items in Dirhams (AED), calculate her total food bill in Indian Rupees (INR).



1590.

Following bar graph shows the number of books sold by a bookstore during five consecutive years. [3 MARKS] a) In which year, 200 books were sold? b) How many books were sold in the year 1989? c) What is the difference between the number of books sold in 1993 and 1992?

Answer»

Following bar graph shows the number of books sold by a bookstore during five consecutive years. [3 MARKS]

a) In which year, 200 books were sold?

b) How many books were sold in the year 1989?

c) What is the difference between the number of books sold in 1993 and 1992?

1591.

If A = {Boys with ages above 12 years} and B = {Boys with ages above 8 years} then set A and set B are

Answer»

If A = {Boys with ages above 12 years} and B = {Boys with ages above 8 years} then set A and set B are


1592.

आज की पीढ़ी द्वारा प्रकृति के साथ किस तरह का खिलवाड़ किया जा रहा है। इसे रोकने में आपकी क्या भूमिका होनी चाहिए।

Answer»

आज
की पीढ़ी द्वारा
प्रकृति के साथ
किस तरह का खिलवाड़
किया जा रहा है।
इसे रोकने में
आपकी क्या भूमिका
होनी चाहिए।

1593.

What is the number of significant figures in (3.50 + 450) × 10^5 ?

Answer» What is the number of significant figures in (3.50 + 450) × 10^5 ?
1594.

Express 3470 grams in kilograms

Answer» Express 3470 grams in kilograms
1595.

In the product 5mab,(i) 5 is the numerical coefficient of mab.(ii) the coefficient of ab is 5m.(iii) m, a and b are the only factors.

Answer»

In the product 5mab,


(i) 5 is the numerical coefficient of mab.


(ii) the coefficient of ab is 5m.


(iii) m, a and b are the only factors.



1596.

How many faces does figure have?

Answer»

How many faces does figure have?





1597.

Shikha is rowing a boat due north-east. In which direction will she be rowing if she turns it through a straight angle

Answer» Shikha is rowing a boat due north-east. In which direction will she be rowing if she turns it through a straight angle
1598.

How to solve 3/4:2:0:5/2?

Answer» How to solve 3/4:2:0:5/2?
1599.

Find the sum: 328+121

Answer»

Find the sum:
328+121


1600.

A carton has twenty chocolates worth rupees 100. The carton consists of Cadbury shots worth rupees 3 each and 5 star worth rupees 11 each. How many 5 star chocolates are there in the carton? [4 MARKS]

Answer»

A carton has twenty chocolates worth rupees 100. The carton consists of Cadbury shots worth rupees 3 each and 5 star worth rupees 11 each. How many 5 star chocolates are there in the carton? [4 MARKS]