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151.

Mark the correct alternatives in each of the following:The sum of two integers is 24. If one of them is −19, then the other is(a) 43 (b) −43 (c) 5 (d) −5

Answer» Mark the correct alternatives in each of the following:



The sum of two integers is 24. If one of them is −19, then the other is



(a) 43 (b) −43 (c) 5 (d) −5
152.

From the given figure, find the value of x.

Answer» From the given figure, find the value of x.


153.

The number of integers n(< 20) for which n2 - 3n+3 is a perfect square is

Answer» The number of integers n(< 20) for which n2 - 3n+3 is a perfect square is
154.

0.96 in 1 part of a tomato is water. If so, the percentage of a tomato that is made up of water is

Answer»

0.96 in 1 part of a tomato is water. If so, the percentage of a tomato that is made up of water is

155.

what is vampire number?

Answer» what is vampire number?
156.

The equation of the plane with intercepts 2,3,4 on the x,y and z axes respectively is

Answer»

The equation of the plane with intercepts 2,3,4 on the x,y and z axes respectively is

157.

Convert 3.33 into mixed fraction using long division.

Answer»

Convert 3.33 into mixed fraction using long division.


158.

Find the area of rectangle whose length is 5.7 cm and breadth is 3 cm.

Answer» Find the area of rectangle whose length is 5.7 cm and breadth is 3 cm.
159.

In a quiz, team A scored - 40, 10, 0 and team B scored 10, 0, - 40 in three successive rounds.(i) Which team scored more?(ii) Can we say that we can add integers in any order?

Answer» In a quiz, team A scored - 40, 10, 0 and team B scored 10, 0, - 40 in three successive rounds.

(i) Which team scored more?

(ii) Can we say that we can add integers in any order?
160.

इस गली में हमें कौन-कौन-सी आवाज़ें सुनाई देंगी?

Answer»

इस गली में हमें कौन-कौन-सी आवाज़ें सुनाई देंगी?

161.

In the process of construction of an angle with P as the centre and any radius, draw an arc as shown, which cuts in A. This is the first arc. With A as centre and the same radius, cut this arc in B. This would be the second arc. What will be the value of ∠BPA in degrees?60

Answer» In the process of construction of an angle with P as the centre and any radius, draw an arc as shown, which cuts in A. This is the first arc. With A as centre and the same radius, cut this arc in B. This would be the second arc. What will be the value of BPA in degrees?


  1. 60
162.

Study the graph and answer the question that follows.Which was the hottest day?

Answer» Study the graph and answer the question that follows.



Which was the hottest day?
163.

Fill in the blanks:1 million = _______________ lakh.

Answer» Fill in the blanks:

1 million = _______________ lakh.
164.

The value of x in x + 13 = 15 is ________.

Answer»

The value of x in x + 13 = 15 is ________.


165.

Question 22Fill in the blanks to make the statements true.In the given figure, a) ∠AOD is a/an______angle. b) ∠COA is a/an______angle. c) ∠AOE is a/an______angle.

Answer»

Question 22



Fill in the blanks to make the statements true.



In the given figure,





a) AOD is a/an______angle.



b) COA is a/an______angle.



c) AOE is a/an______angle.



166.

In the given figure, AB || DE and BD || FG such that ∠ABC = 50° and ∠FGH = 120°. Find the values of x and y.

Answer» In the given figure, AB || DE and BD || FG such that ∠ABC = 50° and ∠FGH = 120°. Find the values of x and y.

167.

Write this amounts of money in order of size, starting with the smallest amount

Answer»

Write this amounts of money in order of size, starting with the smallest amount


168.

David is 8 years younger than Michael. If Michael's present age is x years, then the algebraic expression for David's present age (in years) is

Answer»

David is 8 years younger than Michael. If Michael's present age is x years, then the algebraic expression for David's present age (in years) is

169.

भारत में अनेक अवसरों पर मेले लगते हैं। कुछ मेले तो पूरी दुनिया में प्रसिद्ध हैं। (क) तुम अपने प्रदेश के किसी मेले के बारे में बताओ। पता करो कि वह मेला क्यों लगता है? वहाँ कौन-कौन से लोग आते हैं और वे क्या करते हैं? इस काम में तुम पुस्तकालय या बड़ों की सहायता ले सकते हो। (ख) तुम पुस्तक-मेला, फ़िल्म-मेला और व्यापार-मेला आदि के बारे में जानकारी प्राप्त करो और बताओ कि अगर तुम्हें इनमें से किसी मेले में जाने का अवसर मिले तो तुम किस मेले में जाना चाहोगे और क्यों?

Answer»

भारत में अनेक अवसरों पर मेले लगते हैं। कुछ मेले तो पूरी दुनिया में प्रसिद्ध हैं।


(क) तुम अपने प्रदेश के किसी मेले के बारे में बताओ। पता करो कि वह मेला क्यों लगता है? वहाँ कौन-कौन से लोग आते हैं और वे क्या करते हैं? इस काम में तुम पुस्तकालय या बड़ों की सहायता ले सकते हो।


(ख) तुम पुस्तक-मेला, फ़िल्म-मेला और व्यापार-मेला आदि के बारे में जानकारी प्राप्त करो और बताओ कि अगर तुम्हें इनमें से किसी मेले में जाने का अवसर मिले तो तुम किस मेले में जाना चाहोगे और क्यों?

170.

If z satisfies the equation |z| -z=1+2i, then z is equal to

Answer» If z satisfies the equation |z| -z=1+2i, then z is equal to
171.

in a dip circle the measurement of an apparent dip is 60 degree at a place whete true dip is 30 degree . if the dip circle is rotated through 90 degree then reading of dip circle is

Answer» in a dip circle the measurement of an apparent dip is 60 degree at a place whete true dip is 30 degree . if the dip circle is rotated through 90 degree then reading of dip circle is
172.

The sum of all five digit numbers than can beformed using the digits 1, 2, 3, 4, 5 whenrepetition of digits is not allowed is(1) 366000(2) 660000 (3) 360000(4) 3999960

Answer» The sum of all five digit numbers than can beformed using the digits 1, 2, 3, 4, 5 whenrepetition of digits is not allowed is(1) 366000(2) 660000 (3) 360000(4) 3999960
173.

If the cost of 1 kg of brass is Rs 180. How much money will Dinu pay for 4 kg brass ?

Answer» If the cost of 1 kg of brass is Rs 180. How much money will Dinu pay for 4 kg brass ?


174.

If 13 of the cake is shared among 3 people, how much does each person get?

Answer»

If 13 of the cake is shared among 3 people, how much does each person get?


175.

How many whole numbers are there between 32 and 53?

Answer» How many whole numbers are there between 32 and 53?
176.

Write shaded portion as fraction. Arrange them in ascending anddescending order using correct sign ‘&lt;’, ‘=’,‘&gt;’ between the fractions:(a) (b) (c) Show onthe number line. Put appropriate signs between the fractions given.

Answer»

Write shaded portion as fraction. Arrange them in ascending and
descending order using correct sign ‘<’, ‘=’,
‘>’ between the fractions:


(a)



(b)



(c) Show
on
the number line. Put appropriate signs between the fractions given.


177.

Explain with example that product of any fraction with its reciprocal will always be 1.

Answer» Explain with example that product of any fraction with its reciprocal will always be 1.
178.

36. A hollow Garden roller 63 cm wide with a girth of 440 cm ,is made of 4 cm thick iron. Find the volume of the iron.

Answer» 36. A hollow Garden roller 63 cm wide with a girth of 440 cm ,is made of 4 cm thick iron. Find the volume of the iron.
179.

Question 9Only one of the four options is correct. Write the correct one.There are 'b' boys and 'g' girls in a class. The ratio of the number of boys to the total number of students in the class is:a) bb+gb) gb+gc) bgd) b+gb

Answer»

Question 9



Only one of the four options is correct. Write the correct one.



There are 'b' boys and 'g' girls in a class. The ratio of the number of boys to the total number of students in the class is:



a) bb+g



b) gb+g



c) bg



d) b+gb





180.

prove (A intersection B)' = A' union B'

Answer» prove (A intersection B)' = A' union B'
181.

Before finding the value of 60, what is the value of 06? Your answer should be a number. ___

Answer»

Before finding the value of 60, what is the value of 06? Your answer should be a number.

___
182.

In the given figure, O is the centre of the circle. If ∠CEA = 30°, Find the values of x, y and z.

Answer» In the given figure, O is the centre of the circle. If ∠CEA = 30°, Find the values of x, y and z.



183.

The average precipitation and storm duration over a catchment area of 10km2 is as follows :1. 30 mm/hr for 1 h2. 40 mm/hr for 1 h3. 60 mm/hr for 1 hIf the total observed runoff is 120 ha.m.then value of ϕ index is ______ mm/hr3.33

Answer» The average precipitation and storm duration over a catchment area of 10km2 is as follows :

1. 30 mm/hr for 1 h

2. 40 mm/hr for 1 h

3. 60 mm/hr for 1 h

If the total observed runoff is 120 ha.m.then value of ϕ index is ______ mm/hr
  1. 3.33
184.

6.What is the difference between geometry and shape of a compound?

Answer» 6.What is the difference between geometry and shape of a compound?
185.

Which of the following option correctly describes the given figure?

Answer»

Which of the following option correctly describes the given figure?


186.

If two interior angles of a hexagon are 70∘ and 50∘ and all the remaining interior angles are equal to x∘, then x = ___.

Answer»

If two interior angles of a hexagon are 70 and 50 and all the remaining interior angles are equal to x, then x = ___.


187.

What fraction of the given shape is painted red ?

Answer»

What fraction of the given shape is painted red ?


188.

Alex runs 1 lap of 400 m track in 8 minutes and Shalini completes 1 lap of the same track in 5 minutes. If they started at the same time when will they complete a lap together?

Answer» Alex runs 1 lap of 400 m track in 8 minutes and Shalini completes 1 lap of the same track in 5 minutes. If they started at the same time when will they complete a lap together?
189.

Show the numbers -7 and +8 on the number line.

Answer» Show the numbers -7 and +8 on the number line.


190.

Question 61Solve the following:5(x-1)-2(x+8)=0

Answer»

Question 61



Solve the following:



5(x-1)-2(x+8)=0



191.

(-56)+65+(-34)+(-23)+34

Answer» (-56)+65+(-34)+(-23)+34
192.

भाव-सौंदर्य स्पष्ट कीजिए-मिट्टी में रस होगा ही जब वह पोसेगी बीज कोहम इसको क्या कर डालें इस अपने मन की खीज को?गोड़ो गोड़ो गोड़ो

Answer» भाव-सौंदर्य स्पष्ट कीजिए-



मिट्टी में रस होगा ही जब वह पोसेगी बीज को

हम इसको क्या कर डालें इस अपने मन की खीज को?

गोड़ो गोड़ो गोड़ो
193.

Question 29 Fill in the blank to make the statement true. The number of common points in the two angles marked in the given figure is ______.

Answer»

Question 29

Fill in the blank to make the statement true.

The number of common points in the two angles marked in the given figure is ______.

194.

The dimensions of a brick are 20 cm x 10 cm x 8 cm. The dimensions of the cement paste alongside it is 1 cm x 1 cm x 1 cm. What will the new dimensions of the brick be, once the cement paste is applied around the brick?

Answer» The dimensions of a brick are 20 cm x 10 cm x 8 cm. The dimensions of the cement paste alongside it is 1 cm x 1 cm x 1 cm. What will the new dimensions of the brick be, once the cement paste is applied around the brick?
195.

Students of a small school use different modes of travel to school as shown below: Mode Bus Car Bicycle Auto On foot No. of students 142 98 50 34 16 Draw a suitable bar graph.

Answer» Students of a small school use different modes of travel to school as shown below:




















Mode



Bus



Car



Bicycle



Auto



On foot



No. of students



142



98



50



34



16





Draw a suitable bar graph.
196.

Prime factorization of 20 is

Answer»

Prime factorization of 20 is

197.

In an exhibition, the number of rounds of the Giant wheel rotated for a person are charged as follows. Check whether the rotation charges are in direct proportion with the number of rounds of the Giant wheel. [2 MARKS]4 Rounds Rs.508 Rounds Rs.8012 Rounds Rs.12024 Rounds Rs.180

Answer»

In an exhibition, the number of rounds of the Giant wheel rotated for a person are charged as follows. Check whether the rotation charges are in direct proportion with the number of rounds of the Giant wheel. [2 MARKS]



4 Rounds Rs.50



8 Rounds Rs.80



12 Rounds Rs.120



24 Rounds Rs.180





198.

Question 2(a): Draw a rough sketch of a quadrilateral KLMN. State: Two pairs of opposite sides

Answer»

Question 2(a):

Draw a rough sketch of a quadrilateral KLMN.

State: Two pairs of opposite sides

199.

Show two different ways in which 18 can be represented as a rectangle.

Answer» Show two different ways in which 18 can be represented as a rectangle.
200.

Catherinethrew a dice 40 times and noted the number appearing each time asshown below: 1 3 5 6 6 3 5 4 1 6 2 5 3 4 6 1 5 5 6 1 1 2 2 3 5 2 4 5 5 6 5 1 6 2 3 5 2 4 1 5 Make a table and enter the data using tally marks. Find the numberthat appeared.(a) The minimum number of times(b) Themaximum number of times(c) Find those numbers that appear an equal number of times.

Answer»

Catherine
threw a dice 40 times and noted the number appearing each time as
shown below:

































































1



3



5



6



6



3



5



4



1



6



2



5



3



4



6



1



5



5



6



1



1



2



2



3



5



2



4



5



5



6



5



1



6



2



3



5



2



4



1



5






Make a table and enter the data using tally marks. Find the number
that appeared.



(a) The minimum number of times


(b) The
maximum number of times



(c) Find those numbers that appear an equal number of times.