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4051.

Let bethe perpendicular to the line segment.Let andintersectin the point A. What is the measure of ∠PAY?

Answer»

Let
be
the perpendicular to the line segment.
Let
and
intersect
in the point A. What is the measure of ∠PAY?

4052.

Two goats are tied to two adjacent corners of a square plot off side 28m with ropes each 14m long . Find the area not Grazed by the goats in plot in metre square ?

Answer» Two goats are tied to two adjacent corners of a square plot off side 28m with ropes each 14m long . Find the area not Grazed by the goats in plot in metre square ?
4053.

The following bar graph shows the quantity of apple yeild in each tree:The average number of apples yeild per tree is .

Answer» The following bar graph shows the quantity of apple yeild in each tree:



The average number of apples yeild per tree is .
4054.

The ascending arrangement of 23,67,1321 is

Answer» The ascending arrangement of 23,67,1321 is
4055.

what is the reason of internal reflection in the rain drop?

Answer» what is the reason of internal reflection in the rain drop?
4056.

Find −45×37×1516×(−149)

Answer» Find 45×37×1516×(149)
4057.

There are 7 mangoes and 6 pineapples in a basket. Find the ratio of the number of pineapples to the total number of fruits.

Answer» There are 7 mangoes and 6 pineapples in a basket. Find the ratio of the number of pineapples to the total number of fruits.
4058.

There is a square plot with side length equal to 13 m. A farmer wanted to grow grass on half of his field and plough the remaining land. Find the area of land used to grow the grass.

Answer»

There is a square plot with side length equal to 13 m. A farmer wanted to grow grass on half of his field and plough the remaining land. Find the area of land used to grow the grass.


4059.

Aman obtained 410 marks out of 500 in CBSE XII examination while his brother Anish gets 536 marks out of 600 in IX class examination. Find whose performance is better?

Answer» Aman obtained 410 marks out of 500 in CBSE XII examination while his brother Anish gets 536 marks out of 600 in IX class examination. Find whose performance is better?
4060.

Question 136At the end of the 20th century, the world population was approximately 6.1×109 people. Express this population in usual form. How would you say this number in words?

Answer»

Question 136



At the end of the 20th century, the world population was approximately 6.1×109 people. Express this population in usual form. How would you say this number in words?



4061.

Question 3 (a) Fill in the blanks: (–8) + ___ = 0

Answer»

Question 3 (a)

Fill in the blanks:

(–8) + ___ = 0

4062.

How many matchboxes of size 4 cm × 3 cm × 1.5 cm can be packed in a cardboard box of size 30 cm × 30 cm × 20 cm ?

Answer» How many matchboxes of size 4 cm × 3 cm × 1.5 cm can be packed in a cardboard box of size 30 cm × 30 cm × 20 cm ?
4063.

Question 13Consider the statement: Ratio of breadth and length of a hall is 2 : 5. Complete the following table that shows some possible breadths and lengths of the hall.Breadth of the hall (in meters)10□40Length of the hall (in meters)2550□

Answer»

Question 13



Consider the statement: Ratio of breadth and length of a hall is 2 : 5. Complete the following table that shows some possible breadths and lengths of the hall.



Breadth of the hall (in meters)1040Length of the hall (in meters)2550



4064.

If f:A→B is a bijective function and if n(A)=6, then n(B) is equal to:

Answer»

If f:AB is a bijective function and if n(A)=6, then n(B) is equal to:

4065.

Which of the following do not have two pair of parallel sides?

Answer»

Which of the following do not have two pair of parallel sides?


4066.

Why only one line can pass through two given points

Answer» Why only one line can pass through two given points
4067.

The letters that form the word ALGEBRA are placed in a bowl. The probability of picking a letter other than “A” is.

Answer»

The letters that form the word ALGEBRA are placed in a bowl. The probability of picking a letter other than “A” is.

4068.

Insert one of the following <, >, =, ≤ .(-3) - (-4) ____ (-4) + (-3)

Answer»

Insert one of the following <, >, =, .


(-3) - (-4) ____ (-4) + (-3)



4069.

Which of the following solids will give this 2D image when sliced vertically ?

Answer» Which of the following solids will give this 2D image when sliced vertically ?
4070.

Question 33Percentages are___ to fractions with ___ equal to 100.

Answer»

Question 33



Percentages are___ to fractions with ___ equal to 100.



4071.

The following table gives the MPP of a factor. It is also known that the TPP at zero level of labour is zero. Determine its TPP and APP schedules. Units of labour123456EmploymentMPP50110150180180150

Answer»

The following table gives the MPP of a factor. It is also known that the TPP at zero level of labour is zero. Determine its TPP and APP schedules.

Units of labour123456EmploymentMPP50110150180180150

4072.

How many numbers are there between 987 and 1,087 which are divisible by 6?

Answer» How many numbers are there between 987 and 1,087 which are divisible by 6?




4073.

Question 1 (a) Subtract: Rs.18.25 from Rs.20.75

Answer»

Question 1 (a)

Subtract:

Rs.18.25 from Rs.20.75

4074.

Determine the area of the yellow coloured portion, if the area of a small square grid is 4 sq.cm.

Answer» Determine the area of the yellow coloured portion, if the area of a small square grid is 4 sq.cm.


4075.

Which of the following figures are symmetrical?

Answer»

Which of the following figures are symmetrical?

4076.

The Trial Balance of M/s. Gupta & Sons shows a difference of ₹ 52,200. To prepare the Final Account on 31st March, 2019, this difference is placed in a Suspense Account. Afterwards the following errors were disclosed. Pass the necessary entries to rectify them and show the Suspense Account.(i) Purchases Book total had been undercasted by ₹ 20,000.(ii) A cheque received from Vasudev for ₹ 7,800 had been debited in the Cash Book but not posted in Vasudev’s Personal Account.(iii) Returns Outward Book had been overcasted by ₹ 10,000.(iv) Goods returned by Yash Pal worth ₹ 15,000 have been entered in Returns Outward Book. However, Yash Pal’s Account is correctly posted.

Answer» The Trial Balance of M/s. Gupta & Sons shows a difference of ₹ 52,200. To prepare the Final Account on 31st March, 2019, this difference is placed in a Suspense Account. Afterwards the following errors were disclosed. Pass the necessary entries to rectify them and show the Suspense Account.

(i) Purchases Book total had been undercasted by ₹ 20,000.

(ii) A cheque received from Vasudev for ₹ 7,800 had been debited in the Cash Book but not posted in Vasudev’s Personal Account.

(iii) Returns Outward Book had been overcasted by ₹ 10,000.

(iv) Goods returned by Yash Pal worth ₹ 15,000 have been entered in Returns Outward Book. However, Yash Pal’s Account is correctly posted.
4077.

6. Prove the length of the perpendicular from origin upon the straight line joining the two points whose coordinates are (acosα ,asinα) and (bcosβ,bsinβ) is acos12(α - β)

Answer» 6. Prove the length of the perpendicular from origin upon the straight line joining the two points whose coordinates are (acosα ,asinα) and (bcosβ,bsinβ) is acos12(α - β)
4078.

Let L1 and L2 be the following straight lines.L1:x−11=y−1=z−13 and L2:x−1−3=y−1=z−11Suppose the straight line L:x−αl=y−1m=z−γ−2Lines in the plane containing L1 and L2 and passes through the point of intersection of L1 and L2. If the line L bisects the acute angle between the lines L1 and L2 then which of the following statements is/are TRUE?

Answer»

Let L1 and L2 be the following straight lines.

L1:x11=y1=z13 and L2:x13=y1=z11

Suppose the straight line

L:xαl=y1m=zγ2

Lines in the plane containing L1 and L2 and passes through the point of intersection of L1 and L2. If the line L bisects the acute angle between the lines L1 and L2 then which of the following statements is/are TRUE?

4079.

What are the different ways of arranging 32 flower pots in rectangular form?There are 32 flower pots in a garden. Express 32 as the product of its prime factors.

Answer» What are the different ways of arranging 32 flower pots in rectangular form?

There are 32 flower pots in a garden. Express 32 as the product of its prime factors.
4080.

8⅔ = ? . 9¾ = ?. 5⅜ = ? and like them .What is the rules to solving them

Answer» 8⅔ = ? . 9¾ = ?. 5⅜ = ? and like them .
What is the rules to solving them
4081.

Question 4 Draw a rough sketch of a regular octagon. (Use squared paper if you wish). Draw a rectangle by joining exactly four of the vertices of the octagon.

Answer»

Question 4

Draw a rough sketch of a regular octagon. (Use squared paper if you wish). Draw a rectangle by joining exactly four of the vertices of the octagon.

4082.

Find the area of an acute triangle of a given image.

Answer»

Find the area of an acute triangle of a given image.


4083.

Two lines AB and DE are parallel to each other. The line CM is parallel to both the lines AB and DE. AE and BD intersect each other at point C. If ∠ACB = 40∘ and ∠CED = 60∘, find the value of ∠BCM.

Answer»

Two lines AB and DE are parallel to each other. The line CM is parallel to both the lines AB and DE. AE and BD intersect each other at point C. If ACB = 40 and CED = 60, find the value of BCM.


4084.

Which one of the following graph shows the solution to the inequality x&gt;2?Note: In a number line, a closed circle on the number gets included in the solution, while an open circle on the number will not get included in the solution.

Answer»

Which one of the following graph shows the solution to the inequality x>2?



Note: In a number line, a closed circle on the number gets included in the solution, while an open circle on the number will not get included in the solution.

4085.

Find equivalent fractions for 87 with numerator as 64 denominator as 49

Answer» Find equivalent fractions for 87 with

  1. numerator as 64

  2. denominator as 49



4086.

Identify multiple lines of symmetry in the following figure:

Answer» Identify multiple lines of symmetry in the following figure:


4087.

In the algebraic equation 3x+4=2x+11, the value of the unknown is

Answer» In the algebraic equation 3x+4=2x+11, the value of the unknown is
4088.

14. simplify 12 * root 18 - 6 * root 20 - 3 * root 50 + 8 * root 45

Answer» 14. simplify 12 * root 18 - 6 * root 20 - 3 * root 50 + 8 * root 45
4089.

Which of the following statements is incorrect for Arrhenius rate constant equation? (A) It gives quantitative idea about K and T (B) As T increases K is increasing and A is decreasing (C) As Ea increases K is increasing (D) If Ea= 0 then K=A

Answer» Which of the following statements is incorrect for Arrhenius rate constant equation? (A) It gives quantitative idea about K and T (B) As T increases K is increasing and A is decreasing (C) As Ea increases K is increasing (D) If Ea= 0 then K=A
4090.

Question 3 (f) Using divisibility test, determine whether the given number is divisible by 6: 438750

Answer»

Question 3 (f)

Using divisibility test, determine whether the given number is divisible by 6:

438750

4091.

The perpendicular bisector of a line segment is ______ to the line segment that divides it into two equal parts.

Answer»

The perpendicular bisector of a line segment is ______ to the line segment that divides it into two equal parts.


4092.

Divide 9 by 3.3

Answer» Divide 9 by 3.
  1. 3
4093.

An angle is 23 times its supplementary angle, the measure of the angle is __________.

Answer» An angle is 23 times its supplementary angle, the measure of the angle is __________.
4094.

If aspect ratio of our TV screen is given by 16:9, it is the ratio of -

Answer»

If aspect ratio of our TV screen is given by 16:9, it is the ratio of -


4095.

Liam and Noah were playing badminton. They had a total of 10 shuttlecocks at the start of the game. They've used two shuttlecocks in three games. In the end, how many shuttlecocks are left?8

Answer» Liam and Noah were playing badminton. They had a total of 10 shuttlecocks at the start of the game. They've used two shuttlecocks in three games. In the end, how many shuttlecocks are left?
  1. 8
4096.

Question 1: Use the figure to name: (a) Four rays ​​

Answer»

Question 1: Use the figure to name:

(a) Four rays

4097.

Tap on the shape that has been divided into the smallest equal parts.

Answer»

Tap on the shape that has been divided into the smallest equal parts.

4098.

In the given figure red and blue lines are parallel to each other. are not the corresponding pair of angles among the options given below.

Answer»

In the given figure red and blue lines are parallel to each other. are not the corresponding pair of angles among the options given below.

4099.

Simplify 40 - [30 - {4 + 32 ÷ (10 - ¯¯¯¯¯¯¯¯¯¯¯¯4−2 )}]

Answer»

Simplify 40 - [30 - {4 + 32 ÷ (10 - ¯¯¯¯¯¯¯¯¯¯¯¯42 )}]


4100.

Which of the following options is the correct representation of 1138 on the number line?

Answer»

Which of the following options is the correct representation of 1138 on the number line?