173 + Interview Questions in NUMBERS IN GENERAL AWARENESS Page 1 InterviewSolution

1.	Smallest 5-digit number is-(a) 10000(b) 11111(c) 55555(d) 99999
Answer» Smallest 5-digit number is 10000.

Discussion

2.	A number when divided by the sum of 555 and 445 gives two times their difference as quotient and 30 as remainder. The number is (a) 220030 (b) 22030 (c) 1220 (d) 1250
Answer» (a) 220030 Divisor = 555+ 445 = 1000 Quotient = 2 × (555 – 445) = 220 Remainder = 30 \(\therefore\) Dividend = Divisor × Quotient + Remainder = 1000 × 220 + 30 = 220030.

2.

A number when divided by the sum of 555 and 445 gives two times their difference as quotient and 30 as remainder. The number is (a) 220030 (b) 22030 (c) 1220 (d) 1250

Answer»

(a) 220030

Divisor = 555+ 445 = 1000

Quotient = 2 × (555 – 445) = 220

Remainder = 30

\(\therefore\) Dividend = Divisor × Quotient + Remainder

= 1000 × 220 + 30 = 220030.

Discussion

3.	A number when divided by 296 leaves 75 as remainder. If the same number is divided by 37, the remainder obtained is (a) 2 (b) 1 (c) 11 (d) 8
Answer» (b) 1 Given number = 296n + 75 = 37 × 8 × n + (37 × 2 + 1) = 37(8n + 2) + 1 \(\therefore\) Required remainder = 1

3.

A number when divided by 296 leaves 75 as remainder. If the same number is divided by 37, the remainder obtained is (a) 2 (b) 1 (c) 11 (d) 8

Answer»

(b) 1

Given number = 296n + 75

= 37 × 8 × n + (37 × 2 + 1)

= 37(8n + 2) + 1

\(\therefore\) Required remainder = 1

Discussion

4.	If the remainder obtained by subtracting a number from its own square is 4 times the number, what is the number ? (a) 4 (b) 3 (c) 6 (d) 5
Answer» (d) 5 Let the number be x. Then, x² – x = 4x \(\Rightarrow\) x² = 5x \(\Rightarrow\) x = 5

4.

If the remainder obtained by subtracting a number from its own square is 4 times the number, what is the number ? (a) 4 (b) 3 (c) 6 (d) 5

Answer»

(d) 5

Let the number be x. Then,

x² – x = 4x \(\Rightarrow\) x² = 5x \(\Rightarrow\) x = 5

Discussion

5.	In the picture, the square on the hypotenuse of the top most right triangle is drawn. Calculate the area and the length of a side of the square.
Answer» Hypotenuse of first right triangle \(\sqrt{1^2+1^2}=\sqrt{1+1}=\sqrt{2}\) Hypotenuse of second right triangle \(\sqrt{\sqrt{2^2}+1^2}=\sqrt{2+1}=\sqrt{3}\) Hypotenuse of third right triangle \(\sqrt{\sqrt{3^2}+1^2}=\sqrt{3+1}=\sqrt{4}=2\) Hypotenuse of fourth right triangle \(\sqrt{2^2+1^2}=\sqrt{4+1}=\sqrt{5}\) i. e. the length of one side of square is \(\sqrt{5}\) Area \(\sqrt{5}\times\sqrt{5}\) = 5 sq. m

5.

In the picture, the square on the hypotenuse of the top most right triangle is drawn. Calculate the area and the length of a side of the square.

Answer»

Hypotenuse of first right triangle

\(\sqrt{1^2+1^2}=\sqrt{1+1}=\sqrt{2}\)

Hypotenuse of second right triangle

\(\sqrt{\sqrt{2^2}+1^2}=\sqrt{2+1}=\sqrt{3}\)

Hypotenuse of third right triangle

\(\sqrt{\sqrt{3^2}+1^2}=\sqrt{3+1}=\sqrt{4}=2\)

Hypotenuse of fourth right triangle

\(\sqrt{2^2+1^2}=\sqrt{4+1}=\sqrt{5}\)

i. e. the length of one side of square is \(\sqrt{5}\)

Area \(\sqrt{5}\times\sqrt{5}\) = 5 sq. m

Discussion

6.	We have seen how we can draw a series of right triangles as in the picture.(i) What are the lengths of the sides of the tenth triangle drawn like this?(ii) How much more is the perimeter of the tenth triangle than the perimeter of the ninth triangle?(iii) How do we write in algebra, the difference in perimeter of the n‘h triangle and that of the triangle just before it?
Answer» (i) Sides of the first triangle = 1 m, 1 m, \(\sqrt{2}\) m Sides of the second triangle = 1 m, \(\sqrt{2}\) m, \(\sqrt{3}\) m Sides of the third triangle = 1 m, \(\sqrt{3}\) m, \(\sqrt{4}\) m …………… …………… Sides of the tenth triangle = 1 m, \(\sqrt{10}\) m, \(\sqrt{11}\) m Hypotenuse of the 10^th triangle is \(\sqrt{11}\) Perpendicular sides are \(\sqrt{10}\), 1 (ii) Perimeter of tenth triangle = 1 m + \(\sqrt{10}\) m + \(\sqrt{11}\) m Perimeter of ninth triangle = 1 m + \(\sqrt{9}\) m + \(\sqrt{10}\) m More in the perimeter \(=(\sqrt{10}+\sqrt{11}+1)-(\sqrt{9}+\sqrt{10}+1)\) \(=\sqrt{11}-\sqrt{9}\) = \((\sqrt{11}-3)\)m (iii) Sides of the n^th triangle are \(\sqrt{n}\), \(\sqrt{n}\) + 1, 1 The sides of the (n – 1)^thtriangle are \(\sqrt{n}-1,\) \(\sqrt{n},\) 1 The difference in perimeter \(=(\sqrt{n}+1)-(\sqrt{n}-1)\)

6.

We have seen how we can draw a series of right triangles as in the picture.(i) What are the lengths of the sides of the tenth triangle drawn like this?(ii) How much more is the perimeter of the tenth triangle than the perimeter of the ninth triangle?(iii) How do we write in algebra, the difference in perimeter of the n‘h triangle and that of the triangle just before it?

Answer»

(i) Sides of the first triangle = 1 m, 1 m, \(\sqrt{2}\) m

Sides of the second triangle = 1 m, \(\sqrt{2}\) m, \(\sqrt{3}\) m

Sides of the third triangle = 1 m, \(\sqrt{3}\) m, \(\sqrt{4}\) m

……………

Sides of the tenth triangle = 1 m, \(\sqrt{10}\) m, \(\sqrt{11}\) m

Hypotenuse of the 10^th triangle is \(\sqrt{11}\)

Perpendicular sides are \(\sqrt{10}\), 1

(ii) Perimeter of tenth triangle

= 1 m + \(\sqrt{10}\) m + \(\sqrt{11}\) m

Perimeter of ninth triangle = 1 m + \(\sqrt{9}\) m + \(\sqrt{10}\) m

7.	What is the total length of the line joining two lines of lengths √2cm, √3. Find the length correct to 3 decimal places.
Answer» Length of the line = \(\sqrt{2}\)cm + \(\sqrt{3}\) = 1.414 + 1.732 = 3.146 cm

What is the total length of the line joining two lines of lengths √2cm, √3. Find the length correct to 3 decimal places.

Answer»

Length of the line = \(\sqrt{2}\)cm + \(\sqrt{3}\)

= 1.414 + 1.732 = 3.146 cm

Discussion

8.	A Poultry has produced 15472 eggs and fits 30 eggs in a tray. How many trays do they need?
Answer» Total eggs = 15472 No. of eggs in 1 tray = 30 No. of trays needed = 15472 ÷ 30 = 516 No. of trays needed = 516 [515 + 1 for remaining 22 eggs]

8.

A Poultry has produced 15472 eggs and fits 30 eggs in a tray. How many trays do they need?

Answer»

Total eggs = 15472

No. of eggs in 1 tray = 30

No. of trays needed = 15472 ÷ 30

= 516

No. of trays needed = 516 [515 + 1 for remaining 22 eggs]

Discussion

9.	Rs 62500 was equally distributed as a New Year bonus for 25 employees of a company. How much did each receive?
Answer» Total amount = Rs 62500 Total number of employees = 25 Bonus amount received by each employee = Rs 62500 ÷ 25 = RS \(\frac{62500}{25}\) = Rs 2500

9.

Rs 62500 was equally distributed as a New Year bonus for 25 employees of a company. How much did each receive?

Answer»

Total amount = Rs 62500

Total number of employees = 25

Bonus amount received by each employee = Rs 62500 ÷ 25

= RS \(\frac{62500}{25}\)

= Rs 2500

Discussion

10.	Mullaikodi has 25 bags of apples. In each bag there are 9 apples. She shares them equally amongst her 6 friends. How many apples do each get? Are there any apples left over?
Answer» No of apple bags = 25 Apples in each bag = 9 Total no of apples = 25 x 9 = 225 Apples shared among her 6 friends = 225 ÷ 6 So, among her 6 friends, each of them get 37 apples and 3 apples are left over.

10.

Mullaikodi has 25 bags of apples. In each bag there are 9 apples. She shares them equally amongst her 6 friends. How many apples do each get? Are there any apples left over?

Answer»

No of apple bags = 25

Apples in each bag = 9

Total no of apples = 25 x 9

= 225

Apples shared among her 6 friends = 225 ÷ 6

So, among her 6 friends, each of them get 37 apples and 3 apples are left over.

Discussion

11.	Which of the following properties are true? (A) `(14) divide (-2) = 7` (B) `(-14) divide 2 = -7` (C) `(-14) divide (-2)= 7`A. A, BB. B, CC. A, CD. A, B, C
Answer» Correct Answer - B (B) and (C) are true. Hence, the correct option is (b).

Discussion

12.	Which of the following statement is true?A. If there is a drop of `4^(@)C, " from"-10^(@)`C, the result is `-6^(@)`C.B. 525 m above sea level is denoted as -525 mC. \|-5\|-\|-3\| = \|-8\|D. The absolute value of an integer is never less than the integer itself.
Answer» Correct Answer - D The absolute value of an integer is always greater than or equal to the integer itself. Hence, the correct option is (d).

Discussion

13.	`8-bar(3-2)` =____.
Answer» Correct Answer - 7 `8-bar(3-2)` = 8-1 = 7

Discussion

14.	`5 xx 2 +4`=____.
Answer» Correct Answer - 14 `5 xx 2 + 4 = 10 + 4 =14`

Discussion

15.	`9 xx (-13)-13`=____.
Answer» Correct Answer - -130 `9 xx (-13) - 13` = - 117 - 13 =-130

Discussion

16.	Fill in the blanks. (i) The difference between the smallest natural number and the smallest whole number is __(ii) 17 x __ = 34 x 17 (iii) When __ is added to a number, it remains the same. (iv) Division by __ is not defined. (v) Multiplication by __ leaves a number unchanged.
Answer» (i) 1 1 – 0 = 1 (ii) 34 (iii) 0 (iv) 0 (v) 1

16.

Fill in the blanks. (i) The difference between the smallest natural number and the smallest whole number is (ii) 17 x = 34 x 17 (iii) When is added to a number, it remains the same. (iv) Division by is not defined. (v) Multiplication by __ leaves a number unchanged.

Answer»

(i) 1

1 – 0 = 1

(ii) 34

(iii) 0

(iv) 0

(v) 1

Discussion

17.	`15 divide 3 xx 5-10`=____.A. 15B. -9C. -3D. 20
Answer» Correct Answer - A `15 divide 3 xx 5 - 10` ` = 5 xx 5-10 = 15` Hence, the correct option is (a).

Discussion

18.	Say True or False1. The difference between the smallest number of seven digits and the largest number of six digits is 10. 2. The largest 4-digit number formed by the digits 8, 6, 0, 9 using each digit only once is 9086. 3. The total number of 4-digit numbers is 9000.
Answer» 1. False 2. False 3. True

18.

Say True or False1. The difference between the smallest number of seven digits and the largest number of six digits is 10. 2. The largest 4-digit number formed by the digits 8, 6, 0, 9 using each digit only once is 9086. 3. The total number of 4-digit numbers is 9000.

Answer»

1. False

2. False

3. True

Discussion

19.	Say True or False. 1. 0 is the identity for multiplication of whole numbers. 2. Sum of two whole numbers is always less than their product. 3. Both addition and multiplication are associative for whole numbers. 4. Both addition and multiplication are commutative for whole numbers. 5. Multiplication is distributive over addition for whole numbers.
Answer» 1. False 2. False 3. True 4. True 5. True

19.

Say True or False. 1. 0 is the identity for multiplication of whole numbers. 2. Sum of two whole numbers is always less than their product. 3. Both addition and multiplication are associative for whole numbers. 4. Both addition and multiplication are commutative for whole numbers. 5. Multiplication is distributive over addition for whole numbers.

Answer»

1. False

2. False

3. True

4. True

5. True

Discussion

20.	Say True or False. 1. 3 + 9 x 8 = 962. 7 x 20 – 4 = 136 3. 40 + (56 – 6) ÷ 2 = 45
Answer» 1. False 2. True 3. False

20.

Say True or False. 1. 3 + 9 x 8 = 962. 7 x 20 – 4 = 136 3. 40 + (56 – 6) ÷ 2 = 45

Answer»

1. False

2. True

3. False

Discussion

21.	`5 divide 5 divide5`=____.A. 5B. `(1)/(5)`C. 25D. `(1)/(25)`
Answer» Correct Answer - B `5 divide 5 divide 5= 1 divide 5 = (1)/(5)` Hence, the correct option is (b).

Discussion

22.	The difference between the greatest and the smallest numbers formed by all the digits 2, 3, 5, and 7 is XYZX, where X, Y, Z are digits, then X is___.A. 5B. 8C. 9D. 10
Answer» Correct Answer - A XYZX = 7532 - 2357 = 5175 `therefore x = 5` Hence, the correct option is (a).

Discussion

23.	If x = 7, y = -6 and z = -2, find the value of i. (x + y) + z ii. x + (y + z) iii. xyz iv. (x + y)z v. xy + xz
Answer» i. (x + y) + z = (7 + -6) + -2 = 1 – 2 = -1 ii. x + (y + z) = 7 + (-6 + -2) = 7 – 8 = -1 iii. xyz = 7 × -6 × -2 = 84 iv. (x + y)z = (7 + -6) × -2 = 1 × -2 = -2 v. xy + xz = (7 × -6) + (7 × -2) = -42 – 14 = -56

23.

If x = 7, y = -6 and z = -2, find the value of i. (x + y) + z ii. x + (y + z) iii. xyz iv. (x + y)z v. xy + xz

Answer»

i. (x + y) + z = (7 + -6) + -2 = 1 – 2 = -1

ii. x + (y + z) = 7 + (-6 + -2)

= 7 – 8 = -1

iii. xyz = 7 × -6 × -2 = 84

iv. (x + y)z = (7 + -6) × -2

= 1 × -2 = -2

v. xy + xz = (7 × -6) + (7 × -2)

= -42 – 14

= -56

Discussion

24.	If x = 8 and y = -3; find the values of x + y, y + x, x – y, y – x, -x – y and – y – x
Answer» x + y = 8 + -3 = 5 y + x = -3 + 8 = 5 x – y = 8 – (-3) = 8 + 3 = 11 y – x = -3 – 8 = -11 – x – y = -8 – (-3) = -8 + 3 = -5 -y – x = -(-3) – 8 = 3 – 8 = -5

24.

If x = 8 and y = -3; find the values of x + y, y + x, x – y, y – x, -x – y and – y – x

Answer»

x + y = 8 + -3 = 5

y + x = -3 + 8 = 5

x – y = 8 – (-3) = 8 + 3 = 11

y – x = -3 – 8 = -11

– x – y = -8 – (-3) = -8 + 3 = -5

-y – x = -(-3) – 8 = 3 – 8 = -5

Discussion

25.	Which of the following is false ?A. `2 xx 7-7=0`B. `2 divide 3 xx 2 =10`C. `16 divide 8+ 8 = 1`D. All of these
Answer» Correct Answer - D All the given statements are false. Hence, the correct option is (d).

Discussion

26.	The sum of the successor and the predecessor of 100 is____.A. 198B. 199C. 200D. 201
Answer» Correct Answer - C The required sum = 101 + 99 = 200. Hence, the correct option is (c).

Discussion

27.	The number of digits in the successor of the greatest 4-digit number is____.A. 4B. 5C. 3D. 6
Answer» Correct Answer - B The greatest 4-digit number is 9999 and its successor is 10000 a 5 digit number. Hence, the correct option is (b).

Discussion

28.	Which of the following is true ?A. `4 divide 4 + 1=2`B. `5-2 xx 3 = 9`C. Both (a) and (b)D. None of these
Answer» Correct Answer - A `4 divide 4 + 1 = 1 + 1 = 2` Hence, the correct option is (a).

Discussion

29.	The absolute value of -36 is___.
Answer» Correct Answer - 36 \|-36\| = 36

Discussion

30.	A is neither positive nor negative B= -\|-8\|, C is the absolute value of -12. (i) A+B+C (ii) \|B + C\| Compare 2B, A and 3C
Answer» Correct Answer - (i) 4 (ii) 4 (iii) `2B lt A lt 3C` A = 0, B=-\|-8\| = -8 C= \|-12\| = 12 (i) A + B+C = 0 + (-8) + 12 = 4 (ii) \|B + C\| = \|-8 + 12\| = 4 (iii) `2B = 2 xx (-8) = -16` A = 0, 3C = `3 xx 12` = 36 `2B lt A lt 3C`

Discussion

31.	Consider the following statements : A number a1 a2 a3 a4 a5 a6 is divisible by 11 if 1. (a1 + a3 + a5 ) – (a2 + a4 + a6 ) = 0 2. (a1 + a3 + a5 ) – (a2 + a4 + a6 ) is divisible by 11 Which of these statements is/are correct ? (a) 1 alone (b) 2 alone (c) Both 1 and 2 (d) Neither 1 nor 2
Answer» (c) Both 1 and 2

Discussion

32.	The cost of a pen is the largest two-digit number (in Rs.). The cost of a text book and geometry box respectively are the successor and predecessor of the cost of the pen. Find the sum of the costs of the text book and geometry box (in Rs.)A. 197B. 198C. 200D. 201
Answer» Correct Answer - B The largest 2-digit number = 99 Therefore, the cost of a pen = Rs. 99 The successor and predecessor of 99 are 100 and 98. The sum of the costs of the text book and the geometry box = 98 + 100 = Rs. 198 Hence, the correct option is (b).

Discussion

33.	Write the following numbers in words. (i) 5,00,78,90,500 (ii) 1,01,00,17,000 (iii) 90,00,09,050
Answer» 5,00,78,90,500 (i) Five arab seventry eight lakh ninety thousand and five hundred. (ii) 1,01,00,17,000 One arab one crore seventeen thousand. (iii) 90,00,09,050 Ninety crores nine thousand and fifty.

Discussion

34.	Write the expanded form of twenty four lakh seventy five thousand and fifty six.
Answer» 2475056 = 2000000 + 400000 + 70000 + 5000 + 0 +50 + 6

Discussion

35.	Write 13,78,57,632 in the expanded form.
Answer» 10,00,00,000 + 3,00,00,000 + 70,00,000 + 8,00,000 + 50,000 + 4,000 + 600 + 30 +2

Discussion

36.	P is neither positive nor negative, Q = -\|-9\| and R is the absolute value of -13. Which of the following is the value of P +Q +R?A. 21B. 22C. 4D. -4
Answer» Correct Answer - C P = 0, Q =-9, R = 13 P +Q +R =0-9+13= 4 Hence, the correct option is (c).

Discussion

37.	Write the following in figures. (i) Six crore six lakh and six thousand (ii) Seven arab five crore three hundred and one (iii) Eighty eight crore ninety nine lakh fifty five thousand and seventy four
Answer» Correct Answer - (i) 6,06,06,000 (ii) 7, 05,00,00,301 (iii) 88, 99, 55,074 `(i) 6,06,06,000 " "(ii) 7,05,00,00,301` (iii) 88,99,55,074

Discussion

38.	Write all the possible 2-digt numbers using the digits 3, 4 and 5 without repeating any digit.
Answer» Correct Answer - six We are given 3 digits. We can make three 2-digit combinations. `{:("Digits", 3","4, 4","5, 5","3),(, 34, 45, 53),(, 43, 54, 35):}` `therefore " There exist six 2-digit numbers."`

Discussion

39.	Write the following in numerals-(a) Fifty three thousand five hundred seven(b) Fifty seven thousand one hundred sixty(c) Forty four thousand nine(d) Sixty six thousand nine hundred sixty nine(e) Seventy seven thousand twenty
Answer» (a) 53507 (b) 57160 (c) 44009 (d) 66969 (e) 77020

39.

Write the following in numerals-(a) Fifty three thousand five hundred seven(b) Fifty seven thousand one hundred sixty(c) Forty four thousand nine(d) Sixty six thousand nine hundred sixty nine(e) Seventy seven thousand twenty

Answer»

(a) 53507

(b) 57160

(c) 44009

(d) 66969

(e) 77020

Discussion

40.	Write the expanded form of the following and write in words. (i) 32,008 (ii) 7,00,050 (iii) 9,01,020
Answer» (i) 32,008 `= 3 xx 10000 + 2 xx 1000 + 0+ 0+ 8 xx 1` ` = 30000 + 2000 + 8` In words: Thirty two thousand and eight (ii) 7,00,050 ` = 7 xx 100000 + 0 + 0+ 0 + 5 xx 10 +0` = 700000+50 In words: Seven lakh and fifty. (iii) 9,01,020 `=9 xx 100000 + 0 + 1 xx 1000 + 0 + 2 xx 10 + 0` = 900000 + 1000 + 20 In words: Nine lakh one thousand and twenty.

Discussion

41.	Write the following numbers in figures. (i) Seventry nine crore seven hundred and seven (ii) Eighty nine lakh sixty four thousand and two (iii) Four arab thirty two crore sixty eight lakh thirty four thousand and seventry three
Answer» (i) 79,00,00,707 (ii) 89,64,002 (iii) 4,32,68,34,073

Discussion

42.	If 12 + 22 + 32 + ........ + 5122 = m, then 22 + 42 + 62 + ........ + 10242 is equal to (a) 3m (b) 4m (c) m2 (d) m3
Answer» (b) 4m 2² + 4² + 6² +........ + (1024)² = 2² (1² + 2² + 3² + ........ + 512² ) = 4m.

42.

If 12 + 22 + 32 + ........ + 5122 = m, then 22 + 42 + 62 + ........ + 10242 is equal to (a) 3m (b) 4m (c) m2 (d) m3

Answer»

(b) 4m

2² + 4² + 6² +........ + (1024)²

= 2² (1² + 2² + 3² + ........ + 512² ) = 4m.

Discussion

43.	Write True/False in front of the given box by examine True/False.1. 3578 < 3758 2. 57325 > 57533 3. 81111 < 79999 4. 80035 < 83500
Answer» (1) True (2) False (3) False (4) True.

43.

Write True/False in front of the given box by examine True/False.1. 3578 < 3758 2. 57325 > 57533 3. 81111 < 79999 4. 80035 < 83500

Answer»

(1) True

(2) False

(3) False

(4) True.

Discussion

44.	Examine the following statement whether they are true or false and write True/False in the box.1. 2979 > 2932 2. 5423 > 5432 3. 8952 = 8952 4. 9821 < 9799
Answer» (1) True (2) False (3) True (4) False

44.

Examine the following statement whether they are true or false and write True/False in the box.1. 2979 > 2932 2. 5423 > 5432 3. 8952 = 8952 4. 9821 < 9799

Answer»

(1) True

(2) False

(3) True

(4) False

Discussion

45.	Write the expanded form of following numbers –(i) 12372(ii) 23434(iii) 45302(iv) 75004(v) 68877
Answer» (i) 12372 = 10000 + 2000 + 300 + 70 + 2 (ii) 23434 = 20000 + 3000 + 400 + 30 + 4 (iii) 45302 = 40000 + 5000 + 300 + 00 + 2 (iv) 75004 = 70000 + 5000 + 000 + 00 + 4 (v) 68877 = 60000 + 8000 + 800 + 70 + 7

45.

Write the expanded form of following numbers –(i) 12372(ii) 23434(iii) 45302(iv) 75004(v) 68877

Answer»

(i) 12372 = 10000 + 2000 + 300 + 70 + 2

(ii) 23434 = 20000 + 3000 + 400 + 30 + 4

(iii) 45302 = 40000 + 5000 + 300 + 00 + 2

(iv) 75004 = 70000 + 5000 + 000 + 00 + 4

(v) 68877 = 60000 + 8000 + 800 + 70 + 7

Discussion

46.	Write the equivalent numbers of following expanded forms –(i) 40000 + 5000 + 700 + 70 + 2(ii) 60000 + 0000 + 000 + 20 + 6(iii) 30000 + 9000 + 900 + 00 + 8(iv) 50000 + 2000 + 800 + 10 + 1(v) 80000 + 0000 + 000 + 00 + 8
Answer» (i) 40000 + 5000 + 700 + 70 + 2 = 45772 (ii) 60000 + 0000 + 000 + 20 + 6 = 60026 (iii) 30000 + 9000 + 900 + 00 + 8 = 39908 (iv) 50000 + 2000 + 800 + 10 + 1 = 52811 (v) 80000 + 0000 + 000 + 00 + 8 = 80008

46.

Write the equivalent numbers of following expanded forms –(i) 40000 + 5000 + 700 + 70 + 2(ii) 60000 + 0000 + 000 + 20 + 6(iii) 30000 + 9000 + 900 + 00 + 8(iv) 50000 + 2000 + 800 + 10 + 1(v) 80000 + 0000 + 000 + 00 + 8

Answer»

(i) 40000 + 5000 + 700 + 70 + 2 = 45772

(ii) 60000 + 0000 + 000 + 20 + 6 = 60026

(iii) 30000 + 9000 + 900 + 00 + 8 = 39908

(iv) 50000 + 2000 + 800 + 10 + 1 = 52811

(v) 80000 + 0000 + 000 + 00 + 8 = 80008

Discussion

47.	Write True/False for the following statements in the given box.(i) Largest number formed by using digits 5,0, 6, 2, 1 is 65201.(ii) Place value of the digit 2 in the number 12756 is 2000. (iii) 5320 > 5230 (iv) In the number 23684 the face value at thousand’s place is 2.
Answer» (1) False (2) True (3) True (4) False

47.

Write True/False for the following statements in the given box.(i) Largest number formed by using digits 5,0, 6, 2, 1 is 65201.(ii) Place value of the digit 2 in the number 12756 is 2000. (iii) 5320 > 5230 (iv) In the number 23684 the face value at thousand’s place is 2.

Answer»

(1) False

(2) True

(3) True

(4) False

Discussion

48.	Write the expanded form of following numbers.(i) 74349(ii) 56804
Answer» (i) 74349 = 70000 + 4000 + 300 + 40 + 9 (ii) 56804 = 50000 + 6000 + 800 + 00 + 4

48.

Write the expanded form of following numbers.(i) 74349(ii) 56804

Answer»

(i) 74349 = 70000 + 4000 + 300 + 40 + 9

(ii) 56804 = 50000 + 6000 + 800 + 00 + 4

Discussion

49.	Identify True/False statements and write true/false in the box given in front of them.(1) Forty eight thousand five hundred two is written in numbers as 48502. (2) The number of expanded form 10000 + 800 + 70 + 3 is 1873.(3) We Read the number 40009 in words as four thousand nine.(4) The place value of 2 in number 73208 is 200.
Answer» (1) True (2) False (3) False (4) True

49.

Identify True/False statements and write true/false in the box given in front of them.(1) Forty eight thousand five hundred two is written in numbers as 48502. (2) The number of expanded form 10000 + 800 + 70 + 3 is 1873.(3) We Read the number 40009 in words as four thousand nine.(4) The place value of 2 in number 73208 is 200.

Answer»

(1) True

(2) False

(3) False

(4) True

Discussion

50.	Arrange the following numbers in greatest to smallest-56392, 45005, 67645, 39090, 74567
Answer» Greatest to smallest order of the following numbers is- 74567, 67645, 56392, 45005, 39090

50.

Arrange the following numbers in greatest to smallest-56392, 45005, 67645, 39090, 74567

Answer»

Greatest to smallest order of the following numbers is-

74567, 67645, 56392, 45005, 39090

Discussion

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Smallest 5-digit number is-(a) 10000(b) 11111(c) 55555(d) 99999

A number when divided by the sum of 555 and 445 gives two times their difference as quotient and 30 as remainder. The number is (a) 220030 (b) 22030 (c) 1220 (d) 1250

A number when divided by 296 leaves 75 as remainder. If the same number is divided by 37, the remainder obtained is (a) 2 (b) 1 (c) 11 (d) 8

If the remainder obtained by subtracting a number from its own square is 4 times the number, what is the number ? (a) 4 (b) 3 (c) 6 (d) 5

In the picture, the square on the hypotenuse of the top most right triangle is drawn. Calculate the area and the length of a side of the square.

What is the total length of the line joining two lines of lengths √2cm, √3. Find the length correct to 3 decimal places.

A Poultry has produced 15472 eggs and fits 30 eggs in a tray. How many trays do they need?

Rs 62500 was equally distributed as a New Year bonus for 25 employees of a company. How much did each receive?

Mullaikodi has 25 bags of apples. In each bag there are 9 apples. She shares them equally amongst her 6 friends. How many apples do each get? Are there any apples left over?

Which of the following properties are true? (A) `(14) divide (-2) = 7` (B) `(-14) divide 2 = -7` (C) `(-14) divide (-2)= 7`A. A, BB. B, CC. A, CD. A, B, C

Which of the following statement is true?A. If there is a drop of `4^(@)C, " from"-10^(@)`C, the result is `-6^(@)`C.B. 525 m above sea level is denoted as -525 mC. |-5|-|-3| = |-8|D. The absolute value of an integer is never less than the integer itself.

`8-bar(3-2)` =____.

`5 xx 2 +4`=____.

`9 xx (-13)-13`=____.

Fill in the blanks. (i) The difference between the smallest natural number and the smallest whole number is __(ii) 17 x __ = 34 x 17 (iii) When __ is added to a number, it remains the same. (iv) Division by __ is not defined. (v) Multiplication by __ leaves a number unchanged.

`15 divide 3 xx 5-10`=____.A. 15B. -9C. -3D. 20

Say True or False1. The difference between the smallest number of seven digits and the largest number of six digits is 10. 2. The largest 4-digit number formed by the digits 8, 6, 0, 9 using each digit only once is 9086. 3. The total number of 4-digit numbers is 9000.

Say True or False. 1. 3 + 9 x 8 = 962. 7 x 20 – 4 = 136 3. 40 + (56 – 6) ÷ 2 = 45

`5 divide 5 divide5`=____.A. 5B. `(1)/(5)`C. 25D. `(1)/(25)`

The difference between the greatest and the smallest numbers formed by all the digits 2, 3, 5, and 7 is XYZX, where X, Y, Z are digits, then X is___.A. 5B. 8C. 9D. 10

If x = 7, y = -6 and z = -2, find the value of i. (x + y) + z ii. x + (y + z) iii. xyz iv. (x + y)z v. xy + xz

If x = 8 and y = -3; find the values of x + y, y + x, x – y, y – x, -x – y and – y – x

Which of the following is false ?A. `2 xx 7-7=0`B. `2 divide 3 xx 2 =10`C. `16 divide 8+ 8 = 1`D. All of these

The sum of the successor and the predecessor of 100 is____.A. 198B. 199C. 200D. 201

The number of digits in the successor of the greatest 4-digit number is____.A. 4B. 5C. 3D. 6

Which of the following is true ?A. `4 divide 4 + 1=2`B. `5-2 xx 3 = 9`C. Both (a) and (b)D. None of these

The absolute value of -36 is___.

A is neither positive nor negative B= -|-8|, C is the absolute value of -12. (i) A+B+C (ii) |B + C| Compare 2B, A and 3C

Consider the following statements : A number a1 a2 a3 a4 a5 a6 is divisible by 11 if 1. (a1 + a3 + a5 ) – (a2 + a4 + a6 ) = 0 2. (a1 + a3 + a5 ) – (a2 + a4 + a6 ) is divisible by 11 Which of these statements is/are correct ? (a) 1 alone (b) 2 alone (c) Both 1 and 2 (d) Neither 1 nor 2

The cost of a pen is the largest two-digit number (in Rs.). The cost of a text book and geometry box respectively are the successor and predecessor of the cost of the pen. Find the sum of the costs of the text book and geometry box (in Rs.)A. 197B. 198C. 200D. 201

Write the following numbers in words. (i) 5,00,78,90,500 (ii) 1,01,00,17,000 (iii) 90,00,09,050

Write the expanded form of twenty four lakh seventy five thousand and fifty six.

Write 13,78,57,632 in the expanded form.

P is neither positive nor negative, Q = -|-9| and R is the absolute value of -13. Which of the following is the value of P +Q +R?A. 21B. 22C. 4D. -4

Write the following in figures. (i) Six crore six lakh and six thousand (ii) Seven arab five crore three hundred and one (iii) Eighty eight crore ninety nine lakh fifty five thousand and seventy four

Write all the possible 2-digt numbers using the digits 3, 4 and 5 without repeating any digit.

Write the following in numerals-(a) Fifty three thousand five hundred seven(b) Fifty seven thousand one hundred sixty(c) Forty four thousand nine(d) Sixty six thousand nine hundred sixty nine(e) Seventy seven thousand twenty

Write the expanded form of the following and write in words. (i) 32,008 (ii) 7,00,050 (iii) 9,01,020

Write the following numbers in figures. (i) Seventry nine crore seven hundred and seven (ii) Eighty nine lakh sixty four thousand and two (iii) Four arab thirty two crore sixty eight lakh thirty four thousand and seventry three

If 12 + 22 + 32 + ........ + 5122 = m, then 22 + 42 + 62 + ........ + 10242 is equal to (a) 3m (b) 4m (c) m2 (d) m3

Write True/False in front of the given box by examine True/False.1. 3578 &lt; 3758 2. 57325 &gt; 57533 3. 81111 &lt; 79999 4. 80035 &lt; 83500

Examine the following statement whether they are true or false and write True/False in the box.1. 2979 &gt; 2932 2. 5423 &gt; 5432 3. 8952 = 8952 4. 9821 &lt; 9799

Write the expanded form of following numbers –(i) 12372(ii) 23434(iii) 45302(iv) 75004(v) 68877

Write the equivalent numbers of following expanded forms –(i) 40000 + 5000 + 700 + 70 + 2(ii) 60000 + 0000 + 000 + 20 + 6(iii) 30000 + 9000 + 900 + 00 + 8(iv) 50000 + 2000 + 800 + 10 + 1(v) 80000 + 0000 + 000 + 00 + 8

Write True/False for the following statements in the given box.(i) Largest number formed by using digits 5,0, 6, 2, 1 is 65201.(ii) Place value of the digit 2 in the number 12756 is 2000. (iii) 5320 &gt; 5230 (iv) In the number 23684 the face value at thousand’s place is 2.

Write the expanded form of following numbers.(i) 74349(ii) 56804

Arrange the following numbers in greatest to smallest-56392, 45005, 67645, 39090, 74567

Fill in the blanks. (i) The difference between the smallest natural number and the smallest whole number is (ii) 17 x = 34 x 17 (iii) When is added to a number, it remains the same. (iv) Division by is not defined. (v) Multiplication by __ leaves a number unchanged.

Write True/False in front of the given box by examine True/False.1. 3578 < 3758 2. 57325 > 57533 3. 81111 < 79999 4. 80035 < 83500

Examine the following statement whether they are true or false and write True/False in the box.1. 2979 > 2932 2. 5423 > 5432 3. 8952 = 8952 4. 9821 < 9799

Write True/False for the following statements in the given box.(i) Largest number formed by using digits 5,0, 6, 2, 1 is 65201.(ii) Place value of the digit 2 in the number 12756 is 2000. (iii) 5320 > 5230 (iv) In the number 23684 the face value at thousand’s place is 2.