The product of the place values of two 2’s in 428721 is
4
40000
400000
40000000
\(3\times10000+7\times1000+9\times100+0\times10+4\) equals
3794
37940
37904
379409
If 1 is added to the greatest 7-digit number, it equals
10 thousand
1 lakh
10 lakh
1 crore
The expanded form of 9578 is
\(9\times10000+5\times1000+7\times10+8\times1\)
\(9\times1000+5\times100+7\times10+8\times1\)
\(9\times1000+57\times10+8\times1\)
\(9\times100+5\times100+7\times10+8\times1\)
When rounded off to nearest thousands, 85642 is
85600
85700
85000
86000
The largest 4-digit number using any one digit twice from 5, 9, 2, 6 is
9652
9562
9659
9965
In Indian System of Numeration, 58695376 is written as
58,69, 53, 76
58,695,376
5,86,95,376
586,95,376
One million is equal to
1 lakh
10 lakh
1 crore
10 crore
The greatest number which on rounding off to nearest thousands gives 5000 is
5001
5559
5999
5499
Keeping the place of 6 fixed in 6350947, the smallest number by rearranging other digits is
6975430
6043579
6034579
6034759
Which Roman numeral is incorrect?
LXXX
LXX
LX
LLX
The largest 5-digit number having three different digits is
98978
99897
99987
98799
The smallest 4-digit number having three different digits is
1102
1012
1020
1002
Number of whole numbers between 38 and 68 is
31
30
29
28
The product of the successor and predecessor of 999 is
999000
998000
989000
1998
The product of a non-zero whole number and its successor is always
an even number
an odd number
a prime number
divisible by 3
A whole number is added to 25 and the same number is subtracted from 25. The sum of the results is
0
25
50
75
Which of the following is not true?
\( (7+8)+9 = 7+(8+9) \)
\( (7 imes8) imes9 = 7 imes(8 imes9) \)
\( 7 + 8 imes9 = (7+8) imes(7+9) \)
\( 7 imes(8+9) = (7 imes8)+(7 imes9) \)
Using dot (·) patterns, which number can be arranged as a line, a triangle and a rectangle?
9
10
11
12
Which statement is not true?
Addition and multiplication are associative for whole numbers.
Zero is the identity for multiplication of whole numbers.
Addition and multiplication are commutative for whole numbers.
Multiplication is distributive over addition.
Which statement is not true?
0+0=0
0-0=0
0\times0=0
0\div0=0
The predecessor of 1 lakh is
99000
99999
999999
100001
The successor of 1 million is
2 millions
1000001
100001
10001
Number of even numbers between 58 and 80 is
10
11
12
13
Sum of the number of primes between 16–80 and 90–100 is
20
18
17
16
Which statement is not true?
HCF of two distinct prime numbers is 1.
HCF of two coprime numbers is 1.
HCF of two consecutive even numbers is 2.
HCF of an even and an odd number is even.
The number of distinct prime factors of the largest 4-digit number is
2
3
5
11
The number of distinct prime factors of the smallest 5-digit number is
2
4
6
8
If \(7254*98\) is divisible by 22, the digit \(*)\) is
1
2
6
0
The largest number that always divides the sum of any pair of consecutive odd numbers is
2
4
6
8
A number is divisible by 5 and 6. It may not be divisible by
10
15
30
60
The sum of the prime factors of 1729 is
13
19
32
39
The greatest number which always divides the product of the predecessor and successor of an odd natural number \((\neq 1)\) is
6
4
16
8
The number of common prime factors of 75, 60 and 105 is
2
3
4
5
Which pair is not coprime?
8, 10
11, 12
1, 3
31, 33
Which of the following is divisible by 11?
1011011
1111111
22222222
3333333
LCM of two numbers is 180. Which of the following is not the HCF of the numbers?
45
60
75
90
In Roman numeration, a symbol is not repeated more than three times.
In Roman numeration, if a symbol is repeated, its value is multiplied as many times as it occurs.
\(5555=5\times1000+5\times100+5\times10+5\times1\).
\(39746=3\times10000+9\times1000+7\times100+4\times10+6\).
\(82546=8\times1000+2\times1000+5\times100+4\times10+6\).
\(532235=5\times100000+3\times10000+2\times1000+2\times100+3\times10+5\).
4578, 4587, 5478, 5487 are in descending order.
85764 rounded off to nearest hundreds is 85700.
Estimated sum of 7826 and 12469 rounded off to hundreds is 20,000.
The largest six-digit number using digits 5,3,4,7,0,8 once each is 875403.
81652318 is read as eighty one crore six lakh fifty two thousand three hundred eighteen.
The largest 4-digit number formed by 6,7,0,9 using each once is 9760.
Among kilo, milli and centi, the smallest is centi.
Successor of a one digit number is always a one digit number.
Successor of a 3-digit number is always a 3-digit number.
Predecessor of a two digit number is always a two digit number.
Between any two natural numbers, there is one natural number.
The smallest 4-digit number is the successor of the largest 3-digit number.
Of two natural numbers, the one having more digits is greater.
Natural numbers are not closed under multiplication.
Natural numbers are closed under subtraction.
1 is the identity for addition of whole numbers.
1 is the identity for multiplication of whole numbers.
There is a whole number which when added to a whole number, gives the number itself.
There is a natural number which when added to a natural number, gives the number itself.
If a whole number is divided by another whole number greater than the first one, the quotient is not equal to 0.
Any non-zero whole number divided by itself gives the quotient 1.
The product of two whole numbers need not be a whole number.
A whole number divided by another whole number greater than 1 never gives the quotient equal to the former.
Every multiple of a number is greater than or equal to the number.
The number of multiples of a given number is finite.
Sum of two consecutive odd numbers is always divisible by 4.
If a number divides three numbers exactly, it must divide their sum exactly.
If a number exactly divides the sum of three numbers, it must exactly divide the numbers separately.
If a number is divisible both by 2 and 3, then it is divisible by 12.
A number (≥3 digits) is divisible by 6 if its last two digits form a number divisible by 6.
A number with 4 or more digits is divisible by 8, if the last three digits form a number divisible by 8.
If the sum of the digits of a number is divisible by 3, then the number itself is divisible by 9.
All numbers which are divisible by 4 may not be divisible by 8.
The HCF of two or more numbers is greater than their LCM.
LCM of two or more numbers is divisible by their HCF.
LCM of two numbers is 28 and their HCF is 8.
LCM of two or more numbers may be one of the numbers.
HCF of two or more numbers may be one of the numbers.
Every whole number is the successor of another whole number.
Sum of two whole numbers is always less than their product.
If the sum of two distinct whole numbers is odd, then their difference also must be odd.
If the HCF of two numbers is one of the numbers, then their LCM is the other number.
The HCF of two numbers is smaller than the smaller of the numbers.
The LCM of two numbers is greater than the larger of the numbers.
The LCM of two coprime numbers is equal to the product of the numbers.
99.
(a) 10 million = ____ crore.
(b) 10 lakh = ____ million.
(a) 10 million = 1 crore.
(b) 10 lakh = 1 million.
100.
(a) 1 metre = ____ millimetres.
(b) 1 centimetre = ____ millimetres.
(c) 1 kilometre = ____ millimetres.
(a) 1000 mm
(b) 10 mm
(c) 1,000,000 mm
101.
(a) 1 gram = ____ milligrams.
(b) 1 litre = ____ millilitres.
(c) 1 kilogram = ____ milligrams.
(a) 1000 mg
(b) 1000 mL
(c) 1,000,000 mg
Height of a person is 1m 65cm. His height in millimetres is ____.
1650 mm
Length of river Narmada is about 1290 km. Its length in metres is ____.
1,290,000 m
The distance between Srinagar and Leh is 422 km. The same distance in metres is ____.
422,000 m
Writing of numbers from the greatest to the smallest is called an arrangement in ____ order.
descending
By reversing the order of digits of the greatest number made by five different non-zero digits, the new number is the ____ number of five digits.
smallest
By adding 1 to the greatest ____ digit number, we get ten lakh.
6
The number five crore twenty three lakh seventy eight thousand four hundred one can be written, using commas, in the Indian System of Numeration as ____.
5,23,78,401
In Roman Numeration, the symbol X can be subtracted from ____, M and C only.
L
The population of Pune was 2,538,473 in 2001. Rounded off to nearest thousands, the population was ____.
2,538,000
____ is the successor of the largest 3 digit number.
1000
If 0 is subtracted from a whole number, then the result is the ____ itself.
number
The smallest 6 digit natural number ending in 5 is ____.
100005
Whole numbers are closed under ____ and under ____.
Addition and multiplication
Natural numbers are closed under ____ and under ____.
Addition and multiplication
Division of a whole number by ____ is not defined.
0
Multiplication is distributive over ____ for whole numbers.
Addition
A number is a ____ of each of its factor.
multiple
The number of factors of a prime number is ____.
2
A number for which the sum of all its factors is equal to twice the number is called a ____ number.
prime
The numbers having more than two factors are called ____ numbers.
composite
Two numbers having only 1 as a common factor are called ____ numbers.
coprime
If a number has ____ in ones place, then it is divisible by 10.
0
A number is divisible by 5, if it has ____ or ____ in its ones place.
0 or 5
A number is divisible by ____ if it has any of the digits 0, 2, 4, 6, or 8 in its ones place.
2
If the sum of the digits in a number is a ____ of 3, then the number is divisible by 3.
multiple
If the difference between the sum of digits at odd places (from the right) and the sum of digits at even places (from the right) of a number is either 0 or divisible by ____, then the number is divisible by 11.
11
The LCM of two or more given numbers is the lowest of their common ____.
multiples
The HCF of two or more given numbers is the highest of their common ____.
factors
Given below are two columns – Column I and Column II. Match each item of Column I with the corresponding item of Column II.
| Column I | Column II |
|---|---|
| (i) The difference of two consecutive whole numbers | (a) odd |
| (ii) The product of two non-zero consecutive whole numbers | (b) 0 |
| (iii) Quotient when zero is divided by another non-zero whole number | (c) 3 |
| (iv) 2 added three times, to the smallest whole number | (d) 1 |
| (v) Smallest odd prime number | (e) 6 |
| (f) even |
(i) → (d) 1
(ii) → (f) even
(iii) → (b) 0
(iv) → (e) 6
(v) → (c) 3
Arrange the numbers in descending order: 8435, 4835, 13584, 5348, 25843
25843, 13584, 8435, 5348, 4835
Of the following numbers which is the greatest? Which is the smallest? 38051425, 30040700, 67205602
Greatest = 67205602, Smallest = 30040700
Write in expanded form:
(a) 74836
(b) 574021
(c) 8907010
(a) \(70000 + 4000 + 800 + 30 + 6\)
(b) \(500000 + 70000 + 4000 + 0 + 20 + 1\)
(c) \(8000000 + 900000 + 0 + 7000 + 0 + 10\)
As per the census of 2001, the population of four states are given. Arrange in ascending and descending order.
(a) Maharashtra: 96878627
(b) Andhra Pradesh: 76210007
(c) Bihar: 82998509
(d) Uttar Pradesh: 166197921
Ascending: Andhra Pradesh (76210007) < Bihar (82998509) < Maharashtra (96878627) < Uttar Pradesh (166197921)
Descending: Uttar Pradesh > Maharashtra > Bihar > Andhra Pradesh
The diameter of Jupiter is 142800000 metres. Write it with commas suitably according to International System of Numeration.
142,800,000
India’s population increased from 439 million in 1961 to 1028 million in 2001. Find total increase and write in Indian System with commas.
Increase = 589 million = 58,90,00,000
Radius of Earth = 6400 km, Radius of Mars = 4300 km. Whose radius is bigger and by how much?
Earth’s radius is bigger by 2100 km.
In 2001, populations of Tripura = 3,199,203 and Meghalaya = 2,318,822. Write in words.
Tripura: Thirty one lakh ninety nine thousand two hundred three
Meghalaya: Twenty three lakh eighteen thousand eight hundred twenty two
In a city, polio drops were given to 2,12,583 children in March 2008 and to 2,16,813 children in April. Find the difference.
Difference = 4230
A person had Rs 10,00,000. He purchased TV = 16580, Motorcycle = 45890, Flat = 870000. How much money left?
Rs 27,530 left
Out of 1,80,000 Vitamin A tablets, 18,734 distributed. Find remaining.
Remaining = 1,61,266
Chinmay had Rs 6,10,000. He gave Rs 87,500 to Jyoti, Rs 1,26,380 to Javed and Rs 3,50,000 to John. How much money left?
Rs 46,120 left
Find the difference between the largest 7-digit number and the smallest 8-digit number.
1
Mobile number: first 4 digits = 9, 9, 8, 7; last 3 digits = 3, 5, 5. Find remaining distinct digits to make greatest possible number.
Digits = 6, 4, 2
Mobile number: first 4 digits = 9,9,7,9. Make smallest number using one digit twice from 8,3,5,6,0.
Digits = 0,3,5,6,8 (with 0 used twice)
Five-digit number: Ten’s place digit = 4, Unit digit = 1/4 of ten’s place = 1, Hundred’s = 0, Thousand’s = 5×unit = 5, Ten-thousand’s = 2×ten’s = 8. Write number.
85041
Find sum of greatest and least 6-digit numbers formed by digits 2,0,4,7,6,5 (using each digit once).
1064201
A container has 35874 litres cold drink. How many bottles of 200 ml each?
179370 bottles
Population of a town = 450772. One out of 14 illiterate. Find number of illiterate persons.
32,198 illiterate persons
Make greatest and smallest 5-digit numbers using different digits, with 5 at ten’s place.
Greatest = 98756, Smallest = 10235
How many grams should be added to 2kg 300g to make it 5kg 68g?
2768 g
A box contains 50 biscuit packets each 120g. How many such boxes can be loaded in a van of 900kg?
150 boxes
Estimate each of the following by rounding off each number to nearest hundreds:
(a) 874 + 478
(b) 793 + 397
(c) 11244 + 3507
(d) 17677 + 13589
(a) 870 + 480 = 1350
(b) 790 + 400 = 1190
(c) 11200 + 3500 = 14700
(d) 17700 + 13600 = 31300
Estimate each of the following by rounding off each number to nearest tens:
(a) 11963 – 9369
(b) 76877 – 7783
(c) 10732 – 4354
(d) 78203 – 16407
(a) 11960 – 9370 = 2590
(b) 76880 – 7780 = 69100
(c) 10730 – 4350 = 6380
(d) 78200 – 16410 = 61790
Estimate each of the following products by rounding off each number to nearest tens:
(a) 87 × 32
(b) 311 × 113
(c) 3239 × 28
(d) 1385 × 789
(a) 90 × 30 = 2700
(b) 310 × 110 = 34100
(c) 3240 × 30 = 97200
(d) 1390 × 790 = 1098100
The population of a town was 78787 in 1991 and 95833 in 2001. Estimate the increase in population by rounding off each population to nearest hundreds.
17,100
Estimate the product \(758 \times 6784\) using the general rule.
\(\approx 5{,}600{,}000\)
A garment factory produced 216315 shirts, 182736 trousers and 58704 jackets in a year. Find the total production.
\(457{,}755\) items
Find the LCM of \(160, 170\) and \(90\).
\(24{,}480\)
A vessel has 13 litres 200 mL of juice. In how many glasses of capacity 60 mL can it be filled?
\(220\) glasses
Determine the sum of the following: (a) successor of 32, (b) predecessor of 49, (c) predecessor of the predecessor of 56, (d) successor of the successor of 67.
\(204\)
A tempo carries 482 boxes of 15 kg each and a van carries 518 boxes of the same weight. Find the total weight.
\(15{,}000\text{ kg}\)
Leela spent Rs 216766, Rs 122322, Rs 88234 and Rs 26780 on various items. Find the total amount spent.
Rs \(454{,}102\)
A box has 5 strips, each with 12 capsules of 500 mg medicine. Find the total weight of medicine in grams in 32 such boxes.
\(960\text{ g}\)
Find the least number that leaves remainder 2 when divided by 3, 4 and 5.
\(62\)
Oil volumes are 120 L, 180 L and 240 L. He fills equal-capacity tins to use all oil. What is the greatest capacity of a tin?
\(60\text{ L}\)
Find a 4-digit odd number using digits 1, 2, 4 and 5 once each such that interchanging the first and last digits gives a number divisible by 4.
One example: 2415
Using digits 1, 2, 3 and 4 only once, determine the smallest 4-digit number divisible by 4.
1324
Postal charges are Rs 20, Rs 28 and Rs 36. If stamps of one denomination are to be used, what is the greatest denomination needed?
Rs 4
Biscuit packets contain 12, 15 and 21 biscuits. Find the minimum number of packets of each brand to buy an equal number of biscuits of each brand.
\(35\) packets of 12, \(28\) packets of 15, and \(20\) packets of 21.
A room is 8 m 96 cm by 6 m 72 cm. Find the minimum number of square tiles of the same size needed to cover the floor.
12 tiles
A library has 780 English and 364 Science books. Each shelf must have the same number of books of each subject. What is the minimum number of books on each shelf?
104 books per shelf (52 of each subject)
A van stops every 6th block and a bus every 10th block in a colony of 1 to 100. At which block numbers will both stop?
Blocks 30, 60, 90
Test divisibility by 11: (a) 5335 (b) 9020814
(a) Divisible (b) Divisible
Using divisibility tests, determine which of the following are divisible by 4: (a) 4096 (b) 21084 (c) 31795012
All three: (a), (b) and (c)
Using divisibility tests, which of the following are divisible by 9? (a) 672 (b) 5652
Only (b) 5652