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