Read each set of terms and identify the odd set
(a) Cow, milk, butter
(b) Hen, meat, egg
(c) Goat, milk, meat
(d) Plant, vegetable, butter milk
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Monika read a 210 page book in 7 days . She read the same number of pages each day . How many pages did she read each day ?
Solution: Number of pages read by Monika in one day = 210/7 = 30 So, she read 30 pages each day
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If the sum of first 7 terms of an AP is 49 and that of 17 terms is 289, find the sum of first n terms.
Sum of first n terms of A.P will be n2 Explanation : n1=7 Sn=49 we know that Sn = n/2{2a+(n-1)d} thus, Sn1=7/2(2a+6d)=49 =14a+42d=98 ... (1) x17 n2=17 Sn2=289 Sn2=17/2(2a+16d)=289 =34a+272d=578 ....(2) x7 from eq 1 & 2 238a +714d =1666 ...
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Match each of the set on the left in the roster form with the same set on the right described in set-builder form:
(i) All the elements of this set are natural numbers as well as the divisors of 6. Therefore, (i) matches with (c). (ii)It can be seen that 2 and 3 are prime numbers....
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Here are some false statements. Identify the mistake in each case and rewrite these correctly based on what you have read in this chapter.
(a) This is a true statement. (b) Members of the Constituent Assembly of India had different opinions on various provisions of the constitution. (c) This cannot be said with surety; in the...
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(iv) According to the Census 2001, a “literate” person is one who (a) Can read and write his/her name (b) Can read and write any language
(a) Can read and write his/her name
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Read carefully the terms given below. Which of the following set is the correct combination of organs that do not carry out any digestive functions?
(a) Oesophagus, Large Intestine, Rectum
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Read the following statements and give the appropriate terms for each of them.
(a) Weathering (b) Erosion (c) Soil pollution (d) Percolation
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If a and b are two odd positive integers such that a > b, then prove that one of the two numbers (a+b)/2 and (a-b)/2 is odd and the other is even.
Let, a = 2p+1, p∈N and b = 2q+1 , q∈N\(\cup\){0} \(\because\) a > b ⇒ 2p+1 > 2q+1 ⇒ p > q \(\frac{a+b}{2}\) = \(\frac{2p+1+2q+1}{2}\) = p+q+1 \(\frac{a-b}{2}\) = \(\frac{2p+1-(2q+1)}{2}\) = p-q Case-I: \(\frac{a+b}{2}\) is odd which implies p+q+1 is odd \(\Rightarrow\) p+q is even (\(\because\) odd - 1 = even) \(\Rightarrow\) p+q-2q...
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Here are some false statements. Identify the mistake in each case and rewrite these correctly based on what you have read in this chapter
(a) This is a true statement. (b) Members of the Constituent Assembly of India had different opinions on various provisions of the constitution. (c) This cannot be said with surety; in the context of information...
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The sum of the 4th and 8th terms of an AP is 24 and the sum of the 6th and the 10th terms is 44. Find the first three terms of the AP.
Solution: a + 3d + a + 7d = 24 Or, 2a + 10d = 24 Similarly, 2a + 14d = 44 So, 44 – 24 = 4d Or, d = 5 2a + 10x5...
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