Question
Find the greatest 4-digit number which is exactly
divisible by 12, 15 and 21.Solution
We need a multiple of LCM(12, 15, 21) that is ≤ 9999. Prime factors: 12 = 2² × 3 15 = 3 × 5 21 = 3 × 7 LCM = 2² × 3 × 5 × 7 = 4 × 3 × 5 × 7 = 420 Greatest 4-digit number = 9999 Check how many 420s fit in 9999: 9999 ÷ 420 ≈ 23.8 Largest integer ≤ 23.8 is 23 Required number = 420 × 23 = 9660
Issue
I. Politicians proposed popular sovereignty as a means of entrusting the issue to citizens of new territories.
II. I found an old is...
Dearth
(i) They were wholly deaf to my arguments, or failed to perceive their force, and fell into a strain of invective that was irresistible.
Choose the word that roughly means the same as the word highlighted in the sentence.
The committee's decision to fund the project was agr...
Complement
i. The red wine was a perfect complement to the steak dinner last night.
ii. She received a comple...
- Below a word is given in three sentences. Find out which one/ones make/makes a correct usage of the given word and mark the option accordingly. If the sent...
In each of the questions below four words are highlighted in the sentences. One of these four words printed in bold may be either wrongly spelt or inap...
Directions : A word is given in each question and used in three different sentences. You have to choose the sentence(s) in which the word is used correc...
In the following question, a word has been used in sentences in THREE different ways. Choose the option corresponding to the sentences in which the us...
Directions: In each question below, word is used in four different ways. Choose the option in which the usage of the word is INCORRECT or INAPPROPRIATE....
(i) lucrative
(ii) indulge
(iii) benevolent
(iv) malicious
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