Question
Find the smallest positive integer which when divided by
5, 7 and 9 leaves a remainder 4 in each case.Solution
If N leaves remainder 4 when divided by 5, 7, 9, then N − 4 is divisible by all 5, 7, 9. LCM(5,7,9): 5 = 5 7 = 7 9 = 3² LCM = 5 × 7 × 3² = 5 × 7 × 9 = 315 So N − 4 = 315k ⇒ N = 315k + 4 Smallest positive N when k = 1: N = 315 × 1 + 4 = 319 Check: 319 ÷ 5 → remainder 4 319 ÷ 7 → 7×45 = 315, remainder 4 319 ÷ 9 → 9×35 = 315, remainder 4 Answer: 319.
Find the correct spelling of the word given below.
Four words are given, out of which only one word is spelt correctly. Choose the correctly spelt word and click the button corresponding to it.
...Select the correctly spelt word
- Choose the correctly spelled word from the options below:
Nothing explains India’s (1)/ job creation challenge (2)/ better than a comparison (3)/ among RIL and Shahi Exports (4)/ No error (5).
From the options given below, select the option which states the correct combination of incorrect sentences.
I. Recently, there has been a lot of...
As Bangladesh commemorates (A) 50 years of its historic victory, it is worth revisiting (B) exactly why Pakistanrsquo;s leadership has remained hesitant...
Select the correct spelling of the word.
A. Tranquilize Â
B. Trenquilise Â
C. Tranqeilize Â
D. Tranquelise Â
...
(A) Imaginery   Â
(B) Dictionary
(C) Itinerery   Â
(D) Stationerry
In each of the questions below, a sentence is given with four words highlighted in bold in the sentence. Among these bold words, one may be wrongly spe...
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