alleryStart learning →The smallest prime number is
- 1
- 2
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- 5
Show answer and solution
Correct answer: B. 2
2 is the smallest prime (and the only even prime).
1 is neither prime nor composite by convention.
Indian Coast Guard Navik (Domestic) Number Properties — practice questions
Explore 54 free Number Properties questions in Indian Coast Guard Navik (Domestic) Quantitative Aptitude. Open each question or exercise to read its content, reference answers and available explanation.
Practise Number Properties with Quill →Number Properties questions and exercises with answers
Showing questions 1–30 of 54.
The smallest prime number isRead the answer and worked solution →How many positive divisors does 36 have?Read the answer and worked solution →What is the unit digit of 7^25?Read the answer and worked solution →The sum of the first 20 natural numbers isRead the answer and worked solution →Which of the following is divisible by 11?Read the answer and worked solution →The remainder when 2^10 is divided by 7 isRead the answer and worked solution →The LCM of 12, 15 and 20 isRead the answer and worked solution →The HCF of 48 and 72 isRead the answer and worked solution →The product of two numbers is 720 and their HCF is 12. Their LCM isRead the answer and worked solution →The largest number that divides 280 and 1245 leaving remainders 4 and 3 respectively isRead the answer and worked solution →If 20% of x = 60, then 40% of x isRead the answer and worked solution →In an exam, 30% candidates failed. If 350 students passed, the total number of candidates wasRead the answer and worked solution →Two numbers are 25% and 30% less than a third number. The first as a percent of the second isRead the answer and worked solution →A's salary is reduced by 10% and then increased by 10%. Net change isRead the answer and worked solution →A man sells two articles at Rs 480 each. On one he gains 20%, on the other he loses 20%. His overall loss isRead the answer and worked solution →The marked price of an article is 25% above CP. After a 10% discount, the profit percent isRead the answer and worked solution →A trader buys 12 oranges for Rs 10 and sells 10 oranges for Rs 12. His profit percent isRead the answer and worked solution →Pipes A and B can fill a tank in 12 and 15 hours respectively. Pipe C empties it in 20 hours. With all three open, the tank fills inRead the answer and worked solution →Two trains, 120 m and 80 m long, run in opposite directions at 36 km/h and 54 km/h. Time to cross each other isRead the answer and worked solution →A and B can do a piece of work in 10 days. B and C in 15 days. A and C in 12 days. A alone can do it inRead the answer and worked solution →A train running at 60 km/h crosses a man standing on the platform in 12 seconds. The length of the train isRead the answer and worked solution →A can do a piece of work in 20 days, B in 30 days. Together they can do it inRead the answer and worked solution →At what rate per annum will Rs 1200 amount to Rs 1452 in 2 years at compound interest (compounded annually)?Read the answer and worked solution →A sum amounts to Rs 1500 in 5 years and Rs 1800 in 8 years at simple interest. The principal isRead the answer and worked solution →In a triangle, two angles are 65 degrees and 75 degrees. The third angle isRead the answer and worked solution →The value of sin 30 degrees + cos 60 degrees isRead the answer and worked solution →If tan(theta) = 1, then theta isRead the answer and worked solution →The length of the diagonal of a rectangle 6 cm by 8 cm isRead the answer and worked solution →If a + 1/a = 5, then a^2 + 1/a^2 isRead the answer and worked solution →The volume of a cylinder of radius 7 cm and height 10 cm is (use pi = 22/7)Read the answer and worked solution →
Worked practice questions
How many positive divisors does 36 have?
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- 7
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- 9
Show answer and solution
Correct answer: D. 9
36 = 2^2 x 3^2. Number of divisors = (2+1)(2+1) = 9. Divisors: 1, 2, 3, 4, 6, 9, 12, 18, 36.
What is the unit digit of 7^25?
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- 7
- 9
Show answer and solution
Correct answer: C. 7
Unit digits of 7^n cycle: 7, 9, 3, 1, 7, 9, 3, 1... (period 4).
25 mod 4 = 1, so unit digit matches 7^1 = 7.
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