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DSSSB TGT number_system_lcm_hcf — practice questions

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The smallest prime number isHow many positive divisors does 36 have?What is the unit digit of 7^25?The sum of the first 20 natural numbers isWhich of the following is divisible by 11?The remainder when 2^10 is divided by 7 isThe LCM of 12, 15 and 20 isThe HCF of 48 and 72 isThe product of two numbers is 720 and their HCF is 12. Their LCM isThe largest number that divides 280 and 1245 leaving remainders 4 and 3 respectively isIf 20% of x = 60, then 40% of x isIn an exam, 30% candidates failed. If 350 students passed, the total number of candidates wasTwo numbers are 25% and 30% less than a third number. The first as a percent of the second isA's salary is reduced by 10% and then increased by 10%. Net change isA man sells two articles at Rs 480 each. On one he gains 20%, on the other he loses 20%. His overall loss isThe marked price of an article is 25% above CP. After a 10% discount, the profit percent isA trader buys 12 oranges for Rs 10 and sells 10 oranges for Rs 12. His profit percent isPipes A and B can fill a tank in 12 and 15 hours respectively. Pipe C empties it in 20 hours. With all three oTwo trains, 120 m and 80 m long, run in opposite directions at 36 km/h and 54 km/h. Time to cross each other iA 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 inA train running at 60 km/h crosses a man standing on the platform in 12 seconds. The length of the train isA can do a piece of work in 20 days, B in 30 days. Together they can do it inAt what rate per annum will Rs 1200 amount to Rs 1452 in 2 years at compound interest (compounded annually)?A sum amounts to Rs 1500 in 5 years and Rs 1800 in 8 years at simple interest. The principal isIn a triangle, two angles are 65 degrees and 75 degrees. The third angle isThe value of sin 30 degrees + cos 60 degrees isIf tan(theta) = 1, then theta isThe length of the diagonal of a rectangle 6 cm by 8 cm isIf a + 1/a = 5, then a^2 + 1/a^2 isThe volume of a cylinder of radius 7 cm and height 10 cm is (use pi = 22/7)