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Practice question on permutation and combination 31-45 (Set 3)

permutation and combination Question no. 31 In a plane , there are 10 points out of which 4 are collinear , then the number of triangles that can be formed by joining these points are looks_one 60 looks_two 116 looks_3 120 looks_4 None of these Answer Option looks_two 116 Solution Solution : No. of triangles = n C 3 - p C 3 = 10 C 3 - 4 C 3 = 120 - 4 = 116 Question no. 32 The number of straight lines joining 8 points on a circle is looks_one 8 looks_two 16 looks_3 24 looks_4 28 Answer Option looks_4 28 Solution Solution : No. of straight line = n(n-1)/2 = 8 *7 / 2 = 28 Question no. 33 The number of diagonals in a polygon of m sides is looks_one m(m-5)/2! looks_two m(m-1)/2! looks_3 m(m-3)/2! looks_4 m(m-2)/2! Answer Option looks_3 m(m-3)/2! Solution Solution : The number of diagonals in a polygon of m sides is m(m-3)/2! Question no. 34 How many ...

Practice Question on boat and stream (aptitude)

Boat and stream Question no. 1 A person can swim in still water at 4 km/h. If the speed of water is 2 km/h, how many hours will the man take to swim back against the current for 6 km. looks_one 3 looks_two 4 looks_3 4.5 looks_4 None of these Answer Option looks_one 3 Solution Solution : Speed of swim = 4 km/hr Speed of water = 2 km/ hr against the water speed of swim = 2 km/hr Time taken by man = distance/ speed = 6 / 2 = 3 hr Question no. 2 A man can swim in still water at 4.5 km/h, buttakes thrice as long to swim upstream than downstream. The speed of the stream is looks_one 2.25 looks_two 2 looks_3 3 looks_4 None of these Answer Option looks_one 2.25 Solution Solution : speed of swim = 4.5 km/hr Time taken to downstream = x hr Time taken to upstream = 3x hr Speed of stream = z distance of upstream = distance of downstream (4.5 - z) * 3x = (4.5 + z )* x ( 4.5 - z )* 3 = 4.5 + z 4.5 + z = 13.5 - 3...

practice question on direct and indirect narration (English Practice question )

Change the direct into indirect Question no. 1 She said to me, "I have seen the Taj twice". looks_one She told me that she had seen the taj twice. looks_two She said to me that she had seen the taj twice. looks_3 She told me that she had been seen the taj twice. looks_4 She told me that she saw the taj twice. Question no. 2 Our teacher said , "The earth moves round the sun." looks_one Our teacher told that the earth moves round the sun. looks_two Our teacher said that the earth moved round the sun. looks_3 Our teacher said that the earth moves round the sun. looks_4 None of these Question no. 3 He said , "If I were you , I would help her." looks_one He told that if he were you, he would help her. looks_two He said that if he were you, he should help her. looks_3 He said that if he were you, he would have helped her. looks_4 He said that if he were you, he would help her. ...

Practice Question on permutation and combination 16-30 (For IIT JEE , NDA , BITS ) Set 2

Permutation and Combination Question no. 16 What is the number of three digit odd numbers formed by using the digits 1,2,3,4,5,6 if repetition of digits is allowed ? looks_one 60 looks_two 108 looks_3 120 looks_4 216 Answer Option looks_two 108 Solution Solution : Number of digits at one's place = 1 , 3 , 5 [Total number is 3] Number of digits at ten's place = 6 [1,2,3,4,5,6] Number of digits at hundred place =6 [ 1, 2 , 3 , 4 , 5 , 6 ] Total number of ways = 3 * 6 * 6 = 108 Question no. 17 What is the number of ways of arranging the letters of the word "BANANA" so that no two N's appear together? looks_one 60 looks_two 40 looks_3 80 looks_4 100 Answer Option looks_two 40 Solution Solution : Total no. of ways = 6!/(3!2!) = 60 Two N's come together = 4!*5 / 3! = 20 No. of ways no two N's appear together = 60 - 20 = 40 Question no. 18 How many times does the ...

practice question on profit and loss

profit and loss Question no. 1 If the manufacturer gains 10%, the wholesale dealer 15% and the retailer 25%, then find the cost of production of a table, the retail price of which is $ 1265? looks_one $800 looks_two $1000 looks_3 $900 looks_4 $600 Answer Option looks_one $800 Solution Solution : the cost of production of a table is x 110 % of x = wholesale cost price 115% of 110% of x = retailer cost price 125 % 115% of 110% of x = retailer selling price Question no. 2 If the cost price is 96% of the selling price, then what is the profit percent? looks_one 4.5 % looks_two 4 % looks_3 4.2 % looks_4 None of these Answer Option looks_3 4.2 % Solution Solution : CP = 0.96 SP Question no. 3 A man buys 50 pencils for Rs 100 and sells 45 pencils for Rs 90. Find his gain or loss %. looks_one 20 % looks_two 35 % looks_3 25 % looks_4 none of these Answer option looks_4 none of thes...