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...

Square, Cube, indices and Surds Question no. 1 A school has 4 section of Chemistry in Class X having 40, 35,45 and 42 students. The mean marksobtained in Chemistry test are 50, 60, 55 and 45 respectively for the 4 sections. Determine the overall average of marks per student looks_one 50.25 looks_two 52.25 looks_3 51.25 looks_4 53.25 Answer Option looks_two 52.25 Solution Solution : average marks = total marks / total students total marks = 50*40 + 60*35 + 55*45 + 45*42 = 8462 total students = 40 + 35 + 45 + 42 = 162 Average marks = 8462/ 162 = 52.25 Question no. 2 The mean of 30 values was 150. It was detected on rechecking that one value 165 was wrongly copied as 135 for the computation of the mean. Find the correct mean. looks_one 151 looks_two 149 looks_3 152 looks_4 None of these Answer Option looks_one 151 Solution Solution : Question no. 3 A car owner buys petrol at $7.50, $8.00 and $8.5...

General Instruction 1. All the questions are compulsory 2. The question paper consists of 40 question and it is divided into four sections A,B , C and D. SECTION A Comprises of 20 questions carrying 1 mark each. Section B comprises of 6 questions carrying 2 marks each, Second C comprises of 8 questions carrying 3 marks each. Section D comprises of 6 questions carrying 4 marks each. 3. There is no overall choice 4. Use of calculator is not permitted. Section A 1. What is the mean of first 12 prime number? 2. If the zeros of the quadratic polynomial x 2 + (a+1)x + b are 2 and -3 , then a) a=-7 ,b=-1 b) a=5 , b=-1 c) a=2 ,b=-6 d) a=0, b=-6 3. If the probability of an event is 'p' the probability of its complementary event will be a) p-1 b) p c ) 1-p d) 1-1/p 4. The decimal expansion of the rational number 237/(2 3 ✕5) will terminate after a) one decimal place b) two decimal place c) three decimal place d) more than three decimal place ...

General Instruction 1. All the questions are compulsory 2. The question paper consists of 40 question and it is divided into four sections A,B , C and D. SECTION A Comprises of 20 questions carrying 1 mark each. Section B comprises of 6 questions carrying 2 marks each, Second C comprises of 8 questions carrying 3 marks each. Section D comprises of 6 questions carrying 4 marks each. 3. There is no overall choice 4. Use of calculator is not permitted. Section A 1. In a family of 3 children, the probability of having atleast one boy is a ) 7/8 b) 1/8 c) 5/8 d) 3/4 2. The mean of 20 numbers is 18. If 2 is added to each number , what is the new mean? 3. Find the area of quadrant of a circle whose circumference is 22 cm. 4. The number 525 and 3000 are divisible by 3 ,5 , 15, 25 and 75. What is the HCF of 525 and 3000? 5. What should be added to the polynomial x 2 -5x +4 ,so that 3 is the zero of the resulting polynomial: a) 1 b) 2 c) 4 d) 5. 6. ...

General Instruction 1. All the questions are compulsory 2. The question paper consists of 40 question and it is divided into four sections A,B , C and D. SECTION A Comprises of 20 questions carrying 1 mark each. Section B comprises of 6 questions carrying 2 marks each, Second C comprises of 8 questions carrying 3 marks each. Section D comprises of 6 questions carrying 4 marks each. 3. There is no overall choice 4. Use of calculator is not permitted. Section A 1. The probability of a number selected at random from the numbers 1,2,3.......15 is a multiple of 4 is. A) 4/15 b) 2/15 c) 1/5 d) 1/3 2. what is the value of x, if the median of the following data is (27.5) 24, 25, 26 , x+2, x+3, 30 ,33 , 37. 3. Find the area of circle inscribed in a square of side a cm. 4. The area of two similar ∆ABC and ∆DEF are 225 cm 2 and 81 cm 2 respectively. If the longest side of the larger triangle ∆ABC be 30 cm , find the longest side of the smaller triangle ∆DE...