Previous Year Solved CTET questions -Part3

New : CTET 2015 Feb Paper 1 math solved
          10 most repeated math question types in CTET

31. The value of (3^502 - 3^500 +16)/(3^500 +2) is (1) 2   (2) 4 (3) 8  (4) 16 Answer:(3) 8  Solution: Step1: Divide both the numerator and denominators by 3^500. we get           ( 3^2 - 1 + 16/(3^500)/( 1 + 2/3^500) Step2: Since, 16/3^500 and 2/3^500 are very very small and hence              negligible. Put 0 in their places. Step3: we are left with ( 9 -1)/1 = 8 32.If 800880 =8x10^x + 8x10^y + 8x10^z      where x,y and z are the whole numbers, then the value of x+y+z is (1) 11   (2) 8 (3) 6    (4) 5 Answer: (2) 8 Solution: Step1: Expand the number 800880 according to places values. We will get            800880 = 800000 + 800 + 80 = 8x10^6 + 8x10^2 + 8x10 Step2: compare the expanded form with what is given in the question, we will             get            x =5, y=2 and z=1 and therefore the value of x+y+z = 8 33.The scale of a map is given as 1:10000. On the map, a forest occupies a rectangular region measuring 10cm X 100cm. The actual area of the forest, in km^2, is (1) 1000   (2) 100 (3) 10     (4) 1 Answer:(3) 10 Solution: Step1: area of forest on the map = 10cmx100cm = 1000 sq cm Step2: scale of the map is 1:10000. that means 1 cm on the map = 0.1 Km of actual forest land. or 1 sq cm  = 0.01 sq km. Step3: Therefore 1000 sq. cm = 1000 x 0.01 = 10 sq km. 34.A fraction is equivalent to 5/8. Its denominator and numerator add up to 91.What is the difference between denominator and numerator of this fraction? (1) 3   (2) 13 (3) 19  (4) 21 Answer:(4) 21 Solution: Step1: Let the fraction be  (5x/8x)  Step2: Sum of denominator and the numerator is 91.           => 8x +  5x = 91           => x = 91/13 = 7           =>  step3:  The fraction is 35/56 Step4: difference between the denominator and numerator is = 56 - 35 = 21   35. The number n is doubled and then y is added to it. The result is then divided by2 and the original number n is subtracted from it. The final result is (1) y         (2) y/2 (3) n+y     (4) (n+y)/2 Answer: y/2 Solution:  Step1: Number n is doubled => 2n step2: y is added to 2n => 2n + y Step3: 2n + y is divided by 2 => (2n +y)/2 = n + y/2 Step4: Original number n is subtracted from n + y/2 => n +y/2 - n = y/2   36.A polyhedron has six faces and 8 vertices. How many edges does it have? (1) 10   (2) 12 (3) 14   (4) 15 Answer:(2) 12 Solution: Using the Euler's Formula                   V -E + F =2, where v is the number of vertices, E the edges and the F the faces of the polyhedron. Put the given values to get ,                              8 - E + 6 = 2                        => 8 + 6 -2= E                        => 12 =E                        37. If            1957              -a9            ____            18b8            ____ the sum of the digits a and b is (1) 15     (2) 14 (3) 13     (4) 12 Answer: (2) 14 Solution: Step1:In the unit digit position, the number 7 was less than 9 therefore 1 was borrowed from the number 5. Step2: A look in the result reveals that 1 was also borrowed to the number 5 from the number 9 in the hundredth position. This means that the number b>4. Step3. Therefore the sum of a + b = 14  38.Forty-two cubes each of side 1 cm are glued together to form a solid cuboid. If the perimeter of the base of the cuboid is 18 cm,then its height, in cm, is  (1) 1   (2) 2 (3) 3   (4) 4 Answer:(3) 3 Solution: Step1: perimeter of the base of cuboid is 18 cm. And the cube that are at the 4 corners of the cuboids contributes 2 cm to the perimeter and the cube i the middle contributes 1 cm to the perimeter. Therefore, total number of cubes in the base are 18 - 4 = 14 cubes. Step2: since there are a total of 42 cubes. Therefore the height of the cube = 42/14 = 3 39. Perimeter of a square and rectangle are equal. If the perimeter of the square is 40 cm and the length of rectangle is 2 cm more than the side of the square, then the area,in square cm, of the rectangle is  (1)48  (2)72  (3)96  (4)100 Answer: (3)96 Solution: Step1: Let the breadth of the rectangle be X then the length is (x+2) cm. Step2: Since the perimeter of the square therefore the length is = 40/4 =           10 cm. Step3: And the length of the rectangle is greater than the side of the             square by 2 cm  => 10 + 2 = 12 cm. Step4: And the perimeter of the rectangle is equal to that of the square.           => 2( 12 + b) =40 cm           => 12 + b = 20            => b = 20 - 12 = 8 cm. Step5: Therefore, area of the rectangle is 8 x 12 = 96 cm^2                  40. Sania bought a battery. She read on it "life : 4200 hours". She uses it throughout the day  and night. How many weeks will the battery run?  (1) 28  (2) 25  (3) 24 4) 21        Answer: (3) 24 Solution: Step1: Number of hours per week = 24 x 7 = 168 Step2: 4200 makes 4200/168 = 25 weeks.

For Solved math Questions On CTET

NEW : solved CTET 2015 February - Paper1

1. CTET math Solved Questions2

2. CTET math Solved Questions Part1

3. CTET Math Solved Questions part4

OR you might want to Check Out : Time Speed and Distance |  Mensuration -Triangle | Mensuration-Circle | Compound Interest | Simple Interest | Problems on Averages | Alligations and Mixture | Solved Problems on Percentages | Unitary Methods | Volume | Number System | Fractions