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SQP-10

Time allowed: 2:30   Max. Marks: 80 SECTION - A(40 Marks) ( A ttempt all questions from this Section) Question 1: Choose a correct answer to the questions from the given options:  (Do not copy the questions , write the correct answers only ).  (15) i) If Matrix  A= [-1  2] & B= [1   -2                           0    3] Which of the following operation is possible ? a) A- B  b) A+ B  c) AB  d) BA  ii) If x²+ kx + 6=(x -2)(x -3) for all values of x, then the value of k is: a) -5 b) -3 c) -2 d) 5  iii) A retailer purchased an item for Rs 1500 from a wholesale and sells it to a customer at 10% profit. The sales are intra-state and the rate of GST is 10%. The amount of GST paid by the customer is: a) Rs 15 b) Rs 30 c) Rs 150 d) Rs 165  iv) If the roots of equation x²- 6x + k=0 are real and distinct, then value of k is  a) > -9 b) ...
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HALLO COMPETITION

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Logic , Reasoning  1) Choose the odd one: A)a)13-22 b) 24-76. c)16-52 d)17-62 B) a)6-16 b)18-48 c)21-56 d)27-76. C)a)39-77.b)51-119 c)33-88 d)52-91 D)a)26-4 b)226-14 c)274-16. d)82-8 E) a)2-4 b) 4-5 c) 6-18. d)8-32 F) 82, 15., 65, 26  G) a)4-44 b) 6-64. c)3-30 d)5-35 H) 37, 47, 17, 27. I) New Delhi, Kolkata, Chennai, Mumbai 15) 9: 26:: 81: ? A) 2 B) 4 C) 42 D) 242. 16) 3: 26: : ? : 124 A) 142 B) 124. C) 241 D) 214 17) 4: 27:: 9: ? A) 46 B) 64. C) 83 D) 38 18) 4, ? 144, 400, 900, 1764 A) 69 B) 96 C) 102 D) 44 19) 2, 10, 30, 68, ? A) 110 B) 120 C) 130. D) 140 20) Odd one out: 9,16,25,36,49,61 A) 9 B) 25 C) 61 D) N 29) Odd one out: a) 2160, 360, 69., 18, 6, 3 b) 7, 8, 18, 57, 228., 1165, 6996. 2) 7: 32 :: 28 : ? A) 128. B) 228 C) 328 D) 428 3) BCFG: HILM :: NORQ: ? A) TUXW. B) TXUW C) TWXU D) TWUX 4) ACEG: ZXVT:: BDFH: ? A) SUWY B) YEUS C) YUES D) N 5) 8: 9:: 56 : ? A) 27 B) 63 C) 72. D) 36 6) 25: 37: : 49: ? A) 26 B) 62 C) 56 D) 65. 7) JkL, AbC, MnO, DeF, PqR, Gh? A) A B) D C) I...
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C & W

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2011 1)  Solve the following equation: x - 18/x = 6. Give your answer correct to two significant figures. 2) In the figure O is the centre of the circle. Tangents at A and B meet at C If angle ACO= 30°, find the angle BCO, AOB, APB 3) Mr Kumar borrowed Rs 15000 for two years. The rate of interest for the two successive years are 8% and 10% respectively. If he repays Rs 6200 at the end of the first year, find the outstanding amount at the end of the second year ? 4) ABC is a triangle and G(4,3) is the centroid of the triangle. If A(1,3), B(4,b) and C(a,1l, find a and b. 5) A mathematical aptitude test of 50 students was recorded as follows : Marks    no of students  50-60        4  60-70        8 70-80       14 80-90       19 9-100        5 Draw a histogram for the above data using a graph paper and locate the mode. 6) A solid cone of radius 5cm and height 8cm is m...
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C- XMPCB

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2011 1) Find the value of k if (x -2) is a factor of x³+ 2x²- Kx +10 Hence, determine whether x + 5 is also factor. 2) If A= 3   5 & B= 2               4  -2          4  is the product AB possible ?  give reason.  If yes find AB 3) From a  pack of 52 playing cards all cards whose numbers are multiples of 3 are removed. A card is now drawn at random.  What is the probability that card drawn is: a) a face card (king, Jack , queen) b) an even numbered red card. 4) Solve the following equation: x - 18/x = 6. Give your answer correct to two significant figures. 5) In the figure O is the centre of the circle. Tangents at A and B meet at C If angle ACO= 30°, find the angle BCO, AOB, APB 6) Abhi has a recurring deposit account in a bank. He deposits Rs 2500 per month for 2 years. If he gets RS 66250 at the time of maturity, find; a) The intrest paid by the bank. b) the rate of in...
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SET, MAPPING, BINARY OPERATION, GROUPS

Set: A well define collection of distinct objects is called set. Usually, the objects are called elements of the set Null set or Empty set or Valid set:  A set which has no member (or element) is called a null set. Null set is denoted by Φ or {  }. Sub-sets: If every elements of a set A is an element of the set B, then A is said to be subset of B; symbolically we write A ⊆ B or B⊇ A. If A ⊆ B and there is an element in B which is not in A, then A is said to be proper subset  of B denoted by  A ⊂ B If A is not a subset of B, we write A ⊄ B because b ∈ A but b ∉ B NOTE: i) If A ⊂B then x  ∈ A => x  ∈ B ii) Every set is subset of itself i.e., A  ⊂ A iii) If  A ⊂B, then an element not in B is not in A. iv) Null set is subset of every set. (Follow from (iii)) Equality of two sets: Two sets A and B are said to be equal if A ⊆ B and B  ⊆ A; we write A= B. Universal sets: In a context if every set is subset of another set, say U then U is called...
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