Answer: C) 11 Explanation: Let the number of sides be n.  The number of diagonals is given by nC2 - n   Therefore, nC2 - n = 44, n>0  nC2 - n = 44 n2 - 3n - 88 = 0  n2 -11n + 8n - 88 = 0   n(n - 11) + 8(n - 11) = 0  n = -8 or n = 11.   As n>0, n will not be -8. Therefore, n=11.

Answer: C) 21 Explanation: A prime number is a whole number greater than 1 whose only factors are 1 and itself.   Factors of 5 are 1, 5 Factors of 11 are 1, 11 Factors of 21 are 1, 3, 7, 21 Factors of 37 are 1, 37.   Hence, according to the definition of a prime number, 21 is not a prime number as it has more than two factors.

Answer: B) FALSE Explanation: The given statement, The heat from the sun reaches earth through Convection is FALSE.   Heat from the sun actually reaches the earth through Radiation. The process occurs through electromagnetic radiation, specifically, in which molecules are warmed when the heat reaches them, and these molecules then warm other molecules touching them, which continues until we feel the sun's heat.

Answer: C) 3439 Explanation: The numbers 0,1,2,3,4,5,6,7,8,9 are 10 in number while preparing telephone numbers any number can be used any number of times.   This can be done in 105ways, but '0' is there   So, the numbers starting with '0' are to be excluded is 94 numbers.    Total 5 digit telephone numbers = 105- 94 = 3439

Answer: C) 7/8 & 3/8 Explanation: Given 0.875 and 0.375 0.875 :: After decimal point there are 3 digits 875 Now, mutiply and divide 0.875 with 1000 0.875 x 10001000 = 8751000 Now, this can be reduced to fraction 78Therefore, 0.875 as fraction = 78 Similarly, 0.375 ::  After decimal point there are 3 digits 375 Now, mutiply and divide 0.375 with 1000 0.375 x 10001000 = 3751000Now, this can be reduced to fraction 38Therefore, 0.375 as fraction = 38

Answer: B) 40 Explanation: Remaining work = 1 - 9/10 = 1/10   => A & B together completes 1/10 of work in 4 days   => 1 work can completed in ------ ? days   Let it be x days   =>  4110=x1   => x = 40 days.   Hence, A & B together can complete the work in 40 days.

Answer: D) 41 yrs Explanation: Anu = (Raj + 5) + 9 = Raj + 14 -------- (I) Raj = (Renu - 4) + 7 = Renu + 3 ------- (II) Raj's age = 19 + 3 = 22 years After 5 years Anu's age = 22 + 14 + 5 = 41 years

Answer: A) homogeneous Explanation: A Mixture is a material made up of two or more different substances which are mixed.   Mixtures can be either homogeneous or heterogeneous.   * A homogeneous mixture is a type of mixture in which the composition is uniform and every part of the solution has the same properties. * A heterogeneous mixture is a type of mixture in which the components can be seen, as there are two or more phases present.   Air is a homogeneous mixture of the gaseous substances nitrogen, oxygen, and smaller amounts of other substances.