Mathematics - Facts, Concepts and Questions

1.    Insert commas suitably and write the names according to International System of Numeration :     (a)    523427310              (b)    0013003002     (c)    403010009              (d)    750043109 2.    Write the number names of the following numbers in Indian system.     (a)    364953        (b)    8495472     (c)    267300375                (d)    453764894 3.     Fill in the blanks:     (a)    2 arab = _______ billion.     (b)    4 million = _______ lakh.     (c)    3...

1.    In Bilaspur village, 12 men and 18 boys completed construction of a primary health centre in 60 days, by working for 7.5 hours a day. Subsequently the residents of the neighbouring Harigarh village also decided to construct a primary health centre in their locality, which would be twice the size of the facility built in Bilaspur. If a man is able to perform the work equal to the same done by 2 boys, then how many boys will be required to help 21 men to complete the work in Harigarh in 50 days, working 9 hours a day?     (a)    45 boys    (b)    48 boys     (c)    40 boys    (d)    42 boys 2.    While preparing for a management entrance examination, Romit attempted to solve three papers, namely Mathematics, Verbal English and Logical Analysis, each of which have the full marks of 100. It is  observed that one-third of the marks...

1.     किसी व्यापारी को 35 मी ] 42 मी और 63 मी लम्बे लकड़ी के 3 तख्तों में से बड़े-से-बड़े बराबर माप के कितने तख्ते मिल सकते हैं?     (a)     18        (b)    19        (c)    20        (d)    21 1.    (c)    35=7 × 5              42=7 × 3 × 2              तथा 63=7 × 3 × 3              इसलिए, ल.स. = 7              अतः तख्तों की संख्या = 5 + 6 + 9 = 20 2.      वह छोटी से छोटी पूर्ण वर्ग संख्या, जो 21, 36 और 66 से विभाजित हो जाती है, है      (a)    214334 214334       ...

1.    A closed right circular cylinder has volume 2156 cubic units. What should be the radius of its base so as total surface are is minimum? (Take π = 22/7)        (a)    2 cm     (b)    4 cm    (c)    5 cm     (d)    7 cm 2.     A right angled triangle with hypotenuse h has maximum area if one of remaining sides is

1.    Roster form of set is     (a)    Writing all the objects together one after another     (b)    Writing some of the objects     (c)    Writing all the objects separated by commas and then enclosing all of them within one curly bracket     (d)    Mentioning the property satisfied by all objects Ans. (c) 2.    Set Builder form of the set {1, 3, 5, 7, 9} is     (a)    {x : x is odd natural number and less than 10}     (b)    {x : x is natural number}     (c)    {x : x = 2n + 3, n is natural number less than 3}     (d)    None of these Ans. (a) 3.    If every element of set A is also an element of set B then     (a)    A is subset of B        ...

1.    The equation of the plane through  (2, 3, – 4) and (1 – 1, 3) and parallel to x-axis is     (a)    7y – 4z – 5 = 0    (b)    4y – 7z – 5 = 0     (c)    4y + 7z + 5 = 0    (d)    7y + 4z – 5 = 0 Ans. 1 (d) 2.     If from a paint P (a, b, c) perpendicular PA P B and to yz and zx planes, then the equation of the plane OAB is     (a)    bcx + cay + abz = 0    (b)    bcx + cay – abz = 0     (b)    bcx – cay + abz = 0    (d)    – bcx + cay + abz = 0 Ans. 2 (b) 3.    The equation of the plane which bisects the line joining the point (3, 2, 2), (5, 4, 6) at right angles  is     (a)    x + y + 2z – 15 = 0    (b)    x + 2y + z – 15 ...