Mathematics - Facts, Concepts and Questions

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 ...

Solved Examples of Application of Derivatives  

Put a tick mark(√) on the correct answer : Q1.What the point of intersection of the medians of a triangle   called ? (i)   circum center             (ii) In center          (iii) centroid                  (iv) ortho center Q2.What the point of intersection of the altitudes of a triangle   called ? (i)   circum center             (ii) In center          (iii) centroid                  (iv) ortho center Q3.What the point of intersection of the side bisectors of a triangle   called ? (i)   circum center              (ii) In center ...

 Practice Questions 1- 10 3 का तात्पर्य हैं -     (A) 10 का घन    (B) 10 का घनमूल  (C) 10 का वर्ग    (D) 10 का वर्गमूल 2- संख्या 243 का घनमूल करने पर प्राप्त संख्या का इकाई का अंक होगा -     (A)    3    (B)    7   (C)    5    (D)    9 3-  किसी संख्या का घनमूल ज्ञात करने के लिए अभाज्य गुणनखंड लेते है -      (A)  त्रिक समूह में   (B)  युग्म रूप में  (C)  a व  b दोनों  (D)  कोई नहीं 4-  220 तक कितनी संख्याएं पूर्ण घन है -      (A)  5    (B)  6    (C)  15    (D) 100 5-  पूर्ण घन कौन सा है -     (A)    392    (B)    2744  (C)    106480    (D)    53240 6-  क...

Practice Questions 1.  Which of the following is set     (a)    Collection of beautiful girls of Delhi     (b)    Numbers divisible by 3 between 1 and 20     (c)    Collection of handsome boys in a class     (d)    Collection of most precious gems of India 2. Set A = {4, 10, 12, 16, 20}, set builder form is     (a)    {x : x is even number less than 2}     (b)    {x : x is natural number multiple of 4 and less than 2}     (c)    {x : x is odd natural number greater than 3}     (d)    {x : x is odd natural number less than 3} 3. A set which contains number of elements which can not be counted is     (a)    Empty set    (b)    finite set    (c)    Singlt...

1.    The difference between a two digit number.and the number obtained by interchanging the two digits of the number is 9. What is the difference between the two digits of the number?     (1)    3       (2)    2     (3)    1     (4)    Cannot be determined     (5)    None of these Ans. (3) 2.    In a class there are 32 boys and 28 girls. The average age of the boys in the class is 14 years and the average age of the girls in the class is 13 years. What is the average age of the whole class ? (Rounded off to two digits after decimal)     (1)    13.50       (2)    13.53     (3)    12.51      (4)    13.42     (5)    None of these A...