Saturday, December 12, 2015
Saturday, October 24, 2015
Mathematics Practice Questions for IIFT Paper
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 obtained by Romit in Logical Analysis is greater than half of his marks obtained in Verbal English by 5. He has obtained a total of 210 marks in the examination and 70 marks in Mathematics. What is the difference between the marks obtained by him in Mathematics and Verbal English?
(a) 40 (b) 10
(c) 20 (d) 30
3. 2 years ago, one-fifth of Amita’s age was equal to one-fourth of the age of Sumita, and the average of their age was 27 years. If the age of Paramita is also considered, the average age of three of them declines to 24. What will be the average age of Sumita and Paramita 3 years from now?
(a) 25 years (b) 26 years
(c) 27 years (d) cannot be determined
4. There are four prime numbers written in ascending order of magnitude. The product of the first three is 7429 and last three is 12673. Find the first number.
(a) 19 (b) 17
(c) 13 (d) None of the above
5. Consider the volumes of the following objects and arrange them in decreasing order:
i. A parallelepiped of length 5 cm, breadth 3 cm and height 4 cm
ii. A cube of each side 4 cm
iii. A cylinder of radius 3 cm and length 3 cm
iv. A sphere of radius 3 cm
(a) iv, iii, ii, i (b) iv, ii, iii, i
(c) iv, iii, i, ii (d) None of the above
Answers
1 (d); 2 (c); 3 (b); 4 (b); 5 (a)
(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 obtained by Romit in Logical Analysis is greater than half of his marks obtained in Verbal English by 5. He has obtained a total of 210 marks in the examination and 70 marks in Mathematics. What is the difference between the marks obtained by him in Mathematics and Verbal English?
(a) 40 (b) 10
(c) 20 (d) 30
3. 2 years ago, one-fifth of Amita’s age was equal to one-fourth of the age of Sumita, and the average of their age was 27 years. If the age of Paramita is also considered, the average age of three of them declines to 24. What will be the average age of Sumita and Paramita 3 years from now?
(a) 25 years (b) 26 years
(c) 27 years (d) cannot be determined
4. There are four prime numbers written in ascending order of magnitude. The product of the first three is 7429 and last three is 12673. Find the first number.
(a) 19 (b) 17
(c) 13 (d) None of the above
5. Consider the volumes of the following objects and arrange them in decreasing order:
i. A parallelepiped of length 5 cm, breadth 3 cm and height 4 cm
ii. A cube of each side 4 cm
iii. A cylinder of radius 3 cm and length 3 cm
iv. A sphere of radius 3 cm
(a) iv, iii, ii, i (b) iv, ii, iii, i
(c) iv, iii, i, ii (d) None of the above
Answers
1 (d); 2 (c); 3 (b); 4 (b); 5 (a)
Sunday, July 19, 2015
महत्तम समापवर्तक (H.C.F.)
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) 214334214334
(b) 214434
(c) 213444
(d) 231444
2. (c) 21
= 7 × 3
36 = 3 × 2 × 2 × 3
66 = 11 × 3 × 2
ल.
स. = 32 × 22 × 11 × 7
अतः
अभीष्ट संख्या = 32 × 22 × 112 × 72
= 9 × 4 × 121 × 49 =
213444Saturday, July 11, 2015
Friday, June 12, 2015
Practice Questions on Sets
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
(b) B is subset of A
(c) B is Null set
(d) A and B are equal sets
Ans. (a)
4. Power set contains
(a) all elements given powers
(b) all sets
(c) no element
(d) only one element
Ans. (b)
As power set is set of subsets of given set.
5. Universal set is
(a) Super set of all the sets under consideration
(b) Subset of all the sets under consideration
(c) a set with no element
(d) Proper subset of all the sets
Ans. (a)
Universal set contains all the elements/numbers/objects under consideration.
6. A man has 10 friends. In how many ways he can invite one or more of them to a party
(a) 10!
(b) 210
(c) 10! – 1
(d) 210 – 1
Ans. (d)
7. Two finite sets have m and n elements. The number of elements in the power set of 1st set is 48 more than the total number of elements in power set of second set. The value of m and n are
(a) 7, 6
(b) 6, 3
(c) 6, 4
(d) 7, 7
Ans. (c)
8. Out of 1000 families investigated, 800 families own Maruti car, 400 families own Santro car, 100 own both the cars, then how many own not even a single car
(a) 100
(b) 200
(c) 300
(d) None of these
Ans. (d)
(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
(b) B is subset of A
(c) B is Null set
(d) A and B are equal sets
Ans. (a)
4. Power set contains
(a) all elements given powers
(b) all sets
(c) no element
(d) only one element
Ans. (b)
As power set is set of subsets of given set.
5. Universal set is
(a) Super set of all the sets under consideration
(b) Subset of all the sets under consideration
(c) a set with no element
(d) Proper subset of all the sets
Ans. (a)
Universal set contains all the elements/numbers/objects under consideration.
6. A man has 10 friends. In how many ways he can invite one or more of them to a party
(a) 10!
(b) 210
(c) 10! – 1
(d) 210 – 1
Ans. (d)
7. Two finite sets have m and n elements. The number of elements in the power set of 1st set is 48 more than the total number of elements in power set of second set. The value of m and n are
(a) 7, 6
(b) 6, 3
(c) 6, 4
(d) 7, 7
Ans. (c)
8. Out of 1000 families investigated, 800 families own Maruti car, 400 families own Santro car, 100 own both the cars, then how many own not even a single car
(a) 100
(b) 200
(c) 300
(d) None of these
Ans. (d)
Sunday, May 31, 2015
3-D Geometry: Plane
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 = 0
(c) 2x + y + z – 15 = 0 (d) x + y + z – 8 = 9
Ans. 3 (a)
4. The foot of perpendicular drawn from the paint (1, 3, 4) to the plane 2x – y + z = – 3 is
(a) (1, 2, 3) (b) (5, 7, 17)
(c) (5/3, – 7/3, 17/3) (d) (– 5/3, 7/3, 17/3)
Ans. 4 (d)
5. The two points (1, 1, 1) and (– 3, 0, 1) with respect to the plane 3x + 4y – 12z + 13 = 0 lie on
(a) Opposite side (b) Same side
(c) On the plane (d) None of these
Ans. 5 (a)
(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 = 0
(c) 2x + y + z – 15 = 0 (d) x + y + z – 8 = 9
Ans. 3 (a)
4. The foot of perpendicular drawn from the paint (1, 3, 4) to the plane 2x – y + z = – 3 is
(a) (1, 2, 3) (b) (5, 7, 17)
(c) (5/3, – 7/3, 17/3) (d) (– 5/3, 7/3, 17/3)
Ans. 4 (d)
5. The two points (1, 1, 1) and (– 3, 0, 1) with respect to the plane 3x + 4y – 12z + 13 = 0 lie on
(a) Opposite side (b) Same side
(c) On the plane (d) None of these
Ans. 5 (a)
Monday, April 27, 2015
Saturday, April 25, 2015
PRACTICAL GEOMETRY & VISUALISING SOLID SHAPES
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 (iii) centroid (iv) ortho center
Q4.What
the point of intersection of the angle bisectors of a triangle called ?
(i) circum center (ii) In center (iii) centroid (iv) ortho center
Q5.Which
of the following is a three dimensional figure ?
(i) Square (ii) Trapezium (iii)
Cube (iv) Parallelogram
Q6.Find
the number of edges of a polyhedron having 20 faces & 12 vertices
?
(i) 10 (ii) 20 (iii) 25 (iv) 30
Q7.Find
the number of faces of a polyhedron having 6 vertices & 12 edges ?
(i) 8 (ii) 10 (iii) 12 (iv) 14
Q8.Find
the number of vertices of a polyhedron having 5 faces & 9 edges ?
(i) 18 (ii) 12 (iii) 6 (iv) 4
Q9.What
the name of the polyhedron is whose base & top are congruent polygons &
whose lateral faces are parallelograms
in shape ?
(i) Tetrahedron (ii) Trapezium (iii) Prism (iv) Parallelogram
Q10.How
many faces a tetrahedron has ?
(i) 14 (ii) 12 (iii) 6 (iv) 4
Monday, April 20, 2015
Thursday, April 16, 2015
Cube and Cube roots
Practice Questions
1- 103 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- कौन सी संख्या पूर्ण घन है -
(A) 64 (B) 26 (C) 126 (D) 344
7- कौन सी संख्या पूर्ण घन नहीं है -
(A) 8 (B) 27 (C) 64 (D) 26
8. 1259712 का घनमूल क्या होगा यदि 1259712 = 5832 × 216 हो
(A) 108 (B) 98 (C) 88 (D) 118
9. 571787 के घनमूल के इकाई का अंक होगा -
(A) 7 (B) 3 (C) 1 (D) 9
10. 57066625=166375 × 343 का घनमूल है -
(A) 55 × 7 (B) 15 × 16 (C) 125 × 7 (D) 55 × 9
1- 103 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- कौन सी संख्या पूर्ण घन है -
(A) 64 (B) 26 (C) 126 (D) 344
7- कौन सी संख्या पूर्ण घन नहीं है -
(A) 8 (B) 27 (C) 64 (D) 26
8. 1259712 का घनमूल क्या होगा यदि 1259712 = 5832 × 216 हो
(A) 108 (B) 98 (C) 88 (D) 118
9. 571787 के घनमूल के इकाई का अंक होगा -
(A) 7 (B) 3 (C) 1 (D) 9
10. 57066625=166375 × 343 का घनमूल है -
(A) 55 × 7 (B) 15 × 16 (C) 125 × 7 (D) 55 × 9
Tuesday, April 14, 2015
Monday, April 6, 2015
Sets, Relations and Functions
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) Singlton set (d) Infinite set
4. If A and B are such that n (A) = n (B) then
(a) A and B are equal sets
(b) A and B are conjugate of each other
(c) A and B are singleton sets
(d) A and B are equivalent sets
5. If A = {1, 2, 3, 4} , B = {4, 5, 6, 7} then
(a) A = B (b) A and B are equivalent (c) A and B are singleton (d) A and B are null sets
6. The set of odd prime numbers is
(a) Null set (b) singleton set (c) Infinite set (d) Finite set
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) Singlton set (d) Infinite set
4. If A and B are such that n (A) = n (B) then
(a) A and B are equal sets
(b) A and B are conjugate of each other
(c) A and B are singleton sets
(d) A and B are equivalent sets
5. If A = {1, 2, 3, 4} , B = {4, 5, 6, 7} then
(a) A = B (b) A and B are equivalent (c) A and B are singleton (d) A and B are null sets
6. The set of odd prime numbers is
(a) Null set (b) singleton set (c) Infinite set (d) Finite set
Thursday, April 2, 2015
Word Problems for Quantitative Aptitude Section of BANK PO/SSC/Other Exams
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
Ans. (3)
3. In a test consisting of 80 questions carrying one mark each, Arpita answers 65% of the first 40 questions correctly. What percent of the other 40 questions does she need to answer correctly to score 75% on the entire test?
(1) 60
(2) 80
(3) 75
(4) 40
(5) None of these
Ans. (5)
4. Manisha invests an amount of Rs. 39,300/- for 4 years at the rate of 4 p. c. p. a. What amount of approximate compound interest will she obtain at the end of 4 years ?
(1) Rs. 6,675/-
(2) Rs. 6,650/-
(3) Rs. 6,288/-
(4) Rs. 6,356/-
(5) Rs, 6,450/-
Ans. (1)
5. The average marks of 65 students in a class was calculated as 150. It was later realised that the marks of one of the students was calculated as 142, whereas his actual marks were 152. What is the actual average marks of the group of 65 students? (Rounded off to two digits after decImal)
(1) 151.25
(2) 150.15
(3) 151.10
(4) 150.19
(5) None of these
Ans. (2)
(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
Ans. (3)
3. In a test consisting of 80 questions carrying one mark each, Arpita answers 65% of the first 40 questions correctly. What percent of the other 40 questions does she need to answer correctly to score 75% on the entire test?
(1) 60
(2) 80
(3) 75
(4) 40
(5) None of these
Ans. (5)
4. Manisha invests an amount of Rs. 39,300/- for 4 years at the rate of 4 p. c. p. a. What amount of approximate compound interest will she obtain at the end of 4 years ?
(1) Rs. 6,675/-
(2) Rs. 6,650/-
(3) Rs. 6,288/-
(4) Rs. 6,356/-
(5) Rs, 6,450/-
Ans. (1)
5. The average marks of 65 students in a class was calculated as 150. It was later realised that the marks of one of the students was calculated as 142, whereas his actual marks were 152. What is the actual average marks of the group of 65 students? (Rounded off to two digits after decImal)
(1) 151.25
(2) 150.15
(3) 151.10
(4) 150.19
(5) None of these
Ans. (2)
Tuesday, March 31, 2015
Sunday, March 29, 2015
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