CAREER POINT
PRE FOUNDATION DIVISON IMO Stage-II Exam.-2016
CLASS-6 MATHEMATICS Q.1
Raman is 50 years old and Raj is 19 years older than Raman. Write the sum of their ages in Roman system (A) CXIX (B) XXDI (C) XLII (D) CXLI
Q.2
Find the largest 6-digit number which is completely divisible by 8 out of the given options (A) 999476 (B) 999910 (C) 999360 (D) 999920
Q.3
If you multiply me by 29 and add 10 to the product, you will get 532. Who am I ? (A) 15 (B) 16 (C) 17 (D) 18
Q.4
Find the least number, which when divided by 36,24 and 48, leaves remainders 33,21 and 45, respectively (A) 141 (B) 140 (C) 142 (D) 144
Q.5
Q.6
A multiple of a given number is divisible by the - and the minimum number of factors of any number is …………. . (A) Given number, 1 (B) Given number, 2 (C) Multiples of given number, 2 (D) Multiples of given number, 1 Read the following graph and answer the question below.
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Date : 14-02-2016 The difference between the sum of sales in (January & December) and the sum of sales in (May & June) is ............. . (A) 14000 (B) 10000 (C) 50000 (D) 55000
Q.7
Which of the following statements is true ? (A) A number is divisible by 3, if the product of its digits is divisible by 3. (B) If a number exactly divides the sum of two numbers, it must exactly divide the two numbers separately. (C) A number is divisible by 6, if it is divisible by both 2 and 3. (D) A number is divisible by 11 if difference between the sum of odd place digits and product of even place digits is either zero or divisible by 11.
Q.8
The number 970169706 is not divisible by ………… . (A) 8 (B) 3 (C) 9 (D) 11
Q.9
The number x is a common factor of 16 and 24. It is also a common multiple of 2 and 8. The number y is a common factor of 18 and 27. It is also a common multiple of 3 and 9. Find the difference between x & y. (A) 1 (B) 2 (C) 4 (D) 8
Q.10
Select the CORRECT match (A) 1 lakh = 100 ten thousand (B) 1 million = 100 lakh (C) 1 core = 10 ten lakh (D) 1 million = 1 hundred thousand
Q.11
If the opposite angles of a quadrilateral are equal and diagonals are not equal, then the quadrilateral is a ……………… . (A) Parallelogram (B) Trapezium (C) Rhombus (D) Rectangle 1
Q.12
How many blocks must be added in figure (ii) to make figure (i) ?
Figure (i) (A) 24 (B) 29
Q.13
Q.17
1 1 (24 16) 64 4 8 (10 2) (A) 6.0032 (B) 60.0302 (C) 60.032 (D) 60.320
Figure (ii) (C) 31 (D) 39
The given picture is shaded to represent a fractional number
1 5 3 1 Simplify : 2 3 4 100 + 2 7 13 2
Q.18
How many (A) 7
Q.19
Garima has 142 marbles. She gave 48 to her sister and 50 to her brother. What fraction of the marbles is left with her ? 22 23 24 26 (A) (B) (C) (D) 71 71 71 71
Q.20
Samay and Prashi had an equal amount of money. After Prashi bought a book that cost ` 79.90 and Samay bought a watch that cost ` 493.40. Prashi had left 2 times as much money as Samay had with him. How much money did Prashi have at first ? (A) ` 506.75 (B) ` 193.50 (C) ` 906.90 (D) ` 2050.15
Q.21
Manya, Charu and Amit have ` 125000.75 ` 28000.79 and ` 18000.45 respectively in their personal bank accounts. How much money do they have altogether ? (A) ` 170000.90 (B) ` 171001.99 (C) ` 171001.09 (D) ` 171002.95
Q.22
The given bar graph shows the number of students in 4 sections of class 6.
How many of the stars in the group below must be shaded to represent a fraction with the same value of above unshaded fractional number ?
(A) 5 Q.14
(B) 6
41 100 51 (C) 6 50
81 100 81 (D) 4 100
(B) 15
What fraction of the figure is shaded ?
(A) Q.16
(D) 11
Find the value of (P + Q) = (R + S)
(A) 3
Q.15
(C) 8
4 18
(B)
5 36
(C)
1 2
(D)
1 5 's are there in ? 14 2 (B) 35 (C) 38 (D) 12
9 12
Ali had 88 stamps more than Samir. After Samir bought another 23 stamps, Samir had 7 as many stamps as Ali had. How many 8 stamps did Ali have ? (A) 165 (B) 432 (C) 581 (D) 520
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Ratio of total number of boys to total number of students in the 4 sections is …………….. . (A) 2 : 5 (B) 3 : 4 (C) 1 : 2 (D) 1 : 3 2
Q.23
What least number should be added to 2410 to get a number exactly divisible by 45 ? (A) 30 (B) 10 (C) 20 (D) 15
Q.24
The given figure is made up of small squares. The area of a small square is 9 cm2. Find the perimeter of the figure.
(A) 96 cm (C) 106 cm Q.25
length 100 m and breadth 50 m. Who covers more distance and by how much ? (A) Meenu, 20 m (B) Sohan, 40 m (C) Sohan, 20 m (D) Meenu, 30 m Q.28
(B) 98 cm (D) 108 cm
Place numbers in the vacant triangles in the given figure such that the sum of two triangles equals the value in the circle
(A) 10 cm2 (C) 80 cm2
(A) 3.12, 5.24, 6.56 (C) 3.11, 5.42, 6.65 Q.26
In a mixture of 60 litres, the ratio of milk and water is 2 : 1. What will be the quantity of water added in mixture, so that new ratio of milk and water becomes 4 : 5 ? (A) 20 litres (B) 30 litres (C) 40 litres (D) 60 litres
Q.30
If the weight of Q is equal to R and weight of P is thrice the weight of Q, then find the total weight of P + Q (All triangles are identical)
Q.27
12.07
(B) 3.21, 5.42, 6.65 (D) 3.11, 5.65, 8.65
If the given figure is made up of identical squares of side 4 cm, then find the perimeter and shaded area of the figure respectively.
(A) 300 cm, 96 cm2 (C) 300 cm, 52 cm2
(B) 400 cm2 (D) 800 cm2
Q.29
8.53 9.76
Ayush had a square cardboard. The cardboard was cut into 8 equal triangles. Find the area of each triangle -
(B) 240 cm, 384 cm2 (D) 240 cm, 52 cm2
Sohan runs around a square park of side 80 m. Meenu runs around a rectangular park of
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(A) 35 kg (C) 32 kg
(B) 30 kg (D) 45 kg
Q.31
A machine prints 124 magazines in 6 minutes. At this rate, how many magazines will it print in 2160 seconds ? (A) 720 (B) 748 (C) 632 (D) 744
Q.32
Find
the value of
2y – 5 = 7. (A) 4.5 (B) 8.5
5 y 10 3y 4 2y
(C) 6.4
if
(D) 3.8 3
Q.33
We have a * b =
3a 2b 1 . If p = and q = 3, 3a 2b 5
Q.38
then find the value of 5p * (4q * 3q). (A)
Q.34
4 3
(B) 3
(C) –3
(D) 15
Trishika is 15 years old. 5 years ago, Jay was 3x times older than Trishika. What will be their total age after 3 years ? (A) (18 + x) years old (B) (13 + 30 x) years old (C) (11 + 30 x) years old (D) (26 + 30 x) years old
(A) 1 Q.39
Q.35
The ratio of Maya's saving in account P to her savings in account Q was 5 : 8. If she spent 2 of her savings from account P and is left 5 with ` 2457 in her account P, then what was the total amount in account P and Q ? (A) ` 14607 (B) ` 10647 (C) ` 19118 (D) ` 24507
Q.36
A rectangular piece of paper is folded as shown here. Find the perimeter and area of the paper before it is folded
(A) 1 8 cm, 18 cm2 (C) 26 cm, 22 cm2 Q.37
Find the minimum number of shaded squares to be added so that the figure has vertical line of symmetry.
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(C) 3
Q.40
(D) 4
If 57 : 95 : : 51 : x, then the value of is ………. . (A) 95/263 (C) 114/115
3x 8 3x 8
(B) 76/247 (D) 247/263
In ABC. AB = BC and AD BC, BE AC and CF AB. Then, ABC is symmetrical about ………… . (A) AD (B) BE (C) CF (D) None of these
Q.41
The descending order of CLXX, XXXVI, MV is …………… . (A) MV, XXXVI, CLXX (B) MV, CLXX, XXXVI (C) CLXX, XXXVI, MV (D) XXXVI, CLXX, MV
Q.42
Which of the following statements is true ? (A) Zero is the smallest whole number. (B) All whole numbers are natural numbers. (C) 1 is the smallest whole number (D) The predecessor of a two digit number is never a single digit number
Q.43
Find the value of
(B) 11 cm, 20 cm2 (D) 26 cm, 24 cm2
The ratio of Gaurav's age to Mohit's age is 5 : 6. If Gaurav's is 9 years younger than Mohit, then 2 years later, sum of their ages is …………… years. (A) 45 (B) 54 (C) 103 (D) 99
(B) 2
(A)
5 4
(B)
(3) ( 4) (13) (14) 8 (9) 5 ( 4)
2 4
(C)
2 4
(D)
1 4 4
Q.44
The sum of ages of four person is 114 and their ages are in the proportion 3 : 4 : 5 : 7. The sum of the age of eldest and youngest person is ………….. . (A) 18 years (B) 60 years (C) 24 years (D) 30 years
Q.45
Fill in the box with >, < or = .
Q.48
The given figure (not drawn to scale) is made up of two overlapping squares, ABCD and PQRS. PMCN is also a square. Find the perimeter of the figure in terms of x.
(–7) – 8 – (–25) 50 – (–40) – (–2) (A) > (B) < (A) 44 x cm (C) 32 x cm
(C) = (D) Can't be determined ACHIEVERS SECTION Q.46
Q.49
The given bar graph shows the number of mobile phones sold at the 4 stores in May, June and July. Find the ratio of the total number of mobile phones sold at the 4 stores in May & June and June & July.
Q.47
(B) 1 : 2
(C) 5 : 6 (D) 10 : 21
Select the correct option. Statement-1 : A number for which sum of all its factors is equal to twice the number, is called a perfect number. Statement-2 : 16 and 48 are perfect numbers. (A) Statement-1 is true but Statement-2 is false. (B) Statement-1 is false but Statement-2 is true. (C) Both the statements are true. (D) Both the statements are false.
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Fill in the blanks. (P) Points are …………….. if they lie on the same line. (Q) ……………. is a chord of circle, passing through the centre.
(R) ……………. are lines which do not meet. P Q R (A) Non-collinear Diameter Perpendicular lines (B) Collinear Diameter Parallel lines (C) Collinear Radius Parallel lines (D) Non-collinear Diameter Parallel lines Q.50
(A) 3 : 4
(B) 22 x cm (D) 54 x cm
The length of pencil Q is exactly half way between the lengths of pencil P and pencil R. What is the total length of pencil P, Q and R ?
(A) 19
1 cm 14
(B) 34
13 cm 14
(C) 11
4 cm 7
(D) 10
23 cm 14
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