All India Open Mathematics Scholarship Examination
Std. 3 Mega Final July 2015 Page 1
Since 1996 Total Questions : 15 Time : 45 minutes
Q. 1. A ‘stair- step’ is made up of alternating black and white squares
in each row. Rows 1 to 4 are shown. All rows begin and end
with a white square.
The number of black squares in the 37th row is?
(1) 16 (2) 35 (3) 36 (4) 19
Q. 2. The six faces of the dice are numbered 1 to 6. If two such dice are dropped on the table,
Which of these cannot be the total of the numbers visible of both the dices?
(1) 28 (2) 35 (3) 30 (4) 40
Q. 3. In this partly completed pyramid, each rectangle is 105
to be filled with the sum of the two numbers in the 47
rectangles immediately below it. When you complete 31
the pyramid what number would be in place of X ?
13
(1) 5 (2) 3
(3) 7 (4) 4 9 X
Q. 4. Amar said, “ When I was 4 years old my sister Anita was half my age”. Today my sister is
is 14 years old, how old I am?
(1) 18 years (2) 28 years (3) 16 years (4) 14 years
Q. 5. At the start of the school examination, Rita`s pencil measured as shown in the first figure.
After the last day of the examination the pencil measured as shown in the second figure
1 2 3 4 5 6
I
By how much did the pencil
shortened if the scale shows the 1 2 3 4 5 6
II
measures in centimeters?
(1) 1.25 cm (2) 2.25 cm (3) 1.50 cm (4) 1.75 cm
Q. 6. What should be the time in the 4th clock?
• • • • • • • • • • • •
(1) 2: 45
• • • • • • • •
(2) 1: 15
• • • • • • • • • • • •
(3) 1: 45 • • • • • • • •
(4) 2: 30
• • • • • • • • • • • •
Q. 7. Use each digit only once from 1, 2, 3, 4, 5 and 7 in the boxes
to make two three digit numbers such that their sum is the greatest.
Which of the following could be the greatest sum obtained +
(1) 1255 (2) 1273
(3) 1275 (4) 1264
Std. 3 Mega Final July 2015 Page 2
Q. 8. The figure given besides is an isosceles triangle. Side AB
A
)
and Side BC are equal in length. What can be the meassure 28º
of the angle x and y?
(1) 50º , 102º (2) 76º , 76º x y
B C
(3) 60º , 60º (4) 86º , 86º
Q. 9. Study the numbers in the first two triangle and find out the number that will replace the in the
third triangle?
4 3 5
12 21
6 8 7 9 8 10
(1) 25 (2) 26 (3) 16 (4) 40
Q.10. How many numbers can divide 20 completely leaving no remainder?
(1) 4 (2) 5 (3) 3 (4) 6
Q. 11. At which of the following time does the hour hand and the minute hand of a clock form the
greatest angle?
(1) 3 : 00 (2) 9 : 30 (3) 3 : 30 (4) 9 : 00
Q. 12. In which of the following are the given fraction arrangeed in the ascending order of their values?
2 2 2 2 2 2 2 2
(1) , , , (2) , , ,
7 3 5 9 9 3 5 7
2 2 2 2 2 2 2 2
(3) , , , (4) , , ,
3 5 7 9 9 7 5 3
Q. 13. A dice has the digits 1 to 6 on them. If two such dies are dropped, the total of the numbers
visible is 33. What can be the greatest product of the hidden two numbers?
(1) 24 (2) 18 (3) 20 (4) 30
Q. 14. Three mangoes and five bananas together weigh 700 grams. If the banana weighs 50gm
then how much does one mango weigh?
(1) 100 gm (2) 150 gm (3) 75 gm (4) 200 gm
Q. 15. Anita has 15 coins each of denomination 20 P, 25 P and 50 P. Which of the following amount
added to what she has can make Rs. 20 with her?
(1) Rs. 5 and 75 P (2) Rs. 4 and 75 P
(3) Rs. 5 and 25 P (4) Rs. 6 and 25 P
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