Back Q1 - Q15

16. How many pairs of digits (p, q) are there so that the five-digit integer ‘p869q’ is a multiple of 15?

A:
2
B:
3
C:
4
D:
5
E:
6
Back Q1 - Q15

17. The areas of the two rectangles in the diagram are 25 cm² and 13 cm² as indicated.

What is the value of x?

A:
3
B:
4
C:
5
D:
6
E:
7
Back Q1 - Q15

18. Between them, the two five-digit integers M and N contain all ten digits from 0 to 9.

What is the least possible difference between M and N?

A:
123
B:
247
C:
427
D:
472
E:
742
Back Q1 - Q15

19. Which one of these could be folded to make a cube?

A:
B:
C:
D:
E:
Back Q1 - Q15

20. A drawer contains ten identical yellow socks, eight identical blue socks and four identical pink socks.

Amrita picks socks from the drawer without looking.

What is the smallest number of socks she must pick to be sure that she has at least two pairs of matching socks?

A:
5
B:
6
C:
8
D:
11
E:
13
Back Q1 - Q15

21. There are ______ vowels in this short sentence.


Which of the following options should replace “_______” to make the sentence in the box true?

Back Q1 - Q15

22.

How large is ∠UT S?

Back Q1 - Q15

23. Ali wants to fill the empty squares so that the number in each square after the fourth from the left is the sum of the numbers in the four squares to its left.

What number should Ali write in the final square?

A:
16
B:
8
C:
4
D:
2
E:
1
Back Q1 - Q15

24. The shapes P and Q are formed from two and three identical rectangles, respectively. Their perimeters are 58 cm and 85 cm respectively.

What is the perimeter of one of the rectangles?


Back Q1 - Q15

25. In the diagram PQ and QR are sides of a regular n-sided polygon, ∠SPQ = ∠SRQ = 80°, ∠PTR = 70° and PT = ST = RT.


What is the value of n?

A:
15
B:
18
C:
20
D:
24
E:
30

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