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Kanchan is thinking of a 5-digit number. The number is a multiple of 5. The ten's place digit is the highest common factor of 16 and 24. The hundred's place digit is the smallest odd number. The ten thousand's place digit is an even prime number. The thousand's place digit is the third multiple of the sum of the ten thousand's place and hundred's place digit. There are only 2 even digits in the number. What number is Kanchan thinking of?

A 23180
B 23185
C 29182
D 29185

Fill in the blanks and select the correct option.
(i) The number of pair of parallel lines and intersecting lines in the given figure are P and Q respectively.

(ii) Number of acute angles in the given figure are R.


AP - 2; Q - 4; R - 4
BP - 4; Q - 3; R - 3
CP - 3; Q - 3; R - 4
DP - 4; Q - 6; R - 3

If the arithmetic mean of 5 consecutive odd numbers is 63, then the fourth number in the series is

A63
B65
C67
D69

A covered wooden box has the inner measures as 115 cm, 75 cm, 35 cm and the thickness of wood is 2.5 cm. Then the volume of the wood is ______.

A 80000 cu. cm
B 82125 cu. cm
C 84000 cu. cm
D 85000 cu. cm

A solid wooden toy is in the shape of a right circular cone mounted on a hemisphere. If the radius of the hemisphere is 4.2 cm and the total height of the toy is 10.2 cm, find the volume of the wooden toy.

A 266.11 cm³
B 301.12 cm³
C 242.36 cm³
D 278.34 cm³

Which of the following is true for the shaded fractions of models shown below?

P : Shaded part of model-1,
Q : shaded part of model-2

A P = Q
B P < Q
C P > Q
D None of these

Read the statements carefully and select the correct option.
Statement-I : The product of an integer and a rational number can never be a natural number.
Statement-II : The quotient of division of an integer by a rational number can never be an integer.

ABoth Statement-I and Statement-II are true.
BBoth Statement-I and Statement-II are false.
CStatement-I is true but Statement-II is false.
DStatement-I is false but Statement-II is true.

Subtract the largest 4-digit even positive integer from the largest 5-digit odd negative integer?

A 19999
B 19998
C -19998
D –19999

Multiply the second multiple of 9 by 12.

A 18
B 108
C 54
D 216

Compare and fill the box.
795 × 999 + 795 887 × 10 × 461 – 361 × 8870

A >
B <
C =
D Cannot be determined