401.
If 42 ÷ 3 + k × 3 – 22 ÷ 11 + 4 = 28, then the value of k is:
(A)
0
(B)
1
(C)
4
(D)
2
402.
In a triangle PQR, RS intersects PQ at point S. The sides of the triangle QR = 36 cm, SQ = 27 cm, RS = 18 cm and ∠QRS =
∠QPR. What is the ratio of the perimeter of ∆PRS to that of ∆QSR?
(A)
(B)
(C)
(D)
403.
The centres of two circles of radii 20 cm and 32 cm are 60 cm apart. What is the ratio of the length of the direct common
tangent to the length of the transverse common tangent to these circles?
(A)
(B)
(C)
(D)
404.
With a uniform speed, a car covers a distance in 16 hours. Had the speed been increased by 20 km/h, the same distance
would have been covered in 12 hours. The total distance covered by the car is:
(A)
720 km
(B)
1080 km
(C)
960 km
(D)
480 km
405.
Chords AB and CD of a circle, when produced, meet at a point P outside the circle. If AB = 6 cm, CD = 3 cm and PD = 5 cm,
then PB is equal to:
(A)
9 cm
(B)
8 cm
(C)
4 cm
(D)
6 cm
406.
An article is of size 9 cm × 6 cm × 3 cm. The number of such articles that can be packed in a box measuring 63 cm × 42 cm ×
21 cm is:
(A)
343
(B)
243
(C)
49
(D)
196
407.
A cuboid with dimensions 20cm, 12cm, and 10 cm is cut into 8 identical pieces by 3 cuts. What will be the total surface area
of all the pieces?
(A)
(B)
(C)
(D)
408.
Select the option figure in which the given figure is embedded as its part (rotation is NOT allowed).
(A)
(B)
(C)
(D)
409.
Select the option in which the given figure is embedded (rotation is NOT allowed).
(A)
(B)
(C)
(D)
410.
Select the set in which the numbers are related in the same way as are the numbers of the following sets.
(NOTE : Operations should be performed on the whole numbers, without breaking down the numbers into its constituent
digits. E.g. 13 – Operations on 13 such as adding/deleting/multiplying etc. to 13 can be performed. Breaking down 13 into 1
and 3 and then performing mathematical operations on 1 and 3 is not allowed.)
(84, 28, 7)
(144, 48, 12)