671.
The areas of two similar triangles ΔPQR and ΔXYZ are 12.96 cm2 and 635.04 cm2, respectively. If QR = 2.9 cm, then the
length (in cm) of YZ equals:
(A)
30.4
(B)
20.3
(C)
23.2
(D)
25.2
672.
The perimeter of a minor sector of a circle of radius 4 units subtending an angle of 45° is:
(A)
4 − π units
(B)
8 − π units
(C)
8 + π units
(D)
4 + π units
673.
How many numbers lie between 2000 and 2020 that are divisible by 8?
(A)
2
(B)
5
(C)
3
(D)
4
674.
During the first year the population of a village increased by 5% and during the second year it diminished by 5%. At the end
of the second year its population was 47,880. What was the population at the beginning of the first year?
(A)
45000
(B)
48000
(C)
43500
(D)
53000
675.
A boat can travel 60km downstream in 4 hours. If the speed of the boat in still water is 13 km/h, then in what time will it
cover 30 km upstream?
(A)
(B)
(C)
(D)
676.
In ΔABC,XY is drawn parallel to BC, cutting sides at X and Y, where AB = 5.4 cm ,BC = 7.2 cm and BX = 3 cm. What is the
length of XY (in cm)?
(A)
4.3
(B)
3.0
(C)
3.2
(D)
2.8
677.
The ratio of a father’s age to his son’s age is 7 : 4. The product of the numbers representing their ages is 1372. The ratio of
their ages after 8 years will be:
(A)
19 : 11
(B)
19 : 12
(C)
19 : 13
(D)
19 : 14
678.
Two circles of radius 7 units each, intersect in such a way that the common chord is of length 7 units. What is the common
area in square units of the intersection?
(A)
(B)
(C)
(D)
679.
Successive division of a number by 2, 3, 5 and 7 gives remainders 1,4,0 and 5, respectively. What will be the sum of the
remainders if the same number is divided by 7, 5,3 and 2 successively?
(A)
8
(B)
9
(C)
10
(D)
17
680.
Sumit’s income in 2020 was ₹21,000. He gets an increment of 10% every year. What was his income in 2022?
