641.
A policeman received information that a thief is at a distance of 1.5 km from him. The thief starts moving by car and the
policeman chases him by car. The thief and the policeman are moving at the speeds of 90 km/h and 120 km/h respectively.
At what distance (in km) will the police catch the thief?
(A)
45.0 km
(B)
5 km
(C)
6 km
(D)
4.5 km
642.
The perimeter of a triangle is 36 units. Its area cannot be more than ______ square units.
(A)
(B)
(C)
(D)
643.
Find the difference between the curved surface area and total surface area of a right circular cylinder having a length of 68
cm and base diameter of 28 cm.
(A)
(B)
(C)
(D)
644.
Two circles of diameters 16 cm and 20 cm are such that the distance between their centers is 13 cm. What is the length (in
cm) of a common tangent to these circles that does not intersect the line joining the centers?
(A)
(B)
(C)
(D)
645.
An iron box with external dimensions 60 cm, 40 cm, and 20 cm is made of 1 cm thick sheet. If 1 cm3 of iron weighs 50 gm,
the weight of the empty box is:
(A)
214.05 kg
(B)
240 kg
(C)
400 kg
(D)
416.40 kg
646.
Let C be a circle with Centre O and P be an external point to C. Let PQ and PR be the tangents to C such that Q and R be the
points of tangency, respectively. If ∠ROQ = 110°, find ∠RPQ.
(A)
90°
(B)
70°
(C)
80°
(D)
110°
647.
Study the given bar-graph and answer the question that follows.
An electric vehicle company produces three different car models – A, B and C. The production of three different models over
a period of four years (in lakhs) has been shown the bar-graph.
The total production of model C in 2021 and 2022 is what percentage of the total production of model A in 2019 and 2020?
(A)
102.26%
(B)
105.22%
(C)
115.57%
(D)
122.22%
648.
If Δ ABC ~ Δ QRP; area of Δ ABC : area of Δ PQR = 9 : 4; AB = 18 cm and BC = 15 cm, then find the length of PR.
(A)
15 cm
(B)
10 cm
(C)
12 cm
(D)
14 cm
649.
If price of an article increases successively by 15% and 10%, respectively, then what is the percentage equivalent to a single
price increase of that article?
(A)
(B)
(C)
(D)
650.
The price of an article is first increased by 40% and then decreased by 45%, due to reduction in sales. Find the net
percentage change in the final price of the article.
