61.
In triangle ABC, AB = AC and ∠A = 70°. Find the value of ∠C.
(A)
45°
(B)
75°
(C)
65°
(D)
55°
62.
The following table shows the marks obtained out of 100, by four students in four different subjects. The total marks scored by Ronak in all the subjects is what percentage of the total marks scored by Shivam, Sonu, Arnav together in all the subjects?
(A)
40.63%
(B)
44.46%
(C)
34.63%
(D)
30.46%
63.
A part of ₹48,500 is invested at a simple interest of 15% per annum. The rest of the money is invested at the rate of 10% simple interest per annum after 2 years of the first investment. The ratio of interest after 5 years from the time when the first amount was invested is 5 : 3. How much is the second part that was invested( in ₹) at the rate of 10% simple interest?
(A)
20,940
(B)
29,100
(C)
24,900
(D)
19,400
64.
A woman working in a company was supplied a rectangular solid (cuboid shape) of wax with dimensions 70 cm , 44 cm and 20 cm to prepare cylindrical candles, each 14 cm in diameter and 20 cm of height. Find the number of candles.
(A)
15
(B)
20
(C)
10
(D)
30
65.
Solve the following:
(A)
2
(B)
1
(C)
0
(D)
−1
66.
A trader sells an article at 16% below its cost price. Had he sold it for ₹192.20 more, he would have gained 15%. The new selling price (in ₹) of the article is:
(A)
742
(B)
731
(C)
713
(D)
724
67.
Sita takes a loan of Rs.35,000 at an interest rate of 10% compound interest, compounded annually. She agrees to pay two equal instalments in 2 years, one instalment at the end of each year. Find the value of each instalment.(Round off to the nearest integer)
(A)
₹20,167
(B)
₹40,167
(C)
₹10,167
(D)
₹30,167
68.
Find the value of the following expression.
(A)
−15
(B)
−20
(C)
20
(D)
15
69.
What must be added to (x3 - 3x2 + 4x - 75) to obtain a polynomial that is exactly divisible by (x - 5)?
(A)
5
(B)
6
(C)
4
(D)
2
70.
The breadth of a room is twice its height and half its length. The volume of the room is 1728 m3.The length of the room is:
