২৩২৫১
The market value of a 10.5% stock, in which an income of Tk. 756 is dervided by investing Tk.900, brokerage being 1/4%, is:
উত্তর
Tk. 124.75
সমাধান
Hints: income 756 Tk হলে investment = 9000Tk
income 21/2 Tk হলে investment = (9000/756 × 21/2) = 125Tk
100 Tk stock এর জন্য investment = 125Tk
market value = (125 - 1/4) = 124.75
২৩২৫২
A board of length L feet is cut into two pieces such that the length of one piece is 1 foot more than twice the length of the other piece. Which of the following is the length, in feet, of the longer piece?
উত্তর
(2L+1)/3
সমাধান
Let length of piece A = 2x - 1
length of piece B = x
2x - 1 + x = L
= >3x - 1 = L
= >x = (L + 1)/3
length of piece A = 2[(L + 1)/3] - 1
= (2L + 2 - 3)/3 = (2L - 1)/3
২৩২৫৩
In how many ways can the letters of the word 'LEADER' be arranged?
উত্তর
360
সমাধান
Hints: LEADER এ ৬টি শব্দ আছে, এর মধ্যে ২ টি E
সাজানো উপায় = 6!/2! = (6 × 5 × 4 × 3 × 2 × 1)/ (2 ×1) = 360
২৩২৫৪
A cyclist travels x miles in w hours and z minutes. What is the cyclist's speed in miles per hours and z minutes. What is the cyclist's speed in miles per hour?
উত্তর
60x/(60w+z)
সমাধান
d = s×t
t = z/60 + w
so s = 60x/(60w + z)
২৩২৫৫
When the numerator of a frction increases by 4, the fraction increases by 2/3. The denominator of the fraction is:
উত্তর
6
সমাধান
Hints: ধরি, function টি x/y, তাহলে (x + y) /y - x/y = 2/3
4/y = 2/3
y = (4 × 2) /2 = 6
২৩২৫৬
A student multiplied a number by 3/5 instead of 5/3. What is the percentage of error in the calculation?
উত্তর
64%
সমাধান
Hints: ধরি, number টি x
তাহলে error = 5x/3 - 3x/5 = 16x /15
% of error = (16x/15) × (3/5x) × 100 % = 64%
২৩২৫৭
If the average (arithmetic mean) of 16, 20 and n is between 18 and 21 inclusive, what is the greatest possible value of n?
উত্তর
27
সমাধান
we must take such a value of n for which the average must be in between 18 to 21, inclusive. It means 21 can be the average . We are looking fro greatest value of n. So, we must take 21 as average of this 3 numbers.
16 + 20 + n = 3×21
= > 36 + n = 63
∴n = 27.
২৩২৫৮
A bar of soap has a volume of 18 cubic inches. Jasim used it until it measured 2.75 inches by 2 inches by 1 inch. How many cubic inches of soap did jasim use?
উত্তর
12.5
২৩২৫৯
Two groups of tourist each have 60 people. If three-fourth (i. e. 75%) of the first group & two-third of the 2nd group baord buses to travel to a museum, how many more people of the first group board buses compared to the second group?
উত্তর
5
২৩২৬০
A triangle has a perimeter of 36 centimeters. If the length of each side is increased by 50, the new perimeter will be?
উত্তর
54 cm
সমাধান
A 50% increase in the side lengths will result in a 50% increase in the perimeter as well. S, the new perimeter of the triangle = 36 + 50% of 36 = 36 + 18 = 54 cm