২২৯০১
A vertical pole 6 feet high casts a shadow 4 feet long. At the same time a tree cast a shadow 64 feet long. What is the length, in feet, of the trees?
উত্তর
96
সমাধান
Let, length of the trees = X feetas per condition, 64 = X64 X = 96So, the length of the tree = 96 feet (Ans)
২২৯০২
The least number of 5 digits which is exactly divisible by 12, 15, and 18 is -
উত্তর
10080
সমাধান
12, 15, 18
L.C.M = 2×2×3×5×3 = 180 Least no. of 5 digis = 10000
Remainder = 100
Least number = 10000 + ( 180 - 100) = 10080
২২৯০৩
The average of six numbers is 6. If 3 is subtracted from each of the numbers, what is the new average?
উত্তর
3
সমাধান
Sum of 6 numbers are = 6*6 = 36After subtracting 3 from each of the numbers, the new 6 numbers are = 36 - 6*3 = 18the new average = 18/6 = 3 (Ans)
২২৯০৪
A boy multiplied 423 by a number and obtained 65589 as his answer. If both the fives in the answer are wrong and all other figures are correct, the correct answer is-
উত্তর
60489
সমাধান
Obeservation of the results tell us that the multiplier should end with a 3 o as ( 3×3) = 9 and should be between 140 and 160 as ( 423 × 160) = 67680
The possible multiplicants thoufare are 143, 153, and 163 while trying to multiply 153, and 163 don't give 89 as the last 2 digit
Multiply 423 to arrive to 60489
২২৯০৫
What is the eight term of the sequence 1, 4, 9, 16, 25,....,....,.....?
উত্তর
64
সমাধান
This is a square number sequence, so the eighth term will be 82 =64
২২৯০৬
The least perfect square,which is divisible by each 21, 36 and 66 is -
উত্তর
213444
সমাধান
L.C.M of 21, 36, 66 = 2×2×3×3×7×11 = 2772
To make it a perfect square , it must be multiplied by. 7 × 11
So, required number = 22× 32×72×112 = 213444
২২৯০৭
The average of five consecutive average number is 61. What is the difference between the highest and lowest number?
উত্তর
8
সমাধান
Let, number be x, x + 2, x + 4, x + 6, and x + 8
Then ( x + x + 2 + x + 4 + x + 6 + x + 8)5 = 61
5x + 20 = 305
x = 57
২২৯০৮
The total of 10 number is 462; the average of the first 4 numbers is 52; the average of the last 5 numbers is 38. What is the fifth number?
উত্তর
64
সমাধান
The total of the first 4 numbers = 4×52 = 208
The total of the last 5 numbers = 5×38 = 190
The total of the (4 + 5 = 9) numbers = 208 + 190 = 398
So, the fifth number = 462 - 398 = 64
২২৯০৯
A book had a catalogue price of Tk. 400. It was sold at a discount of 15%. If the book had a cost of Tk. 200, what was the percentage of profit?
উত্তর
70
সমাধান
Selling Price = 400 - 400×15100 = 340tkCost Price = 200tkprofit = 340 - 200 = 140tkpercentage of profit = 140×100200 = 70 (Ans.)
২২৯১০
If K is an integer and.0010100 x 10k is greater than 1000, what is the least possible value of K?
উত্তর
6
সমাধান
By option test:
0.0010101*10^6 = 1010.1
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