২৩০৯১
Find the next number of the series 7, 10, 14, 16, 21, 22, -
উত্তর
28
সমাধান
ধারাটির বিজোড় স্থানের পদগুলি হচ্ছে ৭, ১৪, ২১এখানে সাধারণ অন্তর ৭ধারাটির পরবর্তী পদ = ২১+৭ =২৮
২৩০৯২
Replace the question mark of the series 2B, 4C, 8E, 14H, (?) from the following alternatives.
উত্তর
22L
সমাধান
B C (D) E (F G) H (I J K) L 2+2 = 44+4 = 88+6 = 1414+8 = 22so the required answer is = 22L
২৩০৯৩
Mamun is twelfth from the left and Alam is fifteenth from the right in a row. If we interchange their positions, Alam becomes twentieth from right. How many boys are there in the row?
উত্তর
31
২৩০৯৪
The total population of 10 countries in the Asian zone is greater than the total population of 11 countries in the European zone. What can we say if one of the countries is dropped from the Asian zone?
উত্তর
We cannot say anything conclusively
সমাধান
Population may vary in different countries. Thats why we cant say anything conclusively if one of the countries is dropped from the Asian zone.
২৩০৯৫
In order to obtain an income of Tk. 650 from 10% stock at Tk. 96, one must make an investment of:
উত্তর
Tk. 6500
সমাধান
Hints: 10% profit in TK.96 = 96 × 10% = 9.6 TK
If profit 9.6TK. then investment 96 TK
If profit 1 tk then investment 96/9.6 tk
if profit 650 tk then investment 96 × 650/9.6 = 6500 tk
২৩০৯৬
Excluding stoppages, the speed of a bus is 54 kmph and including stoppages, it is 45 kmph. For how many minutes does the bus stop per hour?
উত্তর
10
সমাধান
Hints : In case of 1 hour,
Without stoppages, the bus goes 54 km
with stoppages the bus goes 45 km
Distance ( 54 - 45) = 9 km
Nows, it goes 54 km in 60 mins
it goes 1 km in 60/ 54 km
if goes 9 km in 60 × 9/ 54 = 10 mins
২৩০৯৭
Train can travel 50% faster than a car. Both start from point A at the same time and reach point B 75 kms away from A at the same time. On the way, however, the train lost about 12.5 minutes while stopping at the stations. The speed of the car is:
উত্তর
120 kmph
সমাধান
Hints : Let, car speed = x
Train speed = 1.5x
Time taken for car to go 75 km = t and train to go = (t - 12.5)
t × x = ( t - 12.5) 1.5x
t = 37.5 mun
37.5x = 75
x = 2km/min
x = 120 km/h
২৩০৯৮
Running at the same constant rate, 6 identical machines can produce a totoal of 270 bottles per minute. At this rat, how many bottles could 10 such machines produce in 4 minutes?
উত্তর
1800
সমাধান
Hints : 270 × 10 × 4/ 6 = 1800
এই ধরনের গণিত গুলা কম সময়ে এভাবে করবেন।
২৩০৯৯
A and B invest in a business in the ratio 3: 2. If 5% of the total profit goes to charity and A's share is Tk. 855, the total profit is:
উত্তর
Tk. 1500
সমাধান
Hints : Profit of A = 3 × Total profit × .95/3 + 2
855 = 3 × Total profit × .95 /5
Total profit = 1500
২৩১০০
A man buys Tk. 20 shares paying 9% dividend. The man wants to have an interest of 12% on his money. The market value of each share is:
উত্তর
Tk. 21
সমাধান
Hints, Without 9% dividend the share price is = 20 - 20 × 9% = 20 - 1.8 = 18.2
with 12% interest the market value is = 18.2 + 18.2 + 12% = 18.2 + 2.184 = 20.384 = 21