Pubali Bank Ltd - Senior Officer - 21.01.2016/গণিত এর প্রশ্ন পরুন ।

প্রশ্নঃ A person's present age is two-fifth of the age of his mother. After 8 years, he will be one-half of the age of his mother. How old is the mother at present?

বর্ণনাঃ

Let the mother's present age be x years. Then, the person's present age = 2/5 x years. $$\begin{gathered} \therefore \left(\frac{2}{5}x+8\right)=\frac{1}{2}\left(x+8\right) \\ \Rightarrow 2\left(2x+40\right)=5\left(x+8\right) \\ \Rightarrow x=40 \end{gathered}$$

প্রশ্নঃ A cricket team won 3 matches more than they lost. If a win gives them 2 points and loss(-1) point, how many matches, in all, have they played if their score is 23?

বর্ণনাঃ

Let the number of matches lost = x
Then, number of matches won= x+3
$$\begin{gathered} \therefore 2(x+3)-x=23 \\ \Rightarrow x=17 \end{gathered}$$
Hence, total number of matches played =x+(x+3)=2x+3=37

প্রশ্নঃ If 35% of a number is 175, then what percent of 175 is the number?

বর্ণনাঃ

$$\begin{gathered} Let the number be x \\ 35\% of x=175 \\ \Rightarrow \frac{35x}{100} =175 \\ \Rightarrow x=500 \\ Again,y\% of 175=500 \\ \Rightarrow \frac{175y}{100}=500 \\ \Rightarrow y=\frac{2000}{7} \\ \therefore y=285·71\% \end{gathered}$$
Hence, the as. is 'None of these'

প্রশ্নঃ A person takes a loan of Tk. 200 at 5% simple interest. He returns Tk.100 at the end of 1 year. In order to clear his dues at the end of 2 years, he would pay :

বর্ণনাঃ

$Amount to be paid=Tk\left(100+200\times 5\times \raisebox{1ex}{$1$}\!\left/ \!\raisebox{-1ex}{$100$}\right.+110\times 5\times \raisebox{1ex}{$1$}\!\left/ \!\raisebox{-1ex}{$100$}\right.\right)=Tk.115·50$

প্রশ্নঃ The difference between the local value and the face value of 7 in the numeral 32675149 is ---

বর্ণনাঃ

(Local value of 7)-(Face value of 7) = (70000-7)=69993

প্রশ্নঃ The salaries of A, B, C are in the ratio 2: 3: 5. If the increments of 15%, 10% and 20% are allowed respectively in their salaries, then what will be the new ratio of their salaries?

বর্ণনাঃ

"Let A = 2k, B = 3k and C = 5k.
A's new salary = $\frac{115}{100}of2k=\left(\frac{115}{100}2k\right)=\frac{23k}{10}$
B's new salary = $\frac{110}{100}of 3k=\left(\frac{110}{100}3k\right)=\frac{33k}{10}$
C's new salary = $\frac{120}{100}of 5k=\left(\frac{120}{100}5k\right)=6k$
$\therefore New Ratio\left(\frac{23k}{10}:\frac{33k}{10}:6k\right)=23:33:60$

প্রশ্নঃ 12 men working 8 hours per day complete a piece of work in 10 days. To complete the same work in 8 days, working 15 hours a day, the number of men required, is

বর্ণনাঃ

"Let the required number of men be x
Less days, More men (Indirect Proportion)
More working hrs per day, Less men (Indirect Proportion)
Days 8 : 10
Working hrs 15 : 8 :: 12 : x
$$\begin{gathered} \Rightarrow 8\times 15\times x=10\times 8\times 12 \\ \Rightarrow x=\frac{10\times 8\times 12}{8\times 15} \\ \Rightarrow x=8 \end{gathered}$$

প্রশ্নঃ Three numbers are in the ratio of 3 : 4: 6 and their product is 1944. The largest of these numbers is ---

বর্ণনাঃ

"Say the numbers are 3x, 4x, and 6x .Product is multiplication so :
$$\begin{gathered} \left(3x\right)\left(4x\right)\left(6x\right)=1944 \\ \Rightarrow 72x^3=1944 \\ \Rightarrow x^3=27 \\ \therefore x=3 \end{gathered}$$
So, the largest number = 6x = 6(3) = 18

প্রশ্নঃ A, B and C started a business by investing Tk. 1,20,000, Tk. 1,35,000 and Tk. 1,50,000 respectively. Find the share of A, out of an annual profit of Tk. 56,700.

বর্ণনাঃ

"Ratio of shares of A,B and C = Ratio of their investments
= 120000:135000:150000 = 8 : 9 : 10
Total of ratio = (8 + 9 + 10) = 27
$$\begin{gathered} \therefore A\text{'}s Share = Tk \left(56700\times \frac{8}{27}\right) \\ =Tk 16800 \end{gathered}$$

প্রশ্নঃ Village T is in which direction with respect to village R? 1. T is to the North of W which is to the West of S. 2. T is to the North-West of S. 3. W is to the North-West of R.

বর্ণনাঃ প্রশ্নটি হলো R গ্রামটি থেকে T গ্রামটির অবস্থান কোন দিকে? এখন I থেকে III পর্যন্ত ইঙ্গিতগুলো পর্যালোচনা করা যাক। এখন উপরোক্ত তিনটি ইঙ্গিত থেকে বোঝা যায় যে, R থেকে W এবং W থেকে T এর অবস্থান নির্ণয় করা সম্ভব। এখানে S থেকে T এর অবস্থান অপ্রাসঙ্গিক। তাই I এবং III নং ইঙ্গিত থেকে R গ্রামটি থেকে T গ্রামটির অবস্থান নিণংয় করা যায়।

প্রশ্নঃ Four subjects ---physics, Chemistry, Mathematics and Biology ---were taught in four consecutive periods of one hour each starting from 8.00 a.m. At what time was the chemistry period scheduled? 1. Mathematics period ended at 10.00 a.m, which was preceded by Biology. 2. Physics was scheduled in the last period. 3. Mathematics period was immediately followed by Chemistry.

বর্ণনাঃ ইঙ্গিতগুলো নিচে ক্লাস রুটিন আকারে সাজালেই বোঝা যাবে Chemistry ক্লাস কখন হবে।

প্রশ্নঃ Who is the tallest among six boys P, T, N, D, Q and R? 1. P is taller than D and N but not as tall as T. 2. R is taller than Q but not as tall as T. 3. Q is not taller than T and R.

বর্ণনাঃ Taller বুঝানোর জন্য> (greater than) এবং not tall as বুঝানোর জন্য (not greater than) ব্যবহার করে ইঙ্গিতগুলো সাজালেই উত্তর পাওয়া যাবে। i. P > D and N but P > T So here taller is T ii. R > Q but R > T So here taller is T iii. Q > T and R so here taller is T and R

প্রশ্নঃ 1,6,15,?,45,66,91

বর্ণনাঃ The pattern is + 5, + 9, ........., + 17 + 21, + 25 Missing number = 15 + 13 = 28

প্রশ্নঃ T,R,P,N,L,??

বর্ণনাঃ T – 2 = R, R – 2 = P, P – 2 = N, N – 2 = L, L – 2 = J, J – 2 = H

প্রশ্নঃ Find the wrong number in the series : 3,8,15,24,34,48,63

বর্ণনাঃ The difference between consecutive numbers of the given series are respectively 5, 7, 9, 11, 13 and 15. Therefore, 24 + 11 = 35 but in this question it is given as 34. So 34 is wrong number.