IFIC Bank Ltd - Officer - 16.03.2012/গণিত এর প্রশ্ন পরুন ।

প্রশ্নঃ At present the total age of Rahim, Karim and Akkas is 81 years. what was their average age three years ago?

বর্ণনাঃ

Present total age of 3 person = 81 
3 years ago total age of 3 person = 81 – 3–3– 3 = 72 
So, their average age 3 years ago = 72 +3 = 24 years.

প্রশ্নঃ Two bus tickets from cit A to B and three tickets from city A to C cost Tk 77 but three tickets from city A to B and two tickets from city A to C cost Tk 73. What are the fares for cities B and C from city A?

বর্ণনাঃ

"Let, fare for B from A= x
Fare for C from A = y 
2x + 3y = 77
3x + 2y = 73 
x = 13, y = 17"

প্রশ্নঃ An institute organized a fair and 1/5 of the girls and 1/8 of the boys of the institute participated in that fair. What fraction of the total number of students of that institute took part in the fair?

বর্ণনাঃ

Only fraction of girls and boys are given separately. Not the total no of students or even what is the fraction of the total students that is boys or girls is not given. So can not be calculated.

প্রশ্নঃ A pineapple costs Tk 7 and a watermelon costs Tk 5. Rahim spent exactly Tk 38 on these fruits. What was the number of pineapples purchased?

বর্ণনাঃ

"Rahim spent exactly 38 Tk on both type of fruits. If he bought only one watermelon and used the rest (38-5) = 33 on pineapple, it would not be 'exact' as 33 can not be divided by 7 (the price of one pineapple)
2 watermelon, 4 pineapple = 2×5+4×7 = 38 Tk
3 watermelon, 3 pineapple = 3×5+3×7 = 36 Tk
So, only by buying 4 pineapples and 2 watermelon Rahim can spend exactly Tk 38."

প্রশ্নঃ A woman says, "If you reverse my own age , the figures represent my husband's age. He is senior to me and the difference between our ages is one-eleventh of their sum." What is her age now?

বর্ণনাঃ

"There isn't enough information to find the age by equations. So we should look at the answers.
A) is 23, reversed is 32,  = 32-23
 5 = 9, so wrong
b) is 34, reversed is 43, (34+43)/11 = 43-32
 7=9, wrong.
c) is 45, reversed is 54, (45+54)/11 = 54-45
 9=9, correct answer
d) is 50, reversed is 5, the husband is senior, so wrong."

প্রশ্নঃ A is 3 years older than B and 3 years younger than C. B and D are twins. How older is C than D?

বর্ণনাঃ

C-A =3
$\frac{A-D=3}{C-D=6}$

প্রশ্নঃ In a garden, there are 10 rows and 12 columns of trees. The distance between any two trees is 2 m and a distance of 1m is left from all sides of the boundary of the garden. What is the length of the garden?

বর্ণনাঃ

11×2 = 22 m, 1 m is left from the upper and lower side.
So length of the garden = 22-2 = 20m
No, of now is less than no of column, so length of column is the length of the garden.

প্রশ্নঃ In a cricket match, five batsmen A, B, C, D and E scored an average 36 runs. D scored 5 more than E; E scored 8 fewer than A; B scored as many as D and E combined; and B and C jointly scored 107. How many runs did E score?

বর্ণনাঃ

Let, E scored x
So, $\frac{x+8}{A}+\frac{x+5}{D}+\frac{x}{E}+\frac{107}{B+C}$ = 180
x = 20

প্রশ্নঃ At a dinner party every two guests shared a bowl of rice between them, every three guests shared a bowl of vegetable between them and every four shared a bowl of meat between them. There were altogether 65 bowls. How many guests were present at the party?

বর্ণনাঃ

Bowl = Guests
30×2 = 60 (rice)
20×3 = 60 (vegetable)
15×4 = 60 (meat)
so 30+20+15 = 60

প্রশ্নঃ There are deer and peacocks in a zoo. The total number of their heads is 80 and the total number of their legs is 200. How many peacocks are there?

বর্ণনাঃ

60 peacocks have (60×2) = 120 legs
so Remaining legs = (200-100) = 80 legs
so Remaining deers (80-60) = 20
We know each deer has 4 legs; so $\frac{80}{4}$ = 20

প্রশ্নঃ A tailor had a number of shirt pieces to cut from large piece pieces of fabric. He cut each large piece into 10 smaller pieces. He cut at the rate of 45 cuts per minute. How many large pieces would be cut in 24 minutes?

বর্ণনাঃ

$\frac{45 cut per minute \times 24 minutes}{10 smaller pieces}$ = 108 large pieces

প্রশ্নঃ What is the product of all the numbers in the dial of a telephone?

বর্ণনাঃ

0 (zero) is included in the dial, and product of any number and zero is zero.

প্রশ্নঃ What is the sum of 0.15, 0.10 and 0.65?

বর্ণনাঃ

0.15+0.10+0.65 = $\frac{9}{10}$

প্রশ্নঃ Which of the following fractions is the equivalent of 0.5%?

বর্ণনাঃ

$.5\% =.5\times \frac{1}{100}=\frac{1}{200}$

প্রশ্নঃ A farmer built a fence around around his square plot. He used 27 fence poles on each side of the square. How many poles did he need altogether?

বর্ণনাঃ

Lets see if he needed 5 poles at each side
Similarly, no. of poles = 27×2+25×2 = 104

প্রশ্নঃ In a city, 40% of the adults are illiterate while 85% of the children are literate. If the ratio of the adults to that of the children is 2:3, then what percent of the population is literate?

বর্ণনাঃ

Let, Adult = 100; Children = 150 So Ratio of literate = 60+85×1.5 or 127.5
Total = 60+ 127.5 = 187.5
In 250, literate = 187.5
So In 100, literate = $\frac{187.5\times 100}{250}$ = 75

প্রশ্নঃ The number of boys in a class is three times the number of girls. Which one of the following numbers cannot represent the total number of student in the class?

বর্ণনাঃ

No of girls = x
so x+3x = 4x
42 is not divisible by 4

প্রশ্নঃ In a family, each daughter has the same number of brothers as she has sisters and each son has twice as many sisters as he has brothers. How many sons there in the family?

বর্ণনাঃ

3 sons. 1 son has 2 brothers, twice of 2 brothers is 4 sisters, 1 sister has 3 sisters and 3 brothers.

প্রশ্নঃ A man has Tk 480 in the denominations of one-taka notes, five-taka notes and ten-taka notes. The number of notes of each denomination is equal. What is the total number of notes that he has?

বর্ণনাঃ

Let, each denomination is x 
1x + 5x + 10 x = 480
16x = 480 
x= 30
So total no of notes = 30 + 30 + 30 = 90

প্রশ্নঃ Which one of the following is an acceptable order, from first to last , in which the poems can appear in the magazine?

বর্ণনাঃ

প্রশ্নঃ If S appears on page 15, which one of the following poems must appear on page 25?

বর্ণনাঃ

প্রশ্নঃ If a poem by Orhaan appears on page 10, which one of the following is a pair of poems either of which could appear on page 35?

বর্ণনাঃ

প্রশ্নঃ If F and S appear on pages 30 pages 30 and 35, respectively, which one of the following is a pair of poems that must appear on pages 10 and 15, respectively?

বর্ণনাঃ

প্রশ্নঃ If H appears on page 25 , which one of the following is a complete and accurate list of all poems any one of which could appear on page 20?

বর্ণনাঃ