লগ ইননিবন্ধন
পরীক্ষা আর্কাইভ

ব্যাংক নিয়োগ প্রস্তুতি ⎯ লং কোর্স

পরীক্ষাব্যাংক নিয়োগ প্রস্তুতি ⎯ লং কোর্সতারিখতারিখ অনির্ধারিতসময়45 minutes
মোট প্রশ্ন২৬
সিলেবাস
Simplification, Decimal Fraction, Square Root & Cube Root [ব্যাংকের সকল পরীক্ষা যেকোনো প্যাকেজের জন্য ফ্রি]
প্রশ্ন দেখুনঅনুশীলন
ঘনত্ব
উত্তর
উত্তরিতবর্তমানপুনরায় দেখুনঅসম্পূর্ণ

ব্যাংক নিয়োগ প্রস্তুতি ⎯ লং কোর্স

ব্যাংক নিয়োগ প্রস্তুতি ⎯ লং কোর্স · তারিখ অনির্ধারিত · ২৬ প্রশ্ন

১.
A man has some hens and cows. If the number of heads be 48 and the number of feet equals 140, then the number of hens will be:
  1. ক
    ক) 32
  2. খ
    খ) 27
  3. গ
    গ) 34
  4. ঘ
    ঘ) 26
ব্যাখ্যা

Let the number of hens be x and the number of cows be y.
Then, x + y = 48 .... (i)
and 2x + 4y = 140
x + 2y = 70 .... (ii)
Solving (i) and (ii) we get: x = 26, y = 22.
The required answer = 26.

২.
5 - [4 - {3 - (3 - 3 - 6)}] is equal to:
  1. ক
    ক) 10
  2. খ
    খ) 20
  3. গ
    গ) 15
  4. ঘ
    ঘ) 5
ব্যাখ্যা

Given,
5 - [4 - {3 - (3 - 3 - 6)}]
= 5 - [4 - {3 - (-6)}]
= 5 - [4 - {3 +6}]
= 5 - [4 - {9}]
= 5 - [4 - 9]
= 5 - [-5]
= 5 + 5
= 10

৩.
1+1/2+1/4+1/7+1/14+1/28 is equal to = ?
  1. ক
    ক) 2
  2. খ
    খ) 3
  3. গ
    গ) 4
  4. ঘ
    ঘ) 5
ব্যাখ্যা

Here,
(28+14+7+4+2+1)/ 28 = 56/ 28 =2

৪.
The number, whose square is equal to the difference of the squares of 75.15 and 60.12, is = ?
  1. ক
    ক) 56.39
  2. খ
    খ) 88.06
  3. গ
    গ) 45.09
  4. ঘ
    ঘ) 47.06
ব্যাখ্যা

Let the number be = x
According to question,
x2=(75.15)2−(60.12)2
⇒x2=(75.15+60.12)(75.15−60.12)
⇒x2=135.27×15.03
⇒x2=2033.1081
⇒x=45.09

৫.
If the sum of the squares three consecutive natural numbers is 110, then the smallest of these natural numbers is = ?
  1. ক
    ক) 5
  2. খ
    খ) 6
  3. গ
    গ) 7
  4. ঘ
    ঘ) 8
ব্যাখ্যা

Let the three consecutive numbers are x, x + 1, x + 2
According to question
x2 + (x + 1)2 + (x + 2)2 = 110
⇒ x2 + x2 + 1 + 2x + x2 + 4 + 4x = 110
⇒ 3x2 + 6x + 5 = 110
⇒ 3x2 + 6x - 105 = 0
⇒ x2 + 2x - 35 = 0
⇒ x2 + 7x - 5x - 35 = 0
⇒ x(x + 7) -5(x + 7) = 0
⇒ (x + 7)(x - 5) = 0
⇒ x = 5 & -7
[∴ (-) value can not considered]
∴ Smallest number is = 5

৬.
If 3a+4b/ 3c+4d = 3a−4b/ 3c−4d then
  1. ক
    ক) ab = cd
  2. খ
    খ) ad = bc
  3. গ
    গ) ac = bd
  4. ঘ
    ঘ) a = b =c ≠ d
ব্যাখ্যা

According to question,
3a+4b /3a−4b = 3c+4d/ 3c−4d
⇒ 3a/4b = 3c/4d
⇒ad=bc

৭.
The number of pairs of natural numbers the difference of whose squares is 45 will be?
  1. ক
    ক) 2
  2. খ
    খ) 3
  3. গ
    গ) 4
  4. ঘ
    ঘ) 5
ব্যাখ্যা

Let the numbers be x and y
According to question,(x>y)
x2−y2=45
(x+y)(x−y)=45
Make factor of 45
15×3
9×5
45×1
Total 3pairs
These pairs gives the value of x and y which satisfy the given condition.

৮.
200 ÷ 25 × 4 + 12 - 3 = ?
  1. ক
    ক) 40
  2. খ
    খ) 41
  3. গ
    গ) 42
  4. ঘ
    ঘ) 43
ব্যাখ্যা

200 ÷ 25 × 4 + 12 - 3
= 200/ 25 × 4 + 12 - 3
= 8 × 4 + 12 - 3
= 32 + 12 - 3
= 44 - 3
= 41

৯.
0.04 x 0.0162 is equal to:
  1. ক
    ক) 6.48 x 10-2
  2. খ
    খ) 6.48 x 10-4
  3. গ
    গ) 6.48 x 10-6
  4. ঘ
    ঘ) 6.48 x 10-8
ব্যাখ্যা

4 x 162 = 648. Sum of decimal places = 6.
So,
0.04 x 0.0162
= 0.000648
= 6.48 x 10-4

১০.
The rational number for recurring decimal 0.125125.... is:
  1. ক
    ক) 6/387
  2. খ
    খ) 119/93
  3. গ
    গ) 125/999
  4. ঘ
    ঘ) 125/99
ব্যাখ্যা

0.125125... = 0.125 = 125/999

১১.
The value of (489.1375 x 0.0483 x 1.956)/ (0.0873 x 92.581 x 99.749) is closest to:
  1. ক
    ক) 0.006
  2. খ
    খ) 0.06
  3. গ
    গ) 0.60
  4. ঘ
    ঘ) 6
ব্যাখ্যা

(489.1375 x 0.0483 x 1.956) / (0.0873 x 92.581 x 99.749)
≈ 489 x 0.05 x 2 / 0.09 x 93 x 100
= 489/ (9 x 93 x 10)
= (163/279)x (1/10)
= 0.58/ 10
= .058
≈ .06

১২.
How many digits will be there to the right of the decimal point in the product of 95.75 and .02554?
  1. ক
    ক) 3
  2. খ
    খ) 4
  3. গ
    গ) 5
  4. ঘ
    ঘ) 6
ব্যাখ্যা

Sum of decimal places = 7.
Since the last digit to the extreme right will be zero (since 5 x 4 = 20),
so there will be 6 significant digits to the right of the decimal point.

১৩.
4.036 divided by 0.04 gives :
  1. ক
    ক) 1.009
  2. খ
    খ) 10.09
  3. গ
    গ) 100.9
  4. ঘ
    ঘ) 10.90
ব্যাখ্যা
4.036/ 0.04 =403.6/4= 100.9
১৪.
When 52416 is divided by 312, the quotient is 168. What will be the quotient when 52.416 is divided by 0.0168?
  1. ক
    ক) 3.120
  2. খ
    খ) 31.20
  3. গ
    গ) 3120
  4. ঘ
    ঘ) None of these
ব্যাখ্যা

Given,
52416/312=168
⇔ 52416/ 168 =312
Now, 52.416/ 0.0168
= 524160/ 168
= (52416/ 168 )×10
=312×10
=3120

১৫.
The product of 0.09 and 0.007 is :
  1. ক
    ক) 0.00630
  2. খ
    খ) 0.000663
  3. গ
    গ) 0.06300
  4. ঘ
    ঘ) 0.00063
ব্যাখ্যা

9 × 7 = 63
Sum of decimal places = 5
∴ 0.09 × 0.007 = 0.00063

১৬.
The least perfect square, which is divisible by each of 21, 36 and 66 is:
  1. ক
    ক) 213444
  2. খ
    খ) 214344
  3. গ
    গ) 214434
  4. ঘ
    ঘ) 231444
ব্যাখ্যা

L.C.M. of 21, 36, 66 = 2772.
Now, 2772 = 2 x 2 x 3 x 3 x 7 x 11
To make it a perfect square, it must be multiplied by 7 x 11.
So, required number = 22 x 32 x 72 x 112 = 213444

১৭.
A group of students decided to collect as many paise from each member of group as is the number of members. If the total collection amounts to Tk. 59.29, the number of the member is the group is:
  1. ক
    ক) 73
  2. খ
    খ) 75
  3. গ
    গ) 77
  4. ঘ
    ঘ) 79
ব্যাখ্যা

Money collected = (59.29 x 100) paise = 5929 paise.
Number of members = √5929 = 77.

১৮.
48.2 × 2.5 × 2.2 + ? = 270
  1. ক
    ক) 2.9
  2. খ
    খ) 4.8
  3. গ
    গ) 4.9
  4. ঘ
    ঘ) 5.0
ব্যাখ্যা

Let the missing number be x
Given, 48.2 × 2.5 × 2.2 + x = 270
⇒ x = 270 - 48.2 × 2.5 × 2.2
⇒ x = 270 - 265.1
⇒ x = 4.9
Hence, the number is 4.9

১৯.
Vishal donates blood thrice in 2 years-each time 350 ml. How many litres of blood will he donate in 6 years?
  1. ক
    ক) 1.2 litres
  2. খ
    খ) 3.15 litres
  3. গ
    গ) 4.5 litres
  4. ঘ
    ঘ) 6.3 litres
ব্যাখ্যা

Quantity of blood donated in 2 years
= (350 × 3) ml
= 1050 ml
= 1.05 litres
∴ Quantity of blood donated in 6 years
=( 1.05/2 ×6)
= 3.15 litres

২০.
If 13 + 23 + 33 + .... + 93 = 2025, then the value of (0.11)3 + (0.22)3 + .... + (0.99)3 is close to :
  1. ক
    ক) 26.95
  2. খ
    খ) 36.95
  3. গ
    গ) 2.695
  4. ঘ
    ঘ) 3.695
ব্যাখ্যা

(0.11)3+(0.22)3+....+(0.99)3
=(0.11)3(13+23+....+93)
=0.001331×2025
=2.695275
≈2.695

২১.
(10.3×10.3×10.3+1) /(10.3×10.3−10.3+1) is equal to :
  1. ক
    ক) 10.3
  2. খ
    খ) 10.5
  3. গ
    গ) 11.3
  4. ঘ
    ঘ) 13.3
ব্যাখ্যা

Given expression :
= (10.3)3+13 / (10.3)2−(10.3×1)+12
= (a3+b3 / a2−ab+b2)
=(a+b)
=(10.3+1)
=11.3

২২.
Which number should replace both the x in the following equation?
x /1776 = 111/ x
  1. ক
    ক) 354
  2. খ
    খ) 544
  3. গ
    গ) 644
  4. ঘ
    ঘ) 444
ব্যাখ্যা

Let x /1776 = 111/ x
Then,
⇔x2=111×1776
⇔x2=111×111×16
⇔x= √ {(111)2×(4)2}
⇔x=111×4
⇔x=444

২৩.
Three-fifth of the square of a certain number is 126.15. What is the numbers?
  1. ক
    ক) 13.5
  2. খ
    খ) 14.5
  3. গ
    গ) 75.5
  4. ঘ
    ঘ) 145
ব্যাখ্যা

Let the number be x
Then,⇔3/5 x2 = 126.15
⇔x2=(126.15× 5/3)
⇔x2=210.25
⇔x= √ 210.25
⇔x=14.5

২৪.
If √24=4.889, the value of √(8/3) is = ?
  1. ক
    ক) 1.644
  2. খ
    খ) 1.533
  3. গ
    গ) 1.633
  4. ঘ
    ঘ) 1.666
ব্যাখ্যা

= √(8/3)
= √(8×3)/(3×3)
= √(24/3)
=4.899/3
=1.633

২৫.
The least perfect square number divisible by 3, 4, 5, 6 and 8 is = ?
  1. ক
    ক) 900
  2. খ
    খ) 1200
  3. গ
    গ) 2500
  4. ঘ
    ঘ) 3600
ব্যাখ্যা

L.C.M. of 3, 4, 5, 6, 8 is 120
Now 120 = 2 × 2 × 2 × 3 × 5
To make it a perfect square, it must be multiplied by 2 × 3 × 5
So, required number
=22×22×32×52
=3600

২৬.
By what least number must 21600 be multiplied so as to make it perfect cube?
  1. ক
    ক) 5
  2. খ
    খ) 10
  3. গ
    গ) 15
  4. ঘ
    ঘ) 20
ব্যাখ্যা

21600=25×33×52
To make it a perfect cube, it must be multiplied by (2 × 5), i.e., 10