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Analytical Ability

মোট প্রশ্ন৬৫৯এই পাতা৫৭প্রতি পাতা১০০
প্রশ্ন দেখুনঅনুশীলন
ঘনত্ব
উত্তর
উত্তরিতবর্তমানপুনরায় দেখুনঅসম্পূর্ণ

Analytical Ability

PrepBank · পাতা ৭ / ৭ · ৬০১–৬৫৭ / ৬৫৯

৬০১.
A watch becomes fast by 5 minutes everyday. By what percent does it become fast?
  1. ক
    (25/72)%
  2. খ
    (1/5)%
  3. গ
    (1/2)%
  4. ঘ
    (5/72)%
  5. ঙ
    (1/3)%
ব্যাখ্যা

Question: A watch becomes fast by 5 minutes everyday. By what percent does it become fast ?
 
Solution: 
Number of minutes in a day = (24 × 60) = 1440

∴ Required percentage =(5/1440) × 100%
= (50/144)%
= (25/72)%

৬০২.
X is west of Y and Y is North of Z. M is south of X. Which direction is M to Z?
  1. ক
    ক) West
  2. খ
    খ) South
  3. গ
    গ) North
  4. ঘ
    ঘ) East
  5. ঙ
    ঙ) Southeast
ব্যাখ্যা
X is west of Y and Y is North of Z. M is south of X. Which direction is M to Z?

Solution:

M is West of Z.
৬০৩.
8, 6, 9, 23, 87, … what number should come next?
  1. ক
    110
  2. খ
    247
  3. গ
    332
  4. ঘ
    429
ব্যাখ্যা

Question:  8, 6, 9, 23, 87, … what number should come next?

Solution: 
(8 x 1) - 2 = 6
(6 x 2) - 3 = 9
(9 x 3) - 4 = 23
(23 x 4) - 5 = 87
(87 x 5) - 6 = 429 

৬০৪.
Butter : Milk : : Oil : ?
  1. ক
    ক) Cow
  2. খ
    খ) Seeds
  3. গ
    গ) Curd
  4. ঘ
    ঘ) Grains
ব্যাখ্যা
Butter is obtained from Milk and Oil is obtained from Seeds.
৬০৫.
What will come at the place of question mark?
3, 7, 23, 95, ?
  1. ক
    65
  2. খ
    479
  3. গ
    132
  4. ঘ
    575
ব্যাখ্যা

Question: What will come at the place of question mark?
3, 7, 23, 95, ?

Solution: 
1st number = 3
2nd number = 3 × 2 + 1 = 7
3rd number = 7 × 3 + 2 = 23
4th number = 23 × 4 + 3 = 95
5th number = 95 × 5 + 4 = 479

So the next number is 479.

৬০৬.
If an investment of m dollars is made today and the value of the investment doubles every 6 years, what will be the value of the investment, in dollars 24 years from today?
  1. ক
    m4
  2. খ
    2m2
  3. গ
    4m
  4. ঘ
    16m
  5. ঙ
    8m4
ব্যাখ্যা

Question: If an investment of m dollars is made today and the value of the investment doubles every 6 years, what will be the value of the investment, in dollars 24 years from today?

Solution:
Present investment = m

The investment doubles every 6 years.
∴ After 6 years, it will be 2m
∴ After (6 + 6) = 12 years, it will be (22)m = 4m
∴ After (6 + 6 + 6 + 6) = 24 years, it will be (24)m = 16m

৬০৭.
Today is Monday. After 45 days, it will be:
  1. ক
    Monday
  2. খ
    Wednesday
  3. গ
    Thursday
  4. ঘ
    Saturday
ব্যাখ্যা

Question: Today is Monday. After 45 days, it will be:

Solution:
Each day of the week is repeated after 7 days.

So, after 42 days, it will be Monday.

After 43 days, it will be Tuesday.
After 44 days, it will be Wednesday.
∴ After 45 days, it will be Thursday.

৬০৮.
The scale of a local map is 1cm to 5km. An area is represented on the map by a rectangle of dimensions 5cm × 9cm. The actual area in km2 is -
  1. ক
    1024
  2. খ
    1038
  3. গ
    1048
  4. ঘ
    1125
ব্যাখ্যা
Question: The scale of a local map is 1cm to 5km. An area is represented on the map by a rectangle of dimensions 5cm × 9cm. The actual area in km2 is -

Solution: 
The actual area = (5 × 5) × (9 × 5) km2  [1 cm = 5 km]
= 25 × 45 km2 
= 1125 km2
৬০৯.
What will come at the place of the question mark?
4, 7, 12, 19, 28, ?
  1. ক
    34
  2. খ
    39
  3. গ
    42
  4. ঘ
    45
ব্যাখ্যা

Question: What will come at the place of the question mark?
4, 7, 12, 19, 28, ?

Solution:
7 - 4 = 3
12 - 7 = 5
19 - 12 = 7
28 - 19 = 9
Differences increase by 2 each time,
So, next difference = 9 + 2 = 11.
Next term = 28 + 11 = 39

৬১০.
CMM, EOO, GQQ, _____, KUU
  1. ক
    ITT
  2. খ
    GSS
  3. গ
    GRR
  4. ঘ
    ISS
ব্যাখ্যা

Question: CMM, EOO, GQQ, _____, KUU

Solution:
প্রথম অক্ষর,
C → E → G → ? → K ; [+ 2 করে বাড়ছে]
C + 2 = E, E + 2 = G, G + 2 = I, I + 2 = K)
∴ ফাঁকা জায়গায় প্রথম অক্ষর = I

দ্বিতীয় অক্ষর,
M → O → Q → ? → U  ; [+ 2 করে বাড়ছে]
M + 2 = O, O + 2 = Q, Q + 2 = S, S + 2 = U
∴ ফাঁকা জায়গায় দ্বিতীয় অক্ষর = S

তৃতীয় অক্ষর, দ্বিতীয় অক্ষরের মত
∴ ফাঁকা জায়গায় তৃতীয় অক্ষর = S

সুতরাং ফাঁকা জায়গায় আসবে- ISS

৬১১.
A clock is set at 4 am. It loses 16 minutes in 24 hours. What will be the correct time when the clock indicates 9 pm on the 4th day?
  1. ক
    8 pm
  2. খ
    7 pm
  3. গ
    10 pm
  4. ঘ
    11 pm
ব্যাখ্যা
Question: A clock is set at 4 am. It loses 16 minutes in 24 hours. What will be the correct time when the clock indicates 9 pm on the 4th day?

Solution:
Time from 4 am on a day to 9pm on the 4 th day = 89 hours

As per the question, 23 hrs 44 minutes of this clock = 24 hours of the correct clock as this clock loses 16 minutes in 24 hours.

23 hrs 44 minutes = 23 + 44/60 = 23 + 11/15 = (345 + 11)/15 =  (356/15) hours 

Now,
 (356/15) Hours of this clock = 24 hours of correct clock
∴ 89 hours of this clock = (24 × 15 × 89)/356 = 90 hours of the correct clock, i.e. the correct clock gains one hour over the incorrect clock.

∴ The correct time on the fourth day would be 10 pm.
৬১২.
A student responded to all of the 22 questions on a test and received a score of 63.5. If the scores were derived by adding 3.5 points for each correct answer and deducting 1 point for each incorrect answer, how many questions did the student answer incorrectly?
  1. ক
    3
  2. খ
    4
  3. গ
    15
  4. ঘ
    18
  5. ঙ
    20
ব্যাখ্যা
Question: A student responded to all of the 22 questions on a test and received a score of 63.5. If the scores were derived by adding 3.5 points for each correct answer and deducting 1 point for each incorrect answer, how many questions did the student answer incorrectly?

Solution:
Let the number of correct answers be X
The number of incorrect answers will be 22 - X
For each correct answer the student got 3.5 points for a total of 3.5X
For each incorrect answer one point was taken out which is equivalent to - (22 - X)
The total he got for that was 63.5

So in short you have the following equation and solution.
3.5X - (22 - X) = 63.5
⇒ 3.5X - 22 + X = 63.5
⇒ 4.5X = 63.5 + 22
⇒ 4.5X = 85.5
⇒ 4.5X/4.5 = 85.5/4.5
∴ X = 19

So incorrect answers will be 22 - X = 22 - 19 = 3.
৬১৩.
If WORLD is written as 34526 and EARTH is written as 78519, then ALERT is written as-
  1. ক
    84526
  2. খ
    38519
  3. গ
    82751
  4. ঘ
    28517
ব্যাখ্যা
Question: If WORLD is written as 34526 and EARTH is written as 78519, then ALERT is written as-

Solution:
WORLD is written as 34526
W = 3
O = 4
R = 5
L = 2
D= 6

EARTH is written as 78519
E = 7
A = 8
R = 5
T = 1
H = 9

So, ALERT will be
A = 8
L = 2
E = 7
R = 5
T = 1

∴ ALERT will be = 82751
৬১৪.
A worker earns Tk. 350 on the first day and spends Tk. 300 on the second day, earns Tk. 350 on the third day and again spends Tk. 300 on the fourth day and so on. On which day would he have had Tk. 1000?
  1. ক
    21th day
  2. খ
    31th day
  3. গ
    27th day
  4. ঘ
    25th day
ব্যাখ্যা
Question: A worker earns Tk. 350 on the first day and spends Tk. 300 on the second day, earns Tk. 350 on the third day and again spends Tk. 300 on the fourth day and so on. On which day would he have had Tk. 1000?

Solution:
১ম দিনে আয় করে ৩৫০ টাকা।
২য় দিনে ব্যয় করে ৩০০ টাকা।

∴ ২ দিনে তার জমা থাকে (৩৫০ - ৩০০) = ৫০ টাকা।

এখন, (১০০০ - ৩৫০) = ৬৫০ টাকা।

৫০ টাকা জমা থাকে ২ দিনে
১ টাকা জমা থাকে ২/৫০ দিনে
৬৫০  টাকা জমা থাকে (২ × ৬৫০)/৫০ দিনে
= ২৬ দিন।

২৬ দিন পর তার হাতে থাকে ৬৫০ টাকা
এবং ২৭ তম দিনে সে আয় করে ৩৫০ টাকা।
তাহলে মোট টাকা হয় (৬৫০ + ৩৫০) = ১০০০ টাকা,

সুতরাং ২৭ দিনে তার কাছে ১০০০ টাকা ছিল।
৬১৫.
If ÷ means ×, × means +, + means - and - means +, find the value of 28 × 3 + 5 - 2 ÷ 4.
  1. ক
    31
  2. খ
    34
  3. গ
    37
  4. ঘ
    39
ব্যাখ্যা
Question: If ÷ means ×, × means +, + means - and - means +, find the value of 28 × 3 + 5 - 2 ÷ 4.

Solution:
16 × 3 + 5 - 2 ÷ 4
= 28 + 3 - 5 + 2 × 4
= 28 + 3 - 5 + 8
= 31 - 5 + 8
= 39 - 5
= 34
৬১৬.
In a code, "STONE" is written as 12345 and "FLAME" is written as 67895. How is "FLOAT" written in the same code?
  1. ক
    67328
  2. খ
    67382
  3. গ
    76832
  4. ঘ
    12345
  5. ঙ
    67823
ব্যাখ্যা

Question: In a code, "STONE" is written as 12345 and "FLAME" is written as 67895. How is "FLOAT" written in the same code?

Solution:
STONE is written as 12345
S = 1
T = 2
O = 3
N = 4
E = 5

FLAME is written as 67895
F = 6
L = 7
A = 8
M = 9
E = 5

So, FLOAT will be 
F = 6
L = 7
O = 3
A = 8
T = 2

∴ FLOAT = 67382

৬১৭.
Find out the wrong term: 8, 14, 26, 48, 98, 194, 386 
  1. ক
    98
  2. খ
    14
  3. গ
    48
  4. ঘ
    194
ব্যাখ্যা

Question: Find out the wrong term: 8, 14, 26, 48, 98, 194, 386 

Solution:
Each term = (previous term × 2) - 2
Let’s check term by term.
1st term = 8
2nd = 8 × 2 - 2 = 16 - 2 = 14
3rd = 14 × 2 - 2 = 28 - 2 = 26
4th = 26 × 2 - 2 = 52 - 2 = 50 ; but the given term is 48 (wrong here)
5th = 50 × 2 - 2 = 100 - 2 = 98
6th = 98 × 2 - 2 = 196 - 2 = 194
7th = 194 × 2 - 2 = 388 - 2 = 386

The first mistake occurs at the 4th term. 26 should become 50, but it is written as 48.
So 48 is the wrong term. It should be replaced by 50.
Correct series should be 8, 14, 26, 50, 98, 194, 386

৬১৮.
If '+' means '-', '-' means '×', '×' means '÷', and '÷' means '+', then what is the value of: 16 - 4 × 2 + 6 ÷ 3?
  1. ক
    46
  2. খ
    39
  3. গ
    29
  4. ঘ
    25
ব্যাখ্যা
Question: If '+' means '-', '-' means '×', '×' means '÷', and '÷' means '+', then what is the value of: 16 - 4 × 2 + 6 ÷ 3?

Solution:
Given,
'+' means '-', '-' means '×', '×' means '÷', and '÷' means '+'

Now,
16 - 4 × 2 + 6 ÷ 3

∴ the transformed expression will be: 16 × 4 ÷ 2 - 6 + 3
= 16 × 2 - 6 + 3
= 32 - 6 + 3
= 35 - 6
= 29
৬১৯.
It was Sunday on Jan 1, 2006. What was the day of the week Jan 1, 2010?
  1. ক
    Monday
  2. খ
    Friday
  3. গ
    Sunday
  4. ঘ
    Tuesday
ব্যাখ্যা
Question: It was Sunday on Jan 1, 2006. What was the day of the week Jan 1, 2010?

Solution:
On 31st December, 2005 it was Saturday. 
Number of odd days from 2006 to 2009 = (1 + 1 + 2 + 1) = 5 days. 
On 31st December 2009, it was Thursday.
Thus, on 1st Jan, 2010 it is Friday
৬২০.
Pointing to a man in a photograph, Mitu said, "His brother's father is the only son of my grandfather." 
How is Mitu related to the man in the photograph?
  1. ক
    Mother
  2. খ
    Aunt
  3. গ
    Sister
  4. ঘ
    Grandmother
ব্যাখ্যা

Question: Pointing to a man in a photograph, Mitu said, "His brother's father is the only son of my grandfather." 
How is Mitu related to the man in the photograph?

Solution:
মিতু বলল: "His brother's father is the only son of my grandfather."

"His brother's father" = ছবির লোকটির বাবা
ছবির লোকটির বাবা = মিতুর দাদার একমাত্র ছেলে
ছবির লোকটির বাবা = মিতুর বাবা

অর্থাৎ মিতু এবং ছবির লোকটি ভাই-বোন।
মিতু মেয়ে হওয়ায় সে ছবির লোকটির বোন।

৬২১.
The angle of elevation of the sun, when the length of the shadow of a tree √3 times the height of the tree, is:
  1. ক
    30°
  2. খ
    45°
  3. গ
    60°
  4. ঘ
    90°
ব্যাখ্যা
Question: The angle of elevation of the sun, when the length of the shadow of a tree √3 times the height of the tree, is:

Solution:

Let,
Height of the tree BC = x
Length of the shadow AB = √3x
The angle of elevation of the sun ∠C = θ

Now,
tanθ = BC/AB 
⇒ tanθ = x/(√3x)
⇒ tanθ = 1/√3
⇒ tanθ = tan30°
∴ θ = 30°
৬২২.
A series is given with one term missing. Select the correct alternative from the given ones that will complete the series.
DEW, ZAS, VWO, RSK, ?
  1. ক
    MPH
  2. খ
    NOG
  3. গ
    LME
  4. ঘ
    PQI
ব্যাখ্যা
Question: A series is given with one term missing. Select the correct alternative from the given ones that will complete the series.
DEW, ZAS, VWO, RSK, ?

Solution:

D, E, W ⇔ 4, 5, 23 ⇔ 4 - 4, 5 - 4, 23 - 4 ⇔ 0 [0 + 26 = 26], 1, 19 ⇔ Z, A, S [এখানে সংখ্যাগুলো দ্বারা বর্ণগুলোর অবস্থান বুঝানো হয়েছে]
Z, A, S ⇔ 26, 1, 19 ⇔ 26 - 4, 1 - 4, 19 - 4 ⇔ 22, - 3 [- 3 + 26 = 23], 15 ⇔ V, W, O
V, W, O ⇔ 22, 23, 15 ⇔ 22 - 4, 23 - 4, 15 - 4 ⇔ 18, 19, 11 ⇔ R, S, K
R, S, K ⇔ 18, 19, 11 ⇔ 18 - 4, 19 - 4, 11 - 4 ⇔ 14, 15, 7 ⇔ N, O, G

∴ ? এর স্থানে NOG হবে।
৬২৩.
A man starts climbing a 15m high wall at 8 am. In each minute, he climbs up 3m but slips down 1m. At what time will he climb the wall?
  1. ক
    8 : 05 am
  2. খ
    8 : 07 am
  3. গ
    8 : 09 am
  4. ঘ
    8 : 10 am
ব্যাখ্যা

Question: A man starts climbing a 15m high wall at 8 am. In each minute, he climbs up 3m but slips down 1m. At what time will he climb the wall?

Solution:
দেওয়া আছে, দেয়ালের মোট উচ্চতা = 15 মিটার।

লোকটি প্রতি মিনিটে উপরে ওঠে = 3 মিটার।
লোকটি প্রতি মিনিটে নিচে নেমে যায় = 1 মিটার।

∴ প্রতি মিনিটে তার নিট বা প্রকৃত আরোহণ = 3 মিটার - 1 মিটার
= 2 মিটার।

এখানে, শেষ মিনিটে লোকটি উপরে উঠে যাবে এবং আর পিছলে নামবে না।
তাই, শেষ 3 মিটার বাদ দিয়ে হিসাব করতে হবে।

যে উচ্চতা পর্যন্ত তাকে পিছলে নামতে হবে = 15 - 3 = 12 মিটার।

2 মিটার উঠতে সময় লাগে = 1 মিনিট।
∴12 মিটার উঠতে সময় লাগে = 12/2 মিনিট
= 6 মিনিট।

সর্বশেষ 3 মিটার সে পরের মিনিটে উঠে যাবে এবং দেয়ালের শীর্ষে পৌঁছাবে।
সুতরাং, মোট সময় লাগবে = 6 মিনিট + 1 মিনিট = 7 মিনিট।

যেহেতু লোকটি সকাল 8টায় আরোহণ শুরু করেছিল, তাই সে সকাল 8টা 7 মিনিটে দেয়ালে পৌঁছাবে।

৬২৪.
Four boys are sitting on a bench. Rasel is to the left of Tofail. Rakib is to the left of Hasib. Rakib is between Hasib and Tofail. Who would be second from the left on the bench?
  1. ক
    ক) Rasel
  2. খ
    খ) Tofail
  3. গ
    গ) Rakib
  4. ঘ
    ঘ) Hasib
ব্যাখ্যা
Question: Four boys are sitting on a bench. Rasel is to the left of Tofail. Rakib is to the left of Hasib. Rakib is between Hasib and Tofail. Who would be second from the left on the bench?

Solution:
Rasel is to the left of Tofail.
Rasel ⇔ Tofail

Rakib is to the left of Hasib.
Rakib ⇔ Hasib

Rakib is between Hasib and Tofail.
Tofail ⇔ Rakib ⇔ Hasib

∴ Rasel ⇔ Tofail ⇔ Rakib ⇔ Hasib.

Tofail would be second from the left on the bench.
৬২৫.
P is shorter than N. R is shorter than P. S is taller than R. F is taller than N. N is taller than S. Who is the tallest man?
  1. ক
    N
  2. খ
    S
  3. গ
    F
  4. ঘ
    R
ব্যাখ্যা
Question: P is shorter than N. R is shorter than P. S is taller than R. F is taller than N. N is taller than S. Who is the tallest man?

Solution:
P is shorter than N ⇒ N > P
R is shorter than P ⇒ P > R
S is taller than R ⇒ S > R
F is taller than N ⇒ F > N
N is taller than S ⇒ N > S

Here,
P > R and S > R
Both P & S are taller than R.

N > P and N > S
N is taller than both P & S.

F > N
F is taller than N.
So, F is the tallest man.
৬২৬.
Find the next number in the series: 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, ? 
  1. ক
    78
  2. খ
    55
  3. গ
    61
  4. ঘ
    89
ব্যাখ্যা

Question: Find the next number in the series: 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, ?

Solution:
এই সিরিজটি হলো ফিবোনাচ্চি সিরিজ (Fibonacci sequence)। 
প্রতিটি সংখ্যা আগের দুটি সংখ্যার যোগফল।
0 + 1 = 1, 1 + 1 = 2, 1 + 2 = 3, 2 + 3 = 5, 3 + 5 = 8
5 + 8 = 13, 8 + 13 = 21, 13 + 21 = 34, 21 + 34 = 55

সুতরাং পরের সংখ্যা হবে 55।

∴ সিরিজটি হলো- 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, ...

৬২৭.
A party consists of a grandmother, father, mother, four sons and their wives, and one son and two daughters of each of the sons. How many females are there in all?
  1. ক
    12
  2. খ
    13
  3. গ
    14
  4. ঘ
    16
ব্যাখ্যা

Question: A party consists of a grandmother, father, mother, four sons and their wives, and one son and two daughters of each of the sons. How many females are there in all?

Solution: 
Grandmother: 1 female
Mother: 1 female
Four sons' wives: 4 females
Two daughters for each of the four sons: 4 × 2 daughters = 8 females

1 (Grandmother) + 1 (Mother) + 4 (Wives) + 8 (Daughters) = 14 females
So, there are a total of 14 females in the party.

৬২৮.
Which number will complete the series: 1, 3, 7, 15, 31, 63, __?
  1. ক
    120
  2. খ
    125
  3. গ
    127
  4. ঘ
    132
ব্যাখ্যা
Question: Which number will complete the series: 1, 3, 7, 15, 31, 63, __?

Solution:
3 - 1 = 2
7 - 3 = 4 = 2 × 2
15 - 7 = 8 = 4 × 2
31 - 15 = 16 = 8 × 2
63 - 31 = 32 = 16 × 2

∴ The next number of 63 will be 63 + 32 × 2
= 63 + 64
= 127
৬২৯.
If today is Monday. After 57 days, it would be:
  1. ক
    Sunday
  2. খ
    Monday
  3. গ
    Tuesday
  4. ঘ
    Wednesday
ব্যাখ্যা
Question: If today is Monday. After 57 days, it would be:

Solution:
57/7 = 8 ( Remainder = 1)

It is well known that each day of the week is repeated after 7 days.
So we can say that after multiples of 7 days, the day will repeat itself as monday.
Hence after 56 days Monday will occur again.

So we calculate after after 57 days = Monday + 1day = Tuesday.
৬৩০.
What will come at the place of question mark?
4, 7, 12, 19, 28, ?
  1. ক
    40
  2. খ
    30
  3. গ
    38
  4. ঘ
    49
  5. ঙ
    39
ব্যাখ্যা

Question: What will come at the place of question mark?
4, 7, 12, 19, 28, ?

Solution:
7 - 4 = 3
12 - 7 =5
19 - 12 = 7
28 - 19 = 9

Difference increases by 2 each time.

So, next difference is = 9 + 2 = 11

∴ Next term = 28 + 11 = 39

৬৩১.
Peace : Chaos :: Creation : ?
  1. ক
    ক) Build
  2. খ
    খ) Construction
  3. গ
    গ) Destruction
  4. ঘ
    ঘ) Manufacture
ব্যাখ্যা
As opposite meaning of peace is chaos similarly opposite meaning of creation is destruction.
৬৩২.
Six bells commence tolling together and toll at intervals of 2, 4, 6, 8 10 and 12 seconds respectively. In 30 minutes, how many times do they toll together?
  1. ক
    4
  2. খ
    10
  3. গ
    15
  4. ঘ
    16
ব্যাখ্যা
Question: Six bells commence tolling together and toll at intervals of 2, 4, 6, 8 10 and 12 seconds respectively. In 30 minutes, how many times do they toll together?

Solution:
L.C.M. of 2, 4, 6, 8, 10, 12 is 120.
So, the bells will toll together after every 120 seconds = 2 minutes

∴ In 30 minutes, they will toll together 30/2 + 1 = 15 + 1 = 16 times.
৬৩৩.
If POP multiplied RR equals to RRRR and if R = 7. Then what is the value of O?
  1. ক
    7
  2. খ
    6
  3. গ
    0
  4. ঘ
    3
  5. ঙ
    None
ব্যাখ্যা
Question: If POP multiplied RR equals to RRRR and if R = 7. Then what is the value of O?

Solution:
Given,
R = 7
∴ RR = 77
∴ RRRR = 7777

ATQ,
POP × RR = RRRR
⇒ POP × 77 = 7777
⇒ POP = 7777 ÷ 77
∴ POP = 101

So, P = 1, O = 0, P = 1
৬৩৪.
The number of two digit prime numbers which remain prime even inverting the position of its digits is:
  1. ক
    4
  2. খ
    9
  3. গ
    7
  4. ঘ
    8
  5. ঙ
    5
ব্যাখ্যা
Question: The number of two digit prime numbers which remain prime even inverting the position of its digits is:

Solution:
These numbers are 11, 13, 31, 17, 71, 37, 73, 79, 97.

∴ There are 9 such number.
৬৩৫.
What will be the number in the question mark?
3, 7, 14, 24, 37, ? 
  1. ক
    43
  2. খ
    53
  3. গ
    33
  4. ঘ
    23
ব্যাখ্যা

Question: What will be the number in the question mark?
3, 7, 14, 24, 37, ?

Solution:
প্রদত্ত ধারাটি হলো: 3, 7, 14, 24, 37, ?

ধারার সংখ্যাগুলোর মধ্যে পার্থক্য নির্ণয় করি:
7 - 3 = 4
14 - 7 = 7
24 - 14 = 10
37 - 24 = 13

এখানে, প্রতিবার পার্থক্য 3 করে বৃদ্ধি পাচ্ছে।
∴ পরবর্তী পার্থক্য হবে = 13 + 3 = 16
∴ পরবর্তী সংখ্যাটি হবে = 37 + 16 = 53

৬৩৬.
What is the angle between the hour and minute hands of a clock at 14 : 50?
  1. ক
    135°
  2. খ
    140°
  3. গ
    145°
  4. ঘ
    150°
ব্যাখ্যা

Question: What is the angle between the hour and minute hands of a clock at 14 : 50?

Solution: 
At 14 : 50, the clock is in the second hour of the afternoon. We use the 12-hour format for calculation.
Then we get, 14 : 50 = 2 : 50

We know, 
Angle = |11M - 60H|/2 = |(11 × 50) - (60 × 2)|/2
= |550 - 120|/2
= 430/2
= 215°

∴ The smaller angle between hands = 360° - 215° = 145°

So the angle between the hour and minute hands at 14 : 50 is 145°.

৬৩৭.
Dog : Bark :: Goat : ?
  1. ক
    Bray
  2. খ
    Grunt
  3. গ
    Howl
  4. ঘ
    Bleat
ব্যাখ্যা
Question: Dog : Bark :: Goat : ?

Solution: 
The relationship between "Dog" and "Bark" is that a dog typically produces the sound "bark." In a similar manner, a sound often associated with a goat is "bleat." So, the analogy would be:

Goat : Bleat

Also,
Bray is a sound commonly associated with Donkey
"Grunt" is a sound commonly associated with pigs
"Howl" is a sound typically associated with wolves
৬৩৮.
What is the missing number?
  1. ক
    154
  2. খ
    160
  3. গ
    180
  4. ঘ
    196
ব্যাখ্যা
Question: What is the missing number?

Solution: 
n the first column, (9 × 5) - 7 =38.
In the second column, (11 × 9) - 22=77.
So, missing number= (11 × 15) - 5 = 160.
So, the answer is 160
৬৩৯.
If DOUBLE = 59, Then SINGLE =? 
  1. ক
    61
  2. খ
    62
  3. গ
    64
  4. ঘ
    66
ব্যাখ্যা
Question: If DOUBLE = 59, Then SINGLE =? 

Solution:

D + O + U + B + L + E
4 + 15 + 21 + 2 + 12 + 5
= 59

Now,
S + I + N + G + L + E 
19 + 9 + 14 + 7 + 12 + 5
= 66
৬৪০.
Which number will complete the series: 127, 63, 31, 15, __?
  1. ক
    6
  2. খ
    9
  3. গ
    7
  4. ঘ
    5
ব্যাখ্যা
Question: Which number will complete the series: 127, 63, 31, 15, __?

Solution:
(127 - 1)/2 = 126/2 = 63
(63 - 1)/2 = 62/2 = 31
(31 - 1)/2 = 30/2 = 15
(15 - 1)/2 = 14/2 = 7
৬৪১.
What number will replace the '?' mark?
2, 4, 12, 48, 240, ?, 10080
  1. ক
    1080
  2. খ
    1440
  3. গ
    960
  4. ঘ
    1920
ব্যাখ্যা
Question: What number will replace the '?' mark?
2, 4, 12, 48, 240, ?, 10080

Solution:
২য়, ৩য়, ৪র্থ, ৫ম, ৬ষ্ঠ সংখ্যাকে যথাক্রমে 2, 3, 4, 5, 6, 7 দ্বারা ক্রমান্বয়ে গুণ করা হয়েছে।
2 × 2 = 4
4 × 3 = 12
12 × 4 = 48
48 × 5 = 240
240 × 6 = 1440
1440 × 7 = 10080
৬৪২.
If HOUSE = 81521195 and TREE = 201855, then GARDEN will be equal to-
  1. ক
    71518414
  2. খ
    7184514
  3. গ
    71845141
  4. ঘ
    71184514
ব্যাখ্যা
Question: If HOUSE = 81521195 and TREE = 201855, then GARDEN will be equal to-

Solution:

According to the English alphabet,
HOUSE = 8 15 21 19 5
And,
TREE = 20 18 5 5

Now,
GARDEN = 7 1 18 4 5 14
So the code is- 71184514

∴ GARDEN = 71184514
৬৪৩.
Which of the following comes first in dictionary order?
  1. ক
    Transform
  2. খ
    Transfix
  3. গ
    Transit
  4. ঘ
    Transfuse
ব্যাখ্যা

Question: Which of the following comes first in dictionary order?

Solution:
প্রদত্ত চারটি শব্দের মধ্যে , Transfix, Transform এবং Transfuse -এর প্রথম ছয়টি অক্ষর "Transf" একই।
অন্যদিকে, Transit শব্দের প্রথম  ছয়টি অক্ষর "Transi"।

ডিকশনারি ক্রম অনুযায়ী, 'f' অক্ষরটি 'i' অক্ষরের আগে আসে। সুতরাং, Transfix, Transform এবং Transfuse এই তিনটি শব্দের মধ্যে প্রথম শব্দটি পাওয়া যাবে। Transit শব্দটি সবার শেষে আসবে।

এখন, Transfix, Transform এবং Transfuse এর মধ্যে তুলনা করি। এই শব্দ তিনটির প্রথম ছয়টি অক্ষর "Transf" একই।
সপ্তম অক্ষরগুলো হলো: 'i' (Transfix), 'o' (Transform), 'u' (Transfuse) ।

ডিকশনারি ক্রম অনুযায়ী, 'i', 'o' এবং 'u' এর মধ্যে 'i' প্রথমে আসে।
সুতরাং, Transfix শব্দটি বাকি সব শব্দের আগে আসবে।

অতএব, প্রদত্ত শব্দগুলোর মধ্যে Transfix প্রথমে আসবে।

৬৪৪.
A clock seen through a mirror, shows 8 : 45. What is the correct time shown by the clock?
  1. ক
    8 : 45
  2. খ
    4 : 45
  3. গ
    2 : 45
  4. ঘ
    3 : 15
ব্যাখ্যা
Question: A clock seen through a mirror, shows 8 : 45. What is the correct time shown by the clock?

Solution: 
প্রকৃত সময় = 11 : 60 - আয়নার দেখা সময়
= 11 : 60 - 8 : 45
 =  3 : 15
৬৪৫.
A mango kept in a basket doubles in every one minute. If the basket gets completely filled in 30 minutes, then in how many minutes will half of the basket be filled?
  1. ক
    15
  2. খ
    25
  3. গ
    27
  4. ঘ
    29
ব্যাখ্যা
Question: A mango kept in a basket doubles in every one minute. If the basket gets completely filled in 30 minutes, then in how many minutes will half of the basket be filled?

Solution:
প্রতি মিনিটে আমের সংখ্যা দ্বিগুণ হচ্ছে।
অর্থাৎ, শেষ মুহূর্তে যে সংখ্যক আম ছিল, তার অর্ধেক ছিল আগের মিনিটে।
যদি ৩০ মিনিটে ঝুড়িটি সম্পূর্ণ পূর্ণ হয়, তবে তার এক মিনিট আগেই, অর্থাৎ ২৯ মিনিটে, ঝুড়িটি ছিল অর্ধেক পূর্ণ।
৬৪৬.
In a certain code, MONKEY is written as XDJMNL. How is 'TIGER' written as?
  1. ক
    SDFHS
  2. খ
    QDFHS
  3. গ
    SHFDQ
  4. ঘ
    UJHFS
ব্যাখ্যা

Question: In a certain code MONKEY is written as XDJMNL. How is 'TIGER' written as?

Solution: 
এখানে, শব্দটিকে প্রথমে উল্টানো হয়, তারপর উল্টানো শব্দের অক্ষরগুলোর আগের অক্ষরটি নেয়া হয়। 
MONKEY কে উল্টিয়ে পাওয়া যায় YEKNOM
YEKNOM শব্দের অক্ষরগুলোর আগের অক্ষরটি নেয়া হলে XDJMNL

অনুরূপভাবে, 
TIGER কে উল্টিয়ে পাওয়া যায় REGIT
REGIT শব্দের অক্ষরগুলোর আগের অক্ষরটি নেয়া হলে QDFHS
 

৬৪৭.
Five friends are standing in a line for a photo. Alice is to Bob's immediate right. Charlie is between David and Eve. Bob is to the left of David. Who is in the middle of the line?
  1. ক
    Charlie
  2. খ
    David
  3. গ
    Alice
  4. ঘ
    Eve
ব্যাখ্যা
Question: Five friends are standing in a line for a photo. Alice is to Bob's immediate right. Charlie is between David and Eve. Bob is to the left of David. Who is in the middle of the line?

Solution:
Alice is to Bob's immediate right: Bob ⇔ Alice
Charlie is between David and Eve: David ⇔ Charlie ⇔ Eve
Bob is to the left of David: Bob ⇔ David

Combining these pieces of information:
Bob ⇔ Alice ⇔ David ⇔ Charlie ⇔ Eve

The person standing in the middle of the line is David.
৬৪৮.
What is the reciprocal of the sum of the reciprocals of 7 and 6?
  1. ক
    1/13
  2. খ
    42/13
  3. গ
    13/42
  4. ঘ
    1/26
ব্যাখ্যা
Question: What is the reciprocal of the sum of the reciprocals of 7 and 6?

Solution:
Let,
a = 7, b = 6, and sum = s
s = (1/a) + (1/b)
= (1/7) + (1/6)
= (6 + 7)/42
= 13/42

∴ The reciprocal of the sum = 1/(13/42)
= 42/13
৬৪৯.
An observer 1.6 m tall is 20√3 m away from a tower. The angle of elevation from his eye to the top of the tower is 30°. The height of the tower is:
  1. ক
    21.6 m
  2. খ
    23.2 m
  3. গ
    24.72 m
  4. ঘ
    20 m
ব্যাখ্যা
Question: An observer 1.6 m tall is 20√3 m away from a tower. The angle of elevation from his eye to the top of the tower is 30°. The height of the tower is:

Solution:

Here, 
Height of the observer AB = 1.6 m 
Distance  between observer and tower AC = 20√3 m
∴ CE = AB = 1.6 m 
Height of the tower is CD = CE + DE.

From ΔBDE we get,
BE = AC = 20√3 m

Now,
tan30° = DE/BE 
⇒ 1/√3 = DE/(20√3)
⇒ DE = (20√3)/√3 
∴ DE = 20 

∴ The height of the tower is = CE + DE = 1.6 + 20 m = 21.6 m 
৬৫০.
If A is to the south of B and C is to east of B, in what direction is A with respect to C?
  1. ক
    ক) north-east
  2. খ
    খ) north-west
  3. গ
    গ) south-east
  4. ঘ
    ঘ) south-west
ব্যাখ্যা
Question: If A is to the south of B and C is to east of B, in what direction is A with respect to C?

Solution:
৬৫১.
In a certain code MONKEY is written as XDJMNL. How is 'TIGER' written as?
  1. ক
    QCFHS
  2. খ
    JDFHS
  3. গ
    QDFHS
  4. ঘ
    QDFIS
ব্যাখ্যা
Question: In a certain code MONKEY is written as XDJMNL. How is 'TIGER' written as?

Solution: 
এখানে, শব্দটিকে প্রথমে উল্টানো হয়, তারপর উল্টানো শব্দের অক্ষরগুলোর আগের অক্ষরটি নেয়া হয়। 
MONKEY কে উল্টিয়ে পাওয়া যায় YEKNOM
YEKNOM শব্দের অক্ষরগুলোর আগের অক্ষরটি নেয়া হলে XDJMNL

অনুরূপভাবে, 
TIGER কে উল্টিয়ে পাওয়া যায় REGIT
REGIT শব্দের অক্ষরগুলোর আগের অক্ষরটি নেয়া হলে QDFHS
৬৫২.
Anika is taller than Bristi but shorter than Kabir. Rafi is shorter than Bristi. Shawon is taller than Anika but shorter than Kabir. Who is the smallest among them? 
  1. ক
    Kabir
  2. খ
    Anika
  3. গ
    Bristi
  4. ঘ
    Shawon
  5. ঙ
    Rafi
ব্যাখ্যা

Question: Anika is taller than Bristi but shorter than Kabir. Rafi is shorter than Bristi. Shawon is taller than Anika but shorter than Kabir. Who is the smallest among them?

Solution: 
From the given statements,
Anika > Bristi
Kabir > Anika
∴ Kabir > Anika > Bristi

Rafi < Bristi
∴ Bristi > Rafi

And
Shawon > Anika
Kabir > Shawon
∴ Kabir > Shawon > Anika

Full order from tallest to smallest,
Kabir > Shawon > Anika > Bristi > Rafi

Therefore, Rafi is the smallest among them.

৬৫৩.
P is a girl and has the same number of brothers as sisters. Q is a boy and has thrice as many sisters as brothers. P and Q are the children of R. How many children does R have?
  1. ক
    3
  2. খ
    5
  3. গ
    2
  4. ঘ
    7
ব্যাখ্যা

Question: P is a girl and has the same number of brothers as sisters. Q is a boy and has thrice as many sisters as brothers. P and Q are the children of R. How many children does R have?

Solution: Let d and s represent the number of daughters and sons respectively.
Then, we have
d - 1 = s
⇒ d = s + 1
and
3(s - 1) = d
⇒ 3s - 3 = s + 1
⇒ 3s - s = 1 + 3
⇒ 2s = 4
⇒ s = 2

∴ d = 2 + 1 = 3 

∴ Total children = 2 + 3 = 5 

৬৫৪.
It was Friday on January 1, 2016. What was the day of the week on January 1, 2017?
  1. ক
    Saturday
  2. খ
    Monday
  3. গ
    Thursday
  4. ঘ
    Sunday
ব্যাখ্যা

Question: It was Friday on January 1, 2016. What was the day of the week on January 1, 2017?

Solution: 
The year 2016 is a leap year. So, it has 2 odd days.
Given,
1st day of the year 2016 is Friday
So, 1st day of the year 2017 is 2 days beyond Friday.
Friday + 1 day = Saturday
Saturday + 1 day = Sunday
Hence, it will be Sunday.

৬৫৫.
A clock seen through a mirror reads a quarter to nine. What is the actual time?
  1. ক
    4 : 15
  2. খ
    3 : 15
  3. গ
    3 : 45
  4. ঘ
    4 : 45
ব্যাখ্যা
Question: A clock seen through a mirror reads a quarter to nine. What is the actual time?

Solution:
The quarter to nine = 8 : 45

So the actual time = (11 : 60 - 8 : 45)
= 3 : 15
৬৫৬.
A number for each figures are given from 1 to 9. Find out the best method of classification and identify this amongst the four alternatives.
  1. ক
    ক) (1, 3, 5); (2, 6, 9); (4, 7, 8)
  2. খ
    খ) (2, 3, 4): (5, 6, 8); (9, 1, 7)
  3. গ
    গ) (1, 3, 5); (2, 6, 8); (4, 7, 9)
  4. ঘ
    ঘ) (3, 2, 4); (6, 5, 8); (7, 9, 1)
ব্যাখ্যা
A number for each figure is given from 1 to 9. Find out the best method of classification and identify this amongst the four alternatives.


Solution: 
১, ৩, ৫ চিত্রে বৃত্ত বা অর্ধবৃত্ত আছে।
২, ৬, ৮ চিত্রগুলো ত্রিভুজ আকৃতির।
৪, ৭, ৯ চিত্রগুলো চতুর্ভুজ আকৃতির।
৬৫৭.
REF, SGH, TIJ, ____, VMN
  1. ক
    UKL
  2. খ
    ZKL
  3. গ
    QNO
  4. ঘ
    YEF
ব্যাখ্যা
Question: REF, SGH, TIJ, ____, VMN.

Solution:
There are two alphabetical series here.
The first series is with the first letters only: R, S, T, U, V.
The second series involves the remaining letters: , EF, GH, IJ, KL, MN.

∴ Answer will be = UKL