2986 . The length of two smaller sides of a right angled triangle are 5 cm and 12 cm respectively. The length of the thirs side is-

A. 15 cm
B. 17 cm
C. 19 cm
D. 13 cm

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Answer: Option D

Explanation:

In a right-angled triangle, you can use the Pythagorean theorem to find the length of the third side if you know the lengths of the other two sides. The Pythagorean theorem states:

c² = a² + b²

Where:

c is the length of the hypotenuse (the third side).
a and b are the lengths of the other two sides.
In this case, a = 5 cm and b = 12 cm. We want to find c:

c² = 5² + 12² c² = 25 + 144 c² = 169

Now, take the square root of both sides to find c:

c = √169 c = 13 cm

So, the length of the third side (the hypotenuse) is 13 cm.

সমন্বিত ৫ ব্যাংক || অফিসার (ক্যাশ) (11-03-2022)

A. 6d+1
B. 60d
C. 90
D. 180
E. None of these

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Answer: Option D

Explanation:

Ratio of speed = 3:4 Ratio of time = 4:3 let

A takes 4x hrs,B takes 3x hrs

then 4x - 3x = 30/60 hr

x = ½ hr

Time taken by A to reach the destination is 4x = 4 * ½ = 2 hr

2988 . The lengths of two sides of a triangle are 7 and 11. If the length of the third side is an integer, what is the least possible perimeter of the triangle?

A. 23
B. 18
C. 20
D. 22

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Answer: Option A

Explanation:

এখানে, ত্রিভুজটির তৃতীয় বাহু হবে দুটি বাহুর যোগফল অর্থাৎ 7 + 11 = 18 থেকে ছোট এমন যেকোনো সংখ্যা। আবার সংখ্যাটি এমন হবে যেন ত্রিভুজের যেকোনো বাহুর যোগফল তৃতীয় বাহু অপেক্ষা বৃহত্তর হয়।
যেমন, তৃতীয় বাহু 4 হতে পারে না।
কারণ 7 + 4 = 11 হয়, যা অন্য বাহুর সমান।
সুতরাং তৃতীয় বাহু সর্বনিম্ন 5 হতে পারে, কারণ 7 + 5>11
⸫ ত্রিভুজটির সর্বনিম্ন পরিসীমা = 7 + 5 + 11 = 23.

সমন্বিত ১০ ব্যাংক ও আর্থিক প্রতিষ্ঠান || অফিসার (জেনারেল) (08-03-2024)

A. 5
B. 6
C. 15
D. 30

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Answer: Option D

Explanation:

Hints : 1470 কে গ, সা, গু করলে হয়

1470 = 2× 5× 3× 7× 7

So, the least number is = 2× 5× 3 = 30

পল্লী কর্ম সহায়ক ফাউন্ডেশনের অ্যাসিসট্যান্ট ম্যানেজার-০৭.০৩.২০১৪

A. There were fewer executive than travel consultants at nationwide Travel Last year.
B. No travel consultants earned more than an executive last year.
C. There was at least one employee who earned less than the average for a travel consultant.
D. Some travel consultants earn more than the lowest paid executives.

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Answer: Option C

Explanation:

(a) ও b হবে না কারণ executive ও consultant - দের সংখ্যা কত বলা হয়নি। তাই consultant - এর চেয়ে executive কম না বেশি বা executive - দের চেয়ে কোন consultant বেশি income করেছে কিনা বলা যায় না।

(d) ব্যাখ্যাঃ হতেও পারে নাও পারে। Consultant - দের সংখ্যা জানা না থাকায় consultant যে lowest paid executive - এর চেয়ে বেশি বেতন পায় না তা জানা যায় না। কারণ সব consultant - এর বেতনই হয়তো 470,000 আবার সব executive - এর বেতনই হয়তো 550,000। ফলে assumption - টি নিশ্চিত করা যায় না। (c) - ই সঠিক হবে। কারণ Executive ও consultant সবার বার্ষিক আয়ের Average = 550,000 + 470,000/2 = 510,000। অথচ পুরো কোম্পানির employee - দের বার্ষিক আয়ের Average বলা হয়েছে 380,000। এখান থেকে বোঝা যায় কমপক্ষে 1 জন employee আছে যার বেতন consultant দের average salary থেকে কম। যার ফলে সবার Average বেতন কমে গেছে।

2991 . The Lions Club has a target of raising at least Tk 500 thousand. It has already raised Tk 100 thousand. The club is sponsoring a 'Pitha' festival and Tk 5000 per ticket. Which equation represents the number of tickets (t) that the club must sell to meet its target?

A. 5t=500
B. 5t=100
C. 5t+100=500
D. (5+100)t=500
E. None of these

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Answer: Option C

Explanation:

5t + 100 = 500

5 thousand × number of tickets + 100 thousand = 500 thousand

2992 . The marked price of a radio is Tk.480. The shopkeeper allows a discount of 10% and gains 8%. If no discount is allowed he gain percent would be--

A. 18.5%
B. 20.5%
C. 18%
D. 20%

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Answer: Option D

Explanation:

2993 . The market value of a 10.5% stock, in which an income of Tk. 756 is devided by investing Tk. 900, brokerage being 1/4% is:

A. Tk. 108.25
B. Tk. 112.20
C. Tk. 124.75
D. Tk. 125.25

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Answer: Option C

Explanation:

2994 . The maximum recommended pulse rate R, when exercising .for a person who is x years of age is given by the equation R = 176 - 0.8 x . what is the age, in years , of a person whose maximum recommended pulse rate when exercising is 140?

A. 40
B. 45
C. 50
D. 55

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Answer: Option B

Explanation:

প্রশ্নে বলা হচ্ছে যে, x বছর বয়সের একজন লোক যখন Exercise করে তখন তার Pulse এর সমীকরণ হলো R = 176 - 0.8x, যেখানে R সর্বোচ্চ Pulse rate নির্দেশ করে ।
একজন ব্যক্তির Exercising এর সময় Pulse rate 140 হলে তার বয়স কত ?
দেয়া আছে, Maximum pulse rate R = 140 এবং x = বয়স ।
অতএব, R = 176 - 0.8x = > 140 = 176 - 0.8x = > 0.8x = 176 - 140 = 36 x = 36/0.8 = 45

2995 . The mean of the data set of 1000 items is 5. From each item 3 is subtracted and then each number is multiplied by 2. The new mean will be-

A. 4
B. 5
C. 6
D. 7

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Answer: Option A

Explanation:

The answer is =(5 - 3) × 2=4

বাংলাদেশ ব্যাংক অফিসার ০২ -১২-২০২২

A. 100 π sq. ft
B. 100 sq. ft
C. 192 sq. ft
D. 128 π sq. ft

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Answer: Option A

Explanation:

Diameter of rectangle= √12^2+16^2 =√400 =20

So, diameter of circule =20 ft.

r=20/2=10 ft.

Now, area of circle =π* r^2= π*10^2= 100π sq.ft

বাংলাদেশ ব্যাংক অফিসার ০২ -১২-২০২২

A. 9
B. 12
C. 6
D. 15

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Answer: Option D

Explanation:

21(9)12 [21-9=12]

24(?)9 [24-9=15]

Ans: 15.

2998 . The monthly incomes of two persons are in the ratio 4:5 and their monthly expenditures are in the ratio of 7:9. If each saves BDT 50 per month, find their monthly income

A. 400 and 600
B. 400 and 500
C. 500 and 400
D. None of these

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Answer: Option B

Explanation:

Let two persons=A ,B

Income of A=4x, income of B=5x, expenditure of A= 7y andfor B=9y

4x-7y=50………1

5x-9y=50………2

x=4 and y=5

income of A=4*100=400 and b=5*100=500

সমন্বিত ৮ ব্যাংক ও ১ টি আর্থিক প্রতিষ্ঠান || অফিসার জেনারেল (10-03-2023)

A. 0% increase
B. 2% decrease
C. 5% increase
D. None of these

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Answer: Option D

Explanation:

Let the initial salary be 100 tk.

Increase by 10% will imply = 100 + 100x10/100 = (100 + 10) = 110 tk.

Decrease by 10% will mean = 90% of 110 = 99

Hence the effective change is a decrease by = (100 - 99)% = 1%. (ans)

3000 . The most economical way of going form city A to City B , in terms of toll and distance is to us the

A. bridge
B. bridge & tunnel
C. toll free highway
D. tunnel

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Answer: Option C

Explanation:

2986 . The length of two smaller sides of a right angled triangle are 5 cm and 12 cm respectively. The length of the thirs side is-

2987 . The lengths of the sides of a triangle are d+1, 2d, and 3d. The sum of the degree measures of the three interior angles of the triangle is____

2988 . The lengths of two sides of a triangle are 7 and 11. If the length of the third side is an integer, what is the least possible perimeter of the triangle?

2989 . The lest number by which 1470 must be divided to get a number which is a perfect square is:

2990 . The letters are just written reversibly.

2991 . The Lions Club has a target of raising at least Tk 500 thousand. It has already raised Tk 100 thousand. The club is sponsoring a 'Pitha' festival and Tk 5000 per ticket. Which equation represents the number of tickets (t) that the club must sell to meet its target?

2992 . The marked price of a radio is Tk.480. The shopkeeper allows a discount of 10% and gains 8%. If no discount is allowed he gain percent would be--

2993 . The market value of a 10.5% stock, in which an income of Tk. 756 is devided by investing Tk. 900, brokerage being 1/4% is:

2994 . The maximum recommended pulse rate R, when exercising .for a person who is x years of age is given by the equation R = 176 - 0.8 x . what is the age, in years , of a person whose maximum recommended pulse rate when exercising is 140?

2995 . The mean of the data set of 1000 items is 5. From each item 3 is subtracted and then each number is multiplied by 2. The new mean will be-

2996 . The measurement of a rectangle is 16 feet by 12 feet. What is the area of the smallest circle that can cover this rectangle entirely (so that no part of the rectangle is outside the circle)?

2997 . The missing number in the bracket 21 (9) 12, 24 (?) 9 is

2998 . The monthly incomes of two persons are in the ratio 4:5 and their monthly expenditures are in the ratio of 7:9. If each saves BDT 50 per month, find their monthly income

2999 . The monthly salary of a person is increased by 10% in one month, but is decreased by 10% in the next month . What is the age of their father ?

3000 . The most economical way of going form city A to City B , in terms of toll and distance is to us the

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