631 . A 40 meters long rope is divided into two parts and the one part is 18 meters more than the other one. What is the smaller part?

A. 5 meters
B. 6 meters
C. 7 meters
D. 11 meters

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Answer: Option D

Explanation:

Let,

shorter length = X

∴ Bigger length = X + 18

ATQ,

X + (X + 18) = 40

2x + 18 = 40

2x = 40 - 18

2x = 22

∴ x = 11

632 . A 45,000 liter water tank is to filled at the rate 220 liters per minute. Estimates to the nearest half hour, how long it will take to fill the tank?

A. 4 hours
B. 3.5 hours
C. 3 hours
D. 2.5 hours

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Answer: Option B

Explanation:

Assume that the tank fills in x minutes

By Direct Proportion,

x1/y1 = x2/y2

220/1 = 45000/x

x = 45000/220

x = 204.54

x = 205 minutes (approx.)

Divide x by 60 in order to convert from Minutes to Hours

⇒ 205/60 = 3.41 hours

Estimating to nearest half hours,

The 45000 L tank is filled in 3.5 hours at the rate of 220 L/m

633 . A 45000 litter water tank is to be filled at the rate of 220 litters per minute. Estimate, to the nearest half an hour, how long it will take to fill the tank?

A. 4 hours
B. 3.5 hours
C. 3 hours
D. 2.5 hours

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Answer: Option B

Explanation:

Assume that the tank fills in x minutes

By Direct Proportion,

x1/y1 = x2/y2

220/1 = 45000/x

x = 45000/220

x = 204.54

x = 205 minutes (approx.)

Divide x by 60 in order to convert from Minutes to Hours

⇒ 205/60 = 3.41 hours

Estimating to nearest half hours,

The 45000 L tank is filled in 3.5 hours at the rate of 220 L/m

634 . A 5 feet stick is cut into two parts so that one part is 2/3 of the other. How long in inches is shorter segment?

A. 3
B. 24
C. 7/2
D. 36

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Answer: Option B

Explanation:

635 . A 5 meter long stick is cut so that one part is 2/3 of the other. How long (in meter) is the shorter segment?

A. 1.25
B. 1.5
C. 2
D. 2.25

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Answer: Option C

Explanation:

Let the longer segment be m.

Therefore, the shorter segment is (2/3)m = 2m/3

Now, m + 2m/3 = 5 or, m = 3

Therefore, the shorter segment is (2/3) x 3 = 2 meter.

636 . A 70cm long wire is to be cut into two pieces such that one piece will be 2/5 as long as the other. How many centimetres will the shorter piece be ?

A. 10
B. 14
C. 20
D. 28

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Answer: Option C

Explanation:

Hints: Let the other price be of length x cm, so the shorter price = 2/5 of x = 2x / 5

Now, 2/5 x + x = 70

7/5 x = 70

x = 50 and 2/5 x = 2/5 × 50 = 20 cm

637 . A : B = 4 : 5, A : C = 10 : 9 then A : B : = ?

A. 4 : 5 : 9
B. 4 : 5 : 10
C. 8 : 9 : 10
D. 20 : 25 : 18
E. None of them

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Answer: Option D

Explanation:

A:B = 4:5

A:C = 10:9

A:B = (4 x 5) : (5 x 5) = 20:25

A:C = (10X2): (9X2) = 20:18

A:B:C = 20:25:18

Sonali- Janata- Agrani &amp- Rupali Bank Ltd. Senior Officer Recruitment 14.03.2008

A. 660
B. 720
C. 160
D. 726

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Answer: Option D

Explanation:

639 . A and B can do a work in 12 days. B and C can do it is 15 days, and A and C can do it in 20 days. If all of them work together, in how many days they can finish the work?

A. 25
B. 9
C. 12
D. 10
E. 15

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Answer: Option D

Explanation:

A + B can do the work in 12 days.

In a single day A + B will do 1/12 th portion of the work.

B + C can do the work in 15 days.

In a single day B + C will do 1/15 th portion of the work.

A + C can do the work in 20 days.

In a single day A + C will do 1/20 th portion of the work.

In a day (A + B) + (A + C) + (C + A) will do = (1/12) + (1/15) + (1/20) portion of the work.

2(A + B + C) = (1/12) + (1/15) + (1/20) = 1/5 portion of the work.

Then, (A + B + C) will do = 1/10 portion of the work in a day

A + B + C will complete the work in 10 days.

Sonali- Janata &amp- Agrani Bank Offier (Cash Recruitment) 22.02.2008

A. 4 days
B. 6 days
C. 8 days
D. 12 days

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Answer: Option C

Explanation:

(A + B) 1 days work = 1/8

(B + C) 1days work = 1/12

(A + B + C) 1days work = 1/6

(A + C) 1 days work = (2×1/6) - (1/8 + 1/12) = (1/3 - 5/24) = 3/24 = 1/8

So, A and C together will do the work in 8 days

641 . A and B go cycling in the same direction with speeds of 6 km /hr and 12 km/hr. A car from behind passes them in 9 and 10 seconds respectively . What is the speeds of the car?

A. 22 km/hr
B. 33 km/hr
C. 66 km/hr
D. 44 km/hr

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Answer: Option C

Explanation:

জনতা ও রূপালী ব্যাংক- অফিসার ১৩.১২.২০১৯

A. Tk. 1425
B. Tk. 1500
C. Tk. 1537.50
D. Tk. 1576

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Answer: Option B

Explanation:

Let, A and B
invest in a business 3x
and 2x
ATQ, 3x = 855
বা, x = 855/3
বা, x = 285
5 % of the total profit
= 3x + 2x
= 5x = 5×285=1425
95% of the total profit
= 1425/95× 100
= 1500

643 . A and B invest in a business in ratio 3:2. If 5% of the total profit goes to charity and A's share is Tk 855, the total profit is.

A. Tk. 1425
B. Tk. 1537.50
C. Tk. 1500
D. Tk. 1576

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Answer: Option C

Explanation:

Hints: Let the total profit be Tk. 100

After paying to charity A share = Tk. ( 95× 3/5) = Tk. 57

If A share is tk 57, total profit = tk.100

If A share Tk. 855 total profit = (100/57 × 855) = 1500

644 . A and B invest in a business in the ratio 3 : 2. If 5% of the total profit goes to charity and A's share is Tk. 855, the total profit is :

A. Tk. 1500
B. Tk. 1425
C. Tk. 1537
D. Tk. 1576

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Answer: Option A

Explanation:

Hints : Profit of A = 3 × Total profit × .95/3 + 2

855 = 3 × Total profit × .95 /5

Total profit = 1500

645 . A and B invested in a business in the ratio of 3:2. If 5% of the total profit goes to charity and A's share is TK.855, then how much is the total profit?

A. TK. 1425
B. TK. 1500
C. TK. 1537.50
D. TK. 1576
E. None of these

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Answer: Option B

Explanation:

Let the total profit be Tk. 100.
After paying to charity, A's share = (95*3/5) = Tk. 57.
If A's share is Tk. 57, total profit = Tk. 100.
If A's share is Tk. 855, total profit = (100/57*855) = 1500.

631 . A 40 meters long rope is divided into two parts and the one part is 18 meters more than the other one. What is the smaller part?

632 . A 45,000 liter water tank is to filled at the rate 220 liters per minute. Estimates to the nearest half hour, how long it will take to fill the tank?

633 . A 45000 litter water tank is to be filled at the rate of 220 litters per minute. Estimate, to the nearest half an hour, how long it will take to fill the tank?

634 . A 5 feet stick is cut into two parts so that one part is 2/3 of the other. How long in inches is shorter segment?

635 . A 5 meter long stick is cut so that one part is 2/3 of the other. How long (in meter) is the shorter segment?

636 . A 70cm long wire is to be cut into two pieces such that one piece will be 2/5 as long as the other. How many centimetres will the shorter piece be ?

637 . A : B = 4 : 5, A : C = 10 : 9 then A : B : = ?

638 . A amn deposits Tk.600 in a Bank at 10% interest rate compounded annuaally. At the end of the second year, the total amount including interest will become Tk--

639 . A and B can do a work in 12 days. B and C can do it is 15 days, and A and C can do it in 20 days. If all of them work together, in how many days they can finish the work?

640 . A and B can work in 8 days, B and C can do the same work in 12 days. A, B and C together can finish it in 6 days. A and C together will do it in :

641 . A and B go cycling in the same direction with speeds of 6 km /hr and 12 km/hr. A car from behind passes them in 9 and 10 seconds respectively . What is the speeds of the car?

642 . A and B invest in a business in a ratio of 3 : 2. If 5% of the total profit goes to charity. A's share is Tk. 855, the total profit is:

643 . A and B invest in a business in ratio 3:2. If 5% of the total profit goes to charity and A's share is Tk 855, the total profit is.

644 . A and B invest in a business in the ratio 3 : 2. If 5% of the total profit goes to charity and A's share is Tk. 855, the total profit is :

645 . A and B invested in a business in the ratio of 3:2. If 5% of the total profit goes to charity and A's share is TK.855, then how much is the total profit?

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