Two numbers are such that the ratio between them is 4:7 . If each is increased by 4, the ratio becomes 3:5 . The larger number is :

A 36
B 48
C 56
D 64

Correct Answer: 56

A : B4x : 7xNow 4 is added to each number4x + 47x + 4 = 35⇒20x + 20 = 21x + 12⇒x = 84x + 47x + 4 = 35⇒20x + 20 = 21x + 12⇒x = 8∴ Smaller number is 4 × 8 = 32Larger number is 7 × 8 = 56
Bissoy MCQ
#গণিত #Bangladesh Bank #অনুপাত-সমানুপাত (Ratio-Proportion) #শতকরা (Percentage) #Bangladesh Bank - Assistant Director - 2016

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দুটি সংখ্যার অনুপাত ৪ঃ৭ প্রত্যেকটির সাথে ৪ যোগ করলে তাদের অনুপাত দাঁড়ায় ৩ঃ৫; ছোট সংখ্যাটি কত?
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D ২০০, ২৫০, ৩০০
Out of two numbers, 4 times the smaller one is less than 3 times the larger one by 5, if the sum of the numbers is larger than 6 times their difference by 6, find the two numbers
A 55 and 58
B 23 and 28
C 59 and 43
D 65 and 67
Rahim has invited his three buddies over to watch the basketball game on his wide-screen television. They are all hungry, but no one wants to leave to get food. Just as they are arguing about who should make the food run, a commercial comes on for a local pizzeria that delivers. The phone number flashes on the screen briefly and they all try to remember it. By the time Zachary grabs a pen and paper, each of them recollects a different number.i. All of the men agree that the first three numbers are 995.ii. Three of them agree that the fourth number is 9.iii. Three agree that the fifth number is 2.iv. Three agree that the sixth number is 6; three others agree that the seventh number is also 6.Which of the numbers is most likely the telephone number of the pizzeria?
A 995-9266
B 995-9336
C 995-9268
D 995-8266
The sum of two numbers is 56. If three times of the smaller number is one-half of the larger number, what is the larger number?
A 16
B 7.5
C 4
D 48
The difference of two numbers is 20% of the larger number. If the smaller number is 20, then the larger number is :
A 25
B 45
C 50
D 80
The larger of two numbers exceeds twice the smaller number by 9. The sum of twice the larger and 5 times the smaller number is 74. If a is the smaller number, which eqution below determines the correct value of a ?
A 5(2a+9)+2a = 74
B 5(2a-9+2a)=74
C (4a+9)+5a=75
D 2(2a+9)+5a=74
The larger of two numbers exceeds twice the smaller number by 9. The sum of twice the larger and 5 times the smaller number is 74. If a is the smaller number, which equation below determines the correct value of a ?
A 5(2a+9)+2a = 74
B 5(2a-9)+2a = 74
C (4a+9)+5a = 74
D 2 (2a+9)+5a = 74
The difference of two numbers is 20% of the larger number, If the smaller number is 20, then the larger number is -
A 25
B 20
C 10
D 30

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