OSSSC / OSSC MATH AND REASONING

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OSSSC / OSSC MATH AND REASONING (@pinnacle_math_reasoning) Ingliz til segmentidagi kanali faol ishtirokchi. Hozirda hamjamiyat 11 531 obunachidan iborat bo'lib, Taʼlim toifasida 17 102-o'rinni va Hindiston mintaqasida 33 457-o'rinni egallagan.

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02 Oktabr, 2026 dagi oxirgi ma’lumotlarga ko‘ra kanal barqaror faollikka ega. Oxirgi 30 kunda obunachilar soni 147 ga, so‘nggi 24 soatda esa 0 ga o‘zgardi va umumiy qamrov yuqori darajada qolmoqda.

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Yuqori yangilanish chastotasi (oxirgi ma’lumot 03 Oktabr, 2026 da olingan) sababli kanal doimo dolzarb va katta qamrovli bo‘lib qoladi. Analitika auditoriya kontent bilan faol hamkorlik qilishini, uni Taʼlim toifasidagi muhim ta’sir nuqtasiga aylantirishini ko‘rsatadi.

11 531

Obunachilar

Ma'lumot yo'q24 soatlar

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+14730 kun

2 377

Post ko'rishlar

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20.61%

Muloqot nisbati

~ 1

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11 531

Ans. (c) : The least number · (L.C.M of 15, 18, 36) x + 9 = 180x + 9 ∵ (180x + 9) is divisible by 11. ∴ On taking x = 6, Number · 180×6 + 9 = 1089 Sum of the digits of the number · 1+0+8+9 =18 ✅

11 531

𝐎𝐃𝐈𝐒𝐇𝐀 𝐕𝐈𝐑𝐓𝐔𝐀𝐋 𝐋𝐈𝐁𝐑𝐀𝐑𝐘 What is the sum of the digits of the least number which when divided by 15, 18 and 36 leaves the same remainder 9 in each case and is divisible by 11?

Anonymous voting

11 531

Ans. (d) : The number divisible by 5, 6 and 8 · (L.C.M of 5, 6 and 8)×k = 120 k The numbers between 300 and 700 = (120×3), (120×4), (120×5) = 360, 480, 600 Hence, there are three numbers (360, 480, 600) between 300 and 700 which is divisible by 5, 6 and 8.

11 531

𝐎𝐃𝐈𝐒𝐇𝐀 𝐕𝐈𝐑𝐓𝐔𝐀𝐋 𝐋𝐈𝐁𝐑𝐀𝐑𝐘 How many numbers between 300 and 700 are divisible by 5, 6 and 8?

Anonymous voting

11 531

Again the bells ring simultaneously after · (L.C.M of 3, 5, 8, 9 and 10) = 360 seconds 360 / 60minutes =6 minutes

11 531

𝐎𝐃𝐈𝐒𝐇𝐀 𝐕𝐈𝐑𝐓𝐔𝐀𝐋 𝐋𝐈𝐁𝐑𝐀𝐑𝐘 Five bells ring together at the intervals of 3, 5, 8, 9 and 10 seconds. All the bells ring simultaneously at the same time. They will again ring simultaneously after:

Anonymous voting

11 531

Ans. (d) : L.C.M of 12, 16, 18, 20 and 25 = 3600 ∴ x = 3600 k + 4 For k = 5, the number will be divisible by x = 7 x = 18004 Hence, the digit at the thousand's place will be 8.

11 531

𝐎𝐃𝐈𝐒𝐇𝐀 𝐕𝐈𝐑𝐓𝐔𝐀𝐋 𝐋𝐈𝐁𝐑𝐀𝐑𝐘 When 12, 16, 18, 20 and 25 divide the least number x, the remainder in each case is 4 but x is divisible by 7. What is the digit at the thousands' place in x ?

Anonymous voting

11 531

Ans. (b) : LCM of 5, 6 and 8 = 5 × 2 × 3 × 2 × 2 = 120 Required number · 120 + 3 = 123

11 531

𝐎𝐃𝐈𝐒𝐇𝐀 𝐕𝐈𝐑𝐓𝐔𝐀𝐋 𝐋𝐈𝐁𝐑𝐀𝐑𝐘 Find the smallest number such that when it is divided by 5, 6 and 8 it leaves a remainder 3 in each case.

Anonymous voting

11 531

𝐎𝐃𝐈𝐒𝐇𝐀 𝐕𝐈𝐑𝐓𝐔𝐀𝐋 𝐋𝐈𝐁𝐑𝐀𝐑𝐘 How many zeroes are there in product 4⁶ × 15¹⁰?

Anonymous voting

11 531

𝐎𝐃𝐈𝐒𝐇𝐀 𝐕𝐈𝐑𝐓𝐔𝐀𝐋 𝐋𝐈𝐁𝐑𝐀𝐑𝐘 Find the positive number which when decreased by 20 is equal to 2925 times the reciprocal of the number.

Anonymous voting

11 531

𝐎𝐃𝐈𝐒𝐇𝐀 𝐕𝐈𝐑𝐓𝐔𝐀𝐋 𝐋𝐈𝐁𝐑𝐀𝐑𝐘 If the difference between two numbers is 6 and the difference between their squares is 60, what is the sum of their cubes?

Anonymous voting

11 531

𝐎𝐃𝐈𝐒𝐇𝐀 𝐕𝐈𝐑𝐓𝐔𝐀𝐋 𝐋𝐈𝐁𝐑𝐀𝐑𝐘 If A = 0.abcabc....., then by what number A should be multiplied so as to get an integeral value ?

Anonymous voting

11 531

𝐎𝐃𝐈𝐒𝐇𝐀 𝐕𝐈𝐑𝐓𝐔𝐀𝐋 𝐋𝐈𝐁𝐑𝐀𝐑𝐘 How many numbers less than 350 are multiples of both 4 and 3?

Anonymous voting