SSC CGL Tier-1 practice question
Find the smallest positive integer that must be added to 798 so that the resulting number is exactly divisible by 7.
From a SSC CGL Tier-1 Quantitative Aptitude practice set · Quantitative Aptitude
Tap an option to check your answer.
Show answer and explanation
Correct answer: (D) 7
Divide 798 by 7:
\[
798 = 7 \times 114 + 0
\]
Since 798 is already exactly divisible by 7 (remainder = 0), the smallest positive integer that can be added to yield the next multiple of 7 is \(7\):
\[
798 + 7 = 805 = 7 \times 115
\]
हिंदी में प्रश्न
वह सबसे छोटा धन पूर्णांक ज्ञात कीजिए जिसे 798 में जोड़ने पर प्राप्त संख्या 7 से पूर्णतः विभाज्य हो जाए।
उत्तर जाँचने के लिए किसी विकल्प पर टैप करें।
उत्तर और व्याख्या देखें
सही उत्तर: (D) 7
798 को 7 से विभाजित करने पर:
\[
798 = 7 \times 114 + 0
\]
चूँकि 798 पहले से ही 7 से पूर्णतः विभाज्य है (शेषफल = 0), अतः 7 का अगला गुणज प्राप्त करने के लिए जोड़ी जाने वाली न्यूनतम धनात्मक संख्या \(7\) है:
\[
798 + 7 = 805 = 7 \times 115
\]
More solved Quantitative Aptitude questions
- Sales figures are: 148, 176, and 168 units in January, February, and March respectively. Find the average monthly sales.
- The HCF of two numbers is 8 and their LCM is 144. If one of the numbers is 16, find the other number.
- Simplify: \(14 + 20 \div 2 \times 2 - 6\)
- A shopkeeper buys an article for ₹550 and sells it for ₹605. Find the profit percentage.
- Find the simple interest on ₹3000 at 10% per annum for 3 years.
- 20% of a number is 12. Find the number.