Simplification
5 solved SSC CGL Quantitative Aptitude previous year questions on Simplification, each with the correct answer and a full explanation.
Q1
The sum of a fraction and 3 times its reciprocal is 37/10. What is the fraction?
✓ Correct answer: a) 5/2
ExplanationLet fraction = Reciprocal of fraction = According to question Only satisfy the condition of the question Hence, Option A is the correct answer.
Q2
A fraction is greater than its reciprocal by (72) / (77). What is the fraction?
✓ Correct answer: b) 11 / 7
ExplanationLet fraction = Reciprocal of fraction = So - = = 77 77 -72ab -77 77 11a + 7b =0 =0 7a -11b =0 or 11a+7b= 0 7a =11b or 11a = -7b Hence, Option B is the correct answer.
Q3
A fraction is greater than twice its reciprocal by 7/15 . What is the fraction?
✓ Correct answer: b) 5/3
ExplanationLet fraction = Then, the reciprocal of the fraction = According to the question, Hence, Option B is the correct answer.
Q4
A fraction is greater than its reciprocal by 9/20. What is the fraction?
✓ Correct answer: a) 5/4
ExplanationLet fraction = Its reciprocal = Now, according to the question, Hence, Option A is the correct answer.
Q5
On simple interest a sum of ₹640 becomes ₹832 in 2 years. What will ₹860 become in 4 years at the same rate of simple interest?
✓ Correct answer: b) ₹1,376
ExplanationGiven Amount = Rs. 832 Principal = Rs. 640 Simple interest = 832 -640 = Rs.192 Hence, Option B is the correct answer.
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