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SSC CGL level Question Set 89 on number system 11

89th SSC CGL level Question Set, 11th on topic Number System


In this 89th question set of 10 practice problem exercise for SSC CGL exam and 11th on topic Number System, a few of the problems especially on fractions should pose a bit of challenge to the student. But with concept and technique based problem solving approach, explained in the paired solution set, the student should easily solve most of the problems wholly in mind.

This question set can be used as a mini-mock test on number system, even for competitive tests other than SSC CGL.

We should mention that in MCQ test, you need to deduce the answer in shortest possible time and select the right choice. You do not have to write the steps. Writing takes up valuable seconds that you can save by solving problems in mind and writing as little as possible. This is what we call Solving in mind.

In the solution set, main focus always is on how to solve in mind in minimum time.

Based on our analysis and experience we have seen that, for accurate and quick answering, the student

  • must have complete understanding of the basic concepts in the topic area
  • is adequately fast in mental math calculation
  • should try to solve each problem using the basic and rich concepts in the specific topic area and
  • does most of the deductive reasoning and calculation in his or her head rather than on paper.

Actual problem solving is done in the fourth layer. You need to use your problem solving abilities to gain an edge in competition.

The answers to the questions are given at the end.

89th question set - 10 problems for SSC CGL exam: 11th on topic Number System - time 12 mins

Problem 1.

A fraction is greater than its reciprocal by $\displaystyle\frac{9}{20}$. What is the fraction?

  1. $\displaystyle\frac{4}{5}$
  2. $\displaystyle\frac{5}{4}$
  3. $\displaystyle\frac{4}{3}$
  4. $\displaystyle\frac{3}{4}$

Problem 2.

A number is greater than 58 times its reciprocal by $\displaystyle\frac{3}{4}$. What is the number?

  1. $8$
  2. $-8$
  3. $-12$
  4. $12$

Problem 3.

The ten's digit of a two digit number is larger than the unit's digit by 7. If we subtract 63 from the number, the new number obtained is a number formed by interchange of the digits. The new number formed in this way don't have any factor common with the original number. Find the original number.

  1. 92
  2. 29
  3. 70
  4. 18

Problem 4.

The reciprocal of the sum of reciprocals of $\displaystyle\frac{2}{9}$ and $\displaystyle\frac{7}{10}$ is,

  1. $\displaystyle\frac{83}{90}$
  2. $\displaystyle\frac{14}{83}$
  3. $\displaystyle\frac{83}{14}$
  4. $\displaystyle\frac{90}{83}$

Problem 5.

Which one is the largest among the fractions, $\displaystyle\frac{5}{113}$, $\displaystyle\frac{7}{120}$, $\displaystyle\frac{13}{125}$ and $\displaystyle\frac{17}{160}$

  1. $\displaystyle\frac{13}{145}$
  2. $\displaystyle\frac{7}{120}$
  3. $\displaystyle\frac{5}{113}$
  4. $\displaystyle\frac{17}{160}$

Problem 6.

The sum of three consecutive natural numbers each divisible by 5 is 225. The middle number among them is,

  1. 75
  2. 80
  3. 85
  4. 70

Problem 7.

A rational number lying between $\displaystyle\frac{1}{2}$ and $\displaystyle\frac{3}{5}$ is,

  1. $\displaystyle\frac{3}{5}$
  2. $\displaystyle\frac{2}{5}$
  3. $\displaystyle\frac{11}{20}$
  4. None of these

Problem 8.

$\left(999\displaystyle\frac{999}{1000}\times{7}\right)$ is equal to,

  1. $7000\displaystyle\frac{7}{1000}$
  2. $6683\displaystyle\frac{7}{1000}$
  3. $6993\displaystyle\frac{7}{1000}$
  4. $6999\displaystyle\frac{993}{1000}$

Problem 9.

The number 323 has,

  1. three prime factors
  2. two prime factors
  3. five prime factors
  4. no prime factor

Problem 10.

A, B, C and D purchase a gift worth Rs.60. A pays $\frac{1}{2}$ of what others are paying. B pays $\frac{1}{3}$rd of what others are paying and C pays $\frac{1}{4}$th of what others are paying. What is the amount paid by D?

  1. Rs.13
  2. Rs.16
  3. Rs.15
  4. Rs.14

The answers to the questions and list of relevant reading material are given below.

Answers to the questions

Problem 1. Answer: Option b: $\displaystyle\frac{5}{4}$.

Problem 2. Answer: Option a: 8.

Problem 3. Answer: Option a: 92.

Problem 4. Answer: Option b: $\displaystyle\frac{14}{83}$.

Problem 5. Answer: Option d: $\displaystyle\frac{17}{160}$.

Problem 6. Answer: Option a: 75.

Problem 7. Answer: Option c: $\displaystyle\frac{11}{20}$.

Problem 8. Answer: Option d: $6999\displaystyle\frac{993}{1000}$.

Problem 9. Answer: Option b: two prime factors.

Problem 10. Answer: Option a: Rs.13.

Guided help on Number system, HCF LCM in Suresolv

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Suresolv Number system, HCF LCM Reading and Practice Guide for SSC CHSL, SSC CGL, SSC CGL Tier II, Bank PO and Other Competitive exams.

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