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SSC CGL Exam  >  SSC CGL Test  >  General Intelligence and Reasoning  >  Test: Problem Solving- 1 - SSC CGL MCQ

Problem Solving- 1 - Free MCQ Practice Test with solutions, SSC CGL GI


MCQ Practice Test & Solutions: Test: Problem Solving- 1 (10 Questions)

You can prepare effectively for SSC CGL General Intelligence and Reasoning for SSC CGL with this dedicated MCQ Practice Test (available with solutions) on the important topic of "Test: Problem Solving- 1". These 10 questions have been designed by the experts with the latest curriculum of SSC CGL 2026, to help you master the concept.

Test Highlights:

  • - Format: Multiple Choice Questions (MCQ)
  • - Duration: 20 minutes
  • - Number of Questions: 10

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Test: Problem Solving- 1 - Question 1
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If the product of two integers x and y is less than 82 with y being a multiple of three. What is the highest value that x may have?

Detailed Solution: Question 1

  • In order to find the maximum value of x, we need to put the minimum value of y i.e. 3.
  • Now, if we divide 82 by 3, we get 27.33, which means the maximum integer value that x can have must be less than 27.33.
  • From the given options, we choose option C which is 27.

Test: Problem Solving- 1 - Question 2
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Adam is 2 years older than Mike. The square of Adam’s age is 28 greater than the square of Mike’s age in years. What is the sum of Adam’s age and Mike’s age?

Detailed Solution: Question 2

  • Let suppose that Adam's age is 'A', and Mike's age is 'M'.
  • From the statement of the questions, we deduce following two equations.
  • A = 2+M and also A2= M2+28 -> A2 - M2 = 28  
  • (A+M)(A-M)=28 and then putting
  • A-M=2, we get (A+M) = 14.
  • Therefore, the sum of Adam's age and Mike's age is 14.

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Test: Problem Solving- 1 - Question 3
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Adam has bought a certain number of apples. Jen has bought 5 times the fruit that Adam has bought. If Jen has bought two and a half dozen apples how many apples does Adam have?

Detailed Solution: Question 3

It's a relatively simple question. Jen has five times the number of apples which Adam has. If Jen has 30 apples, Adam has 30/5=6 apples.

Test: Problem Solving- 1 - Question 4
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What could be the possible value of 'y' after the intersection of points

y= -x2 + 3 and y= x2- 5

Detailed Solution: Question 4

We equate the two equations, find the two points of intersection of the two functions and compute the distance using the distance between points formula.

After equating these two equations, we get x= +2 and x=-2 which gives us y=7, and y=-1. Therefore, we select option E is as our correct answer.

Test: Problem Solving- 1 - Question 5
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A house is built by 20 workers in 30 days. How many workers will be needed to complete the work in 15 days?

Detailed Solution: Question 5

As stated in the question, the work needs to be completed in half the days as compared to the earlier timeline for completion, therefore, the number the workers needs to be doubled.

Test: Problem Solving- 1 - Question 6
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Alan has two more than twice as many chocolates as does Alice, and half as many chocolates as does Nadia. If Alice has ‘a’ number of chocolates, then in terms of ‘a’, how many chocolates do Alan, Alice and Nadia have?

Detailed Solution: Question 6

  • We know that Alice has 'a' chocolates.
  • Alan has 2a+2 chocolates from the given statement in the question.
  • Nadia has double the chocolates as Alan has, so she has 4a+4 chocolates.
  • Adding these, we get 4a+4+2a+2+a = 7a +6 .
  • So ,Option (d) is correct.

Test: Problem Solving- 1 - Question 7
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Master Chef Alan makes a dish every day from one of his recipe books. He has written 3 books and each book contains 15 different recipes. What is the probability that he will cook 4th dish from 3rd book today?

Detailed Solution: Question 7

We note that there are three books and each book contains 15 recipes so there are a total of 45 recipes. The probability that he will cook 4th dish from 3rd book today is 1/45. It's important that you must not get distracted by irrelevant information. All the recipes are different from each other.

Test: Problem Solving- 1 - Question 8
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Milk needs to be thinned to a ratio of 3 parts milk to 2 parts water. The milk-man has by mistake added water so that he has 8 liters of milk which is half water and half milk. What must he add to make the proportions of the mixture correct?

Detailed Solution: Question 8

  • We note that the final ratio must be 3:2 for milk and water respectively.
  • Now, according to given scenario in the question, we have eight liters of solution with 4 liters milk and 4 liters water, which makes it 2:2.
  • In order to make it 3:2, we add 2 liters milk.
  • This would make a total of 6 liters milk and 4 liters water i.e. 6:4
  • which can be simplified to 3:2.

Test: Problem Solving- 1 - Question 9
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In a Christmas sale, the prices of Dell Laptops were reduced by 10% for public. However, for Dell employees, the price was further reduced by 5%. If the original price of a laptop was $330 before Christmas sale, approximately how much would it cost in a Christmas sale to a Dell employee?

Detailed Solution: Question 9

  • Original Price = $330
  • Price after 10% discount= 330 * 0.9 = $297
  • Price after further 5% discount (for Dell employees) = 297* 0.95 = $282.
  • Therefore, Option C.

Test: Problem Solving- 1 - Question 10
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A group wanted to renovate their club. Each member contributed an amount equal to twice the number of members in the club. But the government contributed same amount as the number of members. If each member had contributed the same amount as the number of members and the government had given an amount twice the number of members, then they would have Rs. 210 less. How many members are there?

Detailed Solution: Question 10

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About this SSC CGL Practice Test

This test contains 10 MCQs on Problem Solving- 1 with detailed solutions for each question. It is part of the General Intelligence and Reasoning for SSC CGL course on EduRev, designed to align with the current SSC CGL syllabus. Each solution explains not just the correct answer but also gives you an understanding of the topic — not just to attempt the question but also help you prepare for the exam with practice.

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If you found this Problem Solving- 1 MCQ Test helpful, you can further enhance your SSC CGL preparation with in-depth courses on EduRev, for all the subjects and topics available in General Intelligence and Reasoning for SSC CGL course. The course offers:
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