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Logical Reasoning & Problem Solving Practice Questions

Question 1Show Details

Four friends take turns rolling a die, numbered from 1 to 6. Each friend rolls a different number. Each friend then makes a statement about the number they rolled.

  • Ruby: I rolled a 4.
  • Sam: My number's higher than Ruby's.
  • Tori: My number's lower than Sam's.
  • Umar: My number's lower than Tori's.

If exactly one of these statements is a lie, it is possible to determine which number each friend rolled if we know for sure that

Question 2Show Details

Tails with three kinds of joints (ball-and-socket; peg-and-socket; gliding) have an unusual shape that allows for wide-ranging mechanical performance in grasping ability and also provide significant crushing resistance – that is, the tails are far less likely to be crushed when they collide with another object. By contrast, the cylindrical tails found in most animals are not prehensile (capable of grasping) or resilient to crushing because their plates translate and rotate upon impact. Seahorses, unlike most animals, have tails shaped like square prisms. Their tails are prehensile and resistant to impact.

From this information it follows that

Question DetailShow Details

Excessive weight gain during pregnancy has been linked to increased risk of gestational diabetes, high blood pressure, large babies (who have a higher risk of childhood obesity) and birth interventions. The US Institute of Medicine (IOM) has therefore set out guidelines for pregnancy weight gain (listed in the table). The guidelines are tied to body mass index (BMI), which is an expression of body weight-for-height and determines a person's weight category.

A research group studied gestational weight gain in deliveries of full-term singleton births (excluding twins, triplets, etc.) in several different years and compiled the data, as shown in the figure below.

Question 3Show Details

Of the following, the results of the research would least support the conclusion that

Question 4Show Details

If a typical gestational period is 39 weeks, the IOM's weight gain recommendations assume that a pregnant woman with a prepregnancy BMI of 23.5 must gain no more than

Question DetailShow Details

You are working as a gate agent for Pacific Air. Due to a glitch in your reservations system, none of the passengers booked into first class for the flight to Tokyo have been given seat assignments. The first class compartment includes four rows of seats (A, E, F, K). The aircraft includes two aisles from the rear up to row 3, after which the aisles merge into one, due to the narrowing of the plane.

All the first class passengers are waiting at the boarding gate, and you note their travelling companions and seating preferences as follows. (Note: Solo passengers can sit anywhere, except where restricted by their preferences. Everyone must be seated according to their preferences.)

  • Georgia and Harrison, a couple on honeymoon, prefer to sit across the aisle in the same row.
  • A mother, Kirstie, with two small children, Lily and Max, prefers that they sit in adjacent seats in the same row, with Kirstie next to one or both children.
  • Lily wants a window seat, while Max refuses to sit by a window.
  • There are two businessmen, each travelling as a solo passenger.
  • Three airline employees – a pilot and two flight attendants – are travelling as solo passengers.
  • The pilot and one of the businessmen want window seats on the left side of the plane.
  • The other businessman will not sit in a row adjacent to any small children.

You must work quickly to figure out the seat assignments, as boarding is about to begin!

Question 5Show Details

If Lily sits in 3A, and 1K is empty, who must sit in a K seat?

Question 6Show Details

Suppose that the two businessmen sit in the same row, with a flight attendant seated directly in front of one of them. Which of the following could be true?

Question 7Show Details

If the flight attendants sit in 2K and 3F, the empty seats could not be

Question DetailShow Details

Attention Deficit Hyperactivity Disorder (ADHD) causes hyperactivity and difficulties with concentration in children and young adults. In the following study, children were given an approved drug for a number of weeks at 20mg, 40mg or 80mg. One group of children were given a placebo, which contained 0mg of the drug.

Prior to starting treatment, all children were given a test to determine their level of concentration; this became their baseline score. In this test, a higher score corresponds to a higher level of concentration and a lesser severity of ADHD. The same test was then repeated every two weeks for the duration of the 12-week study. The graph shows the results from the study.

Question 8Show Details

The drug is least likely to be effective based on the data from

Question 9Show Details

Which of the following is most strongly supported by the results of the experiment?

Interpersonal Understanding Practice Questions

Question DetailShow Details

In the passage below, a female patient has come to the emergency department complaining of abdominal pains.

The patient was half-sitting up on the table, a pillow in a plastic case behind her head, watching as the two doctors leafed through her notes. Although they were of a similar age, the taller doctor held an air of superiority. He, obviously the slightly more senior of the two, had some sort of seniority over the shorter doctor, even if he was only mere months older.

'The patient is complaining of abdominal pains. What do you do?' asked the taller doctor.

'Indigestion?' The shorter doctor barked the word right after her, as if it were a command and she were a dog. He glanced to his taller, apparently senior, colleague, then back at her, firing away: "Are you suffering from gas? Constipation? Nausea? Vomiting?‟

'Diarrhoea,' sighed the taller doctor. 'Not vomiting. You should've asked about diarrhoea.'

'Well?' the younger doctor was clicking his pen in and out, in and out, staring at her now. 'What about it? Have you had any diarrhoea?‟

12 The patient reddened. She‟d never have come to hospital for such a simple, obvious problem. It was as though these boys were playing guessing games and using her as the object of inquiry. They‟d barely given her a chance to answer.

'No.' The meekness of her reply annoyed her. It was met with more sighs from Dr Big.

'No. Of course not. You can‟t make a diagnosis from something as vague as “abdominal pains”; you need to determine where specifically the pain is coming from, how severe the pain is, whether the area is swollen. Come on, you know all this – it‟s so basic, even the nurses can do it. What are other causes of abdominal pains?' Shorty rattled off the list, counting on his fingers. 'Bowel cancer, intestinal obstruction, problems with the liver and kidneys, menstruation or pregnancy. Although this patient is too old to be menstruating or pregnant.'

'Right. Good. Now you‟re making observations. The next step is to do a thorough inspection of the area.‟ He turned his head to the patient, his hands already hovering over her. 'You don't mind do you?' he asked, almost as an afterthought.

Not trusting her voice, she merely shook her head.

The taller doctor nodded, pulled the patient‟s shirt up into her armpits and began to press different areas of her stomach firmly. Thank God I wore a new bra, she couldn't help thinking.

'Can you tell me please, in numbers from 1 to 10, the level of pain in each area I‟m touching?' His words were brisk and confident, his hands the same – though so cold on her skin. She could only nod in consent.

'Zero,' she said, as his cold, clinical fingers pressed at her left side. He pushed against her again and again, moving closer and closer to the sensitive area.

'Five,' she said. Then, she couldn't help squeaking as he moved round the area in rapid sucession: 'Seven… eight… ten…ten…ten!'

'Look closely,' he said to the short one. 'This area' – she winced as he pushed flames of pain into her again – 'is showing extensive swelling, and the patient is experiencing discomfort. Feel it.' He kept pressing into her,
35 shooting her through with fire, then instructing the other doctor to do the same. The patient inhaled sharply.

Just lie there, just lie there, she said to herself. Like a lamb at the butcher’s.

Question 10Show Details

Why does the patient redden (line 12)?

Question 11Show Details

Regarding his feelings towards the shorter doctor, the taller doctor might best be described as

Question 12Show Details

How does the patient feel about being examined physically by the shorter doctor (line 35)?

Question 13Show Details

In the context of the passage as a whole, which of the following best describes the actions of the shorter doctor?

Question DetailShow Details

Josh is Irene’s eldest son. Irene has recently been diagnosed with a terminal illness. They are discussing Irene’s decision to refuse treatment.

Josh: So basically, what you're trying to tell me is that you're giving up?

Irene: It's not about giving up. You and the boys all have families and jobs now. Your dad's been gone for almost 8 years. I've done my part. I don't want to hang on, in agony, making you all put up with me.

Josh: But we're all still your family! I just don't see how you can do this to us. What about your grandchildren? Okay, Dad is gone, but I‟m sure he wouldn't have wanted this. He would have wanted you to live as long as possible. It doesn't make any sense, Mum.

7 Irene: Josh. What's the use of me undergoing all that treatment? You saw how Uncle Fred was when he had the chemo. It gave him another two years of life. But it was unbearable for him. It took his hair and his appetite and his energy. That's what it's meant to do. It would do the same to me. And it was unpleasant for the rest of us, too. You boys were so frightened. That one time, we left the hospital and you were crying in the car. You couldn't stop crying. You can't honestly say that you‟d want to go through that again, love, can you?

Josh: Of course I would! Even if it only gave you another month it would be worth it. And from what the doctors are saying… you could see Parker graduate, and Matt's wedding. Matt and Emma are getting married next year. They'll want you there. Do it for them, Mum. For me. For us. Have the treatment. 15 Please. Please. Give it a go. And I won't cry this time, I promise! You can't just let yourself go…

17 Irene:I'm not scared, Josh. I feel ready for this. What's the point in me hanging on anymore?

Question 14Show Details

Irene‟s example of Uncle Fred (line 7) suggests that she is refusing treatment primarily because

Question 15Show Details

A day after the end of the passage, Josh accompanies Irene to her next doctor‟s appointment. The doctor asks if Irene has come to a decision about treatment, and Irene hesitates.

Based on his comments and feelings in the passage, how is Josh most likely to respond?

Question 16Show Details

How does Irene ultimately feel about her decision (line 17)?

Non-Verbal Reasoning Practice Questions

Question DetailShow Details

Next in the Series

Choose the option (A, B, C, D or E) that completes the sequence in the simplest and most logical way.

Question 17Show Details

Question 18Show Details

Question DetailShow Details

Missing Segment

Choose the option (A, B, C, D or E) that completes the image in the simplest and most logical way.

Question 19Show Details

Question 20Show Details

Question DetailShow Details

Middle of the Sequence

In this question, the five images can be rearranged into a logical sequence.

Choose the option (A, B, C, D or E) that occurs in the middle position of the simplest and most logical sequence.

Question 21Show Details

Question 22Show Details