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Numerical Puzzles Questions with Solutions

29 questions11 easy13 medium5 hard

Numerical puzzles give a set of numbers arranged in a grid, triangle, circle or other figure, with one number missing. You need to find the rule that links the numbers and use it to find the missing value. This topic also covers puzzles where operations or symbols need to be filled in to make an equation correct. Common rules include the sum or product of numbers in a row, column or around a figure; the difference between pairs; squares and cubes; and combinations such as (a x b) - c. Test the rule you find on every complete row or figure before applying it. If the first idea doesn't fit everywhere, try rows instead of columns or diagonals instead of rows. Practise the numerical puzzles below, each with a step-by-step solution explaining the rule.

All QuestionsEasyMediumHard
  1. Q1.

    You are given two (unmarked) containers of capacity litres and litres, and a huge tank of water. You need to get a measure of exactly litres of water. A move is either filling a container completely or emptying a container (either fully or partly). The smallest number of moves needed to do this task is

    A. B. C. D. None of these
    hardAsked in NIMCET 2008View solution ›
  2. Q2.

    Four friends Arjan, Bhuvan, Guran and Lakha were comparing the number of sheep they owned. Guran has more sheep than Lakha. Arjan gave one third of his sheep to Bhuvan, Bhuvan gave one fourth of what he then held to Guran, and Guran passed one fifth of his holding to Lakha. After this, all had an equal number of sheep. How many sheep did each possess (minimum possible)?

    A. 200, 105, 110, 100B. 90, 55, 55, 45C. 180, 110, 110, 100D. 90, 50, 55, 45
    hardAsked in NIMCET 2008View solution ›
  3. Q3.

    There are five boxes of different unknown weights, each less than 100 kg. These boxes were weighed in pairs and the weights obtained are 110, 112, 113, 114, 115, 116, 117, 118, 120 and 121 kg. What is the weight in kg of the heaviest box?

    A. 60B. 62C. 64D. 61
    hardAsked in NIMCET 2014View solution ›
  4. Q4.

    In an examination, there are 100 questions divided into 3 parts A, B and C, and each part should contain at least one question. Each question in parts A, B and C carries 1, 2 and 3 marks respectively. Part A is for at least 60% of the total marks and part B should contain 23 questions. How many questions must be set in part C?

    A. 1B. 2C. 3D. Cannot be determined
    hardAsked in NIMCET 2015View solution ›
  5. Q5.

    There are 8436 steel balls, each with a radius of 1 centimetre, stacked in a pile, with 1 ball on top, 3 balls in the second layer, 6 in the third layer, 10 in the fourth and so on. The number of horizontal layers in the pile is

    A. 34B. 38C. 36D. 32
    hardAsked in NIMCET 2018View solution ›