Arithmetic Aptitude - Conversion questions with answers


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  1. Stella went for shopping at a home goods store and found that a trolley could hold 25 lbs of goods. She purchased a chair weighing 5 lbs, few tiles with a total weight of 10 lbs and 2 oz, a shoe rack weighing 4 lbs and 8 oz and a small kitchen appliance weighing 3 lbs and 7 oz. How many lbs (and oz) of items can she still put in the trolley

    1. 2 lbs and 25 oz
    2. 3 lbs and 15 oz
    3. 1 lbs and 15 oz
    4. 2 lbs and 5 oz
    View Answer

    Answer: C. 1 lbs and 15 oz

    Explanation: Total weight of the goods purchased: 5 lbs + 10 lbs + 2 oz + 4 lbs + 8 oz + 3 lbs + 7 oz
    = 22 lbs + 17 oz
    = 23 lbs + 1 oz (since 16 oz = 1 lbs)
    Total weight that the trolley can hold = 25 lbs = 24 lbs + 16 oz (since 16 oz = 1 lbs)
    Hence, weight left = 24 lbs + 16 oz – (23 lbs + 1 oz) = 1 lbs + 15 oz


  2. Evan needs to send a parcel to his brother. He wants to send a cookie box that weighs 1 lbs and 7 oz and a chocolate box that weighs 2 lbs and 11 oz. If the rate of sending parcel is $2 per 10 oz, how much money will Evan need to pay for sending the parcel?

    1. $13.20
    2. $15.25
    3. $20
    4. $18.25
    View Answer

    Answer: A. $13.20

    Explanation: Total weight of the parcel to be sent = 1 lbs + 7 oz + 2 lbs + 11 oz
    = 3 lbs + 18 oz
    Using, 1 lbs = 16 oz
    = 3 * 16 oz + 18 oz = 48 + 18 = 66 oz
    Rate for sending the parcel = $2 for each 10 oz
    Therefore,


  3. A pressure cooker of capacity 6 quart should be filled only up to 2/3rd of its capacity to prevent excess pressure from building up in the cooker. If Anny poured 7 pints of vegetable noodles soup mix into the cooker, how much more quarts of soup mix can she still add?

    1. 0.25 quart
    2. 0.5 quart
    3. 5 quarts
    4. 0.75 quart
    View Answer

    Answer: B. 0.5 quart

    Explanation: Maximum amount of mix that can be filled in the cooker = 2/3 of 6 quats = 4 quats
    Using conversions: 2 pint = 1 quarts Therefore,
    1 pint = ½ quarts
    Hence, 7 pint = 7/2 = 3.5 quarts
    Hence, the amount of soup mix that Anny can pour more = 4 – 3.5 = 0.5 quarts


  4. An 18-oz bottle of cranberry juice costs $9. A discount coupon gives $3 off on purchase of two bottles. A 2-quarts bottle (without any discount coupon) costs $32. Which of the two juice bottles is more reasonably priced?

    1. The juice is cheaper by $2.02 per oz when bought with coupon
    2. The juice is cheaper by $0.02 per oz when bought without coupon
    3. The juice is cheaper by $0.08 per oz when bought with coupon
    4. The juice is cheaper by $1.02 per oz when bought without coupon
    View Answer

    Answer: C. The juice is cheaper by $0.08 per oz when bought with coupon

    Explanation:
    Case 1: Total amount with coupon = 2 bottles = 18 oz + 18 oz = 36 oz
    Price with coupon = $9 + $9 - $3 (coupon) = $ 15
    Hence, calculating price per oz:

    Therefore, x = $0.42 per oz with coupon
    Case 2:
    1 quart = 2 pints
    2 quart = 2* 2 pints = 4 pints
    1 pint = 2 cups
    4 pint = 4 * 2 = 8 cups
    1 cup = 8 oz
    8 cups = 8 * 8 = 64 oz
    Hence, calculating price per oz:

    Therefore, x = $0.5 per oz without coupon



  5. A mobile phone needs to be packed in a box. The thickness of the phone is 8mm. The thickness of the packing material is 15mm. Two layers of the packing material are to be placed in the box, one on the top of the phone and one layer under it. What should be the minimum thickness of the box in centimetres?

    1. 2.3 cm
    2. 3 cm
    3. 3 cm and 6 mm
    4. 3.8 cm
    View Answer

    Answer: D. 3.8 cm

    Explanation: Total minimum required thickness
    = 15mm (top layer of packing material) + 8mm (thickness of phone) + 15mm (lower layer of packing material)
    = 38 mm
    = 3.8 cm


  6. On his birthday, Jack needs to decorate a large birthday banner on the wall. For this, he needs to dig a nail on the wall at a height of 6 feet 5 inches. He brought in a chair that has a height of 1 foot and 8 inches. Jack is 3 feet and 3 inches tall and can reach up to a height of 4 feet and 5 inches after he raises his arm. Will Jack be able to reach the wall if he stands on the chair?

    1. No, he will be shorter by 4 inches
    2. Yes, he will be longer by 8 inches
    3. No, he will be shorter by 14 inches
    4. Yes, he will be longer by 1 foot
    View Answer

    Answer: A. No, he will be shorter by 4 inches

    Explanation: Total height Jack can reach
    = Height of the chair + Jack’s height after raising his arm
    = 1 foot + 8 inches + 4 feet + 5 inches
    = 5 feet + 13 inches
    = 6 feet + 1 inches (using 1 foot = 12 inches)
    Remaining height = Height of the wall – total height Jack can reach
    = 6 feet + 5 inches - 6 feet + 1 inches
    = 4 inches


  7. Geeta used 83 circular, electric divas to decorate the balcony of her house which is rectangular in shape. The balcony is 7 feet by 11 feet. What is the radius of each diva in centimetres?

    1. 5.2 inches
    2. 10.4 inches
    3. 2.6 inches
    4. 1.3 inches
    View Answer

    Answer: C. 2.6 inches

    Explanation: We need to calculate the perimeter of the balcony since divas are decorated around the balcony.
    The perimeter of the balcony = 2 (7 + 11) = 2 (18) = 36 feet
    Since 83 divas were used to decorate 36 feet long stretch, hence the width (diameter) of each diva
    = 36/83
    = 0.433 feet
    Therefore, radius of each diva = 0.433/2 = 0.216 feet
    = 12 * 0.216 inches (using 1 feet = 12 inches)
    = 2.6 inches


  8. Mary wanted 5 pieces of ribbon (each of length 165 centimetres) to decorate the door of her class. She bought a roll of ribbon containing 8 m of ribbon. Will this be enough for her to decorate the door as per her requirement? If yes, how much access ribbon will be there? If no, how much more ribbon does she needs?

    1. No, Mary has less ribbon (less by 140 centimetres)
    2. Yes, Mary has access ribbon (more by 25 centimetres)
    3. Yes, Mary has access ribbon (more by 15 centimetres)
    4. No, Mary has less ribbon (less by 40 centimetres)
    View Answer

    Answer: B. Yes, Mary has access ribbon (more by 25 centimetres)

    Explanation: Ribbon length required by Mary = 165 * 5 = 825 centimetres = 8.25 m (8 m + 25 cm) (using 1 m = 100 cm)
    Length of the ribbon bought = 8 m
    Therefore, Mary has access ribbon = 8 m 25 cm – 8 m = 25 cm


  9. 27 grams of liquid chocolate is required to make one spherical chocolate. What will be the weight of a pack of chocolates (in Kgs) containing 15 such chocolates? The weight of individual chocolate packaging is 6 grams and the weight of the packing box is 53 grams.

    1. 0.928 Kgs
    2. 1.096 Kgs
    3. 0.464 Kgs
    4. 0.548 Kgs
    View Answer

    Answer: D. 0.548 Kgs

    Explanation: Weight of the package containing 15 chocolates
    = weight of 15 chocolates + weight of 15 chocolate packaging + weight of packaging box
    = 27 * 15 + 6 * 15 + 53
    = 405 + 90 +53
    = 548 grams
    = 0.548 Kgs


  10. 17 inches of decorative tape is required to decorate all the sides of a card. How many such cards can be decorated with 8 yards of the tape?
    1. 20 cards
    2. 17 cards
    3. 11 cards
    4. 36 cards
    View Answer

    Answer: B. 17 cards

    Explanation: Using 1 yard = 36 inches
    8 yard = 36 * 8 = 288 inches
    Therefore,



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