Algebra word Problems(LEVEL - 1 )
Q1–10 of 50How many boxes are required for filling 15 kg of sweet if each box is filled with 250 grams of sweet?
Boxes required for sweets
Calculation: Total sweets $= 15\text{ kg} = 15,000\text{ g}$. Each box holds $250\text{ g}$.
$$\text{Number of boxes} = \frac{15000}{250} = 60$$Correct Answer: (d) None of these (60)
The bus fare for one person is ₹ 420 from Agra to Aligarh and the train fare between the same places for one person is equal to three-fourths the bus fare for two persons between the same places. What is the total fare paid by 3 persons travelling by bus and 4 persons travelling by train between the two places?
Calculation: Bus fare for 1 person $= ₹420$.
Bus fare for 2 persons $= ₹840$.
Train fare for 1 person $= \frac{3}{4} \times 840 = ₹630$.
Total fare $= (3 \times 420) + (4 \times 630) = 1260 + 2520 = ₹3780$.
Correct Answer: (d) None of these
The cost of 6 pens and 3 pencils is ₹ 84. One-third of the cost of one pen is equal to the cost of one pencil. What is the total cost of 4 pens and 5 pencils?
Calculation: Let pen $= p$, pencil $= c$. Given $\frac{1}{3}p = c \implies p = 3c$.
$6p + 3c = 84 \implies 6(3c) + 3c = 84 \implies 21c = 84 \implies c = 4$.
Then $p = 3(4) = 12$.
Cost of 4 pens and 5 pencils $= 4(12) + 5(4) = 48 + 20 = ₹68$.
Correct Answer: (b) ₹68
If an amount of ₹ 4,36,563 is distributed equally amongst 69 persons, how much amount would each person get?
Calculation: $\frac{4,36,563}{69} = ₹6327$ per person.
Correct Answer: (c) ₹6327 (Note: Answer key listed (d), but direct calculation yields (c) ₹6327).
32 shirt pieces of 120 cm each can be cut from a reel of cloth. After cutting these pieces 80 cm of cloth remains. What is the length of reel of cloth in metres?
Calculation: Cloth used $= 32 \times 120\text{ cm} = 3840\text{ cm}$.
Remaining $= 80\text{ cm}$.
Total length $= 3840 + 80 = 3920\text{ cm} = 39.20\text{ metres}$.
Correct Answer: (b) 39.20 metres
A canteen requires 798 bananas for a week. Total how many bananas did it require for the months of January, February and March 2008?
Calculation: Daily requirement $= \frac{798}{7} = 114\text{ bananas}$.
Year 2008 was a leap year. Days: Jan (31) + Feb (29) + Mar (31) $= 91\text{ days}$.
Total bananas $= 91 \times 114 = 10,374$.
Correct Answer: (b) 10374
Ram has ₹ 6 more than Mohan and ₹ 9 more than Sohan. All the three have ₹ 33 in all. Ram has a share of
Calculation: Let Ram $= R$, Mohan $= R - 6$, Sohan $= R - 9$.
$R + (R - 6) + (R - 9) = 33 \implies 3R - 15 = 33 \implies 3R = 48 \implies R = ₹16$.
Correct Answer: (d) ₹16
What is the maximum number of half-pint bottles of cream that can be filled with a 4-gallon can of cream?
(2 pt. = 1 qt. and 4 qt. = 1 gal.)
Half-pint bottles from 4 gallons
Calculation: $1\text{ gal} = 4\text{ qt} = 8\text{ pt}$ $\implies 1\text{ gal} = 16\text{ half-pints}$.
$4\text{ gallons} = 4 \times 16 = 64\text{ half-pint bottles}$.
Correct Answer: (d) 64
The sum of the weights of A and B is 80 kg. Half of the weight of A is equal to 5/6 times the weight of B. Find the weight of B.
Calculation: $A + B = 80$.
$\frac{1}{2}A = \frac{5}{6}B \implies A = \frac{5}{3}B$.
$\frac{5}{3}B + B = 80 \implies \frac{8}{3}B = 80 \implies B = 30\text{ kg}$.
Correct Answer: (b) 30 kg
a is greater than b by 2 and b is greater than c by 10. If a+b+c=130, then (b+c)−a=?
Calculation: $a = b + 2$ and $c = b - 10$.
$(b+2) + b + (b-10) = 130 \implies 3b - 8 = 130 \implies 3b = 138 \implies b = 46$.
$a = 48$, $c = 36$.
$(b+c)-a = (46 + 36) - 48 = 82 - 48 = 34$.
Correct Answer: (a) 34