The parallel sides of a trapezium are in a ratio 2 : 3 and their shortest distance is 12 cm. If the area of the trapezium is 480 sq. cm., the longer of the parallel sides is of length?
(A) 56 cm
(B) 36 cm
(C) 42 cm
(D) 48 cm
The LCM of two numbers is 495 and their HCF is 5. If the sum of the numbers is 100, then their difference is-
(A) 10
(B) 46
(C) 70
(D) 90
64329 is divided by a certain number. While dividing, the numbers, 175, 114 and 213 appear as three successive remainders. The divisor is?
(A) 184
(B) 224
(C) 234
(D) 296
Number at (i) = 643 – 175 = 468
Number at (ii) = 1752 – 114 = 1638
Number at (iii) = 1149 – 213 = 936
Clearly, 468, 1638 and 936 are multiples of 234 and 234 > 213.
Divisor = 234
When a number is divided by 893, the remainder is 193. What will be the remainder when it is divided by 47?
(A) 3
(B) 5
(C) 25
(D) 33
Here, 893 is exactly divisible by 47.
Hence, the required remainder is obtained on dividing 193 by 47.
∴ Remainder = 5
In measuring the sides of a rectangle, there is an excess of 5% on one side and 2% deficit on the other. Then the error percent in the area is?
(A) 3.3%
(B) 3.0%
(C) 2.9%
(D) 2.7%
LCM of two numbers is 225 and their HCF is 5. If one number is 25, the other number will be?
(A) 5
(B) 25
(C) 45
(D) 225
A number when divided by 91 gives a remainder 17 When the same number is divided by 13, the remainder will be:
(A) 0
(B) 4
(C) 6
(D) 3
In the product 3759 × 9573, the sum of tens' digit and units' digit is
(A) 0
(B) 7
(C) 9
(D) 16
A fruit seller bought bananas at the rate of 6 for ₹ 15 and sold them at the rate of 4 for ₹ 12, find his profit or loss percentage.
(A) 17%
(B) 19%
(C) 20%
(D) 22%
To find the profit or loss percentage, we first need to calculate the cost price (CP) and the selling price (SP) of the bananas.
Given: Cost price of 6 bananas = ₹ 15 So, cost price of 1 banana = ₹ 15 / 6 = ₹ 2.50
Now, let's calculate the selling price: Selling price of 4 bananas = ₹ 12 So, selling price of 1 banana = ₹ 12 / 4 = ₹ 3.00
Now, we can compare the CP and SP to determine the profit or loss.
If SP > CP, it's a profit. If SP < CP, it's a loss.
Here, CP = ₹ 2.50 SP = ₹ 3.00
So, it's a profit of ₹ 0.50 per banana.
To find the profit percentage: Profit per banana / CP per banana * 100%
Profit per banana = ₹ 3.00 - ₹ 2.50 = ₹ 0.50
Profit percentage = (0.50 / 2.50) * 100% = 20%
Therefore, the fruit seller made a profit of 20%.
Which of the following statement (s) is/are true?
I. 2 is a prime number
II. 4 is a composite number.
(A) Only I
(B) Only II
(C) Both I and II
(D) Neither I nor II
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