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The circumference of a circle is 176 cm. What is its diameter?
Let r be the radius of the circle.
2π r = 176.
Diameter = 28 × 2 = 56cm.
If the ratio between the length and perimeter of a rectangle is 1 : 3. What is the ratio of length and breadth of rectangle?
Mr. Tiwari buys some stationaries for Rs. 237.35 and some books for Rs. 509.75. He gave a note of Rs. 1000 to the shopkeeper. How much money he gets from the shopkeeper?
Required money
= 1000 – (237.35 + 509.75)
= 1000 – 747.10 = 252.90
What is the product of additive inverse of (–17) and multiplicative inverse of 85?
Additive inverse of –17 = 17 Multiplicative inverse of 85 = 1/85
By selling apples at the rate of per apple, a shopkeeper gets 420. How many apples does he sell?
No. of apples =
Write the simplified value of 72.09 – 26.83 + 18.96 – 37.24.
72.09 – 26.83 + 18.96 – 37.24
= (72.09 + 18.96) – (26.83 + 37.24)
= 91.05 – 64.07 = 26.98
0.8 × 0.008 × 8.8
A bag contains 50 paise, 25 paise and 10 paise coins in the ratio 5 : 9 : 4 amounting to Rs. 206. What is the difference of the number of 50 paise and number of 25 paise coins?
No. of 50p coins = 5x = 5 × 40 = 200
No. of 25p coins = 9x = 9 × 40 = 360
Difference = 360 – 200 = 160
What is the perimeter of rectangle whose length is 40m and diagonal 41m?
The cost of 6 dozen eggs is Rs 132. How much will 132 eggs cost?
= 22 × 11
= Rs. 242
A number is increased by 10% and then decreased by 10%. What is the net increase or decrease percent?
Let the number be 100.
After 10% increase, number = 100 + 10 = 110 Decrease 10% 110 – 10% of 110 = 110 – 11 = 99
Net decrease = 100 – 99 = 1%
A sum of money lent at simple interest amounts to Rs. 3224 in 2 years and Rs. 4160 in 5 years. What is the rate of interest per amounts?
Let the sum be P.
In the given figure, AB  CD, ∠ABO = 50°, ∠CDO = 40°. What is the measure of ∠BOD?
AB  PQ ∠ABO = ∠BOQ = 50°
PQ  CD ∠ODC = ∠DOQ = 40°
∠BOD = 50° + 40° = 90°
In the given figure x : y = 2 : 3, ∠ACD = 130°.
What is the value of y?
What is the area of a right triangle whose base is 1.2m and hypotenuse 3.7m?
Area of right triangle =
The circumference of a circle exceeds its diameter by 18cm. What is the radius of the circle?
A rope makes 140 rounds of the circumference of a cylinder, the radius of whose base is 14cm. How many times can it go round a cylinder with radius 20cm?
Length of rope = 2πr × 140
Number of rounds =
−39 ÷ 13
⇒ −3
Hence, −39 ÷ 13 = −3
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