SBI CLERK
17:45
Quant Mix Set 5 (with Detailed Solutions)
Quant questions for SBI Clerk 2018,SBI PO 2018,SYNDICATE Bank PO,CANARA Bank Po,RBI Assistant.
Showing posts with label Math Warehouse. Show all posts
Showing posts with label Math Warehouse. Show all posts
Thursday, 8 February 2018
Quant questions for SBI Clerk 2018,SBI PO 2018,SYNDICATE Bank PO,CANARA Bank Po,RBI Assistant.
Wednesday, 7 February 2018
SBI CLERK
17:58
Quant Mix 4 (with Detailed solutions)
Quant questions for SBI Clerk 2018,SBI PO 2018,SYNDICATE Bank PO,CANARA Bank Po,RBI Assistant.
Wednesday, 31 January 2018
SBI CLERK
17:37
QUANT Mix - 03 (with Detailed solutions)
SBI CLERK 2018 IMPORTANT QUANT QUESTIONS
Friday, 29 December 2017
Punjab state Exams
00:52
PIPES & CISTERN PART 1 NEW PATTERN (with Detailed Solutions)
New Pattern PIPES & CISTERN QUESTIONS for IBPS PRE,IBPS MAINS,IBPS SO,SSC CGL,FCI,PSSB Exams,Punjab Kanongo exams
Saturday, 23 December 2017
Punjab state Exams
06:43
MIXED QUANT SET 1
MIXED QUANT QUESTIONS FOR BANK,SSC, PSSB EXAMS,PSPCL LDC,PSPCL JE,PUNJAB KANNONGO,PUNJAB EXCISE INSPECTOR
Saturday, 2 December 2017
Study Plan
01:55
Quantitative Aptitude Questions Asked in IBPS Clerk Prelims 2017 (With Answers)
1). Ratio of speed of boat down stream and speed of up stream is 9:3, speed of current is 3 km per hr, find distance travelled upstream in 5 hours.
Friday, 27 October 2017
Math Warehouse
08:48
Time and Distance questions Set 1(Hard)
1.A man goes to the fair with his and dog. Unfortunately man misses his son which he realizes 20 minutes later. The son comes back towards his home at the speed of 20 m/min and man follows him at 40 m/min. The dog runs to son and comes back to the man to show him the direction of his son. He keeps moving to and fro at 60 m/min between son and father, till the man meets the son. What is the distance traveled by the dog in the direction of the son?
Sunday, 28 May 2017
Math Warehouse
01:13
Ratio
Basic Concept of Ratios
Basic Concept of Ratios
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We will discuss here about the basic concept of ratios.
Definition: The ratio of two like quantities a and b is the fraction , which indicates how many times b is the quantity a. In other words, their ratio indicates their relative sizes.
If x and y are two quantities of the same kind and with the same units such that y ≠ 0; then the quotient is called the ratio between x and y.
Let the weights of two persons be 40 kg and 80 kg. Clearly, the weight of the second person is double the weight of the first person because 80 kg = 2 × 40 kg.
Therefore, = = .
We say, the ratio of the weight of the first person to the weight of the second person is or 1 : 2.
The ratio of two like quantities a and b is the quotient a ÷ b, and it is written as a : b (read a is to b).
In the ratio a : b, a and b are called terms of the ratio, a is called the antecedent or first term, and b is called the consequent or second term. Then, ratio of two quantities = antecedent : consequent.
Example: The ratio of heights of two persons A and B whose heights are 6 ft and 5 ft is , i.e., or 6 : 5. Here, 6 is the antecedent and 5 is the consequent.
Important Properties of Ratios
Some of the important properties of ratios are discussed here.
1. Ratio has no unit and can be written as m : n (read as m is to n).
2. The quantities m and n are called terms of the ratio. The first quantity m is called the first term or the antecedent and the second quantity n is called the second term or the consequent of the ratio m : n.
The second term of a ratio cannot be zero.
i.e., (i) In the ratio m : n, the second term n cannot be zero (n ≠ 0).
(ii) In the ratio n : m, the second term cannot be zero (m ≠ 0).
3. The ratio of two unlike quantities is not defined. For example, the ratio between 5 kg and 15 meters cannot be found.
4. Ratio is a pure number and does not have any unit.
5. If both the terms of a ratio are multiplied by the same non-zero number, the ratio remains unchanged.
If two terms of a ratio be multiplied by any number except zero, then there is no change in the value of the ratio because; m : n = = = km : kn
If both the terms of a ratio are divided by the same non-zero number, the ratio remains unchanged.
m : n = = = : , (k ≠ 0)
In other words, the ratio of m and n is the same as the ratio of the quantities km and kn, or and , where k ≠ 0.
6. If two quantities are in the ratio m : n then the quantities will be of the form m ∙ k and n ∙ k, where k is nay number, k ≠ 0. Thus, if the ratio of two quantities x and y is 3 : 4, x and y can be 6 and 8 (k = 2), 9 and 12 (k = 3), and so on.
7. If m is k % of n then the ratio m : n = k : 100. Also, if m : n = p : q then m = × 100% of n = × n.
8. A ratio must always be expressed in its lowest terms.
The ratio is in its lowest terms, if the H.C.F. of its both the terms is 1 (unity).
For example;
(i) The ratio 3 : 7 is in its lowest terms as the H.C.F. of its terms 3 and 7 is 1.
(ii) The ratio 4 : 20 is not in its lowest terms as the H.C.F. of its terms 4 and 20 is 4 and not 1.
9. Ratios m : n and n : m cannot be equal unless m = n
i.e. m : n ≠ n : m, unless m = n
In other words, the order of the terms in a ratio is important.
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