PE 3 - Ratio | Arithmetic - Ratio, Proportion & Variation

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1. PE 3 - Ratio | Arithmetic - Ratio, Proportion & Variation

The sum of the present ages of a woman and her daughter is 45 years. When the woman attains her husband’s present age, the ratio of the ages of her husband and her daughter will be 2 : 1. Find the present age (in years) of her daughter.

(a)
18
(b)
15
(c)
20
(d)
12

Directions for next 2 questions : These questions are based on the information given below.

There are two colleges in the town college A and college B. There are 500 more students in college A than in college B. The ratio of the boys to that of the girls in college A is 17 : 11 and that in college B is 9 : 14. The ratio of the number of Computer Science, Electronics and Mechanical students in college A and college B are 3 : 11 : 14 and 8 : 8 : 7 respectively. The number of Mechanical students in A is twice that in B.

2. PE 3 - Ratio | Arithmetic - Ratio, Proportion & Variation

How many students are there in college A?

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3. PE 3 - Ratio | Arithmetic - Ratio, Proportion & Variation

How many girls are there in the two colleges together?

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4. PE 3 - Ratio | Arithmetic - Ratio, Proportion & Variation

If $\frac{p a}{b + c} = \frac{p b}{c + a} = \frac{p c}{a + b}$ = 𝓁, then what is the value of ‘𝓁’ if p ≠ 0, a + b + c ≠ 0

(a)
p
(b)
p/3
(c)
p/2
(d)
p/4

5. PE 3 - Ratio | Arithmetic - Ratio, Proportion & Variation

A bag contains 3 kinds of coins in the following ratios : The number of 5 dollar coins : the number of 2 dollar coin : the number of 1 dollar coins = 3 : 2 : 1. If the total value of the coins is Dollar 240 only, find the number of 1 dollar coins.

(a)
11
(b)
12
(c)
13
(d)
14

6. PE 3 - Ratio | Arithmetic - Ratio, Proportion & Variation

The monthly telephone bill has a fixed tariff for upto 100 outgoing calls. Outgoing call in excess of 100 are charged at a certain fixed rate per call. The monthly bills of Rajesh and Suraj who made 196 outgoing calls and 436 outgoing calls respectively were Rs. 600 and Rs. 900 respectively. Find the monthly bill for a person who has made 320 outgoing calls (in Rs. )

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7. PE 3 - Ratio | Arithmetic - Ratio, Proportion & Variation

P varies directly as the sum of the two quantities Q and R. Q in turn varies directly as x and R varies inversely as x. When x = 4, P = 12 and when x = 8, P = 18. Find the value of P when x = 16.

(a)
24
(b)
27
(c)
32
(d)
33

Answer the next 2 questions based on the information given below.

In CAT exam, there are 3 sections containing 24, 22 and 24 questions respectively. Each question carries 3 marks each. Wrong answer carries 1 negative mark. There is no negative or positive marking for an un attempted question. A student attempted the questions from sections A, B and C in the ratio 8 : 6 : 7. The numbers of correct answers are in the ratio 11 : 9 : 8, respectively. The student got 64 marks in section A.

8. PE 3 - Ratio | Arithmetic - Ratio, Proportion & Variation

How many marks will he get in section B?

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9. PE 3 - Ratio | Arithmetic - Ratio, Proportion & Variation

How many marks will the student get in section C?

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10. PE 3 - Ratio | Arithmetic - Ratio, Proportion & Variation

If a, b and c are in continued proportion, then which of the following equals a : c?

(a)
a² : b²
(b)
(c² – b²) : (b² – a²)
(c)
b² : c²
(d)
More than one of theabove
(e)
All of (a), (b) and (c)

PE 3 - Ratio | Arithmetic - Ratio, Proportion & Variation

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