ratio and proportion Model Questions & Answers, Practice Test for ssc steno grade c d 2024
ssc steno grade c d 2024 SYLLABUS WISE SUBJECTS MCQs
Number System
Simplification
Power, Indices And Surds
Ratio & Proportion
Percentage
Time & Work
Time & Distance
Mensuration
A chemist has 10 litres of a solution that is 10 per cent nitric acid by volume. He wants to dilute the solution to 4 per cent strength by adding water. How many litres of water must he add ?
Answer: (c)
Out of 10 litre of solution, there is 1 litres of nitric acid and 9 litres of water.
Let x litres of water be added to the solution so that the diluted solution is of 4% strength.
∴ 4% of (10 + x) = 1⇒x = 15.
Five litres of water is added to a certain quantity of pure milk costing Rs 3 per litre. If by selling the mixture at the same price as before, a profit of 20% is made, what is the amount of pure milk in the mixture ?
Answer: (a)
Here, S.P. of mixture = C. P. of pure milk = Rs 3 per litre
Now, S. P. of mixture = ${100 + 20}/{100}$ × C.P. of mixture
⇒C.P. of mixture = ${3 × 100}/{120}$ = Rs 2.5 per litre
Also, C. P of water = Rs 0
By the rule of alligation :
∴ Ratio of pure milk and water in mixture = ${2.5}/{0.5}$ = 5:1
For five litres of water, quantity of pure milk
= 5 × 5 = 25 litres
6 years hence a father's age will be three times his son's age and three years ago father was nine times as old as his son. What is the present age of father?
Answer: (d)
Let the age of son and father is x and 3x years respectively 6 years hence.
∴ Present age of father = (3x – 6) years
Present age of son = (x – 6) years
3 years ago, age of father = 3x – 6 – 3
= (3x – 9) years
Age of son = x – 6 – 3 = (x – 9) years
According to given condition,
3x – 9 = 9(x – 9)⇒3x – 9 = 9x – 81
⇒81 – 9 = 9x – 3x⇒6x = 72
∴ x = ${72}/6$ = 12
∴ Present age of father = 3 × 12 – 6 = 30 years
The population of two villages is 1525 and 2600 respectively. If the ratio of male to female population in the first village is 27 : 34 and the ratio of male to female population in the second village is 6 : 7, then what is the ratio of male to female population of these two villages taken together?
Answer: (d)
${\text"Male"}/{\text"Total"} = {{1525 × 27}/{61} + {2600 × 6}/{13}}/{1525 + 2600} = {1875}/{4125} = 5/{11}$
∴ ${\text"Male"}/{\text"Female"} = 5/{11 - 5} = 5/6$
If a : b = 1$1/2 : 2 1/4$ and b : c = 2:3 $1/2$ , then what is a : b : c equal to ?
Answer: (b)
a : b = $3/2 : 9/4 and b : c = 2 : 7/2$
⇒a : b = 6 : 9 and b : c = 4 : 7
LCM of 9 and 4 = 36
⇒a : b = 24 : 36 and b : c = 36 : 63
∴ a : b : c = 24 : 36 : 63
⇒a : b : c = 8 : 12 : 21
ssc steno grade c d 2024 IMPORTANT QUESTION AND ANSWERS
-
Number System Questions Test PDF For SSC STENO C & D 2024 »
-
SSC STENO: Time & Work Questions Solved Problems with PDF »
-
SSC STENO: Speed Time and Distance MCQ Questions Test PDF »
-
SSC STENO: Mensuration Area & Volume Questions Test PDF »
-
Free Ratio & Proportion MCQ Test for SSC STENO 2024 Exam »
-
Free Percentage Questions Answers for SSC STENO 2024 Exam »
-
Simplification Questions Test PDF For SSC STENO C, D 2024 »
-
Free Surds and Indices MCQ Test PDF | SSC Steno 2024 Exam »
ssc steno grade c d 2024TOPICS
Read More
All Exams
-
SSC
»
Model MCQ Test [Syllabus Wise], Syllabus, Notification -
BANKING
»
Model MCQ Test [Syllabus Wise], Syllabus, Notification -
TNPSC
»
Model MCQ Test [Syllabus Wise], Syllabus, Notification
RECENT BLOGS
Recently Added Subject & Categories For All Competitive Exams
100+ Quadratic Equation Questions Answers PDF for Bank
Quadratic Equation multiple choice questions with detailed answers for IBPS RRB SO. more than 250 Attitude practice test exercises for all competitive exams
Continue Reading »
IBPS Aptitude Linear Equations MCQ Questions Answers PDF
Linear equations multiple choice questions with detailed answers for IBPS RRB SO. more than 250 Attitude practice test exercises for all competitive exams
Continue Reading »
New 100+ Compound Interest MCQ with Answers PDF for IBPS
Compound Interest verbal ability questions and answers solutions with PDF for IBPS RRB PO. Aptitude Objective MCQ Practice Exercises all competitive exams
Continue Reading »
100+ Mixture and Alligation MCQ Questions PDF for IBPS
Most importantly Mixture and Alligation multiple choice questions and answers with PDF for IBPS RRB PO. Aptitude MCQ Practice Exercises all Bank Exams
Continue Reading »