ratio proportion and partnership Model Questions & Answers, Practice Test for ssc mts paper 1 2023
ssc mts paper 1 2023 SYLLABUS WISE SUBJECTS MCQs
Number System
LCM & HCF
Ratio Proportion & Partnership
Percentages
Profit & Loss
Time & Work
Time & Distance
Simple Interest & Compound Interest
Mensuration: Area & Volumes
Algebraic Expressions
Trigonometric Ratios & Identity
The ratio of age of two boys is 5 : 6 after two years the ratio will be 7 : 8. The ratio of their ages after 12 years will be
Answer: (d)
Let the ages be x & y.
$x/y=5/6$ or
6x – 5y = 0 ...(i)
${x+2}/{y+2}=7/8$
8x + 16 = 7y + 14
8x – 7y = – 2 ...(ii)
On equating (i) & (ii), we get
x = 5 & y = 6
After 12 years
x = 17 y = 18
Ratio = 17 : 18
The ratio of ducks and frogs in a pond is 37 : 39 respectively. The average number of ducks and frogs in the pond is 152. What is the number of frogs in the pond?
Answer: (b)
Total number of ducks and frogs = 152 × 2 = 304
No. of frogs = $304×39/76$ = 156
A sum of money is to be divided among Z, X, Y in the respective proportion of 4:5:6 and another sum to be divided between A and B equally. If Z got Rs. 2000 less than A, how much did X get?
Answer: (d)
A sum of money is be distributed among A, B, C, D in the proportion of 5 : 2 : 4 : 3. If C gets Rs. 1000 more than D, what is B's share?
Answer: (b)
Let the shares of A, B, C and D be Rs. 5x, Rs. 2x, Rs. 4x and Rs. 3x respectively.
∴ B's share = Rs. 2x = Rs. (2 × 1000) = Rs. 2000.
80% of a number is equal to three-fifth of another number. What is the ratio between the first and the second number respectively?
Answer: (a)
Let the numbers be x and y.
${80x}/100 = {3y}/5$
$x/y=3/5×100/80=3:4$
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