53 SSC CGL Quantitative Aptitude previous year questions on Ratio and Proportion — options free on every question; 5 include the answer & explanation free, the rest unlock with PYQ Pass.
Q1 FREE PREVIEW
PYQ
If the three numbers in the ratio 3:2:5 be such that the sum of the squares is equal to 1862 then which number is the middle one.
a16
b14
c13
d15
✓ Correct answer: b) 14
ExplanationCalculation Three number are in ratio Three numbers ar 3x ,2x, 5x Now, x = 7 Middle number = 2x = 27 = 14 Hence the correct Option is Option B i.e, 14
Q2 FREE PREVIEW
PYQ
What is the fourth proportional to 72, 168 and 150?
a450
b300
c350
d400
✓ Correct answer: c) 350
ExplanationGiven, Three proportional are 72, 168 and 150 Let, fourth proportional = a We know if four are proportional, then Hence, Option C is the correct answer.
Q3 FREE PREVIEW
PYQ
What is the third proportional to 10 and 25?
a125
b150
c62.5
d225
✓ Correct answer: c) 62.5
ExplanationGiven, First proportional = 10 Second proportional = 25 Therefore, third proportional = Hence, Option C is the correct answer.
Q4 FREE PREVIEW
PYQ
D and E are points on side AB and AC of △ABC. DE is parallel to BC. If AD:DB = 1 : 4 and area of △ADE is 6 sq cm, what is the ratio of area of △ADE : area of quadrilateral BDEC?
a1: 12
b1: 6
c1: 16
d1: 24
✓ Correct answer: d) 1: 24
Explanation| | SSC Let, AD = x and DB = 4x AB = AD+DB = 5x The ratio of the area of similar triangles is equal to the square of the ratio of their corresponding sides.Ar(ABC) = 150 sq cm Area of quadrilateral BDEC = Area of ABC - Area of ADE = 150 - 6 = 144 sq cm Area of ADE/Area of quadrilateral BDEC = Hence, Option D is the correct answer.
Q5 FREE PREVIEW
PYQ
10 women can do a piece of work in 6 days, 6 men can do the same work in 5 days and 8 children can do it in 10 days. What is the ratio of the efficiency of a woman, a man and a child respectively?
a4 : 6 : 3
b4 : 5 : 3
c2 : 4 : 3
d4 : 8 : 3
✓ Correct answer: d) 4 : 8 : 3
Explanation1 woman can do work in 1 day = 1 man can do work in 1 day = 1 child can do work in 1 day = The ratio of their efficiencies Hence, Option D is the correct answer.
Q6
PYQ
D and E are points on side AB and AC of ΔABC. DE is parallel to BC. If AD : DB = 2 : 5 and area of ΔADE is 8 sq cm, what is the ratio of area of ΔADE: area of quadrilateral BDEC?
a4 : 45
b45 : 4
c8 : 45
d45 : 8
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Q7
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The measure of the four successive angles of a quadrilateral are in the ratio 7 : 11 : 7 :11. The quadrilateral is a ____.
atrapezium
brectangle
cparallelogram
dsquare
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Q8
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A company, at the time of inflation, reduced the staff in the ratio 5 : 3 and average salary per employee was increased in the ratio 7 :8. By doing so, the company saved Rs. 55000. What was the initial expenditure (in Rs) of the company?
a155000
b160000
c175000
d215000
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Q9
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Price of a diamond is directly proportional to square of its weight. A man broke the diamond accidently in three pieces in the ratio of 3 : 5 : 7 and thus loses Rs 42600 . What was the original price (in Rs) of the diamond?
a11786
b60000
c67500
d75000
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Q10
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When x is subtracted from each of 21,22,60 and 64 , the numbers so obtained, in this order, are in proportion. What is the mean proportional between (x+1) and (7x+8)?
a27
b18
c24
d21
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Q11
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Two numbers are in the ratio . If 13 is subtracted from each, the new numbers are in the ratio . If 15 is added to each of the original numbers, then the ratio becomes:
a23 : 33
b4 : 5
c24 : 35
d5 : 7
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Q12
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The total number of students in a class is 65 . If the total number of girls in the class is 35 , then the ratio of the total number of boys to the total number of girls is:
a7: 6
b6: 7
c13: 7
d7: 13
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Q13
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The ratio of the number of boys to the number of girls in a school of 640 students, is 5:3. If 30 more girls are admitted in the school, then how many more boys should be admitted so that the ratio of boys to that of the girls, becomes 14: 9.
a15
b30
c20
d25
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Q14
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If x is the mean proportional between 12.8 and 64.8 and y is the third proportional to 38.4 and 57.6 , then 2x: y is equal to:
a2: 3
b1: 2
c3: 4
d4: 5
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Q15
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A sum of money was lent in two parts in the ratio 4 : 5 for 4 years and 5 years respectively, both at the rate of 8% per annum simple interest. If the difference between the interests earned from the two parts is ₹ 4680, then what was the total sum lent (in ₹)?
a65000
b58500
c42120
d46800
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Q16
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Ratio of the present age of a mother to that of the daughter is 7 :1. After 5 years the ratio will become 4 :1. What is the difference (in years) in their present ages?
a28
b31
c30
d29
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Q17
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When x is subtracted from each of the numbers 54, 49, 22 and 21, the numbers obtained are in proportion. The ratio of (8x-25) to (7x-26) is:
a5 : 4
b27 : 26
c29 : 24
d15 : 13
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Q18
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Find the ratio between the fourth proportional of 12, 16, 6 and the third proportional of 4, 6.
a3 : 2
b4 : 3
c11 : 5
d8 : 9
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Q19
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Monthly salaries of Anil and Kumud are in the ratio 19 :17. If Anil and Kunud get salary hikes of ₹ 2000 and ₹ 1000 respectively, then the ratio in their salaries becomes 8 : 7 . What is the present salary of Kumud (in ₹)?
a18000
b35000
c38000
d34000
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Q20
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If length of a rectangle is increased to its three times and breadth is decreased to its half, then the ratio of the area of given rectangle to the area of new rectangle is:
a3 : 1
b2 : 3
c3 : 2
d1 : 3
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Q21
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In a class the ratio of rural to urban students is 4 :7. In an examination the average percentage marks of the rural and the urban students are respectively 65 and 63 . What is the overall average percentage marks of the class (correct to two decimal places)?
a64.37%
b73.63%
c63.73%
d65.87%
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Q22
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Two numbers are in the ratio 2 :3. If 5 is subtracted from the first number and six is added to the second number, then the ratio becomes 5 :12. What would the ratio become when eight is added to each number?
a14 : 11
b14 : 19
c11 : 14
d19 : 14
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Q23
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What is the difference in the mean proportional between 1.8 and 3.2 and the third proportional to 5 and 3?
a0.5
b0.4
c0.7
d0.6
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Q24
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If x is subtracted from each of 24, 40, 33 and 57, the numbers, so obtained are in proportion. The ratio of (5x+12) to (4x+15) is:
a7 : 4
b4 : 3
c14 : 13
d7 : 5
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Q25
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The fourth proportional to 16 and 26 and 32 is:
a16
b52
c54
d24
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Q26
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The sum of three numbers is 98 . If the ratio of the first to the second is 2 : 3 and that of the second to the third is 5 : 8 , then the third number is:
a48
b30
c20
d49
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Q27
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Find the fourth proportional to the numbers 17,272 and 19.
a332
b323
c403
d304
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Q28
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The ratio of the present ages of Ram and Ramesh is 3:5. After 7 years the ratio of their ages will be 2:3. Find the present age of Ramesh.
a35 years
b45 years
c37 years
d32 years
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Q29
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The ratio of the monthly incomes of A and B is 11 : 13 and the ratio of their expenditures is 9 :11. If both of them manage to save ₹ 4,000 per month, then find the difference in their incomes (in ₹).
a2,500
b3,200
c4,000
d3,000
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Q30
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The ratio of the profits of P and Q is 5 :8. What is their investment ratio, if their investment time period ratio is 3 : 5?
a13 : 25
b12 :25
c24 :25
d25 : 24
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Q31
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Three years ago, the ratio of the age of father to that of his son was 8:3. After 4 years, their ages will be in the ratio 11 :5. What is the present age (in years) of the father?
a52
b51
c48
d55
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Q32
PYQ
The ratio of the present age of father to that of his son is 7 :2. If after 10 years the ratio of their ages will become 9: 4, then the present age of the father is:
a43 years
b35 years
c37 years
d40 years
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Q33
PYQ
What is the ratio of the fourth proportional of 2, 5, 6 and the fourth proportional of 6, 8, 9 ?
a3 : 2
b5 : 3
c3 : 4
d5 :4
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Q34
PYQ
The cost of a piece of diamond varies with the square of its weight. A diamond of Rs. 6,084 is cut into 3 pieces whose weights are in the ratio . Find the loss involved in the cutting.
aRs. 3,768
bRs. 3,718
cRs. 3,168
dRs. 3,518
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Q35
PYQ
If p is the third proportional to 8, 20 and q is the fourth proportional to 3, 5, 24, then find the value of (2p + q).
a140
b126
c90
d104
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Q36
PYQ
The number of books on Mathematics, Physics, and Chemistry in a University library is in the ratio 8 : 5 :9. There is a proposal to increase these books by 10%, 5%, and 5% respectively. What will be the ratio of the number of books after the increment?
a212 : 117 : 47
b37 : 47 : 83
c176 : 105 : 189
d189 : 115 : 117
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Q37
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In a school, of the number of students are girls and the rest are boys. One-third of the number of boys are below 10 years and of the number of girls are also below 10 years. If the number of students of age 10 or more years is 260, then the number of boys in the school is:
a312
b234
c300
d280
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Q38
PYQ
If the volume of a sphere is equal to that of a cylinder having the same radius, then find the ratio of the radius to the height of the cylinder.
a1 : 2
b2 : 3
c3 : 4
d3 : 5
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Q39
PYQ
If the angles of a triangle are in the ratio of 1 : 2 : 3, what is the type of such triangle?
aIsosceles triangle
bEquilateral triangle
cRight-angle triangle
dObtuse- angle triangle
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Q40
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Mother told her daughter, "Seven years ago, I was seven times as old as you were then. Also, three years from now, I shall be three times as old as you will be". Find the present ages of the mother and the daughter, respectively.
a45 ; 15
b40 ; 10
c42 ; 12
d50 ; 20
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Q41
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The present age of Rahim is five times the present age of his daughter, Savita. Seven years from now, Rahim will be three times as old as Savita. What is the present age (in years) of Rahim?
a45
b35
c40
d30
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Q42
PYQ
Sohan’s initial expenditure and savings were in the ratio of 5 :3. His income increases by 25%. If his initial savings were ₹4,500, find his income (in ₹) after the increment.
a16000
b15000
c9375
d12000
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Q43
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Avinash's monthly salary is ₹50,000 and his monthly expenditure is ₹18,000. Radha's monthly salary is ₹60,000 and her monthly expenditure is ₹24,000. Find the ratio of Radha's savings to Avinash's saving's.
a9 : 8
b9 : 7
c6 : 5
d8 : 7
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Q44
PYQ
The ratio of marks obtained by Rajesh, Rakesh and Ramesh in an exam is 2 : 4 :9. What are the marks obtained by Rakesh and Ramesh, if Rajesh scored 30 marks in the exam?
aRakesh = 40, Ramesh = 90
bRakesh = 60, Ramesh = 135
cRakesh = 120, Ramesh = 180
dRakesh = 90, Ramesh = 40
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Q45
PYQ
At a certain time in a park, the number of heads and the number of legs of monkeys and human visitors were counted, and it was found that there were 54 heads and 148 legs. Find the number of monkeys in the park.
a20
b16
c18
d14
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Q46
PYQ
The ratio of the number of boys in a school to the total number of boys and girls in that school is (7: 17). If the number of boys in that school is 1099 , then how many girls are there in that school?
a1570
b1580
c1560
d1550
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Q47
PYQ
The sides of two similar triangles are in the ratio 5:7. The areas of these triangles are in the ratio:
a35: 49
b15: 49
c25: 49
d36: 49
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Q48
PYQ
Rini has mixed two colours ' ' and ' ' in the ratio . If the rate of the colour ' ' is per unit and she is selling the mixture of the two colours at per unit at breakeven price, then what is the rate (in ₹) per unit of the second colour, that is, ' '?
a750
b725
c760
d765
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Q49
PYQ
Two numbers are, respectively, and more than the third number. The ratio of the two numbers is:
a22: 25
b19: 25
c23: 25
d18 : 25
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Q50
PYQ
A 40-litre mixture contains 25% alcohol and 75% water. If 10 litres of water are added to the mixture, the percentage of alcohol in the new mixture is:
a27%
b18%
c20%
d25%
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Q51
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The ratio of the incomes of two employees is 7 : 4, and the ratio of their expenditures is 3 :1. If each of them manages to save ₹4,800 per month, find the sum of their monthly incomes (in ₹).
a21120
b20120
c21150
d18150
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Q52
PYQ
Three numbers are in the ratio . The difference between the smallest and the greatest numbers is 12 . Find the number which is NEITHER the smallest NOR the greatest.
a96
b108
c100
d104
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Q53
PYQ
The ages of Gyanendra and Arbind are in the ratio . If the sum of their ages is 55 years, then what will be the ratio of their ages after seven years from now?
a3: 2
b37: 32
c5: 6
d6: 5
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