objective Ques (130 results)
SSC CGL Mains 20241)A sum of money is to be distributed among 3 friends P, Q and R in the proportion of 5 : 3 : 4 . If P gets₹1,500 more than R, what is Q's share?
₹4,500
SSC CGL Mains 20242)
21 : 10
SSC CGL Mains 20243)Two years ago, the population of a town was 9487500. Due to migration to big cities, it decreases every year at the rate of 8%. The present population of the town is:
8030220
SSC CGL Mains 20244)
12 years
SSC CGL Mains 20245)The ratio of the ages of two friends is 4 : 3 which will become 6 : 5 after 4 years. What will be the sum of their ages (in years) after 22 years from now?
58
6)The value of coins varies directly to the square of its radius, when its thickness is constant. The radius of coin is 1.5 cm and its value is Rs. 2. What will be the radius of coin if its value is Rs 8?
3 cm
7)The ratio of the first and second class train fares between two stations is 3 : 1 and that of the numbers of passengers travelling between the two stations by first and second classes is 1 : 50. If on a particular day Rs 1325 are collected from passengers travelling between the two stations. Then the amount collected from the second-class passengers is
Rs.1250
8)If there is a reduction in the number of workers in a factory in the ratio of 15 : 11 and an increment in their wages in the ratio of 22 : 25, then the ratio by which the total wage of the workers has been decreased is
6 : 5
9)A cat take 5 leaps for every 4 leaps of a dog, but 3 leaps of the dog are equal to the 4 leaps of the cat. What is the ratio of the speeds of the cat to that of the dog?
15 : 16
10)Three persons walk from place A to place B. Their speeds are in the ratio 4 : 3: 5. The ratio of the time taken by them to reach B will be:
15 : 20 : 12
11)How many sides doe a regular polygon have whose interior and exterior angles are in the ratio 2 : 1 ?
6
12)The income of A, B and C are in the ratio 7 : 9 : 12 and their spendings are in the ratio 8 : 9 : 15. If A saves ¼ th of his income, then find the ratio of savings of A, B & C
56 : 99 : 69
13)The income of Ram & Shyam are in the ratio 4 : 3 and their expenditure are in the ratio 3 : 2. If each save Rs 2500. What are their income (in Rs.)?
10000 and 7500
14)A box contains Rs 56 in the form of coins of one- rupee, 50 paise and 25 paise. The number of 50 paise coins is double the number of 25 paise coins and four times the number of one-rupee coins. How many 50 paise coins are there in the box?
64
15)A bag contains three types of coins one-rupee coins, 50 paise coins & 25 paise coins totaling 175 coins. If the total value of the coins of each kind be the same. Then what is the total amount in bag?
Rs.75
16)A boy has few coins of denominations 50 paise, 25 paise and 10 paise in the ratio 1 : 2 : 3. If the total amount of the coins is Rs 6.50. Find the number of 10 paise coin.
15
17)If 378 coins consist of one rupee, 50 paise and 25 paise coins, whose value are in the ratio 13 : 11 : 7. Then find the number of 50 paise coins?
132
18)If three cities A, B and C are located such that when marked in map of scale 1 : 6000000 forms a rt triangle rt angled at city B, cities being at vertices of triangle. If distance between the city A and C in the map 5 cm and actual distance between the city A and B is 180 km. Then what is the actual distance between city B & C in kms?
240 km
19)If x runs are scored by A, y runs by B and z runs by C, then x : y = y : z = 3 : 2. If total number of runs scored by A, B and C is 342, the runs scored by each would be respectively
162, 108, 72
20)A, B & C have 40, x & y balls with them respectively. IF B gives 20 balls to A, he is left with half as many balls as C. If together they have 240 balls. Find x : y
2 : 3
, Avg: 00:38 , 28%✓21)A cat take 5 leaps for every 4 leaps of a dog, but 3 leaps of the dog are equal to the 4 leaps of the cat. What is the ratio of the speeds of the cat to that of the dog?
15 : 16
22)A man ordered 4 pairs of black socks and some pairs of brown socks. The price of a black socks is double that of a brown pair. While preparing the bill clerk interchanged the number of black and brown pairs by mistake, which increases the bill by 50%, Find the ratio of the number of black and brown pairs of socks in the original order.
1 : 4
23)If A : B = 4 : 9 and A : C = 2 : 3 then (A + B) : (B + C) and (3A + C) : (4B - C) is
13 : 15, 3 : 5
24)If a,b, c & d are real number such that a : b = b : c = c : d & a : d = 8 : 125, then find the value of a : c.
4 : 25
25)If 2/3 of A = 75% of B = 0.6 of C, then A : B : C is
9 : 8 : 10
26)If A : B = \( {1 \over 2} : {2 \over 3}\), B : C= \( {3\over 2} : {4 \over 5}\) and C : D = \( {2 \over 3} : {3 \over 5}\) . Then find the value of D : C : B : A
144 : 160 : 300 : 225
27)If \( x^3 – y^3 : x^2 + xy + y^2 = 5 : 1\) and \(x^2 - y^2 : x – y = 7 : 1\), then the ratio of \(2x : 3y \) is equal to
4 : 1
28)If p : q = r : s = t : u = 1 : 2, then find the value of (mp + nr + ot) : (mq + ns + ou)
1 : 2
29)If a : b = 3 : 2, then find the value of \( (2a^2 + 3b^2 ):( 3a^2 – 2b^2)\)
30 : 19
30)If A : B : C = 2 : 3 : 4, then find the value of \({A \over B} : {B \over C} : {C \over A}\)
8 : 9 : 24
31)If a : b : c = 7 : 3 : 5 then find the value of a + b +c : 2a + b – c
5 : 4
SSC CGL 202232)X is directly proportional to the square of Y. When X is 12, then Y is 2. Find the value of X when Y is 3.
27
, Avg: 00:48 , 100%✓ SSC CGL 202233)In a proportion, the 1st, 2nd and 4th terms are 51, 68 and 108, respectively. What is the 3rd term?
81
, Avg: 00:42 , 100%✓ SSC CGL 202234)If the side of an equilateral triangle is 16 cm, then what is its area?
\(64\sqrt3 cm^2\)
, Avg: 01:13 , 100%✓ SSC CGL 202235)Salaries of Rida and Riya are in the ratio of 3 : 5, respectively. If the salary of each one is increased by Rs. 5,000, then the new ratio becomes 5 : 7. What is Riya’s present salary?
Rs. 12,500
SSC CGL 202236)The number of units manufactured by a company A was 12500 units in 2019 and 10625 units in 2020. While in company B, the production fell from 34000 units in 2019 to 30600 units in 2020. If X and Y are the percentage decrease in the number of units manufactured by company A and B respectively from 2019 to 2020, then what will be the ratio of X and Y?
3 : 2
, Avg: 00:49 , 100%✓ SSC CGL 202237)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:
35 years
, Avg: 00:38 , 80%✓ SSC CGL 202238)The ratio of two numbers is 6 ∶ 7 and their HCF is 3. Their LCM is ____ .
126
, Avg: 00:14 , 85%✓ SSC CGL 202239)Find the mean proportional between 25 and 225.
75
, Avg: 00:46 , 100%✓ SSC CGL 202240)The ratio of two numbers is 5 ∶ 4 and their HCF is 4. What is their LCM?
80
, Avg: 00:59 , 60%✓ SSC CGL 202241)What is the ratio of the mean proportional between 1.6 and 3.6 and the third proportional of 5 and 8?
3 ∶ 16
, Avg: 00:14 , 83%✓ SSC CGL 202242)The mean proportion of 169 and 144 is:
156
, Avg: 01:30 , 100%✓ SSC CGL 202243)A, B and C divide an amount of ₹10,500 amount themselves in the ratio 5 : 7 : 9, respectively. If each one gets ₹500 more, then what will be the ratio of the amounts with A,B and C?
3 : 4 : 5
, Avg: 01:10 , 87%✓ SSC CGL 202244)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?
51
, Avg: 00:44 , 84%✓ SSC CGL 202245)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 ?
25 : 24
, Avg: 00:32 , 88%✓ SSC CGL 202246)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:
48
, Avg: 01:45 , 76%✓ SSC CGL 202247)In a factory with 400 employees, the ratio of the number of male employees to that of female employees is 5 ∶ 3. There are 87.5% regular employees in the factory. If 92% of male employees are regular employees, then what is the percentage of regular female employees?
80%
, Avg: 00:41 , 70%✓ SSC CGL 202248)At present, A is younger than B by 8 years. If 4 years ago, their ages were in the ratio 1 ∶ 2, then what is the present age of B (in years)?
20
, Avg: 00:40 , 83%✓ SSC CGL 202249)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).
140
, Avg: 00:50 , 92%✓ SSC CGL 202250)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 Rs. 4,000 per month, then find the difference in their incomes (in Rs.)
4,000
, Avg: 01:30 , 100%✓ SSC CPO 202051)Seven years ago, the ratio of the ages of A and B was 4 : 5. Eight years hence, the ratio of the ages of A and B will be 9 : 10. What is the difference between their present ages in years ?
3
, Avg: 00:35 , 100%✓ SSC CPO 202052)In a ΔABC, the bisector of ∠B and ∠C meet at O in the triangle. If ∠BOC = 134°, then the measure of ∠A is:
88°
, Avg: 00:34 , 100%✓ SSC CPO 202053)The present ages of A and B are in the ratio 3 : 4. Twelve years ago, their ages were in the ratio 2 : 3. The sum of the present ages of A and B (in years) is:
84
, Avg: 00:06 , 100%✓ SSC CPO 202054)A sum of Rs. 8,200 was divided among A, B and C in such a way that A had Rs. 500 more than B and C had Rs. 300 more than A. How much C's share (in Rs.)?
Rs. 3,100
, Avg: 00:57 , 100%✓ SSC CPO 202055)A sum of Rs. 8,200 was divided among A, B and C in such a way that A has Rs. 500 more than B, and C has Rs. 300 more than A. How much was A's share (in Rs.)?
2,800
, Avg: 00:20 , 83%✓ SSC CPO 202056)Two numbers are in the ratio 7 ∶ 11. If their HCF is 28, then the difference between the two numbers is:
112
, Avg: 01:33 , 80%✓ SSC CPO 202057)Seven years ago, the ratio of the ages of A and B was 4 ∶ 5. Eight years hence, the ratio of the ages of A and B will be 9 ∶ 10. What is the sum of their present ages in years?
41 years
SSC Selection Post Matric 202258)The ratio of the incomes of A and B is 3 : 4. The ratio of their expenditure is 7 : 10. If A and B save ₹2,500 and ₹3,000, respectively, then what is the ratio of the income of B to the combined expenditure of A and B?
16 : 17
SSC Selection Post Matric 202259)The ratio of the incomes of A and B is 5 : 7 and their savings are ₹5,000 and ₹9,000, respectively. If the ratio of their expenditures is 3 : 4, then what is the sum of the incomes (in ₹) of A and B?
84,000
, Avg: 00:22 , 72%✓ SSC Selection Post Matric 202260)What is the third proportional to 12 and 54?
243
SSC Selection Post Matric 202261)The ratio of the number of animals in zoo A to the number of animals in zoo B is 6 ∶ 5. If zoo B has 65 animals in the beginning, how many animals must be transferred from zoo A to B so that the ratio of animals in zoo A and zoo B becomes 6 ∶ 7?
12
, Avg: 01:30 , 100%✓ SSC Selection Post Matric 202262)Six years ago, the ratio of A and B was 7 ∶ 8. After 2 years from now, the ratio of their ages will be 9 ∶ 10. What is the sum of the present ages (in years) of A and B?
72
, Avg: 02:44 , 100%✓ SSC Selection Post Matric 202263)What X is added to each of 7, 11, 16, 21, then the numbers so obtained in this order are in proportion. What is the value of x?
29
SSC Selection Post Matric 202264)The incomes of A and B are in the ratio 3 ∶ 7. A and B save Rs. 3,800 and Rs.12,200, respectively. If the ratio of their expenditures is 4 ∶ 9, then what is the difference (in Rs. ) between the income of A and 40% expenditure of B?
7,800
SSC Selection Post Matric 202265)A sum of Rs. x is divided between A, B and C in the ratio \({4\over5}:{2\over3}:{\frac{3}{4}}\). If the share of B is Rs. 2,600, then what is the value of x ?
8,645
, Avg: 01:11 , 100%✓ SSC Selection Post Matric 202266)If a : b = \(2\over3\) and b : c = \(\frac{5}{8}\), then (3a + c) : (4b - c) = ?
3 : 2
SSC Selection Post Matric 202267)What is the ratio of the mean proportional between 1.9 and 17.1 to the third proportional to 1.2 and 4.2?
19 : 49
, Avg: 00:58 , 100%✓ SSC Selection Post Matric 202268)A, B and C are three boxes containing marbles in the ratio 3 ∶ 5 ∶ 7 and the total number of marbles is 150. If 12 marbles are transferred from A to B and 8 marbles are transferred from B to C, then the new ratio of the marbles A ∶ B ∶ C is:
3 ∶ 9 ∶ 13
, Avg: 00:59 , 100%✓ SSC Selection Post Matric 202269)The monthly incomes of A and B are in the ratio 5 ∶ 8, A saves ₹7,400 and B saves ₹6,500 per month. If the ratio of the monthly expenditures of A and B is 1 ∶ 2, then the monthly income (in ₹) of B is:
₹33,200
, Avg: 00:51 , 100%✓ SSC Selection Post Matric 202270)What is b : a, if (5a + b) : (a + b) = 7 : 5?
9 : 1
, Avg: 00:58 , 81%✓ SSC Selection Post Matric 202271)The ratio of the number of boys and girls in a class is 3 : 5. The average score in English of all the boys and girls is 67.5. If the average score of the boys is 60, then what is the average score of the girls?
72
SSC Selection Post Matric 202272)If two cities A and B on a map of scale 1 : 6000000 are 5 cm apart, what is the actual distance (in km) between A and B?
300
, Avg: 01:42 , 83%✓ SSC Selection Post Matric 202273)A certain sum is divided between A, B and C, such that the ratio of shares of A and C is 7 : 5 and that of C and B is 8 : 3. lf the difference between the shares of A and B is Rs 984, then the sum (in Rs) is:
2,664
, Avg: 00:47 , 100%✓ SSC Selection Post Matric 202274)If A : B = 1.2 : 2.5 and B : C = 1 : 1.4, what is A : B : C ?
12 : 25 : 35
, Avg: 00:49 , 90%✓ SSC Selection Post Matric 202275)The price of a mobile is Rs 15,000. During the annual sale, Its price decreased in the ratio of 8 : 5. What is its decreased price (in Rs)?
9,375
, Avg: 00:56 , 87%✓ SSC Selection Post Matric 202276)The fourth proportional to 10.8, 3.6 and 20.4 is:
6.8
, Avg: 01:17 , 75%✓ SSC Selection Post Matric 202277)The number of students in three sections of a class in a school are in the ratio 5 : 7 : 8. If 20, 25 and 40 more students are admitted in the three sections, respectively, the new ratio becomes 9 : 12 : 16. The total number of students after the new admissions is:
185
, Avg: 01:25 , 83%✓ SSC CHSL 202178)24% of Reena’s salary is equal to 38% of Sunita’s salary. Veena’s salary is two-third of the total salary of Reena and Sunita. If Veena’s salary is Rs. 62,000, then Sunita’s salary is:
Rs. 36,000
, Avg: 00:58 , 83%✓ SSC CHSL 202179)Two numbers A and B are in the ratio 13 ∶ 17. If A is increased by 15% and B is increased by 30%, then the new ratio of A to B will be:
23 ∶ 34
, Avg: 00:48 , 55%✓ SSC CHSL 202180)The daily wages of P, Q and R are in the proportion 5 ∶ 7 ∶ 8. If Q earns Rs.560 per daily, then what are the daily wages (in Rs.) of R and P, respectively?
640 and 400
, Avg: 01:19 , 100%✓ SSC CHSL 202181)A sum of Rs. x is divided among A, B and C such that the ratio of the shares of A and C is 8 ∶ 7 and that of B and C is 3 ∶ 2. If the difference between the shares of A and B is Rs. 240, then what is the value of x ?
2448
, Avg: 00:44 , 100%✓ SSC CHSL 202182)A sum of Rs.9,400 is divided between A, B and C such that the ratio of the shares of A and B is 4 ∶ 3 and the of B and C is 5 ∶ 4. What is the share of C?
Rs. 2,400
, Avg: 00:50 , 100%✓ SSC CHSL 202183)A sum of money is distributed among A, B, C and D in the ratio 5 ∶ 7 ∶ 11 ∶ 15, respectively. If C gets Rs. 2,480 more than B, then the difference between the shares of B and D is:
Rs. 4,960
, Avg: 00:49 , 66%✓ SSC CHSL 202184)Two numbers are in the ratio of 7 ∶ 4. If each number is increased by 12, then the ratio becomes 3 ∶ 2. The sum of the number is:
66
, Avg: 01:00 , 60%✓ SSC CHSL 202185)What is the ratio of the mean proportional between 1.2 and 10.8 to the third proportional to 0.2 and 1.2?
1 ∶ 2
, Avg: 00:39 , 100%✓ SSC CHSL 202186)Nalini’s younger brother is 12 years old. If the ratio of the age of Nalini to that of her brother is 7 ∶ 6, then what will be ratio in their ages 6 years hence?
10 ∶ 9
, Avg: 00:51 , 100%✓ SSC CHSL 202187)If two numbers are in the ratio 4 : 7 and the sum of their cubes is 407,000, then the greater number will be:
70
, Avg: 00:38 , 96%✓ SSC CHSL 202188)In a proportion, the product of the first and fourth terms is 70 and that of the second and third terms is 3.5y. The value of y is:
20
, Avg: 01:12 , 100%✓ SSC CHSL 202189)Two positive numbers are in the ratio 8 ∶ 13. If the sum of their squares is 2097, then the sum of the two numbers is:
63
, Avg: 00:42 , 50%✓ SSC CHSL 202190)Two numbers are in the ratio of 9 : 7. If the larger number is 56 more than one-seventh of the smaller, then what is the sum of the two numbers?
112
, Avg: 00:41 , 88%✓ SSC CHSL 202191)If a : b = 5 : 7, b : c = 8 : 15, then find the value of 8c : 5a.
21 : 5
, Avg: 01:05 , 83%✓ SSC CHSL 202192)If a ∶ b = 3 ∶ 5, b ∶ c = 7 ∶ 8 and c ∶ d = 2 ∶ 3, then 2a ∶ 3d is equal to
7 ∶ 30
, Avg: 01:26 , 100%✓ SSC CHSL 202193)The ratio of the incomes of A and B is 7 : 5. A and B save Rs. 4,000 and Rs. 3,500, respectively. If the expenditure of B is half the expenditure of A, then the total income of A and B (in Rs.) will be:
12,000
, Avg: 00:58 , 100%✓ SSC CHSL 202194)A bag contains coins of denomination of Rs. 1, Rs. 2 and Rs. 5 in the ratio of 4 ∶ 5 ∶ 8. If the total value of these coins is Rs. 432, then what is the number of Rs. 2 coins?
40
, Avg: 00:22 , 100%✓ SSC CHSL 202195)There are three numbers. If the ratio of the first to the second number is 2 : 7 and that of the second to the third number is 5 : 8, then the ratio of the first to the third number is:
5 : 28
, Avg: 00:57 , 85%✓ SSC CHSL 202196)If a : b = 2 : 3 and c : d = 5a : 3b then 2c : 5d is equal to:
4 : 9
, Avg: 00:23 , 100%✓ SSC CHSL 202197)If A : B = 11 : 7 and B : C = 5 : 19, then what is A : B : C ?
55 : 35 : 133
, Avg: 00:32 , 100%✓ SSC CHSL 202198)The ratio of boys and girls in a school is 6 ∶ 7. If the total number of students in the school is 3289, then what is the number of girls?
1771
, Avg: 01:34 , 60%✓ SSC CHSL 202199)A sum of Rs.12,992 is divided among A, B and C such that the ratio of the shares of A and C is 4 ∶ 15 and that of the shares of A and B is 2 ∶ 5. The difference (in Rs.) between the shares of B and C is:
2,240
, Avg: 01:06 , 75%✓ SSC CHSL 2021100)A sum of Rs. 11,236 is divided among A, B and C such that the ratio of the shares of A and B is 3 ∶ 5 and the ratio of the shares of A and C is 4 ∶ 7. The share of B is:
Rs. 4240
, Avg: 01:23 , 25%✓ SSC CHSL 2021101)The ratio of the ages of A and B, four years ago, was 4 ∶ 5. Eight years hence, the ratio of the ages of A and B will be 11 ∶ 13. What is the ratio of their present ages?
9 ∶ 11
, Avg: 00:14 , 100%✓ SSC CHSL 2021102)If the ratio of A : B is 5 ∶ 4 and B ∶ C is 3 ∶ 5 then the ration of A ∶ B ∶ C is :
15 ∶ 12 ∶ 20
, Avg: 00:43 , 85%✓ SSC CHSL 2021103)If 7A = 4B = 14C, then what is A : B : C ?
4 : 7 : 2
, Avg: 01:26 , 60%✓ SSC CHSL 2021104)If 9685 is divided into three parts in such a way that one-fourth of the first part, one-third of the second part and one-sixth of the third part are equal, then what is the first part?
2980
, Avg: 01:09 , 75%✓ SSC CHSL 2021105)The present ages of A and B are in the ratio 9 ∶ 10. The ratio of their ages 8 years from now will be 11 ∶ 12. What will be the sum of their ages (in years) after 3 years from now?
82
, Avg: 00:52 , 87%✓ SSC CHSL 2021106)If 4p = 6q = 9r, then p : q : r is equal to:
9 : 6 : 4
, Avg: 00:16 , 100%✓ SSC CHSL 2021107)In a bag, white mobile covers and black mobile covers are in the ratio of 4 : 7. If there are 280 black mobile covers, then how many white mobile covers are there in the bag?
160
, Avg: 01:03 , 91%✓ SSC CHSL 2021108)Three numbers are in the ratio \(\frac{1}{4} : \frac{5}{9} : \frac{7}{12}\). The difference between the greatest and the smallest number is 180. Find the sum of all the three numbers.
750
\(\frac{1}{4} : \frac{5}{9} : \frac{7}{12} =>9:20:21\)
hence, 21x - 9x = 180, x = 15
sum of numbers = 9x + 20x + 21x = 50x = 750
, Avg: 00:10 , 95%✓ SSC CHSL 2021109)A's salary increases in the ratio 8 ∶ 11. If his new salary is Rs.33,000, then what was his original salary (in Rs.)?
24,000
, Avg: 00:19 , 75%✓ SSC CHSL 2021110)A sum of money is divided among A, B and C in the ratio 2 : 3 : 7, respectively. If the share of B is Rs. 15,000, then what will be the difference in the shares of B and C ?
Rs. 20,000
, Avg: 01:00 , 57%✓ SSC CGL 2020111)The ratio of the ages of A and B, 8 years ago, was 2 : 3. Four years ago, the ratio of their ages was 5 : 7. What will be the ratio of their ages 8 years from now?
4 : 5
8 years ago the ratio of the ages of A and B = 2 : 3 ;
Let the 8 years ago ages of A and B be 2x and 3x respectively.
4 years age of A = 2x + 4 ; 4 years agoof B = 3x + 4 ;
Four years ago,the ratio of their ages = 5 : 7 ;
\({2x+4\over3x+4}= {5\over7}\) ; ⇒ 14x + 28 = 15x + 20; ⇒ x = 8 ;
8 years from now, Age of A = 2x + 16 = 2 x 8 + 16 = 32;
8 years from now, Age of B = 3x + 16 = 3 x 8 + 16 = 40;
Ratio of their ages 8 years from now = 32 : 40 = 4 : 5
, Avg: 00:48 , 33%✓ SSC CGL 2016112)The diameters of two cylinders are in the ratio 3:2 and their volumes are equal. The ratio of their heights is
4:9
, Avg: 01:30 , 75%✓ SSC CGL 2020113)A certain amount is divided among Sunita, Amit and Vibha in the ratio of 2 : 3 : 4. If Vibha gets Rs. 14,416, then the total amount is:
Rs. 32,436
Ratio of the amount of Sunita, Amit and Vibha = 2 : 3 : 4;
Let the amount of Sunita, Amit and Vibha be 2x, 3x and 4x.
Amount of Vibha = 14416;
4x = 14416;
x = 14416/4 = 3604;
Total amount = 2x + 3x + 4x = 9x = 9 x 3604 = Rs.32436
, Avg: 01:06 , 79%✓ SSC CGL 2020114)If a sum of Rs. 1,180 is to be divided among A, B and C,such that 2 times A’s share, 5 times B’s share and 7 times C’s share, are equal, then A’s share is:
Rs. 700
According to the question, \(2\times A= 5 \times B= 7\times C\) ; Ratio of the share of A, B and C = \({1\over2}:{1\over5}:{1\over7} \) = 35 : 14 : 10 ; A’s share = \({35\over59}\times1180\) = Rs. 700
, Avg: 01:06 , 57%✓ SSC CGL 2020115)In wallet, there are notes of the denominations ₹10 and ₹50. The total number of notes is 12. The number of ₹10 and 50 notes are in the ratio of 1 : 2. Total money in the wallet is:
₹ 440
The ratio of the number of ₹10 and ₹50 notes = 1 : 2;
The total number of notes = 12;
The number of ₹10 notes = \(\frac{1}{1 + 2} \times 12 = 4\);
Money from the ₹10 notes = 4 x 10 = Rs.40;
The number of ₹50 notes = 12 - 4 = 8;
Money from the ₹50 notes = 8 x 50 = Rs.400;
Total money in the wallet = 40 + 400 = Rs.440
, Avg: 00:11 , 84%✓ SSC CGL 2020116)If A : B = 3 : 5, and B : C = 2 : 3, then A : B : C is equal to:
6 : 10 : 15
A : B = 3 : 5 = 6 : 10; B : C = 2 : 3 = 2 x 5 : 3 x 5 = 10 : 15; A : B : C = 6 : 10 : 15
, Avg: 00:21 , 40%✓ SSC CGL 2020117)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:
6 : 7
The total number of students = 65; Total number of girls = 35; Total number of boys = 65 - 35 = 30; Required ratio = 30 : 35 = 6 : 7
, Avg: 00:13 , 100%✓ SSC CGL 2020118)If an amount of Rs.990 is divided among A, B and C in the ratio of 3 : 4 : 2, then B will get :
Rs. 440
Ratio of the A, B and C = 3 : 4 : 2;
Amount = 990;
Share of B = \(\frac{4}{3 + 4 + 2} \times 990 = \frac{4}{9} \times 990\) = Rs.440
SSC CGL 2019119)The ratio of the incomes of A and B last year was 4 : 3, respectively. The ratios of their individual incomes of the last year and the present year are 3 : 4 and 5 : 6, respectively. If their total income for the present year is ₹8.04 lakh, then the income of B last year was:
₹2.7 lakh
, Avg: 01:16 , 100%✓ SSC CGL 2019120)A sum of ₹x is divided among A, B and C such that the ratio of the shares of A and B is 6 : 7 and that of B and C is 3 : 2. If the difference between the shares of A and C is ₹540, then the value of x is:
7155
, Avg: 00:47 , 33%✓ SSC CGL 2019121)5 years ago, the ratio of the age of A to that of B was 4 : 5. Five years hence, the ratio of the age of A to that of B will be 6 : 7. If, at present, C is 10 years younger than B, then what will be the ratio of the present age of A to that of C?
5 : 4
, Avg: 02:19 , 100%✓ SSC CGL 2019122)What is the ratio of the third proportional to 0.4 and 0.8, to the mean proportional between 13.5 and 0.24?
8 : 9
, Avg: 01:21 , 60%✓ SSC CGL 2019123)A, B and C spend 80%, 85% and 75% of their incomes, respectively. If their savings are in the ratio 8 : 9 : 20 and the difference between the incomes of A and C is ₹18,000, then the income of B is:
₹ 27,000
, thud there saving will 20%, 15%
Let the income of A, B and C be Rs.A, Rs.B and Rs.C; since A, B, and C spend 80%, 85%, and 75% of their incomes respectively there saveing will be 20% of A, 15% of B and 25% of C respectively.
Also, Savings are in the ratio 8 : 9 : 20 respectively.
Thus, 20% of A : 15% of B : 25% of C :: 8 : 9 : 20
From above, 20A / 25C = 8 / 20 ---(i)
It is also given, C – A = 18000 ---(ii)
Solving (i) and (ii), we get A = Rs.18000 and C = Rs.36000
Also, from 20A / 15B = 8 / 9 , we get B = Rs.27000
, Avg: 00:49 , 100%✓ SSC CGL 2019124)Two numbers are in the ratio 3 : 5. If 13 is subtracted from each, the new numbers are in the ratio 10 : 21, If 15 is added to each of the original numbers, then the ratio becomes :
24 : 35
, Avg: 00:41 , 66%✓ SSC CGL 2019125)One year ago, the ratio of the age (in years) ofA to that of B was 4 : 3. The ratio of their respective ages, 3 years from now,will be 6 : 5. What will be the ratio of respective ages of A and B, 9 years from now?
9 : 8
One year ago, the ratio of the age (in years) of A to that of B = 4 : 3
After 3 year, the ratio of the age (in years) of A to that of B = 6 : 5
After 3 year, let the age of A and B are 6x and 5x.
ATQ,
\(\frac{4x + 4}{3x + 4} = \frac{6}{5}\)
20x + 20 = 18x + 24
2x = 4
x = 2
After 9 year, the ratio of the age (in years) of A to that of B = 6x + 6 : 5x + 6
\(6 \times 2 + 6 : 5 \times 2 + 6\) = 18 : 16 = 9 : 8
, Avg: 00:46 , 75%✓ SSC CGL 2019126)When x is added to each of 2, 3, 30 and 35, then the numbers obtained in this order, are in proportion. What is the mean proportional between (x + 7) and (x - 2)?
6
Order after adding x, 2 + x, 3 + x, 30 + x, 35 + x Condition of proportion,\(\frac{2 + x}{3 + x} = \frac{30 + x}{35 + x}\) =>\((2 + x)(35 + x) = (3 + x)(30 + x) \)=>\(70 + 2x + 35x + x^2 = 90 + 3x + 30x + x^2\)=>x = 5=>Mean proportional between (x + 7) and (x - 2) = \(\sqrt{(x + 7)(x - 2)} \)=6
, Avg: 01:32 , 76%✓ SSC CGL 2019127)If (a +b) : (b + c) : (c + a) = 7 : 6 : 5 and a + b + c = 27, then what will be the value of \(1\over a \) : \(1\over b \) : \(1\over c\) ?
4 : 3 : 6
Let the (a + b), (b + c) and (c + a) be 7x, 6x and 5x respectively.
Now,
(a + b) + (b + c) + (c + a) = 7x + 6x + 5x;
2(a + b + c) = 18x;
Put the value of (a + b + c),
\(2 \times 27\) = 18x;
x = 3;
a + b = 7x =\( 3 \times 7\) = 21;
c = (a + b + c) - a + b = 27 - 21 = 6;
b + c = 6x = \(3 \times 6\) = 18;
b = 18 - 6 = 12;
a + b + c = 27;
a = 27 - 18 = 9;
Now,
\(\frac{1}{a} : \frac{1}{b} : \frac{1}{c} = \frac{1}{9} : \frac{1}{12} : \frac{1}{6}\)
= 4 : 3 : 6
, Avg: 01:28 , 73%✓ SSC CGL 2019128)The ratio of the income of A to that of B is 5 : 7. A and B save Rs.4000 and Rs.5000 respectively. If the expenditure of A is equal to 66\(2\over 3\)% of the expenditure of B, then the total income of A and B is :
Rs. 24,000
The ratio of the income of A to that of B = 5 : 7;
Let the income of A and B be 5x and 7x.
Expenditure of A = 5x - 4000;
Expenditure of B = 7x - 5000;
The expenditure of A =\( 66\frac{2}{3}\%\) of the expenditure of B,
5x - 4000 = \((7x - 5000)\times \frac{2}{3};\)
15x - 12000 = 14x - 10000;
x = 2000;
Total income of A and B = 5x + 7x = 12x = 12 \times 2000 = 24000
, Avg: 01:04 , 66%✓ SSC CGL 2019129)The ratio of the volumes of two cylinders is x : y and the ratio of their diameters is a : b. What is the ratio of their heights?
\(xb^2 : ya^2\)
The ratio of their diameters = a : b;
The ratio of their radius = a : b;
The ratio of the volumes of two cylinders = x : y;
\(\pi \times r^2h_1 : \pi \times r^2h_2 = x : y\);
\(a^2h_1 : b^2h_2 = x : y;\)
\(h_1 : h_2 = xb^2 : ya^2\)
, Avg: 00:34 , 100%✓ SSC CGL 2020130)If 3A = 4B = 5C, then A : B : C is equal to :
20 : 15 : 12
let 3A = 4B = 5C = K
\(A= {K \over 3}, B= {K \over 4}, C= {K \over 5}\)
\(A:B:C = {K \over 3} : {K \over 4}: {K \over 5}\)
\(= {1 \over 3} : {1 \over 4}: {1 \over 5}\)
=20:15:12