1. A sum of money is divided among A,B,C and D in the ratio of 3 : 5 : 9 : 13 respectively. If the share of C is Rs. 2412 more than the share of A, then what is the total amount of money of B and D together?
A) Rs. 4422
B) Rs. 7236
C) Rs. 6030
D) Rs. 4824
E) None of these
2. The average age of 80 girls was 20 years, the average age of 20 of them was 22 years and that of another 20 was 24 years. Find the average age of the remaining girls.
A) 17 years
B) 19 years
C) 21 years
D) 15 years
E) None of these
3. Ms. Pooja invests 13% of her monthly salary, i.e. Rs. 8554 in Mediclam Policies. Later she invests 23% of her monthly salary on child Education Policies; also she invests another 8% of her monthly salary on Mutual Funds. What is the total annual invested by Ms. Pooja?
A) Rs. 28952
B) Rs. 43428
C) Rs. 347424
D) Rs. 173712
E) None of these
4. The profit earned after selling an article for Rs. 878 is the same as loss incurred after selling the article for Rs. 636. What is the cost price of the article?
A) Rs. 797
B) Rs. 787
C) Rs. 767
D) Rs. 757
E) None of these
5. In a class of 240 students, each student got sweets that are 15% of the total number of students. How many sweets were there?
A) 3000
B) 3125
C) 8640
D) 9789
E) None of these.
6. Sonika spent Rs. 45, 760 on the interior decoration for her home, Rs. 27896 on buying air conditioner and the remaining 28% of the total amount she had as cash with her. What was the total amount?
A) Rs. 98540
B) Rs. 102300
C) Rs. 134560
D) Cannot be determined
E) None of these
7. The ages of Khushi and Jagriti are in the ratio of 5 : 8 respectively. After 8 years the ratio of their ages will be 3 : 4. What is the difference in their ages?
A) 16 years
B) 8 years
C) 10 years
D) 12 years
E) None of these
8. By how much is 6/11 th of 506 lesser than 3/5 of 895?
A) 178
B) 219
C) 143
D) 261
E) None of these
9. The average of the ages of Sumit, Krishna and Rishabh is 43 years and the average of the ages of Sumit, Rishabh and Rohit is 49 years. If Rohit is 54 years old, what is Krishna'a age?
A) 45 years
B) 24 years
C) 36 years
D) Cannot be determined
E) None of these
10. The compound interest occured on an amount at the end of three years at 15 p.c.p.a is 6500.52. What is the amount?
A) Rs. 12480
B) Rs. 10500
C) Rs. 14800
D) Rs. 13620
E) None of these
11. ‘P’ liters of oil were poured into a tank and it was still r% empty How much oil must be poured into the tank in order to fill it to the brim?
A) (P × r)/(100-r)
B) P/(100-r)
C) 100P/(100-r)
D) 100P×r/ (100-r)
E) None of these
12. A sum of money is accumulating at compound interest at a certain rate of interest. If Simple interest instead of compound interest were reckoned, the interest for the first two years would be diminished by Rs. 20 and that for the first three years by Rs. 61. Find the Sum?
A) 8000
B) 6000
C) 10,000
D) 12,000
E) None of these
13. In Utkarsh’s opinion, his weight is greater than 65 kg but less than 72 kg. His brother doesn’t agree with Utkarsh and he thinks that Utkarsh’s weight is greater than 60 kg but less than 70 kg. His mother's view is that his weight cannot be greater than 68 kg. If all are them are correct in their estimation, what is the average of different probable weights of Utkarsh?
A) 67 kg
B) 68 kg
C) 69 kg.
D) Data inadequate
E) None of these
14. Three pipes A, B and C can fill a tank from empty to full in 30 minutes, 20 minutes, and 10 minutes respectively. When the tank is empty, all the three pipes are opened. A, B and C discharge chemical solutions P,Q and R respectively. What is the proportion of the solution R in the liquid in the tank after 3 minutes?
A) 5/11
B) 7/11
C) 9/11
D) 3/11
E) None of these
15. A and B can complete a work in 15 days and 10 days respectively. They started doing the work together but after 2 days B had to leave and A alone completed the remaining work. The whole work was completed in :
A) 10 days
B) 12 days
C) 20 days
D) 25 days
E) None of these
ANSWERS & SOLUTIONS
1. B
2. A
3. C
4. D
5. C
6. B
7. E
8. D
9. C
10. A
11. A
12. A
13. A
14. E
15. B
1.(B) Let the original sum be Rs. x.
Sum of the Ratios = 3 + 5 + 9 + 13 = 30
C's share = Rs. 9x/30 = Rs. 3x/10
A's share = Rs. 3x/30 = Rs. x/10
According to the question,
3x/10 - x/10 = 2412
2x/10 = 2412
x = 2412 * 5 = Rs 12060
Amount received by B and D together
= Rs. (((5+13))/30 ×12060)
= 7236
2.(A) Total age of remaining 40 girls
= (80 * 20 - 20 * 22 - 20 * 24) years
= (1600 - 440 - 480) years
= 680 years
Required average age = 680/40 = 17 years
3.(C) Let Ms. Pooja's monthly salary be Rs. x
According to the question,
13% of x = Rs. 8554
= x = Rs. (8554 * 100)/13 = Rs. 65800
Total monthly investment in percentage
= 13 + 23 + 8 = 44
Total montly investment = 44% of Rs. 65800
= (44 * 65800)/100
= Rs. 28952
Total annul investment = Rs. (12 * 28952)
= Rs. 347424
4. (D) Let the CP of the article be Rs. x.
According to the question,
878 - x = x - 636
= 2x = 878 + 636 = 1514
x = 1514/2 = Rs. 757
5. (C) Number of sweets received by each student
= 15% of 240
= 15 * 240/100 = 36
Total number of sweets = 240 * 36 = 8640
6. (B) Let the total amount be Rs. x
The amount spent = 100 - 28 = 72%
72% of x = Rs. (45760 + 27896)
= 72 * x /100 = 73656
x = 73656 * 100/72 = Rs. 102300.
7.(E) Let the present ages of Khushi and Jagriti be 5x and 8x years respectively.
After 8 years,
5x + 8/8x + 8 = 3/4
= 24x + 24 = 20x + 32
= 4x = 32 - 24 = 8
x = 8/4 = 2
Required difference = (8x - 5x) years
= 3x = 3 * 2 = 6 years
8. (D) Required difference = 3/5 * 895 - 6/11 * 506
= 537 - 276 = 261
9. (C) (Sumit + Krishna + Rishabh)'s age
= 43 * 3 = 129 years .........................(i)
(Sumit + Rishabh + Rohit)'s age
= 3 * 49 = 147 years .........................(ii)
By equation (i) - (ii), we have,
Krishan's age - Rohit's age = 129 - 147 = -18
Krishna's age = 54 - 18 = 36 years
10. (A) Let the principal be Rs. P.
According to the question,
CI = P [(1+ R/100)^T- 1]
6500.52 = P [(1+ 15/100)^3- 1]
= 6500.52 = P [1.520875 -1]
P = 6500.52/0.520875 = Rs. 12480
11. (A) After filling ‘P’ liter still r % empty. So (100-r)% = P liter ;
Let x liter require to fill remain tank.
So full capacity of tank = 100P/(100-r)
So x= r% of capacity = 100P/(100-r) * r/100 = Pr/(100-r)
12. (A) P(r/100)^2= 20 –(1)
P(r/100)^2 ×(300+r)/100 =61 -(2)
Putting value from eqn 1
(300+r)/100 =61/20
On solving r = 5%
After put value in eqn(1) P= 8000
13. (A) Go through statements, it’s clear that average of probable weight of Utkarsh is 67 kg.
14. (E) Part filled by A+B+C in 3 min = 3(1/20+1/30+1/10) = 11/20
Part filled by C in 10 min = 3/10
Required ratio = 3/10:11/20 = 6:11
So the solution R in the liquid in the tank after 3 minutes = 6/11
15. (B) A and B together 1 day work =1/15+1/10 =5/30=1/6
Both work for 2 day = 1/3
Remain work =2/3
Left work done in (2/3) ÷ (1/15) =10 days
So total day = 10+2 = 12 days
11. ‘P’ liters of oil were poured into a tank and it was still r% empty How much oil must be poured into the tank in order to fill it to the brim?
A) (P × r)/(100-r)
B) P/(100-r)
C) 100P/(100-r)
D) 100P×r/ (100-r)
E) None of these
12. A sum of money is accumulating at compound interest at a certain rate of interest. If Simple interest instead of compound interest were reckoned, the interest for the first two years would be diminished by Rs. 20 and that for the first three years by Rs. 61. Find the Sum?
A) 8000
B) 6000
C) 10,000
D) 12,000
E) None of these
13. In Utkarsh’s opinion, his weight is greater than 65 kg but less than 72 kg. His brother doesn’t agree with Utkarsh and he thinks that Utkarsh’s weight is greater than 60 kg but less than 70 kg. His mother's view is that his weight cannot be greater than 68 kg. If all are them are correct in their estimation, what is the average of different probable weights of Utkarsh?
A) 67 kg
B) 68 kg
C) 69 kg.
D) Data inadequate
E) None of these
14. Three pipes A, B and C can fill a tank from empty to full in 30 minutes, 20 minutes, and 10 minutes respectively. When the tank is empty, all the three pipes are opened. A, B and C discharge chemical solutions P,Q and R respectively. What is the proportion of the solution R in the liquid in the tank after 3 minutes?
A) 5/11
B) 7/11
C) 9/11
D) 3/11
E) None of these
15. A and B can complete a work in 15 days and 10 days respectively. They started doing the work together but after 2 days B had to leave and A alone completed the remaining work. The whole work was completed in :
A) 10 days
B) 12 days
C) 20 days
D) 25 days
E) None of these
ANSWERS & SOLUTIONS
1. B
2. A
3. C
4. D
5. C
6. B
7. E
8. D
9. C
10. A
11. A
12. A
13. A
14. E
15. B
1.(B) Let the original sum be Rs. x.
Sum of the Ratios = 3 + 5 + 9 + 13 = 30
C's share = Rs. 9x/30 = Rs. 3x/10
A's share = Rs. 3x/30 = Rs. x/10
According to the question,
3x/10 - x/10 = 2412
2x/10 = 2412
x = 2412 * 5 = Rs 12060
Amount received by B and D together
= Rs. (((5+13))/30 ×12060)
= 7236
2.(A) Total age of remaining 40 girls
= (80 * 20 - 20 * 22 - 20 * 24) years
= (1600 - 440 - 480) years
= 680 years
Required average age = 680/40 = 17 years
3.(C) Let Ms. Pooja's monthly salary be Rs. x
According to the question,
13% of x = Rs. 8554
= x = Rs. (8554 * 100)/13 = Rs. 65800
Total monthly investment in percentage
= 13 + 23 + 8 = 44
Total montly investment = 44% of Rs. 65800
= (44 * 65800)/100
= Rs. 28952
Total annul investment = Rs. (12 * 28952)
= Rs. 347424
4. (D) Let the CP of the article be Rs. x.
According to the question,
878 - x = x - 636
= 2x = 878 + 636 = 1514
x = 1514/2 = Rs. 757
5. (C) Number of sweets received by each student
= 15% of 240
= 15 * 240/100 = 36
Total number of sweets = 240 * 36 = 8640
6. (B) Let the total amount be Rs. x
The amount spent = 100 - 28 = 72%
72% of x = Rs. (45760 + 27896)
= 72 * x /100 = 73656
x = 73656 * 100/72 = Rs. 102300.
7.(E) Let the present ages of Khushi and Jagriti be 5x and 8x years respectively.
After 8 years,
5x + 8/8x + 8 = 3/4
= 24x + 24 = 20x + 32
= 4x = 32 - 24 = 8
x = 8/4 = 2
Required difference = (8x - 5x) years
= 3x = 3 * 2 = 6 years
8. (D) Required difference = 3/5 * 895 - 6/11 * 506
= 537 - 276 = 261
9. (C) (Sumit + Krishna + Rishabh)'s age
= 43 * 3 = 129 years .........................(i)
(Sumit + Rishabh + Rohit)'s age
= 3 * 49 = 147 years .........................(ii)
By equation (i) - (ii), we have,
Krishan's age - Rohit's age = 129 - 147 = -18
Krishna's age = 54 - 18 = 36 years
10. (A) Let the principal be Rs. P.
According to the question,
CI = P [(1+ R/100)^T- 1]
6500.52 = P [(1+ 15/100)^3- 1]
= 6500.52 = P [1.520875 -1]
P = 6500.52/0.520875 = Rs. 12480
11. (A) After filling ‘P’ liter still r % empty. So (100-r)% = P liter ;
Let x liter require to fill remain tank.
So full capacity of tank = 100P/(100-r)
So x= r% of capacity = 100P/(100-r) * r/100 = Pr/(100-r)
12. (A) P(r/100)^2= 20 –(1)
P(r/100)^2 ×(300+r)/100 =61 -(2)
Putting value from eqn 1
(300+r)/100 =61/20
On solving r = 5%
After put value in eqn(1) P= 8000
13. (A) Go through statements, it’s clear that average of probable weight of Utkarsh is 67 kg.
14. (E) Part filled by A+B+C in 3 min = 3(1/20+1/30+1/10) = 11/20
Part filled by C in 10 min = 3/10
Required ratio = 3/10:11/20 = 6:11
So the solution R in the liquid in the tank after 3 minutes = 6/11
15. (B) A and B together 1 day work =1/15+1/10 =5/30=1/6
Both work for 2 day = 1/3
Remain work =2/3
Left work done in (2/3) ÷ (1/15) =10 days
So total day = 10+2 = 12 days
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