Q. The ages of Sunil and Anil are in the ratio 8:7, after 6 years, the ratio of their ages will be 19 : 17. What is the difference in their present ages?
Answer 4 yr
EXPLANATION
Suppose the ages of Sunil and Anil are 8x yr and 7x yr, respectively. After 6 yr,
(8x+6)/(7x+6) =19/17
136x + 102 = 133x + 114
136x – 133x = 114 – 102
3x = 12 X = 12/3 = 4
Age of Sunil = 8x = 8 × 4 = 32 yr
Present age Anil = 7x = 7 × 4 = 28 yr
Required difference = (32 – 28) = 4 yr
Q. If the ratio of area of rectangle to its perimeter is 60:11. And length and breadth are in the ratio 6 : 5. Find length of rectangle.
Answer 24
EXPLANATION
Ratio of length and breadth is 6 : 5
∴ Length = 6x
Breadth = 5x
∴ Area = l x b = 30x^2
∴ Perimeter = 2 (l + b) = 2(6x + 5x) =22x
Therefore
30x^2/22x = 60/11
∴ X = 4
∴ Length = 6x = 6 x 4 = 24 units
SBI questions with answer set 1
Q. The average age of 80 boys in a class is 15 years. The average age of a group of 15 boys in the class is 16 years and the average age of another 25 boys in the class is 14 years. What is the average age of the remaining boys in the class?
Answer 15.25 yr
EXPLANATION
Total sum of age of 80 students of the class = 15 X 80 = 1200 years
15 students → 15 X 16 = 240 years
25 students → 25 X 14 = 350 years
Sum of 40 students = 590 years
Total age of remaining 40 students = 1200 – 590 = 610
So, average age= 610/40 = 15.25 years
Q. The difference between the interests earned when Rs. P is invested for four years in a scheme offering 9% p.a. Simple interest and when the same sum (Rs P) is invested for two years in another scheme offering 12% p.a. simple interest, is Rs 480. What is the value of P?
Answer 4000
EXPLANATION
p = (P × 4 × 9)/100 - (P × 2 × 12)/100 = 480
12P/100 = 480
P = 4000
Answer 4 yr
EXPLANATION
Suppose the ages of Sunil and Anil are 8x yr and 7x yr, respectively. After 6 yr,
(8x+6)/(7x+6) =19/17
136x + 102 = 133x + 114
136x – 133x = 114 – 102
3x = 12 X = 12/3 = 4
Age of Sunil = 8x = 8 × 4 = 32 yr
Present age Anil = 7x = 7 × 4 = 28 yr
Required difference = (32 – 28) = 4 yr
Q. If the ratio of area of rectangle to its perimeter is 60:11. And length and breadth are in the ratio 6 : 5. Find length of rectangle.
Answer 24
EXPLANATION
Ratio of length and breadth is 6 : 5
∴ Length = 6x
Breadth = 5x
∴ Area = l x b = 30x^2
∴ Perimeter = 2 (l + b) = 2(6x + 5x) =22x
Therefore
30x^2/22x = 60/11
∴ X = 4
∴ Length = 6x = 6 x 4 = 24 units
SBI questions with answer set 1
Q. The average age of 80 boys in a class is 15 years. The average age of a group of 15 boys in the class is 16 years and the average age of another 25 boys in the class is 14 years. What is the average age of the remaining boys in the class?
Answer 15.25 yr
EXPLANATION
Total sum of age of 80 students of the class = 15 X 80 = 1200 years
15 students → 15 X 16 = 240 years
25 students → 25 X 14 = 350 years
Sum of 40 students = 590 years
Total age of remaining 40 students = 1200 – 590 = 610
So, average age= 610/40 = 15.25 years
Q. The difference between the interests earned when Rs. P is invested for four years in a scheme offering 9% p.a. Simple interest and when the same sum (Rs P) is invested for two years in another scheme offering 12% p.a. simple interest, is Rs 480. What is the value of P?
Answer 4000
EXPLANATION
p = (P × 4 × 9)/100 - (P × 2 × 12)/100 = 480
12P/100 = 480
P = 4000
