1071.
The length of a common external tangent to two circles of an equal radius of 5 units is equal to the diameter of the circle.
Which of the following can be the distance between the centres of the circles in units?
(A)
10
(B)
12
(C)
9
(D)
8
1072.
A two-digit number is 12 more than five times the sum of its digits. The number formed by reversing the digits is 9 less than
the original number. The number is:
(A)
96
(B)
78
(C)
69
(D)
87
1073.
The ratio of the speeds of a boat while going upstream and going downstream is 2 : 3 and the sum of these two speeds is 15
km/h. What is the speed of the stream?
(A)
3.5 km/h
(B)
1.5 km/h
(C)
3 km/h
(D)
2.5 km/h
1074.
A’s income is equal to 125% of the income of B, while B’s savings are 120% of the savings of A. If the expenditure of B is
75% of the expenditure of A, then how much are B’s savings as a percentage of her expenditure?
(A)
(B)
(C)
(D)
1075.
Two numbers are in the ratio 2:3. Their sum is 135. Find the numbers.
(A)
50,85
(B)
60, 75
(C)
54, 81
(D)
45,90
1076.
Rohan takes 10 hours to mow a large lawn. He and Mohan together can mow it in 4 hours. How long will Mohan take to mow
the lawn if he works alone?
(A)
(B)
(C)
(D)
1077.
What will be the amount due on ₹12,000 in 2 years when the rate of simple interest on successive years is 9% and 10%,
respectively?
(A)
₹14,250
(B)
₹14,280
(C)
₹14,350
(D)
₹14,150
1078.
Pranav gave 30% of the money he had to his wife, and 86% of the remaining to his two children. Half of the amount left was
spent on other things, and the remaining amount of ₹98,000 was deposited in the bank. How much money did he have
initially?
(A)
₹20,00,000
(B)
₹40,00,000
(C)
₹10,00,000
(D)
₹30,00,000
1079.
Identify a single-digit number other than 1, which may exactly divide the number173 + 183− 163 − 153.
(A)
2
(B)
3
(C)
5
(D)
7
1080.
Suresh studies the pattern of daily sale of a shop. He finds that on Monday, the sale was decreased by 10% in comparison to
the sale on Sunday. On Tuesday, the sale was increased by 10% in comparison to the sale of Monday. If the sale on Tuesday
was of ₹1,485, how much was the sale on Sunday?
