1851.
If Tanya walks at the speed of 6 km/h, she misses a train by 2 minutes. However, if she walks at the speed of 8 km/h, she
reaches the station 3 minutes before the arrival of the train. The distance covered by Tanya to reach the station is:
(A)
3 km
(B)
2.5 km
(C)
2.75 km
(D)
2 km
1852.
If 6 engineers can complete a work in 5 days and 5 skilled workers can complete the same work in 7 days, then the time
taken (in days) to complete the same work by 7 engineers and 4 skilled workers will be:
(A)
(B)
(C)
(D)
1853.
An amount invested fetched a total simple interest of ₹4,050 at the rate of 9% per annum in 5 years. What is the amount
invested (in ₹)?
(A)
9,000
(B)
8,300
(C)
7,500
(D)
9,050
1854.
The lines x+y = 10 and -3x+y = 2 have a unique solution. What is the distance (in units) between the unique solution and the
point of intersection of the line x+y = 10 and the x-axis?
(A)
(B)
(C)
(D)
1855.
A tangent is drawn from a point that is at a distance of 37 cm from center of the circle O, and diameter is 24 cm. The length
(in cm) of the tangent is:
(A)
30
(B)
35
(C)
28.16
(D)
37
1856.
Consider AD is a tangent to a circle of radius 6 cm. AC is a secant meeting the circle at B and CD is a diameter. If AB is 7 cm,
then the value of AC (in cm) is:
(A)
9
(B)
18
(C)
20
(D)
16
1857.
A number is first decreased by 18% and the resulting number is then increased by 25%. What is the overall percentage
change in the original number?
(A)
Decrease by 2.5%
(B)
Increase by 3.5%
(C)
Increase by 2.5%
(D)
Decrease by 3.5%
1858.
PQ is the diameter of a circle with centre O. PT is a tangent touching the circle at P. The secant QT intersects the circle at S.
O and S are joined. If ∠ SOP = 104°, what is the measure (in degrees) of ∠PTQ?
(A)
45
(B)
62
(C)
76
(D)
38
1859.
The average salary of a group of 12 employees in an institution is ₹3,950 per month and that of another group of employees
is ₹1,850. If the average salary of all employees is ₹2,150, then the total number of employees is:
(A)
100
(B)
88
(C)
84
(D)
72
1860.
Study the given bar-graph and answer the question that follows.
The bar-graph represents the number of boys and girls in different sections of class 12.
The average number of girls in each section is: