1551.
There is a circle with a centre T and a radius of 8 cm. Two tangents KE and KI are drawn from point K, which is 17 cm from
the centre. The area of the quadrilateral TEKI is:
(A)
130 sq.cm
(B)
136 sq.cm
(C)
120 sq.cm
(D)
127.5 sq.cm
1552.
The number nearest to 7658 and exactly divisible by 45 is:
(A)
7645
(B)
7660
(C)
7650
(D)
7640
1553.
A man looks at the reflection of the top of the lamp-post on the mirror that is 6.6 m away from the foot of the lamppost. The
man’s height is 1.25 m and he is standing 2 m away from the mirror. Assuming that the mirror is placed on the ground,
facing the sky and the man, and that the mirror and the lamp-post are in a same line, find the height of the lamp-post (in
metres).
(A)
4.28
(B)
4.45
(C)
3.97
(D)
4.13
1554.
In a state election between two parties, 83% of the voters cast their votes, out of which 4% of the votes were declared
invalid. Party A got 156611 votes which were 83% of the total valid votes. Find the total number of votes enrolled in that
election. (Consider integer part only)
(A)
2,58,233
(B)
2,34,888
(C)
2,36,807
(D)
23,46,807
1555.
A person spends 10% of his income on groceries, 10% on medicines, 20% on children’s education, 15% on house rent, and
he saves the remaining amount. If his monthly income is ₹30,000, find his savings.
(A)
₹15,500
(B)
₹16,500
(C)
₹13,500
(D)
₹12,500
1556.
A clock is sold for ₹550 cash or in the instalment scheme, for ₹250 cash down payment and ₹310 after one month. Find the
rate of interest charged in the instalment scheme.
(A)
(B)
(C)
(D)
1557.
A cylindrical rod of iron whose height is twelve times its radius, is melted and cast into spherical balls, each of one-third the
radius of the cylinder. Find the number of spherical balls.
(A)
224
(B)
212
(C)
243
(D)
198
1558.
When the integer n is divided by 18, the quotient is x and the remainder is 6, When the integer n is divided by 25, the
quotient is y and the remainder is 15. Which of the following is true?
(A)
25y +18x = 9
(B)
25y − 18x = 9
(C)
18x + 25y = 9
(D)
18x − 25y = 9
1559.
Two parallel chords of length 8 units each are 6 units away from each other in a circle. What is the radius of the circle in
units?
(A)
3
(B)
6
(C)
5
(D)
4
1560.
Two circles with centre O and A touch each other externally. The radius of the first circle with centre O is 6 cm. The radius of
the second circle with centre A is 3 cm. Find the length of their common tangent CB (in centimetres).
