1991.
The length, breadth and height of a cuboid are in ratio of 3 : 4 : 5. If the volume of the cuboid is 1620 m3, find the total
surface area of the cuboid.
(A)
646 m2
(B)
846 m2
(C)
423 m2
(D)
712 m2
1992.
Raju has ₹11,000 and starts saving ₹5,000 each week towards buying a new laptop. At the same time, Ramesh has ₹60,000
and begins spending ₹2,000 per week on supplies for his art class. Will there be a week when they have the same amount of
money?
(A)
Yes, after 7 weeks
(B)
Yes, after 6 weeks
(C)
No, they will never have the same amount
(D)
Yes, after 5 weeks
1993.
If 3c2933k is divisible by both 5 and 11, where c and k are single digit natural numbers, then c + k = ______.
(A)
7
(B)
8
(C)
6
(D)
5
1994.
The population of a town first decreased by 16% due to migration to a big city for better job opportunities. The next year, the
population of the town increased by 21% as there were better facilities for jobs. What is the net percentage change (correct
to 2 decimal places) in the population?
(A)
Decrease by 2.54%
(B)
Increase by 2.54%
(C)
Increase by 1.64%
(D)
Decrease by 1.64%
1995.
Monthly salary of Jitvik in the month of December 2020 was ₹24,800. Every year his salary increases by 5% from the month
of January. What was his salary (in ₹) in the month of February 2022?
(A)
27342
(B)
26485
(C)
27486
(D)
27180
1996.
The distance between the centres of two circles of radii 7 cm and 5 cm is 15 cm. Find the length of the transverse common
tangent to these circles.
(A)
7 cm
(B)
13 cm
(C)
11 cm
(D)
9 cm
1997.
If tan A = a tan B and sin A = b sin B, then the value of cos2A is:
(A)
(B)
(C)
(D)
1998.
3 solid spheres of diameters 6 cm, 8 cm and 10 cm are melted together to form a single solid sphere. Find its radius.
(A)
12 cm
(B)
9 cm
(C)
3 cm
(D)
6 cm
1999.
What is the smallest number that must be added to 19487161 so that it is divisible by 11?
(A)
11
(B)
5
(C)
16
(D)
10
2000.
If the income of Neha is 5% more than that of Monica, then the income of Monica is what percentage less than that of Neha?