MOCK-2(B)
1.In an election between two candidates, y% of the voters did not
vote. 10% of the votes cast were declared invalid, while all the valid
votes were cast in favour of either of the two candidates. The
candidate who got 59.375% of the valid votes cast was declared
elected by 2484 votes. If the number of people eligible to vote in that
election was 16,000, what is the value of y?
1. 7.5
2. 8.4
3. 7.2
4. 8
2. Three pipes P, Q and R can fill a cistern in 40 minutes, 80 minutes
and 120 minutes, respectively. Initially, all the pipes are opened. After
how much time (in minutes) should the pipes Q and R be turned off
so that the cistern will be completely filled in just half an hour?
1. 14
2. 16
3. 12
4. 10
1
3.A bus travels of the distance initially at a speed of 40 km/h, the
3
1 1
next of the distance 50 km/h, and the final of the distance at 60
3 3
km/h. Find the average speed of the bus for the entire journey.
(Rounded off to two decimal places)
1. 46.85 km/h
2. 54.13 km/h
3. 48.65 km/h
4. 51.43 km/h
4. Let 0° < t < 90°. Then which of the followings is true?
ANS..
5.
ANS..
6. Two circles of radii 18 cm and 12 cm touch each other externally.
Find the length (in cm) of their direct common tangent.
ANS..
7. If, on a marked price, the difference between selling prices with a
discount of 65% and with two successive discounts of 30% and 40% is
₹105, then the marked price (in ₹) is:
1. 1,050
2. 1,650
3. 1,320
4. 1,500
8. X, Y, and Z are three points on a plane with XY = 11 cm, YZ = 13 cm,
and XZ = 24 cm. The number of circles that travel through points X, Y,
and Z is:
1. 1
2. 0
3. 2
4. 3
9. The side of an equilateral triangle is 28 cm. Taking each vertex as
the centre, a circle is described with a radius equal to half the length
of the side of the triangle. Find the area of that part of the triangle
which is not included in the circles.
1. 39.08 cm2
2. 31.08 cm2
3. 38.08 cm2
4. 30.89 cm2
10. What annual instalment will discharge a debt of ₹26,160 due in 4
years at 6% simple interest p.a.?
1. ₹4,500
2. ₹5,800
3. ₹5,500
4. ₹6,000
11. A policeman noticed a thief at a distance of 500 metres. The
policeman started running and the thief also started running at the
same time. The thief is running at a speed of 15 km/h. It took 15
minutes for the policeman to catch the thief. Find the speed of the
policeman (in km/h).
1. 17
2. 11
3. 12
4. 10
12.
1. 3
2. 1
3. 2
4. 4
13. The concentrations of three acids, A, B, and C, are specified as
20%, 30%, and 40%, respectively. They are blended in a ratio of 3 : 5 :
a, yielding a solution with a concentration of 30%. What is the value
of 'a'?
1. 2
2. 3
3. 4
4. 1
14. A right triangle with sides 3 cm, 4 cm and 5 cm is rotated about
the sides of 3 cm to form a cone. The volume of the cone so formed
is:
1.20π cm3
2. 28π cm3
3. 16π cm3
4. 25π cm3
15. Places A and B are 20 km apart on the highway. A car starts from
A and another from B at the same time. If the cars travel in the same
direction at different speeds, they meet in one hour. If they travelled
towards each other, they met in 12 minutes. What are the speeds (in
km/h) of two cars?
1. 60, 40
2. 55, 45
3. 51, 49
4. 52, 48
16. If (7777+77) is divided by 78, then the remainder will be:
1. 76
2. 1
3. 77
4. 78
17. In ∆ABC, two medians AD and BE intersect at G at right angles. If
AD = 12 cm and BE = 9 cm, then the length of AB is equal to:
1. 16 cm
2. 12 cm
3. 14 cm
4. 10 cm
18. Naman bought few apples for ₹720 from a shop. He negotiated
the price and the shopkeeper reduced it by ₹2 per apple. Due to this
Naman could buy four more apples than what he had bought earlier.
How many apples did he originally buy?
1. 48
2. 40
3. 44
4. 36
19. A cuboid of dimensions 50 cm, 150 cm, 175 cm can be divided
into how many identical largest cubes?
1. 75
2. 84
3. 90
4. 85
20.
1. 1
2. 0
3. -1
4. 2
21. The tank is filled by three pipes with different uniform flow rates.
While the first two pipes are operating simultaneously, they fill the
tank in the same duration that the third pipe takes to fill it alone. The
second pipe can fill the tank 5 hours quicker than the first pipe, yet 4
hours slower than the third pipe. What is the time (in hours) needed
for the first pipe to fill the tank?
1. 18
2. 9
3. 15
4. 12
22. If Ram purchases a fan, he gets 8% discount, however, if he
purchases three fans he gets 6% on the first, 10% on the second and
12% on the third. If the price paid by the Ram for three fans is
₹6,800, then what will be the marked price of each fan?
1. ₹2,550
2. ₹2,450
3. ₹2,500
4. ₹2,400
23. P and Q are centres of two circles whose radii are 7 cm and 3 cm,
respectively. If the direct common tangents to the circles meet PQ
extended at A, then A divides PQ _________.
1. internally in the ratio 3 : 7
2. externally in the ratio 7 : 3
3. internally in the ratio 7 : 3
4. externally in the ratio 3 : 7
24. Two circles of radii 7 cm and 3 cm are drawn with centres M and
N respectively. Their transverse common tangents meet MN in P,
then the point P divides MN (internally) in the ratio
1.7:3
2.7:4
3.7:5
4.7:6
