# Daily Updates Mock Test 33

50 Questions  Settings  Related Topics
• 1.
Two goats are tethered to diagonally opposite vertices of a field formed by joining the mid-points of the adjacent sides of another square field of side 20√2m. What is the total grazing area of the two goats if the length of the rope by which the goats are tethered is 10√2  m?
• A.

100π m²

• B.

50(√2-1)π m²

• C.

100π(3-2√2) m²

• D.

200π(2-√2) m²

• 2.
Two equal maximum sized circular plates are cut-off from a circular paper-sheet of circumference 352 cm. The circumference of each circular plate is,
• A.

176 cm

• B.

180 cm

• C.

165 cm

• D.

150 cm

• 3.
Find the ratio of the diameter of the circles inscribed in an equilateral triangle, the diameter circumscribing that equilateral triangle and the height of the same equilateral triangle?
• A.

1 : 2 : 1

• B.

2 : 4 : 3

• C.

1 : 3 : 4

• D.

3 : 2 : 1

• 4.
Find the area of a right-angled triangle if the radius of its circumcircle is 5 cm and the altitude drawn to the hypotenuse is 4 cm.
• A.

20 cm²

• B.

22 cm²

• C.

20√2 cm²

• D.

22√2 cm²

• 5.
Find the area of a circle whose circumference is 44 cm.
• A.

154 cm²

• B.

150 cm²

• C.

145 cm²

• D.

140 cm²

• 6.
The inner circumference of a circular field is 704 m. A road 7 m wide is constructed on the outside. Find the area of the path.
• A.

5082 m²

• B.

5060 m²

• C.

5060.5 m²

• D.

5000 m²

• 7.
A square park has each side of 100 m. At each corner of the park, there is a flower bed in the form of a quadrant of radius 14 m as shown in the figure. Find the area of the remaining part of the park.
• A.

9184 m²

• B.

9284 m²

• C.

9834 m²

• D.

9384 m²

• 8.
An equilateral triangle of side 6 cm has its corners cut off to form a regular hexagon. Area (in cm2) of this regular hexagon will be
• A.

3√3

• B.

3√6

• C.

6√3

• D.

(5√3)/2

• 9.
A wire, when bent in the form of a square, encloses a region having area 121 cm2. If the same wire is bent into the form of a circle, then the area of the circle is (take π=22/7)?
• A.

144 cm²

• B.

180 cm²

• C.

154 cm²

• D.

176 cm²

• 10.
ABC is an equilateral triangle of side 2 cm. With A, B, C as centers and radius 1 cm three arcs are drawn. The area of the region within the triangle bounded by the three arcs is?
• A.

3(√3-π/2)cm²

• B.

(√3-3π/2)cm²

• C.

(π/2)cm²

• D.

(π/2-√3)cm²

• 11.
If x runs are scored by A, y runs by B and z runs by C, then x : y = y : z = 3 : 2. If total number of runs scored by A, B and C is 342, the runs scored by each would be respectively
• A.

144, 96, 64

• B.

162, 108, 72

• C.

180, 120, 80

• D.

189, 126, 84

• 12.
Rs 900 is divided among A, B, C; the division is such that  1/2  of A’s money =1/3rd of B’s money =1/4th of C’s money. Find the amount (in Rs) received by A, B, C.
• A.

300, 400, 200

• B.

350, 450, 100

• C.

200, 300, 400

• D.

400, 150, 350

• 13.
If Rs 126.50 is divided among A, B and C in the ratio of 2 : 5 : 4, the share of B exceeds that of A by
• A.

Rs 36.50

• B.

Rs 35.50

• C.

Rs 34.50

• D.

Rs 33.50

• 14.
The average of first three numbers is double of the fourth number. If the average of all the four numbers is 12, find the 4th number.
• A.

16

• B.

48/7

• C.

20

• D.

18/7

• 15.
If the average of 6 consecutive even numbers is 25, the difference between the largest and the smallest number is
• A.

8

• B.

10

• C.

12

• D.

14

• 16.
A train goes from Ballygunge to Sealdah at an average speed of 20 km/hour and comes back at an average speed of 30 km/hour. The average speed of the train for the whole journey is
• A.

27 km/hr

• B.

26 km/hr

• C.

25 km/hr

• D.

24 km/hr

• 17.
The arithmetic mean of 100 observations is 24.6 is added to each of the observations and, then each of them is multiplied by 2.5. Find the new arithmetic mean.
• A.

30

• B.

75

• C.

35

• D.

60

• 18.
Sachin Tendulkar has a certain average for 11 innings. In the 12th innings he scores 120 runs and thereby increases his average by 5 runs. His new average is
• A.

60

• B.

62

• C.

65

• D.

66

• 19.
The average of 11 results is 50. If the average of the first six results is 49 and that of the last six is 52, the sixth result is
• A.

48

• B.

50

• C.

52

• D.

56

• 20.
By selling 25 metres of cloth a trader gains the selling price of 5 metres of cloth. The gain of the trader in % is
• A.

25

• B.

20

• C.

28

• D.

29

• 21.
A sum of money placed at compound interest double itself in 4 years. In how many years will it amount to four times itself?
• A.

12 years

• B.

13 years

• C.

8 years

• D.

16 years

• 22.
The compound interest on Rs. 30,000 at 7% per annum for a certain time is Rs. 4,347. The time is:
• A.

3 years

• B.

4 years

• C.

2 years

• D.

2.5 years

• 23.
A sum of Rs. 8000 will amount to Rs. 8820 in 2 years. The rate of compound interest  is:
• A.

6%

• B.

7%

• C.

3%

• D.

5%

• 24.
A principal of Rs. 10,000, after 2 years compounded annually, the rate of interest being 10% per annum during the first year and 12% per annum during the second year (in rupees) will amounts to:
• A.

Rs. 12,000

• B.

Rs. 12,320

• C.

Rs. 12,500

• D.

Rs. 21,000

• 25.
Two equal vessels are filled with the mixture of water and milk in the ratio of 3 : 4 and 5 : 3 respectively. If the mixtures are poured into a third vessel, the ratio of water and milk in the third vessel will be
• A.

15 : 12

• B.

53 : 59

• C.

20 : 9

• D.

59 : 53

• 26.
If Rs. 64 amount to 83.20 in 2 years what will Rs. 86 amount to in 4 years at the same rate of simple interest per annum?
• A.

Rs. 132.50

• B.

Rs. 135.60

• C.

Rs. 137.60

• D.

None of these

• 27.
Manoj deposited Rs. 29400 for 6 years at simple interest. He got Rs. 4200 as interest after 6 years. The annual rate of simple interest was:
• A.

50/21 %

• B.

47/20 %

• C.

71/21 %

• D.

92/21 %

• 28.
If the simple interest for 6 years be equal to 30% of the principal, it will be equal to the principal after
• A.

20 years

• B.

30 years

• C.

10 years

• D.

22 years

• 29.
A person invests money in three different schemes for 6 years, 10 years and 12 years at 10%, 12% and 15% simple interest respectively. At the completion of each scheme, he gets the same interest. The ratio of his investment is
• A.

6 : 3 : 2

• B.

2 : 3 : 4

• C.

3 : 4 : 6

• D.

3 : 4 : 2

• 30.
s. 1,000 is invested at 5% per annum simple interest. If the interest is added to the principal after every 10 years, the amount will become Rs. 2,000 after
• A.

15 years

• B.

18 years

• C.

20 years

• D.

50/3 years

• 31.
Select the related word/letters/number from the given alternatives.  AEIM : BFJN : : CGKO : ?
• A.

DHLP

• B.

ZVRP

• C.

BCDK

• D.

MPQR

• 32.
Select the related word/letters/number from the given alternatives.  24 : 60 : : 210 : ?
• A.

348

• B.

336

• C.

340

• D.

326

• 33.
Select the related word/letters/numbers from the given alternatives:  College : Student : : Hospital : __?__
• A.

Doctor

• B.

Treatment

• C.

Nurse

• D.

Patient

• 34.
Find the odd word/letters/number pair from the given alternatives.
• A.

125

• B.

900

• C.

343

• D.

1000

• 35.
Select the odd word/letters/number/number pair from the given alternatives.
• A.

• B.

Stubborn

• C.

Tenacious

• D.

Lenient

• 36.
Select the odd word/letters/number/number pair from the given alternatives.
• A.

• B.

PRU

• C.

JLO

• D.

ACF

• 37.
Consider the given statements to be true and decide which of the given conclusions/assumptions can definitely be drawn from the given statement. Statements: All fruits are leaves.  Some fruits are grapes. Conclusion I: Some leaves are grapes.  II: All grapes are fruits.
• A.

Only conclusion I follows

• B.

Only Conclusion II follows

• C.

Both conclusion I and II follows

• D.

Neither Conclusion I nor II follows

• 38.
Identify the diagram that best represents the relationship among classes given below  Tennis fans, Cricket players, Students
• A.

A

• B.

B

• C.

C

• D.

D

• 39.
A is taller than B. C is taller than A. D is taller than E but shorter than B. Who is the tallest?
• A.

C

• B.

A

• C.

D

• D.

B

• 40.
Complete the third equation on the basis of a certain system followed in the first two equations. (1)  5*4*2*1 = 1425   (2) 7*8*1*6 = 6817 (3) 9*3*7*5 = ?
• A.

3795

• B.

5397

• C.

5973

• D.

5379

• 41.
.In the following question, select the odd word pair from the given alternatives.
• A.

Dog : Puppy

• B.

Horse : Mare

• C.

Sheep : Lamb

• D.

Cow : Calf

• 42.
In the following question, select the odd word from the given alternatives.
• A.

SZ

• B.

BJ

• C.

PW

• D.

MT

• 43.
In the following question, select the odd word pair from the given alternatives.
• A.

11 – 44

• B.

8 – 34

• C.

6 – 18

• D.

12 – 72

• 44.
In the following question, select the odd word from the given alternatives.
• A.

Mobile phone

• B.

Laptop

• C.

Television

• D.

Cathode Rays

• 45.
In the following question, select the odd word from the given alternatives.
• A.

AG

• B.

RX

• C.

EK

• D.

MT

• 46.
In the following question, select the odd word pair from the given alternatives.
• A.

52 – 164

• B.

60 – 162

• C.

44 – 146

• D.

112 – 214

• 47.
In the following question, select the odd word from the given alternatives.
• A.

Almonds

• B.

Cashewnut

• C.

Walnut

• D.

Potato

• 48.
.In the following question, select the odd word from the given alternatives.
• A.

BDGK

• B.

XZCG

• C.

TVYB

• D.

NPSW

• 49.
In the following question, select the odd number from the given alternatives.
• A.

347

• B.

124

• C.

782

• D.

479

• 50.
In the following question, select the odd word pair from the given alternatives.
• A.

Snakes : Reptiles

• B.

Buffalo : Mammal

• C.

Kiwi : Bird

• D.

Parrot : Mammal