Daily Updates Mock Test 33
50 Questions
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Questions and Answers
- 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.
Adamant
- B.
Stubborn
- C.
Tenacious
- D.
Lenient
- 36.Select the odd word/letters/number/number pair from the given alternatives.
- A.
XAD
- 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]( "Identify the diagram that best represents the relationship among classes given below
Tennis fans, Cricket players, Students")
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
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