# Daily Updates Mock Test 48

50 Questions | Total Attempts: 105

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MOCK TEST 48 SYLLABUS : MATHS , ENGLISH TIME : 40 MINUTES FULL MARKS : 50*5 = 250 EACH QUESTION CARRIES 5 MARKS , - VE MARKING = - 1/ WRONG ANSWER আজকের মোক টেস্ট নেওয়া হবে রাত 9. 30 PM থেকে , এই মোক টেস্ট দেওয়া যাবে কাল সকাল 11 টা পর্যন্ত OUR FACEBOOK GROUP : DAILY UPDATES ( https://www. Facebook. Com/groups/1804599589763711/) OUR FACEBOOK PAGE : STUDY MATERIALS FOR ALL ( https://www. Facebook. Com/Studymaterialsforall2017/ ) OUR TELEGRAM CHANNEL LINK : STUDY MATERIALS FOR ALL ( https://t. Me/studymaterials4all )

• 1.
If a hemisphere is melted and four spheres of equal volume are made, the radius of each sphere will be equal to
• A.

1/4th of the hemisphere

• B.

• C.

1/2 of the radius of the hemisphere

• D.

1/6th of the radius of the hemisphere

• 2.
A boat takes half time in moving a certain distance downstream than upstream. The ratio of the speed of the boat in still water that of the current is
• A.

2 : 1

• B.

4 : 3

• C.

1 : 2

• D.

3 : 1

• 3.
The compound interest on Rs. 5,000 for 3 years at 10% p.a. will amount to:
• A.

Rs. 1,654

• B.

Rs. 1,655

• C.

Rs. 1,600

• D.

Rs. 1,565

• 4.
Triangle ABC is an isosceles triangle and AB=AC=2a units, BC = a unit.Draw AD perpendicular to BC and find the length of the AD.
• A.

√15 a unit

• B.

√15/2 a unit

• C.

√17 a unit

• D.

√17/a unit

• 5.
BL and CM are median of triangle ABC , right angled at A and BC = 5 cm , if BL = (3√5)/2  cm , then the length of CM is
• A.

2√5 cm

• B.

5√2 cm

• C.

10√2 cm

• D.

2√10 cm

• 6.
In a circle of radius 17 cm, two parallel chords of length 30 cm and 16 cm are drawn. If both chords are on the same side of the centre. Then the distance between the chords is
• A.

9 cm

• B.

7 cm

• C.

23 cm

• D.

11 cm

• 7.
If x sin 45 = y cosec 30, then x⁴/y⁴ is equal to:
• A.

• B.

• C.

• D.

• 8.
If (sec² 70-cot² 20)/(2 cosecc²  59 - tan² 31) =2/m, then m is equal to
• A.

2

• B.

3

• C.

4

• D.

1

• 9.
Three years ago, the average age of a family of 5 members was 17 years. A baby having been born, the average of the family remains the same today. The age of the baby today is
• A.

2.5 years

• B.

2 years

• C.

1 year

• D.

1.5 years

• 10.
In the given figure, BC = AC=AD, angle EAD = 81, Find the value of x?
• A.

45°

• B.

54°

• C.

63°

• D.

36°

• 11.
If two circles are such that the centre of each lies on the circumference of the other, then the ratio of the common chord of two circles to the radius of any of the circle is:
• A.

√3 :2

• B.

√3 :1

• C.

√5 :1

• D.

None of these

• 12.
If ∛a+ ∛b= ∛c then the simplest value of (a+b-c)³+27abc is
• A.

-3

• B.

0

• C.

-1

• D.

3

• 13.
A container of 64 liter was full of milk. 16 liter milk was drawn off and replaced by water and this process is repeated two times more. Find quantity of water in the mixture now.
• A.

37 liter

• B.

27 liter

• C.

21 liter

• D.

36 liter

• 14.
In what time will Rs. 10000 amount to Rs. 13310 at 20% per annum compounded half yearly?
• A.

1½ years

• B.

2 years

• C.

2½ years

• D.

3 years

• 15.
A sum of Rs. 2525 is lent out in two parts in such a way that the interest on one part at 7% for 4 years is equal to that on another part at 6% for 7 years. Find the difference between the two parts of the sum.
• A.

Rs. 505

• B.

Rs. 1515

• C.

Rs. 1010

• D.

None of these

• 16.
The total age of A and B is 12 years more than the total age of B and C. C is how many years younger than A ?
• A.

12

• B.

13

• C.

14

• D.

15

• 17.
The ratio of Ram’s present age to Mohan’s present age is 5 : 6.  8 years hence this ratio changes to 7 : 8 Find their present age of Ram.
• A.

18

• B.

19

• C.

20

• D.

21

• 18.
If salary of X is 20% more than salary of y, then by how much percentage is salary of y less than X?
• A.

25

• B.

20

• C.

50/3

• D.

65/4

• 19.
A can do a piece of work in 24 days. If B is 60% more efficient than A. then how many days does B require to do the same work?
• A.

12

• B.

15

• C.

16

• D.

18

• 20.
The value of equipment depreciates by 20% each year. How much less will the value of the equipment be after 3 years?
• A.

48.8%

• B.

51.2%

• C.

54%

• D.

60%

• 21.
In an examination, 93% of students passed and 259 failed. The total number of students appearing at the examination was
• A.

3700

• B.

3850

• C.

3950

• D.

4200

• 22.
A boat goes 12 km upstream in 3 hours. If the speed of the current is 3 km/ hr, then the speed (in km/ hr) of the boat in still water is
• A.

12

• B.

9

• C.

8

• D.

7

• 23.
If the difference between the S.I. and C.I. on a certain amount at 10% per annum for 2 years is Rs. 20, then the sum is :
• A.

Rs. 4000

• B.

Rs 2000

• C.

Rs. 1500

• D.

Rs. 3000

• 24.
Profit on selling the watch at Rs. 850 is equal to loss on selling it at Rs. 650. What is the cost-price of the watch?
• A.

Rs. 720

• B.

Rs. 750

• C.

Rs. 800

• D.

Rs. 735

• 25.
The sum of first 20 odd natural numbers is equal to :
• A.

210

• B.

300

• C.

400

• D.

420

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