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This mock test of SSC CPO Mock Test (Quant Apt) 5 for SSC helps you for every SSC entrance exam.
This contains 50 Multiple Choice Questions for SSC SSC CPO Mock Test (Quant Apt) 5 (mcq) to study with solutions a complete question bank.
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QUESTION: 1

The average age of a husband and wife was 23 years at the time of their marriage. After 5 years they have a one year old child. The average age of the family now is

Solution:

QUESTION: 2

Nine persons went to a hotel for taking their meals. Eight of them spent Rs 12 each over their meals and the ninth spent Rs 8 more than the average expenditure of all the nine. Total money spent by them was

Solution:

Let the average expenditure of all the nine be Rs. x.

Then. 12 × 8 + (x + 8) = 9x

⇒ x = 13

Total money spent = 9x = 9 × 13 = Rs. 117

QUESTION: 3

If 1/x = 3 and y = 4, then what is x in terms of y?

Solution:

QUESTION: 4

If α and β are the two roots of the equation 2x^{2}-7x-3=0, then find the value of (α+2)(β+2)

Solution:

QUESTION: 5

The price of 3 table-fans and 3 ceiling-fans is Rs 4,350.If the cost of 2 ceiling-fans and 1 table-fan is Rs 2,250,what is the cost of one ceiling fan?

Solution:
Let price of one table fan = Rs x

and price of one ceiling fan = Rs y

So 3x + 3y = 4350 .....(1)

x + 2y = 2250 .....(2)

Multiplying 2 in equation (1) and 6 in equation (2) we get

6x + 6y = 8700 .....(3)

6x + 12y = 13500 .....(4)

Subtracting equation (3) from equation (4) we get

6y = 4800

⇒ y = 800

So cost of one ceiling fan Rs 800

and price of one ceiling fan = Rs y

So 3x + 3y = 4350 .....(1)

x + 2y = 2250 .....(2)

Multiplying 2 in equation (1) and 6 in equation (2) we get

6x + 6y = 8700 .....(3)

6x + 12y = 13500 .....(4)

Subtracting equation (3) from equation (4) we get

6y = 4800

⇒ y = 800

So cost of one ceiling fan Rs 800

QUESTION: 6

The minute hand and the hour hand of a clock are 14 cm and 7 cm long respectively. The total distance covered by their tips in one day is

Solution:

Distance Travel by hour hand in one day is = 2 × 2 πr

= 2 × 2 × (22/7) × 7 = 88 cm

Distance Travel by minute hand in one day is = 2 πr × 24

= 2 × (22/7) × 14 × 24 = 2112 cm

Total distance covered by their tips is = 2112 + 88 = 2200 cm = 22m

QUESTION: 7

The equation of a st. line passing thro' the point (-5, 4) and which cuts off an intercept of √2 units between the lines

x + y + 1 = 0 and x + y - 1 = 0 is

x + y + 1 = 0 and x + y - 1 = 0 is

Solution:

QUESTION: 8

The wheel of a scooter has a diameter of 70 cm. The number revolution it must make to maintain a speed of 33 km/hour is

Solution:

QUESTION: 9

A sum invested for 2 years 4 months at the rate of pa compounded annually will amount to Rs. 14,641. The sum is closest to

Solution:

QUESTION: 10

The average of 20 numbers is 0. Of them atmost how many can be greater than zero?

Solution:

QUESTION: 11

A park is in form of a rectangle 120m x 100m. At the centre of the park is a circular lawn. The area of the park excluding the lawn is 10614 m^{2}. The cost of grass carpeting the lawn @ Rs. 27/m^{2} is

Solution:

Area of the park = 100 × 120

= 12000 m^{2}

Area of the park excluding the lawn = 10614 m^{2}

∴ The Area of the lawn = 12000 - 10614 = 1386 m^{2}

The Cost of fencing the lawn = Rs. (27 × 1386) = Rs. 37422.00

QUESTION: 12

If the arithmetic mean (A.M) of seventy five numbers is calculated, it is 35. If each number is increased by 5, then A.M.of new numbers is

Solution:

QUESTION: 13

A shopkeeper marks his goods 50% more than their cost price and them allows a discount of 20%. His gain or loss percent is

Solution:

QUESTION: 14

is equal to

Solution:

QUESTION: 15

Evaluate :[((2.39)²-(1.61)²)/((2.39)-(1.61))]

Solution:

QUESTION: 16

In the given figure AD and AF are tangents to the circle. Then the correct statement out of the following is

Solution:

BE = BD and CE = CF

pr. ∆ABC = AB + BE + CE + CA

= AB + BC + CF + CA

= AD + AF = 2AD[as AD = AF]

QUESTION: 17

Determine the value of ∠AOE

Solution:

QUESTION: 18

If in a parallelogram, the diagonals are equal and perpendicular, then it is a

Solution:

QUESTION: 19

All sides of a polygon of 36 sides are equal. Each of its interior angle is of mesure

Solution:

QUESTION: 20

The HCF of two numbers is 8. Which one of the following can never be their LCM?

Solution:

QUESTION: 21

The angle of elevation of an object from a point *P* on the level ground is α . Moving *d* metres on the ground towards the objcet, the angle of elevation is found to be β . Then the height (in metres) of the object is

Solution:

QUESTION: 22

A number when divided by 32 leaves the remainder 29.This number when divided by 8 will leave the remainder

Solution:

Let x be the number and y be the quotient

Then x = 32 × y + 29

= (8 × 4 × y) + (8 × 3) + 5

= 8 × (4y + 3) + 5

Hence required remainder is 5

QUESTION: 23

A candidate who gets 20% marks in examination fails by 30 marks but another candidate who gets 32% gets 42 marks more than the pass marks.Then the percentage of pass marks is

Solution:

QUESTION: 24

In a certain shop, which stocks four types of caps,there are 1/3 as many red caps as blue and 1/2 as many green caps as red caps. There are 42 blue caps, then what percent of the total caps in the shop are blue?

Solution:

QUESTION: 25

If 5% more is gained by selling an article for Rs 350, then by selling it for Rs 340,the cost of the article is

Solution:

Let C.P. be Rs x

Then, 5% of x = (350 - 340) = 10

⇒ x/20 = 10

⇒ x = 200

QUESTION: 26

A tap can empty a tank in one hour. A second tap can empty it in 30 minutes. If both the taps operate simultaneouslyy, how much time is needed to empty the tank?

Solution:

QUESTION: 27

The ratio between the sale price and the cost price of an article is 7:5. What is the ratio between the profit and the cost price of that article?

Solution:

QUESTION: 28

If data given to construct a triangle ABC are a = 5, b = 7, sin A = 3/4, then it is possible to construct :

Solution:

QUESTION: 29

The ratio of the numbers of boys and girls of a school with 504 students is 13:11. What will be the new ratio if 12 more girls are admitted?

Solution:

QUESTION: 30

Two liquids A and B are in the ratio 5 : 1 in container I and 1 : 3 in container II. In what ratio should the contents of the two containers be mixed so as to obtain a mixture of A and B in the ratio 1 : 1?

Solution:

QUESTION: 31

The two geometric means between 1 and 64 are

Solution:
The geometric progression is 1, c_{2}, c_{3}, 64

a = 1, c_{4} = ar^{4 - 1} = 1(r)^{3} = 64

Thus r = 4

c_{2} = 4 and c_{3} = 4.4 = 16

The two geometric means are 4 and 16

a = 1, c

Thus r = 4

c

The two geometric means are 4 and 16

QUESTION: 32

The simple interest on a sum of money is 1/4 of the principal. If number of yrs is equal to rate % per annum, the interest rate is

Solution:

QUESTION: 33

The least number that must be added to 2887 so that the sum may be a perfect square is

Solution:

QUESTION: 34

A train 110 m long takes 3 seconds to pass a standing man. How long is the platform if the train passes through it in 15 seconds moving with the same speed?

Solution:

Speed of the train = 110/3 m/s

∴ Length of the platform

= Speed of train x Time taken to pass the platform

= ( 110/3 x 15) m = 550 m

QUESTION: 35

If a man can cut the grass of a lawn in M minutes, what part of the lawn\'s grass can be cut in 25 minutes?

Solution:

QUESTION: 36

If sin (π cosθ)=cos(π sinθ), then the value of cos (θ+π/4)

Solution:

QUESTION: 37

cos 40°+cos 80°+cos 160°+cos 240°

Solution:

QUESTION: 38

If A+B+C=π, then cos2A+cos2B+cos2C=

Solution:

QUESTION: 39

Water flows through a cylindrical pipe of internal diameter 7 cm at 2 m per second. If the pipe is always half full, then what is the volume of water (in litres) discharged in 10 minutes?

Solution:

QUESTION: 40

If a metallic cuboid weighs 16 kg, how much would a miniature cuboid of metal weigh, if all dimensions are reduced to one-fourth of the original?

Solution:

QUESTION: 41

A cube of edges 5 cm is cut into cubes each of edge 1 cm. The ratio of the total surface area of one of the small cubes to that of the large cube is equal to :

Solution:

QUESTION: 42

**In a school the periodical examinations are held every second month. In a session during April 2001-March 2002, a student of Class IX appeared for each of the perodical exams. The aggregate marks obtained by him in each periodical exam are represented in the line graph given below. Study the graph and answer the question based on it given below.
Marks obtained by a student in six periodical exams held in every two months during the years in the session 2001-02. Maximum total marks in each periodical exam = 500.**

**Q. **The total number of marks obtained in Feb. 02 is what per cent of the total marks obtained in Apr. 01 ?

Solution:

From the graph that the student obtained 360, 365, 370, 385, 400 and 405 marks in periodical exams held in Apr 01, Jun 01, Aug 01, Oct 01, Dec 01 and Feb 02 respectively.

Required percentage = (405/360 × 100) % = 112.5%

QUESTION: 43

**In a school the periodical examinations are held every second month. In a session during April 2001-March 2002, a student of Class IX appeared for each of the perodical exams. The aggregate marks obtained by him in each periodical exam are represented in the line graph given below. Study the graph and answer the question based on it given below.
Marks obtained by a student in six periodical exams held in every two months during the years in the session 2001-02. Maximum total marks in each periodical exam = 500.**

**Q. **What are the average marks obtained by the student in all the periodical exams during the last session ?

Solution:

Average marks obtained in all the periodical exams

= 1/6 × [360 + 365 + 370 + 385 + 400 + 405] = 380.83 ≈ 381

QUESTION: 44

**In a school the periodical examinations are held every second month. In a session during April 2001-March 2002, a student of Class IX appeared for each of the perodical exams. The aggregate marks obtained by him in each periodical exam are represented in the line graph given below. Study the graph and answer the question based on it given below.
Marks obtained by a student in six periodical exams held in every two months during the years in the session 2001-02. Maximum total marks in each periodical exam = 500.**

**Q. **What is the percentage of marks obtained by the student in the periodical exams of Aug. 01 and Oct. 01 taken together ?

Solution:

QUESTION: 45

Marks obtained by a student in six periodical exams held in every two months during the years in the session 2001-02. Maximum total marks in each periodical exam = 500.

**Q. **In which periodical exams there is a fall in percentage of marks as compared to the previous periodical exams ?

Solution:

As is clear from the graph, the total marks obtained in periodical exams, go on increasing.

Since, the maximum marks for all the periodical exams are the same; it implies that the percentage of marks also goes on increasing.

Thus, in none of the periodical exams, there is a fall in percentage of marks compared to the previous exam.

QUESTION: 46

**Above circle graph shows the composition of Exports and Imports percent during 1998-99. Study the graph carefully and answer the questions.**

**Q. **India's trade balance during the year 1998-99 was

Solution:

As observable from the above pie-charts, imports are greater than exports.

∴∴ India's trade balance is unfavourbale

QUESTION: 47

**Above circle graph shows the composition of Exports and Imports percent during 1998-99. Study the graph carefully and answer the questions.**

**Q. **Maximum export contribution has been due to

Solution:

As observable from the graph, maximum export contribution is due to Manufactured goods

QUESTION: 48

**Above circle graph shows the composition of Exports and Imports percent during 1998-99. Study the graph carefully and answer the questions.**

**Q. **The import of capital goods and other bulk items incurred nearly ___ of total expenditure.

Solution:

Required % = (16.6 +35.9)% = 52.5%

Required Answer = 50%

QUESTION: 49

**Q. **The imports exceeded exports by about ____ millions.

Solution:

Imports exceeded by US $ (41857.9-33650.5) million ≈ US $ 8200 million

QUESTION: 50

**Q. **The export of agriculture and allied products was to the tune of US$.

Solution:

Export of agricultural and allied products (in US$)

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