Special Quantitative Aptitude Quiz (Misc.) SSC CGL Tier-I 2017 and Banking Exams

Q1. A square and a rectangle have equal areas. If their perimeters are p_1 and p_2 respectively, then:

Q2. ABC is a right-angled triangle with right angle at B. If the semi-circle on AB with AB as diameter encloses an area of 81 sq. cm and the semi-circle on BC with BC as diameter encloses an area of 36 sq. cm, then the area of the semi-circle on AC with AC as diameter will be:
(a) 117 cm^2
(b) 121 cm^2
(c) 217 cm^2
(d) 221 cm^2

Q3. The difference between the circumference and the radius of a circle is 37 cm. The area of the circle is:
(a) 111 cm^2
(b) 148 cm^2
(c) 154 cm^2
(d) 259 cm^2

Q4. 2 metres broad pathway is to be constructed around a rectangular plot on the inside. The area of the plot is 96 sq. m. The rate of construction is Rs. 50 per square metre. Find the total cost of the construction
(a) Rs. 2400
(b) Rs. 4000
(c) Rs. 4800
(d) Data inadequate

Q5. The length of a blackboard is 8 cm more than its breadth. If the length is increased by 7 cm and breadth is decreased by 4 cm, the area remains the same. The length and breadth of the blackboard (in cm) will be:
(a) 28, 20
(b) 34, 26
(c) 40, 32
(d) 56, 48

Q6. A milk vendor has 2 cans of milk. The first contains 25% water and the rest is milk. The second contains 50% water. How much milk should he mix from each of the containers so as to get 12 litres of milk such that the ratio of water to milk is 3 : 5?
(a) 4 litres, 8 litres
(b) 6 litres, 6 litres
(c) 5 litres, 7 litres
(d) 7 lites, 5 litres

Q7. The cost of Type 1 rice is Rs. 15 per kg and Type 2 rice is Rs. 20 per kg. If both Type 1 and Type 2 are mixed in the ratio of 2 : 3, then the price per kg of the mixed variety of rice is:
(a) Rs. 18
(b) Rs. 18.50
(c) Rs. 19
(d) Rs. 19.50

Q8. The speed of a boat in still water is 10 km/hr. If it can travel 26 km downstream and 14 km upstream in the same time, the speed of the stream is:
(a) 2 km/hr
(b) 2.5 km/hr
(c) 3 km/hr
(d) 4 km/hr

Q9. Speed of a boat in standing water is 9 kmph and the speed of the stream is 1.5 kmph. A man rows to a place at a distance of 105 km and comes back to the starting point. The total time taken by him is:
(a) 16 hours
(b) 18 hours
(c) 20 hours
(d) 24 hours

Q10. The distance between two cities A and B is 330 km. A train starts from A at 8 a.m. and travels towards B at 60 km/hr. Another train starts from B at 9 a.m. and travels towards A at 75 km/hr. At what time do they meet?
(a) 10 a.m.
(b) 10.30 a.m.
(c) 11 a.m.
(d) 11.30 a.m.

Q11. A, B and C are on trip by a car. A drives during the first hour at an average speed of 50 km/hr. B drives during the next 2 hours at an average speed of 48 km/hr. C drives for the next 3 hours at an average speed of 52 km/hr. They reached their destination after exactly 6 hours. Their mean speed was:
(a) 50 km/hr
(b) 501/3 km/hr
(c) 511/3 km/hr
(d) 52 km/hr

Q12. Two workers A and B are engaged to do a work. A working alone takes 8 hours more to complete the job than if both worked together. If B worked alone, he would need 41/2 hours more to complete the job than they both working together. What time would they take to do the work together?
(a) 4 hours
(b) 5 hours
(c) 6 hours
(d) 7 hours

Q13. A and B can do a work in 8 days, B and C can do the same work in 12 days. A, B and C together can finish it in 6 days. A and C together will to it in: 
(a) 4 days
(b) 6 days
(c) 8 days
(d) 12 days

Q14. A, B and C started a shop by investing Rs. 27,000, Rs. 72,000 and Rs. 81,000 respectively. At the end of the year, the profits were distributed among them. If C’s share of profit be Rs. 36,000, then the total profit was:
(a) Rs. 80,000
(b) Rs. 95,600
(c) Rs. 1,08,000
(d) Rs. 1,16,000

Q15. A, B, C started a business with their investments in the ratio 1 : 3 : 5. After 4 months, A invested the same amount as before and B as well as C withdrew half of their investments. The ratio of their profits at the end of the year is:
(a) 4 : 3 : 5
(b) 5 : 6 : 10
(c) 6 : 5 : 10
(d) 10 : 5 : 6

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Quantitative aptitude Quiz For SSC CGL and IBPS RRB Exam

Dear Readers,

Here we are providing a Quantitative aptitude Quiz in accordance with the syllabus of SSC CGL T-1 and IBPS RRB, This post comprises 15 important Questions of Arithmetic which will really help you getting more marks in final exam.

Q4. The average weight of 3 men A, B and C is 84 kg. Another man D joins the group and the average now becomes 80 kg. If another man E Whose weight is 3 kg more than that of D, replaces A, then the average weight of B, C, D and E becomes 79 kg. The weight of A is:
(a) 76
(b) 65
(c) 75
(d) 50


Q5. There were 35 boys in a hostel. If the number of boys increases by 7, the expenses of the mess increase by Rs. 42 per day while the average expenditure per head diminishes by Re 1. Find the original expenditure of the mess.
(a) 430
(b) 440
(c) 420
(d) 350


Q6. The average monthly salary of the workers in a workshop is Rs. 8500. If the average monthly salary of 7 technicians is Rs. 10000 and average monthly salary of the rest is Rs. 7800, the total number of workers in the workshop is:
(a) 18
(b) 20
(c) 22
(d) 24

Q7. The average age of three boys is 16 years. If their ages are in the ratio 4 : 5 : 7, then the age of the youngest boy is:
(a) 8 years
(b) 9 years
(c) 12 years
(d) 16 years

Q8. What quantity of water should be taken out to concentrate 16 litres of 30% acidic liquid to 40% acidic liquid?
(a) 5l
(b) 6l
(c) 4l
(d) 8l

Q9. Two numbers are less than a third number by 30% and 37% respectively. How much percent is the second number less than the first?
(a) 10%
(b) 15%
(c) 20%
(d) 25%

Q10. Anupam purchased 5 Lemons for Rs. 4. He sold all the Lemons and earned 75% Profit. At what rate did he sell the Lemons?
(a) 4.1RS
(b) 1.4RS
(c) 2RS
(d) 3RS


Q11. A dealer wants to earn 20% profit on an article after offering 25% discount to the customer. If the cost price of an item is Rs. 400, then the mark price (label price) of the article would be
(a) 500
(b) 400
(c) 440
(d) 640


Q12. P, Q and R can do a piece of work in 10, 12 and 15 days respectively, they start working together but R leaves after working 3 days and Q, 4 days before the completion of work. In how many days the work was finished?
(a) 7(2/11) days
(b) 6(2/11) days
(c) 8(2/11) days
(d) 9(2/11) days

Q13. A does 4/5th of a work in 20 days. He then calls in B and they together finish the remaining work in 3 days. How long B alone would take to do the whole work?
(a) 47 (1/2) days
(b) 36 (1/2) days
(c) 37 (1/2) days
(d) 39 (1/2) days

Q14. In 1 minute 3/7 of a bucket is filled. The rest of the bucket can be filled in.
(a) 2 minutes
(b) 4/3 minutes
(c) 7/3 minutes
(d) None of these

Q15. Two pipes can fill a tank in 20 minutes and 30 minutes respectively. If both the pipes are opened simultaneously, then the tank will be filled in
(a) 10 minutes
(b) 12 minutes
(c) 15 minutes
(d) 25 minutes

SOLUTIONS

S4. Ans.(c)

Sol. A + B + C = (3 × 84) kg = 252 kg

A + B + C + D = (4 × 80) kg = 320 kg

D = (320 – 252) kg = 68 kg

E = (68 + 3) kg = 71 kg

B + C + D + E = (4 × 79) kg = 316 kg

B + C + D = (316 – 71) kg = 245 kg

A = (320 – 245) kg = 75 kg

S5. Ans.(c)

Sol. Suppose the average expenditure was Rs. x. Then total expenditure = 35x.

When 7 more boys join the mess, total expenditure = 35x + 42

Now, the average expenditure

=(35x+42)/(35+7)=(35x+42)/42

Now, we have (35x + 42)/42 = x – 1 

Or, 35x + 42 = 42x – 42 

Or, 7x = 84

⇒ x = 12

Thus the original expenditure of the mess

= 35 × 12 = Rs. 420

S6. Ans.(c)

Sol. Let the total number of workers be x. Then,

(7 × 10000) + (x – 7) 7800 = 8500x

⇒ 70000 + 7800x – 54600 = 8500x

⇒ 700x = 15400

⇒ x = 22

∴ Total number of workers in the workshop = 22

S7. Ans.(c)

Sol. Sum of the ages of 3 boys = (16 × 3) = 48 years

Ratio of their ages = 4 : 5 : 7

Age of the youngest = (48×4/16) = 12 years

S8. Ans.(c)

Sol. Quantity of evaporated water 

= Original quantity of solution ((% Diffrence of sugar)/(Final % of sugar))

= 16 ((40-30)/40)=4l

S9. Ans.(a)

Sol. Let the 3rd number be 100.

Then, 1st number = 70, 2nd number = 63

2nd number is less than 1st by = (7/70×100)%

= 10%

S10. Ans.(b)

Sol. Cost price for 5 Lemon is Rs. 4

So SP for 5 Lemon = 4 × ((100 + 75))/100 = Rs. 7

So, SP for 1 Lemon = 7/5 = Rs. 1.4

S12. Ans.(b)

Sol. Let the work be finished in x days.

x/10+(x-4)/12+3/15=1

or, x = 62/11 days

S13. Ans.(c)

Sol. 4/5 work is done by A in 20 days.

Whole work is done by A in

= (20×5/4) = 25 days

1/5th work is done by (A + B) in 3 days.

Whole work is done by (A + B) in (3 × 5) days = 15 days.

B’s 1 day’s work = (1/15-1/25)=2/75

1 B alone can finish the work in = 75/2=37 1/2 days

S14. Ans.(b)

Sol. Part filled in 1 min = 3/7

Remaining part = (1-3/7)=4/7

Let the required time be x min.

More part, more time taken. 

⇒xy/(y-x)

⇒3/7 x=(4/7×1)

⇒ x = 4/3 min

S15. Ans.(b)

Sol. Part filled by both pipes in 1 min

=(1/20+1/30)=5/60=1/12

Time taken to fill the tank = 12 minutes.

If Any Discuss to Me Drop Your Comment Thanks For visiting

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