Special Quant Quiz (Arithmetic) SSC CGL Tier-II 2016


Q1. Anil had to do a multiplication. Instead of taking 35 as one of the multiplies, he took 53. As a result the product went up by 540. What is the new product?  
(a) 1050
(b) 540
(c) 1440
(d) 1590
S1. Ans.(d)
Sol. Let the number be x.
Increase in product = 53x – 35x = 18x = 18x = 540 ⇒ x = 30
Hence, new product = 53 × 30 = 1590. Hence, option (d) is the
answer.  

Q2. What is the least number of soldiers in a regiment, such that they stand in rows of 18, 15 and 25 and also from a solid square?  
(a) 1800
(b) 225
(c) 900
(d) None of these 

S2. Ans.(c)
Sol. Number of soldiers should be a multiple of 18, 15 and 25 ⇒
Number should be a multiple of LCM (18, 15, 25)
Now lowest multiple of 450 that is a perfect square = 900. Hence
option (c) is the answer.    

Q3. The average weight of 5 apples is 100 g and the average weight of 4 oranges is 80 g. If 2 apples and 2 oranges are picked from them that average weight is found to be 85 g. What is the average weight of the remaining apples and oranges?    
(a) 88 g
(b) 90 g
(c) 96 g
(d) 95 g

S3. Ans.(c)
Sol. Weight of 5 apples = 500 g
Weight of 4 apples = 320 g
Weight of 2 apples and 2 oranges picked = 340 g
So, weight of 3 apples and 2 oranges remaining = (500 + 320 –
340)g = 480 g  
Average weight = 480/5 = 96 g
Q4. In an exam the average was found to be p marks. After deducting typographical error the average marks of 94 students reduced from 84 to 64. Due to his the average came down by 18.8 marks? What was the number of students who took the exam?  
(a) 100
(b) 90
(c) 110
(d) 120

S4. Ans.(a)
Sol. Number of students = (84 – 64) × 94/18.8 = 100
Q5. Tanuj Johri travels from X to Y at a speed of 40 kmph and returns by increasing his speed by 50%. What is his average speed for the whole journey?  
(a) 36 kmph 
(b) 45 kmph 
(c) 48 kmph 
(d) 50 kmph


Q6. Price of sugar has increased by 20%, however, expenses in sugar has increased by 40%. By what percentage has the consumption of sugar increased?  
(a) 25%
(b) 20%
(c) 33.33%
(d) 16.66%  
Q7. A shopkeeper sells his articles at CP but uses a faulty balance which reads 1000 gm for 750 gms. What is his actual profit percentage?  
(a) 33.33%
(b) 25%
(c) 16.66%
(d)  14.28%

S7. Ans.(a)
Sol. Since while selling, 750 g = 1 kg
So, 250 gms = 1/3 kg
So, profit = 1/3 = 33.33%
Q8. A seller buys 50 kg oranges for Rs 525 and gains a profit equal to the selling price of 10 kg of oranges. Find the selling price per kg of oranges (Rs/kg).   
(a) 12.60
(b) 11.60
(c) 10.20
(d) 13.125 

S8. Ans.(d)
Sol. Assume that the selling price per kg = Rs. X/kg
50X – 525 = 10X ⇒ 40X = 525
So, X = Rs. 13.125 kg  

Q9. The students in three sections of IIML are in the ratio 2 : 3 : 5. If 20 students are increased in each section, the ratio changes to 4 : 5 : 7. The total number of students in the three sections before the increase are-  
(a) 75
(b) 90
(c) 100
(d) 150

S9. Ans.(c)
Sol. Go through the options. Since the sum of ratios = 10, so
total number of students should be multiple of 10. Now check the options one by
one.
 
Q10. A bag contains Rs 216 in the form of one rupee, 50 paise and 25 paise coins in the ratio of 2 : 3 : 4. The number of 50 paise coins is:  
(a) 96
(b) 144
(c) 114
(d) 141

S10. Ans.(b)
Sol. Let number of one-rupee coins = 2 K
Number of 50-paise coins = 3 K
Number of 25-paise coins = 4 K
2K × Rs. 1 + 3 K × Rs. 0.5 + 4K × Rs. 0.25 =
Rs. 216
⇒ 2 K + 1.5K + K = 216
K=48
The number
of 50 paise coins=3K=144

Q11. A 85 cm long wire is to be cut into two pieces such that one piece will be two third as long as the other. What will the length of the shorter piece (in centimeters)?  
(a) 32
(b) 18
(c) 27
(d) 34


Q12. A and B together can do a work in 12 days, B and C together can do the same work in 10 days and A and C together can do the same work in 8 days. In how many days will the work be complete if A, B and C are working together?  
(a) 6.48 days  
(b) 7.2 days  
(c) 6 days  
(d) 6.25 days  

Q13. A can do a 2/3rd of a work in 10 days, B can do 3/4th work in 12 days and C can do 2/3rd work in 6 days. If all work together, how many day will it take to complete the whole work? 
(a) 10 days 
(b) 12 days 
(c) 13 days 
(d) None of these 


Q14. A can do a work in 12 days and B does the same work in 18 days. Efficiency of C is 3/2 times the efficiency of A. in how many days, all of them working together will do the job?  
(a) 3.8 days
(b) 4 days
(c) 3 days
(d) None of these 


Q15.  A is 40% more efficient than B, and B is 20% less efficient than C. If A can do a work in 50 days. In how many days all of them together can do the whole work?  
(a) 19.17 days.
(b) 6 days 
(c) 12 days 
(d) 27 days 

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