Special Quant Quiz for SSC CGL 2016

For the first time SSC examination will be held in Computer Based pattern and managing time will be one of the important factor while solving the questions. So in order to make students familiar with such a situations we are providing questions in a time based manner , which will help students to manage the time properly.

1. At present Ayushi is eight times her daughter’s age. Eight years from now, the ratio of the ages of Ayushi and her daughter will be 10 : 3 respectively. What is Ayushi’s present age ?

32 years

40 years

36 years

Can’t say

Solution:

1. (a) Let the age of Ayushi’s daughter be x.
Then Ayushi’s age is 8x. (8x + 8)/ (x + 8) = 10/3 x = 4
Ayushi present age = 8x = 32 years.

2. In how many different ways can 4 boys and 3 girls be arranged in a row such that all the boys stand together and all the girls stand together?

75

576

288

24

Solution:

2. (c) Required number of ways = 4! * 3! * 2! = 288.

3. A radio is sold for Rs 990 at a profit of 10%. What would have been the gain or loss in percentage had it been sold for Rs 880?

19/3% gain

17/3% loss

17% gain

20/9% loss

Solution:

3. (d) Let the CP is Rs x.
Then, x * 110/100 = 990 x = 900
Now CP is Rs 900 and SP is 880.
% loss = 20/900 * 100 = 20/9%

4.The population of a city is 1500000. It increases by 10% during 1st yr, decreases by 20% in 2nd yr and increases by 30% in the 3rd yr. The population after 3 yris ?

1716000

1750000

1650000

1600000

Solution:

4. (a) Initial population = 15,00000;
After first year increment of 10 %, population = 1500000 + 10/100 × 1500000 = 1650000
After second year decrement of 20%, population = 1650000 - 20/100 × 1650000 = 1320000
After increment of 30 % in third year = 1320000 + 30/100 × 1320000 = 1716000

5. A, B and C undertake to complete a piece of work for Rs 1950. A works for 8 days, B for 9 days and C for 12 days to complete the work. If their daily wages are in the ratio of 3 : 5 : 4, how much C get?

400

750

675

800

Solution:

5. (d) Daily wages are in the ratio 3 : 5 : 4 ,
working days of A,B,C = 8,9 and 12
so the wages they get will be in ratio 24 : 45 : 48,
Share of C = 48/(24+45+48) × 1950 = Rs 800

6. A fruit seller buys mangoes at the rate of 15 for 12 and sells them at the rate of 15 per dozen. Find his gain percentage.

25.65%

32.25%

51.35%

56.25%

Solution:

6. (d) C.P. of one mango = 12/15 = 80 paise ;
S.P. of one mango = 15/12=Rs 1.25 ;
Gain = 45 paise ,
Gain %= 45/80 × 100 = 56.25 %

7. A vendor buys oranges at Rs. 2 for 3 oranges and sells them at a rupee each. To make a profit of Rs. 10, he must sell :

10 oranges

20 oranges

30 oranges

40 oranges

Solution:

7.(c) suppose he sells x oranges.
Then, C.P. = Rs.(2/3*x) = Rs.2x/3 and
S.P. = Rs.x so x -2x/3 = 10 or x = 30

8. If an article is sold at a gain of 6% instead of at a loss of 6%, then the seller gets Rs. 6 more. The cost price of the article is :

Rs. 50

Rs. 94

Rs. 100

Rs. 106

Solution:

8. (a) Let C.P = Rs.x.
Then, 106% of x - 94% of x = 6
12% of x = 6
so x = (6*100/12) = 50

9. An article is sold at a certain price. By selling it at 2/3 of that price one loses 10%. The gain per cent at original price is :

33 (1/3 )%

35%

40%

20%

Solution:

9. (b) Let C.P be Rs. 100
Then S.P at 10% loss = Rs. 90.
2/3 of actual S.P. = Rs. 90
=> Actual S.P. = (90*3/2) = Rs. 135
so Gain = 35 %

10. A shopkeeper bought pens at the rate of 7 for Rs. 10 and sold them at a profit of 40%. How many pens would customer get for Rs. 14?

7

10

9

11

Solution:

10. (a) Cost price of 1 pen = 10/7,
sale price of 1 pen = (1.4*10)/7 = Rs.2
No. of pens = 14/2 = 7