SSC PHASE VII 2019 EXAM PAPER : Held on 16 October-2019
:: Quantitative Aptitude Basic Arithmetic Skills ::
Q1. In 2019 if there is a 10% increase in population of city A and a 15%
decrease in the population in B as compared to that in 2018, then the population
of city A is what percentage more/less than that in B in that year ? (correct to
one decimal places)
(a) 8.4% more
(b) 8.4% less
(c) 9.2% more
(d) 9.2% less
Q2. The profit earned by selling an article for Rs. 1083 is equal to the
loss incurred by selling the same article for Rs. 762. To gain 25% the same
article should be sold for ?
(a) Rs. 1200
(b) Rs. 1080
(c) Rs. 1170
(d) Rs. 1125
Q3. A dealer allows 36% discount on the marked price of an article and still
gains 28%. If the cost price of the article is reduced by 10%, how much discount
percent should be allowed now so as to get the same percentage of profit as
(a) 45.8 %
(b) 54.2 %
(c) 57.2 %
(d) 42.4 %
Q4. Alloys A and B contain copper and zinc in the ratio 1 : 3 and 3 : 5,
respectively. In which ratio A and B be mixed to get a new alloy containing
copper and zinc in the ratio 1 : 2 ?
(a) 3 : 4
(b) 2 : 1
(c) 1 : 2
(d) 4 : 5
Q5. If 1 - 3 (cot2 - cos2 ) = sin2 , 00 < <
90° , then what is the value of (2 sin + cos ) ?
Q6. If 9 + 2 (3x - xy + x2 ) + y2 = 0, then what is
the value of (3x2 - xy + x2 ) ?
Q7. In trapezium ABCD, AB ॥ DC . The sides AD and BC are produced to meet at
E. If AB = 15 cm, CD = 10 cm, AD = 4 cm and BC = 5 cm, then DE = ?
(a) 9 cm
(b) 10 cm
(c) 6 cm
(d) 8 cm
Q8. If x + 9y is divisible by 5, where x and y are integers, then what is
the remainder when 8x + 7y is divided by 5 ?
Q9. The ratio of monthly incomes of A and B is 3 : 4 and the ratio of their
monthly savings is 7 : 6, If the income of A is equal to twice the expenditure
of B, then what is the ratio of the expenditures of A and B ?
(a) 2 : 1
(b) 3 : 5
(c) 2 : 3
(d) 1 : 2
Q10. In ∠ABC , ∠C = 700 . The bisectors of ∠A and ∠B meet BC and AC in
points D and E, respectively. AD and BE interest each other at P. What is the
measure of DPB ?
Q11. If the 8-digit number 485x074y is divisible by 72 and the 6-digit
number 5z4678 is divisible by 11, then what is the value of (2x + 3y - z) ?
Q12. A can do a certain work in the same time in which B and C together can
do it. A and B together can do it in 10 days and C alone in 15 days. B alone can
do 200/3 of the same work in
(a) 36 days
(b) 45 days
(c) 30 days
(d) 40 days
Q13. The average of 61 numbers is 54. The average of first 31 numbers is
50.6 and last 31 numbers is 60.4. If the 31st number is excluded, then what is
the average of the remaining numbers ?
Q14. A sum amounts to 3872 in 2 years and to 4259.20 in 3 years at a certain
rate percent p.a, if the interest is compounded annually. What is the simple
interest on the same sum for 16/3 year at 6.75% p.a. ?
(a) Rs. 1240
(b) Rs. 1224
(c) Rs. 1152
(d) Rs. 1125
Q15. A and B start moving from a place X to Y and Y to X, respectively, at
the same time on the same day. After crossing each other, they complete their
meaning journey in 49/4 hours and x hours, respectively. If the ratio of the
speeds (in km/h) of A and B is 9 : 7, then what is the value of x ?
Q16. Anita spends 68% of her monthly income. If her monthly income increases
by 40% and the expenditure increases by 30%, then by what percent does her
saving increases ?
Q17. The cost price of two articles A and B are in the ratio 3 : 5. Rishu
earns a profit of 28% on A and loss 15% on B. What is her overall loss/gain
(a) Loss, 1.125%
(b) Gain, 1.125%
(c) Gain, 11.25%
(d) Loss, 11.25%
Q18. If x + y +z = 17, xy + yz + zx = 85, then what is the value of √x3
+ y3 + z3 - 3xyz ?
Q19. When the price of sugar increased by 28%, a family reduced its
consumption per month such that the expenditure on sugar was only 12% more than
before. If 10 kg sugar was consumed per month before the price rise, then what
was new consumption?
Q20. The average weight of some children in a group was 48.5 kg. When 6
students having average weight 50.4 kg left the group and 4 students having
average weight 56.55 kg joined the group, then the average weight of the
children in the group increased by 0.8 kg. The number of children, initially, in
the group was
Q21. The average population of city B for all the given years is what less
than the total population of city A for 2014, 2016 and 2018 ?
Q22. What is the ratio of the total population of city A for 2013, 2015 and
2017 to the total population of city B for 2015 and 2017 ?
(a) 6 : 5
(b) 7 : 6
(c) 17 : 25
(d) 7 : 8
Q23. If x2 - 3x + 1 = 0, then one of the values of x2
- 8x - 1 / x3 + 1/x is :
(a) √5 + 8 / 7
(d) √5-8 / 7
Q24. The sides of a triangular park are 36m, 105m and 111m. What is the cost
of leveling the park at Rs. 8.40 per m2 ?
(a) Rs. 15876
(b) Rs. 14112
(c) Rs. 14994
(d) Rs. 17640
Q25. If x = cosec 490 , then tan2 490 + 1/sin2 490 sec2
410 + sin2/ 410 + 1 / cosec2 490 is equal to :
(a) 2 + x2
(c) 1 + x2
(d) 1 / x2 + 1
1. (b) 2. (d) 3. (d) 4. (c) 5. (a) 6. (b) 7. (d) 8. (d) 9. (d) 10. (a)
11. (a) 12. (d) 13. (b) 14. (c) 15. (b) 16. (a) 17. (b) 18. (b) 19. (b) 20. (c)
21. (b) 22. (b) 23. (d) 24. (a) 25. (c)