After successfully completing the CAT 2016 sprint series, we are back with the SNAP 2016 sprint preparation series – Quant 7 to boost your prep. This will continue for the last 10 days leading to SNAP 2016 and will cover almost all the question types that you need to know come the 18th of December.
SNAP 2016 sprint preparation series – Quant 7
Directions for questions 1 – 5: Each of the following questions is followed by two statements. Mark
(1) if statement I alone is sufficient to answer the question.
(2) if statement II alone is sufficient to answer the question.
(3) if both statement I and II together are necessary to answer the question.
(4) if both statements I and II together are not sufficient to answer the question.
1. If C1 and C2 are the circumferences of the outer and inner circles respectively. What is C1 : C2?
a. The two circles are concentric.
b. The area of the ring is 2/3 the area of greater circle.
2. What is the middle number of 7 consecutive whole numbers?
a. Product of number is 702800
b. Sum of the number is 105
3. Total marks obtained by P, Q, R and S in Mathematics is 360. How many marks did P secure in Mathematics?
I. P secured one-third marks of the total of Q, R and S.
II. Average marks obtained by Q and R are 20 more than that secured by S.
4. How many ice cubes can be accommodated in a container?
I. The length and breadth of the container is 20 cm and 15 cm respectively.
II. The edge of the ice cube is 2 cm.
5. Ram got Rs 1500 as dividend from a company. What is the rate of interest given by the company?
I. The dividend paid last year was 10%.
II. Ram has 350 shares of Rs 10 denomination.
Directions for questions 6 – 9: Refer to the following bar diagram showing the sales (in Rs. Crores) of top market brands among pain killers in India and answer the questions.
6.What is the difference between the sales of Voveran in 2006 and those of Calpol in 2005 in Rs lac?
a. 1000
b. 50
c. 100
d. 500
7. Percentage of increase in sales from 2005 to 2006 is the highest for which brand of a pain killer?
a. Voveran
b. Volini
c. Dolonex
d. Sumo
8. Percentage increase in sales from 2005 to 2006 is the lowest for which brand of a pain killer?
a. Voveran
b. Volini
c. Moov
d. Nise
9. What is the approximate percentage of increase in the sales of Voveran from 2005 to 2006?
a. 35%
b. 40%
c. 45%
d. 50%
10. Which of the designs best completes the following sequence?
11. What is the number that is one half of one quarter of one tenth of 400?
a. 2
b. 5
c. 8
d. 10
12. Consider a square ABCD with midpoints E, F, G and H of sides AB, BC, CD and DA. Let L denote the line passing through F and H.Consider points P and Q on the line L inside the square such that the angles APD and BQC are both equal 120°. What is the ratio ABCQPD to the remaining area of ABCD?
a. 4 + √2/3
b. 2√3 – 1
c. 2 + √3
d. (10 – 3√3)/9
13. The Price of Darjeeling Tea (in rupees per kilogram) is 100 + 0.1n, on the nth day of a non-leap year (n = 1, 2, 3, … 100) and then remains constant. On the other hand the price of Ooty tea (in rupees per kilogram) is 85 + 0.15n, on the nth day (n = 1, 2, … , 365). On which date of that year will the prices of these two varieties of the tea be equal?
a. 27th October
b. 16th June
c. 15th June
d. 28th October
14. For what range of values of x, will be the inequality 15x – (2/x) > 1?
a. x > 0.4
b. x < 1/3
c. -1/3 < x < 0.4, x > 15/2
d. None of these
15. How many litres of a 30% alcohol solution should be added to 40 litres of a 60% alcohol solution to prepare a 50% solution?
a. 30
b. 20
c. 24
d. 32
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Solutions:
1. Option b is correct. We come to know the ratio of the two areas and so, can get the ratio of their radii too.
2. 702800 = 7*2*2*2*2*25*251. So, we can see that there cannot be 7 consecutive integers whose product is 702800 and so, statement 1 is insufficient. Using statement 2 we can easily figure out that the middle number is 15. Option b.
3. Statement a is sufficient to get the value of P. Statement b is not sufficient as we cannot get a unique value. Option a.
4. As we do not know the depth, we cannot find the number of ice cubes that can be fit. Option d.
5. Statement b is sufficient. Option b.
6. 10 crores or 1000 lakhs. Option a.
7. Voveran is 16 to 23, Volini is 7 to 9, Dolonex is 6 to 10, and Sumo is 5 to 7. Option c is the highest.
8. Moov is 4 to 5 and Nise is 15 to 18. Option d is the least.
9. Voveran increased from 16 to 23 and so, the increase is by 7/16 or slightly less than 45%. Option c is the closest. Remember that in these types, it is extremely difficult to go for exact values and so, approximation helps a lot.
10. Option a is correct.
11. ½ * ¼ * 1/10 * 400 = 5. Option b.
12. We have to find the area of the two triangles. We know that the base of these triangles will be equal to the sides of the square which is, say 2x units. So, angles APH and DPH will be equal to 60 degrees and so, sum of the areas of the two triangles will be 2x * x/√3. Now, we can easily find the area of the polygon by subtracting the area of the triangles from 4x^2. We will get (4x^2 – 2x^2/√3)/(2x^2/√3) = 2√3 – 1. Option b.
13. 85 + 0.15n = 110. So, n = 166.67. So, 31+28+31+30+31+16.67 and hence, June 16. The question is not exactly great and there was probably an error while ‘lifting’ this from the CAT 2007 paper. Option b.
14. Simply looking at the options, we can see that option a is the only one that satisfies. But, we also have cases such as x = -1/5 when it satisfies the given inequality and so, none of the options give the proper range. Option d.
15. (24 + 0.3x)/(40 + x) = ½
48 + 0.6x = 40 + x
x = 20. Option b.
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You can follow the entire sprint series here: SNAP 2016 Sprint Preparation Series by Learningroots
Also, you can check out all the articles under the series by going to this page: SNAP 2016 Sprint Preparation Series Timetable
