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After successfully completing the CAT 2016 sprint series and the SNAP 2016 sprint series, we are back with the XAT 2017 sprint preparation series – Quant 2 to boost your prep. This series will consist of 10 sets of questions from past year XAT papers, leading to XAT 2017 and covered almost all the question types that you needed to know come the 8th of January.

# XAT 2017 sprint preparation series – Quant 2

Answer question numbers 1 and 2 based on the following information.

Total income tax payable is obtained by adding two additional surcharges on calculated income tax.

-Education Cess: An additional surcharge called ‘Education Cess’ is levied at the late of 2% on the amount of income tax
-Secondary and Higher Education Cess: An additional surcharge called ‘Secondary and Higher Education Cess’ is levied at the rate of 1% on the amount of income tax

 Income-Tax Rates for Financial Year 2009-10 Individual & HUF below age of 65 years Women below age of 65 years Tax Rates Income up to (Rs.) Income up to (Rs.) 160000 190000 Nil 160001-300000 190001-300000 10% 300001-500000 300001-500000 20% Above 500001 Above 500001 30%

1. Sangeeta is a young working lady. Towards the end of the financial year 2009-10, she found her total annual income to be Rs.3,37,425/-. What % of her income is payable as income tax?

A.5.64
B.6.82
C.7.38
D.8.10
E.None of the above

2. Madan observed his tax deduction at source, done by his employer, as Rs. 3,17,910/-. What was his total income (in Rs.) if he neither has to pay any additional tax nor is eligible for any refund?

A.13,48,835/-
B.14,45,522/-
C.14,47,169/-
D.15,70,718/-
E.None of the above

3. A straight line through point P of a triangle PQR intersects the side QR at the point S and the circumcircle of the triangle PQR at the point lf S is not the centre of the circumcircle, then which of the following is true?

A.(1/PS) + (1/ST) < 2/√ (QS)(QR)
B.(1/PS) + (1/ST) < 4/ QR
C.(1/PS) + (1/ST) > 1√ (QS)(QR)
D.(1/PS) + (1/ST) > 4/ QR
E.None of the above

4. What is the maximum possible value of (21 Sin X + 72 Cos X)? (3 marks)

A.21
B.57
C.63
D.75
E.None of the above

5. The scheduling officer for a local police department is trying to  schedule  additional patrol units in each of two neighbourhoods – southern and She knows that on any given day, the probabilities of major crimes and minor crimes being committed in the northern neighbourhood were  0.418  and  0.612,  respectively,  and  that  the  corresponding probabilities in the southern neighbourhood were 0.355 and 0.520. Assuming that all crime occur  independent  of  each  other  and  likewise  that  crime  in  the  two  neighbourhoods  are independent of each other, what is  the  probability  that  no  crime  of  either  type  is committed in either neighbourhood on any given day?

A.0.069
B.0.225
C.0.69
D.0.775
E.None of the above

Answer question numbers 6 and 7 based on the following information.

A man standing on a boat south of a light house observes his shadow to  be  24 meters  long, as measured at the sea level. On sailing 300 meters eastwards, he finds his shadow as 30 meters long, measured in a similar manner. The height of the man is 6 meters above sea level.

6. The height of the light house above the sea level is:

A.90 meters
B.94 meters
C.96 meters
D.100 meters
E.l06  meters

7. What is the horizontal distance of the man from the lighthouse in the second position?

A.300 meters
B.400 meters
C.500 meters
D.600 meters
E.None of the above

8. A 25 ft long ladder is placed against the wall with its base 7 ft from the The base of the ladder is drawn out so that the top comes down by half the distance that the base is drawn out. This distance is in the range:

A.(2, 7)
B.(5, 8)
C.(9, 10)
D.(3, 7)
E.None of the above.

9. The domain of the function f(x) = log7{log3(log5(20x – x2 – 91 ))} is:

A.(7, 13)
B.(8, 12)
C.(7, 12)
D.(12, 13)
E.None of the above

10. There are four machines in a factory. At exactly 8 pm, when the mechanic is about to leave the factory, he is informed that two of the four  machines are not working   The mechanic is in a hurry, and decides that he will identify the two faulty machines before going home, and repair them next morning. It takes him twenty minutes to walk to the bus stop. The last bus leaves at 8:32 pm. If it takes six minutes to identify whether a machine is defective or not, and  if he decides to check the machines at random, what is the probability that the mechanic will be able to catch the last bus?

A.0
B.1/6
C.1/4
D.1/3
E.1

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You can follow the entire sprint series here: XAT 2017 Sprint Preparation Series by Learningroots