**Dear Aspirants,** **Our SSC Crackers team** is providing a new series of Quantitative Aptitude Questions for **Upcoming Exam **so the aspirants can practice it on a daily basis. These questions are framed by our skilled experts after understanding your needs thoroughly. Aspirants can practice these new series questions daily to familiarize with the exact exam pattern and make your preparation effective.

**1) How many two digit numbers are there which ends in 7 and are divisible by 3?**

(a) 2

(b) 3

(c) 4

(d) 5

**2) If 165 ^{2} = 27225, then what is the value of **

**√**

**272.25+√2.7225+ √0.027225?**

(a) 12.25

(b) 34.65

(c) 19.8

(d) 18.315

**3)** **What is the unit’s place of 29 ^{136}?**

(a) 1

(b) 3

(c) 7

(d) 9

**4) What is the value of ****√****(37+20√3) -√(61+28√3) ?**

(a) –1

(b) 1

(c) 2

(d) –2

**5) Which of the following relation(s) is/are false?**

**I.** (27)^{1/3 }> (13)^{1/2 }< (47)^{1/6}

**II.** (23)^{1/3 }< (49)^{1/2} < (52)^{1/6}

**III.** (53)^{ 1/6} < (41)^{1/3 }< (37)^{1/2}

(a) Only III

(b) Both I and II

(c) II and III only

(d) All relations are false

**6) P, Q and R together can complete a work in 36 days. If the ratio of efﬁciency of P, Q and R is 3 : 2 : 1 respectively, then in how many days R alone cancomplete the same work?**

(a) 108

(b) 216

(c) 72

(d) 144

**7) ** **Two pipes A and B can ﬁll an empty tank in 10 hours and 15 hours respectively. Pipe C alone can empty the completely ﬁlled tank in 12 hours. First bothpipes A and B are opened and after 5 hours pipe C is also opened. What is the total time (in hours) in which the tank will be ﬁlled?**

(a) 7

(b) 5

(c) 9

(d) 8

**8)** **If two successive discounts of 40% and 20% are given, then what is the net discount?**

(a) 56

(b) 68

(c) 52

(d) 60

**9) An article is sold at a discount of 35%. If the selling price of the article is Rs 2275, then what is the marked price (in Rs) of the article?**

(a) 3250

(b) 3300

(c) 3000

(d) 3500

**10) P, Q and R invest in a business in the ratio of ****1/2:1/3:1/12 respectively. Out of a total profit of Rs. 121000, what will be the share of Q?**

(a) Rs. 44000

(b) Rs. 50000

(c) Rs.48000

(d) Rs.46500

**Answers:**

**1) Answer: B**

Only 27, 57, 87 are two digit numbers which ends in 7 and are divisible by 3.

**2) ** **Answer: D**

√272.25+√2.7225+√0.027225

= 16.5 + 1.65 + 0.165

= 18.315

**3)** **Answer: A**

The powers of 9 operate as follows

9¹ = __9__

9² = 8__1__

9³ = 72__9__ and so on.

Hence, the power cycle of 9 also contains only 2 numbers 9 & 1, which appear in case of odd and even powers respectively.

So broadly these can be remembered in even and odd only, i.e. 4^{ odd} = 4 and 4^{even} = 6. Likewise

9^{odd}=9 and 9^{ even} =1

So,

29^{(136)} = 9^{ even}

So unit’s place = 1

**4)** **Answer: D**

√((37+20√3) )–√(61+28√3)

√((5+2√3)^{2} )–√((7+2√3)^{ 2})

= 5 + 2 √3 – 7 – 2√3

= – 2

**5)** **Answer: B**

I. (27)^{(1/3) }> (13)^{(1/2) }< (47)^{(1/6)}

or (27)^{4 }> (13)^{6 }< (47)^{2}

which is wrong.

II. (23)^{1/3 }< (49)^{1/2} < (52)^{1/6}

Which is also wrong.

III. (53)^{ 1/6} < (41)^{1/3}< (37)^{1/2}

or (53) < (41)^{2 }< (37)^{3}

which is right.

So option (b) is correct.

**6)** **Answer: B**

P + Q + R – 36 days.

Efficiency of P + Q + R = 6

R alone can complete the work in =(36×6)/1= 216

**7)** **Answer: A**

(A + B) for 5 hr = 10 × 5

= 50 unit

Remain = 10 unit

A + B – C= 5/hr

Total time in which tank will be filled

=10/5+5 hr

= 7 hr

**8)** **Answer: C**

Discount= a+b- ab/100

= 40+20-(40×20)/100

= 52%

**9) Answer: D**

Let M.P. = x

M.P.×((100 –Discount)/100)%=S.P.

x×((100 –35)/100)%=2275

x× 65/100=2275

x = 3500 Rs.

**10) Answer: A**

P : Q : R= 1/2 : 1/3 : 1/12

or 6 : 4 : 1

given 11R = 121000

1R = 11000

Q’s share = 4R

= 4 × 11000

= 44000