**Quantitative Aptitude Quiz ** for IBPS PO, IBPS Clerk, IBPS SO, RRB PO, RRB Clerk, SBI PO, SBI Clerk, SBI SO, UPSC, CAT, MAT, LIC and other Competitive Exams.

## Solve the following Questions

**Q 1: The Sum of two numbers is 184. If one -third of the one exceeds one -seventh of the others by 8, find the smallest number:**

- 82.
- 72.
- 62.
- 92.

**Q 2: The C.P. of two watches taken together is Rs 840. If by selling one at a profit of 16% and the other at a loss of 12%, there is no loss or gain in the whole transaction, then the C.P. of the two Watches are Respectively:**

- Rs 380, Rs 460.
- Rs 360, Rs 480.
- Rs 480, Rs 360.
- Rs 400, Rs 440.

**Q 3: A,B and C enter into partnership. A Invest 3 times as much as B invests and B invests two-third of what C invests. At the end of the Year, the profit earned is Rs 6600. What is the share of B:**

- Rs 1800.
- Rs 1600.
- Rs 1200.
- Rs 1900.

**Q 4: A Machine P can print one lakh books in 8 Hrs, Machine Q can print the same number of books in 10 Hrs while Machine R can print them in 12 Hrs. All the machine are started at 9 a.m. while Machine P is closed at 11 a.m and the renaming two Machine complete the work. Approximately at what time will the work be finished:**

- 1 p.m.
- 11:30 a.m.
- 12 noon.
- 12:30 p.m.

**Q 5: A,B and C are on a trip by a car. A Drive During the first hour at an average speed of 50 km/hr. B Drives the during the next 2 hours at an average speed of 48 km/hr. C Drives for the next 3 hours at an average speed of 52 km/hr. They reached their destination after exactly 6 hours. Their speed was:**

- 52 km/hr.
- 55 – 1/3 km/hr.
- 50 km/hr.
- 51— 1/3 km/hr.

### Solutions**:**

- Let the number be x and (184-x). Then

X/3 – (184-x)/7 =8

7x – 3(184 – x) =168.

10x = 720. So x = 72.

So the Numbers are 72 and 112. Hense smallest Number is 72.

2. Let the C.P of the Watches be Rs x and Rs (840-x).

So (116% of x) + ( 88% of (840-x)) = 840.

So 116x + 73920 – 88x = 84000

28x = 10080.

So x = 360

So their cost prices are Rs 360 and Rs 480.

3. Let C’s Capital = Rs x.

Then B’s Capital = Rs 2/3 x.

A’s Capital = Rs (3 * 2/3 x) = Rs 2x.

Ratio of their Capital = 2x : 2/3 x : x = 6:2:3.

Hense B’s Share = Rs( 6600 * 2/11) = Rs 1200.

4. Work done by P+ Q+R in 1 Hrs is ( 1/8 +1/10+1/12) = 37/120.

Work done by P,Q,R in 2 Hrs = (37/120 *2) = 37/60.

1 Hrs work of Q+R is (1/10 + 1/12) = 11/60.

Now, 11/60 work is done by Q and R in 1 Hrs.

So 23/60 work will be done by Q and R in ( 60/11 * 23/60) = 23/11 = 2 Hrs.

So the work will be finished approx. 2 Hrs after 11 A.M i.e 1 P.M.

5. Total distance travelled = (50 * 1 + 48 * 2 + 52 * 3)km = 302 km.

Total time taken = 6 hrs.

So Mean speed is (320/6) km/hr = 50 -1/3 km/hr

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Team Learn Dunia