PSA_Quantitative Reasoning Online Test-1

1) If a quarter kg of potato costs 60 paise, how many paise will 200 gm cost?

48 paise

54 paise

56 paise

72 paise

Explanation

2)

Q.19. What was the number of males in U.P. in the year 1998?

254650

294840

321470

341200

Explanation

3) The greatest number which on dividing 1657 and 2037 leaves remainders 6 and 5 respectively, is:

123

127

235

305

Required number = H.C.F. of (1657 - 6) and (2037 - 5)

= H.C.F. of 1651 and 2032 = 127.

Explanation

Required number = H.C.F. of (1657 - 6) and (2037 - 5)

= H.C.F. of 1651 and 2032 = 127.

4) 100 oranges are bought at the rate of Rs. 350 and sold at the rate of Rs. 48 per dozen. The percentage of profit or loss is:

Explanation

5) Find out the wrong number in the given sequence of numbers. 25, 36, 49, 81, 121, 169, 225

36

49

121

169

The numbers are squares of odd natural numbers, starting from 5 up to 15.

So, 36 is wrong.

Explanation

The numbers are squares of odd natural numbers, starting from 5 up to 15.

So, 36 is wrong.

6)

Q.17 What was the total number of illiterate people in A.P. and M.P. in 1998?

876040

932170

981550

1161160

Explanation

7) A sum of Rs. 12,500 amounts to Rs. 15,500 in 4 years at the rate of simple interest. What is the rate of interest?

3%

4%

5%

6%

Explanation

8) A train travelling at a speed of 75 mph enters a tunnel 3 1/2

miles long. The train is 1/4

mile long. How long does it take for the train to pass through the tunnel from the moment the front enters to the moment the rear emerges?

2.5 min

3 min

3.2 min

3.5 min

Explanation

9) The least multiple of 7, which leaves a remainder of 4, when divided by 6, 9, 15 and 18 is:

74

94

184

364

Explanation:

L.C.M. of 6, 9, 15 and 18 is 90.

Let required number be 90k + 4, which is multiple of 7.

Least value of k for which (90k + 4) is divisible by 7 is k = 4.

Required number = (90 x 4) + 4 = 364.

Explanation

Explanation:

L.C.M. of 6, 9, 15 and 18 is 90.

Let required number be 90k + 4, which is multiple of 7.

Least value of k for which (90k + 4) is divisible by 7 is k = 4.

Required number = (90 x 4) + 4 = 364.

10) Seats for Mathematics, Physics and Biology in a school are in the ratio 5 : 7 : 8. There is a proposal to increase these seats by 40%, 50% and 75% respectively. What will be the ratio of increased seats?

2 : 3 : 4

6 : 7 : 8

6 : 8 : 9

None of these

Explanation

11) THE NEXT 5 QUESTIONS ARE BASED ON THE FOLLOWING GRAPH: Data of different states regarding population of states in the year 1998

Total population of the given States = 3276000.

Q.16. What will be the percentage of total number of males in U.P., M.P. and Goa together to the total population of all the given states?

25%

27.5%

28.5%

31.5%

Explanation

12)

Q.18. What is the ratio of the number of females in T.N. to the number of females in Delhi?

7 : 5

9 : 7

13 : 11

15 : 14

Explanation

13) The question given below consists of a statement and / or a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statement(s) is / are sufficient to answer the given question

What is the height of a circular cone?
I.	The area of that cone is equal to the area of a rectangle whose length is 33 cm.
II.	The area of the base of that cone is 154 sq. cm.

I alone sufficient while II alone not sufficient to answer

II alone sufficient while I alone not sufficient to answer

Either I or II alone sufficient to answer

Both I and II are not sufficient to answer

Both I and II are necessary to answer

Explanation

14) Sakshi can do a piece of work in 20 days. Tanya is 25% more efficient than Sakshi. The number of days taken by Tanya to do the same piece of work is:

15

16

18

25

Explanation

15) P can complete a work in 12 days working 8 hours a day. Q can complete the same work in 8 days working 10 hours a day. If both P and Q work together, working 8 hours a day, in how many days can they complete the work?

60/11

61/11

71/11

72/11

Explanation

16) Two trains, each 100 m long, moving in opposite directions, cross each other in 8 seconds. If one is moving twice as fast the other, then the speed of the faster train is:

30 km/hr

45 km/hr

60 km/hr

75 km/hr

Explanation

17) A train 125 m long passes a man, running at 5 km/hr in the same direction in which the train is going, in 10 seconds. The speed of the train is:

45 km/hr

50 km/hr

54 km/hr

55 km/hr

Explanation

18) A man takes twice as long to row a distance against the stream as to row the same distance in favour of the stream. The ratio of the speed of the boat (in still water) and the stream is:

2 : 1

3 : 1

3 : 2

4 : 3

Explanation

19)

Q.20.If in the year 1998, there was an increase of 10% in the population of U.P. and 12% in the population of M.P. compared to the previous year, then what was the ratio of populations of U.P. and M.P. in 1997?

42 : 55

48 : 55

7 : 11

4 : 5

Explanation

20) At what time between 5.30 and 6 will the hands of a clock be at right angles?

Explanation

Psa_quantitative Reasoning Online Test-1