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Selected word problems for SBI PO PRELIM

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Directions (1-5): Study the following information carefully and answer
the given questions.

There are certain number of students studying in a school. In a survey it is
found that 45.6% of total number of students like tea. 12.8% of total number of
students like cold drink. 84.4% of total number of students like milk. 7% of
students do not like any drink. 3.6% students like tea and cold drink. 10.2% of
total students like cold drink and milk. 38.6% of total students like tea and
milk. 2.6% students like all three drinks. Number of students who do not like
any drinks is 35.

Q1. What is the number of students who like only milk?
(a) 204
(b) 180
(c) 193
(d) 191
(e) 229

Q2. What is the number of students who like tea and cold drink but
don’t like milk?
(a) 5
(b) 8
(c) 13
(d) 12
(e) 18

Q3. What is the number of students who like exactly two drinks out of
the given three options?
(a) 221
(b) 223
(c) 227
(d) 229
(e) 231

Q4. What is the number of students who like at least one drink?
(a) 455
(b) 465
(c) 475
(d) 485
(e) 500

Q5. What is the number of students who like at least two drinks?
(a) 232
(b) 234
(c) 236
(d) 238
(e) 240

Q6.If Length of a rectangular field is increased by 21 metres and breadth is decreased by 9 metres, area of the field remains unchanged. If length be decreased by 21 metres and breadth be increased by 15 metres, again area remains unchanged.
Find the length of diagonal of
the rectangle.
(a) 90 m
(b) 64 m
(c) 95.3 m(approx)
(d) 64.8 m (approx)
(e) 78 m

Q7. An order was placed for supply of carpet of breadth 3 m, and the
length of the carpet was 1.44 times of breadth. Subsequently the
breadth and length were increased by 25 and 40 percent respectively.
At the rate of Rs. 45 per square metre, what would be the increase in
the cost of the carpet ?
(a) Rs. 1020.60
(b) Rs. 398.80
(c) Rs. 437.40
(d) Rs. 583.20
(e) None of these

Q8. The circumferences of two circles are 132 metres and 176 metres
respectively. What is the difference between the area of the larger
circle and that of the smaller circle ?
(a) 1048 sq m
(b) 1076 sq m
(c) 1078 sq m
(d) 1090 sq m
(e) 1088 sq m

Q9. The perimeter of a square is equal to twice the perimeter of a
rectangle of length 8 cm and breadth 7 cm. What is the circumference
of a semicircle whose diameter is equal to the side of the square?
(Rounded off to two decimal place)
(a) 38.57 cm
(b) 23.57 cm
(c) 42.46 cm
(d) 47.47 cm
(e) 35.57 cm

Q10. A circle and a rectangle have the same perimeter. The sides of the
rectangle are 18 cm and 26 cm. What is the area of the circle?
(a) 88 cm2
(b) 1250cm2
(c) 154cm2
(d) Cannot be determined
(e) None of these

Q11. A 180 meters long train running at a speed of 90km/hr passed a
240 meters long platform in T seconds. If train passed a tunnel in (7.2
+T) sec then find the length of tunnel?
(a) 350 meters
(b) 420 meters
(c) 480 meters
(d) 300 meters
(e) 260 meters

Q12. P and Q when coming from their homes towards each other meet
at a point X daily at 5:00 PM. Speed of P and Q is 40 km/hr and 30
km/hr respectively. One day Q got late therefore they met at 5:30 PM.
Find by how long Q got late (in minutes) if they met at point X.
(e)none of these

Q13. A boat takes 1 hour more to cover 90 km distance in upstream
than in downstream. If speed of boat is 75/2 km/hr in still water, then
find speed of stream?
(a) 20/3 km/h
(b) 35/2 km/h
(c) 45 km/h
(d) 91/3 km/h
(e) 15/2 km/h

Q14. Two cars A & B running along the same road. Car A runs at a
speed of 80 km/hr. the car B starts running 6 hours after car A at a
speed of 30 km/hr more than speed of car A. find at what distance car
B catch up car A?
(a) 1440 km
(b) 2196 km
(c) 1760 km
(d) 1310 km
(e) 800 km

Q15. A man rows at a speed of 8 km/hr in still water to a certain
distance upstream and back to the starting point in a river which flows
at 4 km/hr. Find his average speed for total journey.
(a) 8 km/hr
(b) 6 km/hr
(c) 4 km/h
(d) 10 km/hr
(e) None of these