MODEL QUESTION PAPER FOR SBI PO EXAM -Section 3 QUANTITATIVE APTITUDE

DOWNLOAD MODEL QUESTION PAPER FOR SBI PO EXAM WITH ANSWERS AND EXPLANATIONS
101. If the persons A and B have incomes in the ratio 7 : 5 and
expenditures in the ratio 3 : 2 and each one of them saves Rs R, then,
the income of A is:

(1) 14R (2) 7R (3) (7/2)R (4)R/2 (5) None of these

102. If x + a is a factor of x3 + ax2 – 2x + a + 4, then a equals:


(1) 2/5 (2) -4 (3) -4/3 (4) 2/3 (5) Cannot be solved

103. At 7 : 55 a.m. a police jeep started chasing a stolen car
running at 85 km/hr ahead of it by 5 km. At what time will the police jeep
overtake the stolen car, if its speed is 100 km/hr?
(1) 8 : 30 a.m.
(2) 8 : 20 a.m.
(3) 8 : 25 a.m.
(4) 8 : 15 a.m.
(5) 9 : 00 a.m.

104. It takes the same time to go 20 km downstream as it takes
to go 12 km upstream. If the speed of the boat used is 8 km/hr in still
water, the speed of the stream (in km/hr) is:
(1) 4 (2)1 (3)0
(4) 3 (5)2

105. Ravi and Dev have an age ratio of 15 : 8, which will be 5 : 3
in 10 years time. Their present ages (in years) are:
(1) 15, 8 (2) 30, 16 (3) 45, 24
(4) 60, 32 (5) 75, 40

Directions (Qs. 106-108): Each of the following questions has
two equations on the basis of which you have to find the relation
between a and b. Provide the answers as:
106. I: a2 – 10a + 25 = 0.
II: 300% of 60% + 10% of 32 = b.

107. I: a2 – 3a – 18 = 0.
II: b2 + 6b + 9 = 0
108.
Directions (Qs. 109-110): Find the approximate value of x
109. x = log10 160 (given log10 2 = 0.3010).
(1) 2.5 (2) 2.2 (3) 2.4
(4) 2.1 (5) 2.8
110. 2 sin2 x – cos x + 4 = 0
Directions (Qs. 111-115): In these questions, each question is
followed by two statements. On the basis of the question asked
and the given statements, you have to decide whether the data
is/are sufficient to answer the question. Give answer as:
(1) if the data in statement I alone is sufficient, while not in II alone
(2) if the data in statement II alone is sufficient, while I alone is not
(3) if the data in either statement I alone or II alone is sufficient
(4) if the data in both statements together is not sufficient
(5) if the data in both statements I and II are needed together

111. How many straight lines can be formed from 6 points in a
plane?
Statement I: 4 points are collinear.
Statement II: 3 points are collinear.

112. What is the probability that Ravi and Dev contradict a given
statement?
Statement I: Ravi speaks truth in 60% cases.
Statement II: Dev speaks truth in 50% cases.

113. The simple interest on a certain sum of money for 2 years is
Rs 260. Find the sum.
Statement I: The sum amounts to Rs 5590 in 3 years and Rs 5850
in 5 years.
Statement II: The sum is doubled in 40 years.

114. Is the two-digit number N divisible by 18?
Statement I: When N is multiplied with 3, the result is a 3-digit
number.
Statement II: When N is divided by 3, the remainder is 1.

115. A boat goes upstream and then returns downstream. What
is the total distance?
Statement I: Upstream speed is 4 km/hr and downstream speed is
8 km/hr.
Statement II: Average speed is

116. The value of x in the inequality 2x2 – x + 15 <>117. What should be the value of the question mark:

118. 2 rice varieties costing Rs 25 per kg and Rs 35 per kg were
mixed as 2 : 3 and sold so as to gain 20%. What was the SP of the
mixture (Rs/kg)?
(1) 37.2 (2) 28.6 (3) 30
(4) 32 (5) 40.5

119. A huge jar contains 2 liquids A and B in the ratio 7 : 4.When
12 litres of mixture is removed and replaced by B, the ratio now
becomes 4 : 7. The capacity of the vessel (in litres) is:
(1) 120 (2) 240 (3) 280
(4) 300 (5) 560

120. If the difference between CI and SI on Rs 1 lakh was Rs 36
in 2 years, the rate of yearly interest is:

121. Toffees are bought at 4 for a rupee and the same number at
6 for a rupee. Then, they are mixed and sold at 5 per rupee. What is the
net profit or loss?
(1) 2% loss
(2) 10% profit
(3) no profit or loss
(4) 4% loss
(5) None of these

122. How many triangles can be obtained from 5 coplanar
points? (No 3 points are collinear).
(1) 5 (2) 3 (3) 10
(4) 20 (5) 8

123. If the chances that Sonu, Monu, Mahesh can solve a
problem are what is the probability that given problem can be
solved if they all try?
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