Dear Readers,
Mahendras has started special quizzes for IBPS PO & Clerk Exam so that you can practice more and more to crack the examination. This IBPS PO & Clerk Exam special quiz series will mold your preparations in the right direction and the regular practice of these quizzes will be really very helpful in scoring good marks in the Examination. Here we are providing you the important question of reasoning ability for the IBPS PO & Clerk Exam Exam.
(1) 300 gm sugar solution has 40% sugar in it. How much sugar should be added to make it 50% in the solution?
300 ग्राम के चीनी के विलयन में 40% चीनी है। इसमें कितनी चीनी मिलायी जाये ताकि विलयन में चीनी 50% हो जाए ?
(1) 25 gm
(2) 45 gm
(3) 40gm
(4) 60 gm
(5) 50 gm
(2) Shyam can row against the stream in 9 hrs and comes back to the starting point in 6 hrs. If the speed of stream is 2.4 Km/hr. Find the speed of the boat in still water?
श्याम धारा के विरुद्ध किसी दूरी को 9 घंटे में पार करता है तथा वापस निर्धारित स्थान पर वापस आने में 6 घंटे लेता है। धारा की चाल 2.4 किमी/घंटा है। शांत जल में नाव की चाल ज्ञात कीजिये?
(1) 12 Km/hr
(2) 16 Km/hr
(3) 18 Km/hr
(4) 10 Km/hr
(5) 8 Km/hr
(3) A shopkeeper gave 5 T-shirt free on the purchase of 20 T-shirts on cash and 3 T-shirts free on purchase of 27 T-shirt, if they are purchase on credit. Find the difference in discount percent in both the cases?
एक दुकानदार 5 टी शर्ट मुफ्त देता है यदि 20 टी शर्ट नकद देकर खरीदी जाये और 3 टी शर्ट मुफ्त देता है यदि 27 टी शर्ट उधार पर खरीदी जाये, छूट प्रतिशत का अंतर ज्ञात कीजिये?
(1) 8%
(2) 5%
(3) ![](data:image/png;base64,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)
(4) ![](data:image/png;base64,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)
(5) 10%
Q-(4-8) In each of the following question, equations are given. You have to solve them and state the correct relationship-
निम्नलिखित प्रश्नों में समीकरण दिये गये है, दिये गये समीकरणों को हल कीजिए और सही सम्बन्ध स्थापित कीजिये-
(4)![](data:image/png;base64,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)
(1) If P>Q
(2) If P>Q
(3) If P<Q
(4) If P<Q
(5) If P=Q or relationship cannot be established
(5) ![](data:image/png;base64,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)
(1) If P>Q
(2) If P>Q
(3) If P<Q
(4) If P<Q
(5) If P=Q or relationship cannot be established
(6) I. P2 – 6P – 16 = 0 II. Q2 + 6Q – 16 = 0
(1) If P>Q
(2) If P>Q
(3) If P<Q
(4) If P<Q
(5) If P=Q or relationship cannot be established
(7) I. P2 + 2P + 1 = 0 II. Q2 = 4
(1) If P>Q
(2) If P>Q
(3) If P<Q
(4) If P<Q
(5) If P=Q or relationship cannot be established
(8) I. P2 = 36 II. Q2 = 49
(1) If P>Q
(2) If P>Q
(3) If P<Q
(4) If P<Q
(5) If P=Q or relationship cannot be established
(9) A and B can do a piece of work in 15 days, B and C can do it in 18 days and C and A can do it in 24 days. B alone can do the work in how many days?
A और B किसी काम को 15 दिनों में कर सकता है। B और C उसी काम को 18 दिनों में और C और A उसी काम को 24 दिनों में कर सकते है। तो B अकेले उस कार्य को कितने दिनों में करेगा?
(1) 26 days
(2) ![](data:image/png;base64,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)
(3) ![](data:image/png;base64,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)
(4) ![](data:image/png;base64,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)
(5) None of these
(10) What is the minimum amount of cardboard required to make a closed box of dimension 26 cm × 20 cm × 7 cm?
एक बन्द बाक्स जिसकी भुजाएं क्रमशः 26 सेमी × 20 सेमी × 7 सेमी है, को बनाने के लिए दफ्ती की न्यूनतम कितनी मात्रा की आवश्यकता होगी ?
(1) 4096 cm2
(2) 1684 cm2
(3) 1849 cm2
(4) Cannot be determined
(5) None of these
Answer Key-
Q-(1) Sol-(4)
Q-(2) Sol-(1)
Q-(3) Sol-(5)
Q-(4) Sol-(1)
Q-(5) Sol-(3)
I.![](data:image/png;base64,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)
P : Q = 72 : 77
Q > P
Q-(6) Sol-(5)
I. P = +8, – 2
II. Q = – 8, +2
So, relation cannot be established.
Q-(7) Sol-(5)
I. P = – 1
II. Q = +2
So, relation cannot be established.
Q-(8) Sol-(5)
I. P = +6
II. Q = +7
So, relation cannot be established.
Q-(9) Sol-(2)
Q-(10) Sol-(2)
Area of required cardboard
= 2 [26 × 20 + 26 × 7 + 20 × 7]
= 2 (520+ 182 + 140)
= 2 × 842
= 1684 cm2
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MAHENDRA GURU